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[1]
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Z. Zhang, J. Wu, A.O. Fapojuwo, Z. Galias, and C.K Chi.
Guest editorial complex cyber-multitudinal-physical systems:
Analysis, decision-making, and AI applications.
IEEE Journal on Emerging and Selected Topics in Circuits and
Systems, 13(3):641-645, 2023.
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DOI
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[2]
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Z. Galias.
A fast method to find periodic orbits in chaotic attractors with
applications to the Rössler system.
IEEE Trans. Circuits Syst. II, Exp. Briefs, 70(9):3659-3663,
2023.
BibTeX,
DOI,
.pdf
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[3]
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Z. Galias.
Rigorous numerical study of the Colpitts oscillator with an
exponential nonlinearity.
Chaos: Interdiscipl. J. Nonlinear Sci., 33(1):013138, 2023.
BibTeX,
DOI,
.pdf
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[4]
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Z. Galias.
Dynamics of the Hénon map in the digital domain.
IEEE Trans. Circuits Syst. I, Reg. Papers, 70(1):388-398,
2023.
BibTeX,
DOI,
.pdf
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[5]
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Z. Galias.
On rigorous integration of continuous piecewise linear systems.
Communications in Nonlinear Science and Numerical Simulation,
107:106109, 2022.
BibTeX,
DOI,
.pdf
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[6]
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Z. Galias and W. Tucker.
The Songling system has exactly four limit cycles.
Applied Mathematics and Computation, 415:126691, 2022.
BibTeX,
DOI,
.pdf
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[7]
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Z. Galias.
Continuation-based method to find periodic windows in bifurcation
diagrams with applications to the Chua's circuit with a cubic nonlinearity.
IEEE Trans. Circuits Syst. I, Reg. Papers, 68(9):3784-3793,
2021.
BibTeX,
DOI,
.pdf
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[8]
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Z. Galias.
Periodic orbits of the logistic map in single and double precision
implementations.
IEEE Trans. Circuits Syst. II, Exp. Briefs, 68(11):3471-3475,
2021.
BibTeX,
DOI,
.pdf
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[9]
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Z. Galias.
Simulations of memristors using the Poincaré map approach.
IEEE Trans. Circuits Syst. I, Reg. Papers, 67(3):963-971,
2020.
BibTeX,
DOI,
.pdf
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[10]
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P. Zegarmistrz and Z. Galias.
Study of forming process in memristive devices using rectangular
waves.
Przeglad Elektrotechniczny, 96(1):15-18, 2020.
BibTeX,
DOI
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[11]
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Z. Galias.
On topological entropy of finite representations of the Hénon
map.
Int. J. Bifurcation Chaos, 29(13):1950175 (12 pages), 2019.
BibTeX,
DOI,
.pdf
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[12]
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Z. Galias.
Tree-structure based deterministic algorithms for optimal switch
placement in radial distribution networks.
IEEE Trans. Power System, 34(6):4269-4278, 2019.
BibTeX,
DOI,
.pdf
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[13]
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S. Moskwa, S. Kozieł, M. Siłuszyk, and Z. Galias.
Zastosowanie modelu pogodowego w optymalizacji lokalizacji punktów
rozcieć w sieciach dystrybucyjnych.
Przegl±d Elektrotechniczny, 95(2):117-122, 2019.
BibTeX,
DOI
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[14]
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Z. Galias and W. Tucker.
Rigorous integration of smooth vector fields around spiral saddles
with an application to the cubic Chua's attractor.
Journal of Differential Equations, 266(5):2408-2434, 2019.
BibTeX,
DOI
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[15]
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Z. Galias.
Study of amplitude control and dynamical behaviors of a memristive
band pass filter circuit.
IEEE Trans. Circuits Syst. II, Exp. Briefs, 65(5):637-641, May
2018.
BibTeX,
DOI,
.pdf
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[16]
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Z. Galias.
Probabilistic model for studying blackouts in power networks.
IEEE Journal on Emerging and Selected Topics in Circuits and
Systems, 7(2):218-227, June 2017.
BibTeX,
DOI
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[17]
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S. Moskwa, S. Kozieł, M. Siłuszyk, and Z. Galias.
Ograniczenie oddziaływania skutków awarii w sieciach
energetycznych na odbiorcę końcowego za pomoc± sekcjonowania struktury
sieciowej.
Acta Energetica, pages 168-172, 2017.
BibTeX
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[18]
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Z. Galias.
Numerical study of multiple attractors in the parallel
inductor-capacitor-memristor circuit.
Int. J. Bifurcation Chaos, 27(11):1730036 (16 pages), 2017.
BibTeX,
DOI
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[19]
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Z. Galias.
Systematic search for wide periodic windows and bounds for the set of
regular parameters for the quadratic map.
Chaos: Interdiscipl. J. Nonlinear Sci., 27(5):053106, 2017.
BibTeX,
DOI,
.pdf
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[20]
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Z. Galias and X. Yu.
Analysis of delayed sliding mode control systems under zero-order
holder discretization.
IEEE Trans. Autom. Control, 61(9):2739-2744, September 2016.
BibTeX,
DOI,
.pdf
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[21]
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Y. Yan, Z. Galias, X. Yu, and C. Sun.
Euler's discretization effect on a twisting algorithm based sliding
mode control.
Automatica, 68:203-208, June 2016.
BibTeX,
DOI
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[22]
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Z. Galias.
Rigorous analysis of Chua's circuit with a smooth nonlinearity.
IEEE Trans. Circuits Syst. I, Reg. Papers, 63(12):2304-2312,
Dec 2016.
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DOI,
.pdf
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[23]
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Z. Galias.
Rigorous numerical study of low-period windows for the quadratic map.
Int. J. Bifurcation Chaos, 25(10):1550139 (14 pages), 2015.
BibTeX,
DOI,
.pdf
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[24]
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B. Garda and Z. Galias.
Synthesis of the magnetic field using transversal 3D coil system.
Int. J. Electronics Telecommunications, 61(2):205-210, 2015.
BibTeX,
DOI
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[25]
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Z. Galias and W. Tucker.
Is the Hénon attractor chaotic?
Chaos: Interdiscipl. J. Nonlinear Sci., 25(3):033102 (12
pages), 2015.
BibTeX,
DOI,
.pdf
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[26]
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B. Garda and Z. Galias.
Tikhonov regularization and constrained quadratic programming for
magnetic coil design problems.
Int. J. Appl. Math. Comput. Sci., 24(2):249-257, 2014.
BibTeX,
DOI
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[27]
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Z. Galias.
Automatized search for complex symbolic dynamics with applications in
the analysis of a simple memristor circuit.
Int. J. Bifurcation Chaos, 24(7):1450104 (11 pages), 2014.
BibTeX,
DOI,
.pdf
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[28]
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Z. Galias.
Computer assisted proof of chaos in the Muthuswamy-Chua memristor
circuit.
Nonlinear Theory and Its Applications, IEICE, 5(3):309-319,
2014.
BibTeX,
http
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[29]
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Z. Galias and W. Tucker.
On the structure of existence regions for sinks of the Hénon map.
Chaos: Interdiscipl. J. Nonlinear Sci., 24(1):013120 (14
pages), 2014.
BibTeX,
DOI,
.pdf
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[30]
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Z. Galias.
The dangers of rounding errors for simulations and analysis of
nonlinear circuits and systems - and how to avoid them.
IEEE Circuits Syst. Mag., 13(3):35-52, 2013.
BibTeX,
DOI,
.pdf
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[31]
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Z. Galias and W. Tucker.
Numerical study of coexisting attractors for the Hénon map.
Int. J. Bifurcation Chaos, 23(7):1330025 (18 pages), 2013.
BibTeX,
DOI,
.pdf
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[32]
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P. Zegarmistrz and Z. Galias.
Analityczne algorytmy rekonstrukcji konduktancji w prostok±tnych
siatkach rezystorów.
Przegl±d Elektrotechniczny, (1a):138-141, 2013.
BibTeX
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[33]
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P. Zegarmistrz and Z. Galias.
Zastosowanie i porównanie algorytmów metaheurystycznych i
optymalizacyjnych w rekonstrukcji konduktancji siatek rezystorów.
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie
Środowiska, (3):19-24, 2012.
BibTeX
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[34]
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Z. Galias and X. Yu.
Dynamical behaviors of discretized second-order terminal sliding-mode
control systems.
IEEE Trans. Circuits Syst. II, Exp. Briefs, 59(9):597-601,
2012.
BibTeX,
DOI,
http,
.pdf
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[35]
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Z. Galias.
Rigorous study of the Chua's circuit spiral attractor.
IEEE Trans. Circuits Syst. I, Reg. Papers, 59(10):2374-2382,
2012.
BibTeX,
DOI,
http,
.pdf
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[36]
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Z. Galias and W. Tucker.
Validated study of the existence of short cycles for chaotic systems
using symbolic dynamics and interval tools.
Int. J. Bifurcation Chaos, 21(2):551-563, 2011.
BibTeX,
DOI,
.pdf
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[37]
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Z. Galias and X. Yu.
Study of periodic solutions in discretized two-dimensional
sliding-mode control systems.
IEEE Trans. Circuits Syst. II, Exp. Briefs, 58(6):381-385,
2011.
BibTeX,
DOI,
http,
.pdf
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[38]
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Z. Galias and X. Yu.
Analysis of zero-order holder discretization of two-dimensional
sliding-mode control systems.
IEEE Trans. Circuits Syst. II, Exp. Briefs, 55(12):1269-1273,
2008.
BibTeX,
DOI,
http
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[39]
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X. Yu, B. Wang, Z. Galias, and G. Chen.
Discretization effect on equivalent control-based multi-input
sliding-mode control systems.
IEEE Trans. Autom. Control, 53(6):1563-1569, 2008.
BibTeX,
DOI,
http
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[40]
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Z. Galias and P. Zgliczyński.
Infinite dimensional Krawczyk operator for finding periodic orbits
of discrete dynamical systems.
Int. J. Bifurcation Chaos, 17(12):4261-4272, December 2007.
BibTeX,
DOI
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[41]
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Z. Galias and X. Yu.
Euler's discretization of single input sliding mode control systems.
IEEE Trans. Autom. Control, 52(9):1726-1730, 2007.
BibTeX,
DOI
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[42]
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Z. Galias and X. Yu.
Complex discretization behaviors of a simple sliding-mode control
system.
IEEE Trans. Circuits Syst. II, Exp. Briefs, 53(8):652-656,
August 2006.
BibTeX,
DOI
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[43]
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Z. Galias.
Counting low-period cycles for flows.
Int. J. Bifurcation Chaos, 16(10):2873-2886, 2006.
BibTeX,
DOI
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[44]
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Z. Galias and M.J. Ogorzałek.
Design of coupled nonlinear systems for storage of prescribed binary
patterns.
Nonlinear Dynamics, 44(1-4):63-72, 2006.
BibTeX,
DOI
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[45]
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Z. Galias and M.J. Ogorzałek.
Influence of system non-uniformity on dynamic phenomena in arrays of
coupled nonlinear networks.
Int. Journal of Neural Systems, 13(6):397-404, 2003.
BibTeX,
DOI
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[46]
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Z. Galias and M.J. Ogorzałek.
Synchronization and cluster formation phenomena in CNN-like
structures of coupled nonlinear circuits.
Journal of Circuits, Systems and Computers, 12(4):389-397,
2003.
BibTeX,
DOI
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[47]
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G.M. Maggio and Z. Galias.
Applications of symbolic dynamics to differential chaos shift keying.
IEEE Trans. Circuits Syst. I, Reg. Papers, 49(12):1729-1735,
2002.
BibTeX,
DOI,
.pdf
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[48]
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Z. Galias.
Rigorous investigations of Ikeda map by means of interval
arithmetic.
Nonlinearity, 15:1759-1779, 2002.
BibTeX,
DOI,
.pdf
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[49]
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Z. Galias.
Proving the existence of long periodic orbits in 1D maps using
Newton method and backward shooting.
Topology and its Applications, 124(1):25-37, 2002.
BibTeX,
DOI,
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[50]
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Z. Galias and G.M. Maggio.
Quadrature chaos shift keying: Theory and performance analysis.
IEEE Trans. Circuits Syst. I, Reg. Papers, 48(12):1510-1519,
2001.
BibTeX,
DOI,
.pdf
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[51]
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X. Yu and Z. Galias.
Periodic behaviors in a digital filter with two's complement
arithmetic.
IEEE Trans. Circuits Syst. I, Reg. Papers, 48(10):1177-1190,
2001.
BibTeX,
DOI,
.pdf
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[52]
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Z. Galias and P. Zgliczyński.
Abundance of homoclinic and heteroclinic orbits and rigorous bounds
for the topological entropy for the Hénon map.
Nonlinearity, 14:909-932, 2001.
BibTeX,
DOI,
.pdf
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[53]
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Z. Galias.
Interval methods for rigorous investigations of periodic orbits.
Int. J. Bifurcation Chaos, 11(9):2427-2450, 2001.
BibTeX,
DOI,
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[54]
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A. D±browski, Z. Galias, and M.J. Ogorzałek.
Observations of phase synchronization phenomena in one-dimensional
arrays of coupled chaotic electronic circuits.
Int. J. Bifurcation Chaos, 10(10):2391-2398, 2000.
BibTeX,
DOI
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[55]
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Z. Galias.
Robustness of symbolic dynamics and synchronization properties.
Int. J. Bifurcation Chaos, 10(4):811-818, 2000.
BibTeX,
DOI,
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[56]
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Z. Galias and M.J. Ogorzałek.
Study of synchronized motions in a one-dimensional array of coupled
chaotic circuits.
Int. J. Bifurcation Chaos, 9(11):2219-2224, 1999.
BibTeX,
DOI,
.pdf
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[57]
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Z. Galias.
Local transversal Lyapunov exponents for analysis of
synchronization of chaotic systems.
Int. J. of Circuit Theory and Applications, 27:589-604, 1999.
BibTeX,
DOI,
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[58]
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Z. Galias and P. Zgliczyński.
Chaos in the Lorenz equations for classical parameter values. A
computer assisted proof.
Universitatis Iagellonicae Acta Mathematica, XXXVI:209-210,
1998.
BibTeX
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[59]
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M. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Abundance of attractors in an array of locally coupled nonlinear
circuits.
Bulletin of the Polish Academy of Sciences, 46(4):435-441,
1998.
BibTeX
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[60]
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Z. Galias and P. Zgliczyński.
Computer assisted proof of chaos in the Lorenz equations.
Physica D, 115:165-188, 1998.
BibTeX,
DOI,
.pdf
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[61]
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Z. Galias.
Rigorous numerical studies of the existence of periodic orbits for
the Hénon map.
J. of Universal Computer Science, Springer, 4(2):114-124,
1998.
BibTeX,
DOI,
.pdf
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[62]
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Z. Galias, C.A. Murphy, M.P. Kennedy, and M.J. Ogorzałek.
Electronic chaos controller.
Chaos, Solitons & Fractals, 8(9):1471-1484, 1997.
BibTeX,
DOI
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[63]
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Z. Galias.
Positive topological entropy of Chua's circuit: A computer assisted
proof.
Int. J. Bifurcation Chaos, 7(2):331-349, 1997.
BibTeX,
DOI,
.pdf
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[64]
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M.J. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Wave propagation, pattern formation and memory effects in large
arrays of interconnected chaotic circuits.
Int. J. Bifurcation Chaos, 6(10):1859-1871, 1996.
BibTeX,
DOI
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[65]
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M.J. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Spatio-temporal cooperative phenomena in CNN arrays composed of
chaotic circuits. simulation experiments.
Int. J. of Circuit Theory and Applications, 24:261-268, 1996.
BibTeX,
DOI
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[66]
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Z. Galias.
On a discrete time nonlinear system associated with the second-order
digital filter.
SIAM J. Appl. Math., 55(6):1782-1799, December 1995.
BibTeX,
DOI,
.pdf
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[67]
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M.J. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Chaotic waves and spatio-temporal patterns in large arrays of
doubly-coupled Chua's circuit.
IEEE Trans. Circuits Syst., 42(10):706-714, 1995.
BibTeX,
DOI
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[68]
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Z. Galias.
New method for stabilization of unstable periodic orbits in chaotic
systems.
Int. J. Bifurcation Chaos, 5(1):281-295, 1995.
BibTeX,
DOI,
.pdf
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[69]
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M.J. Ogorzałek and Z. Galias.
On-line identification and control of chaos in a real Chua's
circuit.
Kybernetika, Czech Academy of Sciences, 30(4):425-432, 1994.
BibTeX
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[70]
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M.J. Ogorzałek and Z. Galias.
Characterisation of chaos in Chua's oscillator in terms of unstable
periodic orbits.
J. Circuits, Systems and Computers, 3(2):411-429, March 1993.
BibTeX,
DOI
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[71]
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Z. Galias.
Designing cellular neural networks for the evaluation of local
Boolean functions.
IEEE Trans. Circuits Syst., CAS-40(3):219-223, March 1993.
BibTeX,
DOI
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[72]
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H. Harrer, Z. Galias, and J.A. Nossek.
On the convergence of discrete-time neural networks.
Int. J. of Circuit Theory and Applications, 21(2):278-281,
1993.
BibTeX,
DOI
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[73]
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Z. Galias and M.J. Ogorzałek.
On symbolic dynamics of a chaotic second-order digital filter.
Int. J. of Circuit Theory and Applications, 20:401-409, 1992.
BibTeX,
DOI
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[74]
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Z. Galias and M.J. Ogorzałek.
Bifurcation phenomena in second-order digital filter with
saturation-type adder overflow characteristic.
IEEE Trans. Circuits Syst., CAS-37(8):1068-1070, August 1990.
BibTeX,
DOI
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[86]
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Z. Galias.
Chaos in the Chua's circuit double-hook attractor.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
114-117, 2022.
BibTeX,
DOI
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[87]
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Z. Galias.
Study of periodic windows for the Chua's circuit with a cubic
nonlinearity.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages 1-5,
2020.
BibTeX,
DOI
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[88]
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Z. Galias.
Nonlinear dynamics of coupled inductor-capacitor-memristor
oscillators.
In Proc. IEEE Int. Conference on Electronics, Circuits and
Systems (ICECS), pages 554-557, Genoa, 2019.
BibTeX,
DOI
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|
[89]
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Z. Galias.
On multiobjective optimization of switch allocation in radial
distribution networks.
In Proc. IEEE Innovative Smart Grid Technologies - Asia (ISGT
Asia), pages 563-567, 2019.
BibTeX,
DOI
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|
[90]
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Z. Galias.
Tree structure based algorithm for multiobjective optimization of
switch allocation in radial distribution networks.
In Proc. IEEE PES GTD Grand International Conference and
Exposition Asia (GTD Asia), pages 837-841, 2019.
BibTeX,
DOI
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|
[91]
|
Z. Galias and W. Tucker.
On the existence of the double scroll attractor for the Chua's
circuit with a smooth nonlinearity.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages 1-5,
Florence, May 2018.
BibTeX,
DOI,
.pdf
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[92]
|
B. Garda and Z. Galias.
Modeling of memristors under sinusoidal excitations with various
frequencies.
In Proc. IEEE Int. Conference on Electronics, Circuits and
Systems (ICECS), pages 545-548, Bordeaux, 2018.
BibTeX,
DOI
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|
[93]
|
Z. Galias.
Computation of topological entropy of finite representations of maps.
In Proc. IEEE Int. Conference on Electronics, Circuits and
Systems (ICECS), pages 533-536, Bordeaux, 2018.
BibTeX,
DOI
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[94]
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Z. Galias.
Return map approach for simulations of electronic circuits with
memristors.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
147-150, Kraków, 2018.
BibTeX,
DOI
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[95]
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B. Garda and Z. Galias.
Modeling sinusoidally driven self-directed channel memristors.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
19-22, Kraków, 2018.
BibTeX,
DOI
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[96]
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S. Moskwa, S. Kozieł, M. Siłuszyk, and Z. Galias.
Multiobjective optimization for switch allocation in radial power
distribution grids.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
157-160, Kraków, 2018.
BibTeX,
DOI
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|
[97]
|
Z. Galias.
Optimum placement of sectionalizing switches in distribution networks
with alternative supplies.
In Proc. IEEE Innovative Smart Grid Technologies - Asia (ISGT
Asia), pages 563-568, 2018.
BibTeX,
DOI,
.pdf
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|
[98]
|
Z. Galias.
Numerical study of wide periodic windows for the quadratic map.
In FoCM 2017, Foundations of Computational Mathematics, Book of
abstracts, page 106, July 2017.
BibTeX,
http,
.pdf
|
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[99]
|
Z. Galias.
On optimum placement of sectionalizing switches in radial
distribution networks.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1030-1033, Baltimore, May 2017.
BibTeX,
DOI
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|
[100]
|
Z. Galias.
Coexistence of attractors in the parallel
inductor-capacitor-memristor circuit.
In Proc. IEEE Int. Conference on Electronics, Circuits and
Systems (ICECS), pages 66-69, Batumi, 2017.
BibTeX
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[101]
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B. Garda, K. Kasiński, M. Ogorzałek, and Z. Galias.
Investigations of switching phenomena in Pt/HfO2/Ti/Pt memristive
devices.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), pages 1-4,
Catania, 2017.
BibTeX
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[102]
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B. Garda, M. Ogorzałek, K. Kasiński, and Z. Galias.
Studies of dynamics of memristor-based memory cells.
In Proc. IEEE 8th Latin American Symposium on Circuits &
Systems (LASCAS), pages 1-4, 2017.
BibTeX,
DOI
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[103]
|
Z. Galias and S. Moskwa.
On the modeling of blackouts in power networks.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
890-893, Montreal, May 2016.
BibTeX
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[104]
|
Z. Galias.
On the existence of chaos in the Chua's circuit with a smooth
nonlinearity.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1106-1109, Montreal, May 2016.
BibTeX
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[105]
|
Z. Galias.
Topological chaos in the parallel inductor-capacitor-memristor
circuit.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
139-142, Kraków, 2016.
BibTeX
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[106]
|
S. Moskwa, S. Kozieł, and Z. Galias.
Minimization of power supply-interruption-related costs in power
distribution grids using evolutionary methods.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
153-156, Kraków, 2016.
BibTeX
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[107]
|
Z. Galias and B. Garda.
Detection of all low-period windows for the logistic map.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1698-1701, Lisbon, May 2015.
BibTeX
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[108]
|
Z. Galias and X. Yu.
On zero-order holder discretization of delayed sliding mode control
systems.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1255-1258, Melbourne, May 2014.
BibTeX,
.pdf
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[109]
|
Z. Galias and W. Tucker.
A systematic approach to find periodic sinks of the Hénon map
close to the classical case.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), pages 771-774,
Luzern, 2014.
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Z. Galias.
Study of dynamical phenomena in the Muthuswamy-Chua circuit.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
1-4, Poznań, 2014.
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B. Garda and Z. Galias.
Is the radial component negligible in the design of magnetic
resonance imaging devices?
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
1-4, Poznań, 2014.
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Z. Galias and W. Tucker.
Combination of exhaustive search and continuation method for the
study of sinks in the Hénon map.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
2571-2574, Beijing, May 2013.
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B. Garda and Z. Galias.
Coil shape design using the quasi-Newton algorithm.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), Dresden, 2013.
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[114]
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Z. Galias and X. Yu.
Discretization effects in single input delayed sliding mode control
systems.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), Dresden, 2013.
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[115]
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P. Zegarmistrz and Z. Galias.
Reconstruction of conductances in resistive grids as an optimization
problem.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), Dresden, 2013.
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Z. Galias.
Trapping region for the double scroll attractor.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
401-404, May 2012.
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B. Garda and Z. Galias.
Non-negative least squares and the Tikhonov regularization methods
for coil design problems.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), Wrocław,
2012.
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[118]
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P. Zegarmistrz and Z. Galias.
Optimization methods for reconstruction of conductances in
rectangular resistive grids.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), Wrocław,
2012.
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[119]
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Z. Galias.
On rigorous integration of piece-wise linear continuous systems.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1339-1342, Rio de Janeiro, May 2011.
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[120]
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Z. Galias and X. Yu.
Periodic behaviors in discretized second-order terminal sliding mode
control systems.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), pages
636-639, Linkoping, 2011.
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[121]
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Z. Galias.
Basins of attraction for periodic solutions of discretized sliding
mode control systems.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
693-696, Paris, May 2010.
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[122]
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B. Garda and Z. Galias.
Comparison of the linear algebra approach and the evolutionary
computing for magnetic field shaping in linear coils.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), pages 508-511,
Kraków, 2010.
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[123]
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Z. Galias and W. Tucker.
Symbolic dynamics based method for rigorous study of the existence of
short cycles for chaotic systems.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1907-1910, Taipei, May 2009.
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[124]
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Z. Galias.
Arytmetyka przedziałowa w analizie układów chaotycznych.
In Proc. Conference "Kierunki działalności i współpraca
naukowa Wydziału Elektrotechniki, Automatyki, Informatyki i Elektroniki",
pages 125-128, Kraków, 2009. AGH University of Science and Technology.
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Z. Galias.
Analysis of periodic solutions of discretized single input sliding
mode control systems.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), pages
571-574, Antalya, 2009.
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Z. Galias and X. Yu.
Study of zero-order holder discretization in single input sliding
mode control systems.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1320-1323, Seattle, May 2008.
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[127]
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Z. Galias and W. Tucker.
Rigorous study of short periodic orbits for the Lorenz system.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
764-767, Seattle, May 2008.
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[128]
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Z. Galias and W. Tucker.
Short periodic orbits for the Lorenz system.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
285-288, Kraków, 2008.
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[129]
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Z. Galias and X. Yu.
Equivalence of two discretization schemes in a simple sliding mode
control system.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1677-1680, New Orleans, May 2007.
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[130]
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P. Zegarmistrz and Z. Galias.
On reconstruction of conductances in resistor grids from boundary
measurements.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), pages
783-786, Sevilla, 2007.
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[131]
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Z. Galias and X. Yu.
Study of discretization of two-dimensional sliding mode control
systems.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), pages
727-730, Sevilla, 2007.
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[132]
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Z. Galias.
Finite switching frequency effects in the sliding mode control of the
double integrator system.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
2145-2148, Kos, Greece, May 2006.
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[133]
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Z. Galias.
Short periodic orbits and topological entropy for the Chua's
circuit.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
1667-1670, Kos, Greece, May 2006.
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[134]
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P. Zegarmistrz and Z. Galias.
Study of the algorithm for reconstruction of conductances in square
resistive grids.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
193-196, 2006.
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[135]
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P. Zegarmistrz and Z. Galias.
Comparison of methods for the computation of resistance for resistive
grids.
In Proc. Int. Conference on Fundamentals of Electrotechnics and
Circuit Theory (IC-SPETO), pages 243-246, Ustroń, 2006.
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[136]
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Z. Galias.
Rigorous study of Chua's circuit in terms of periodic orbits.
In I.C. Goknar and L. Sevgi, editors, Complex Computing
Networks, Brain-like and Wave-oriented Electrodynamic Algorithms, Springer
Proceedings in Physics, vol. 104, pages 289-296. Springer Verlag, 2006.
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[137]
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Z. Galias.
On rigorous study of Poincaré maps defined by piecewise linear
systems.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), pages
3407-3410, Kobe, Japan, May 2005.
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[138]
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Z. Galias.
Krawczyk method for proving the existence of periodic orbits of
infinite dimensional discrete dynamical systems.
In Proc. of the Int. Conf. on Differential Equations, EQUADIFF
2003, pages 657-662. World Scientific, 2005.
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[139]
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Z. Galias.
Towards full characterization of continuous systems in terms of
periodic orbits.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume IV,
pages 716-719, Vancouver, Canada, May 2004.
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[140]
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Z. Galias and M. Ogorzałek.
Storing binary patterns in two-dimensional networks of nonlinear
systems.
In Proc. Int. Workshop Nonlinear Dynamics Electronic Syst.
(NDES), pages 166-169, Évora, Portugal, 2004.
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[141]
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A. Andreescu, Z. Galias, and M.J. Ogorzałek.
Classification of synchronized states in CNNs with higher order
cells.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume III,
pages 586-589, Bangkok, Thailand, May 2003.
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[142]
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Z. Galias.
Mean value form for evaluation of Poincaré map in piecewise
linear systems.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), volume I,
pages 283-286, Kraków, 2003.
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[143]
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Z. Galias.
Periodic orbits for an electronic circuit with a smooth nonlinearity.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), volume I,
pages 205-208, Kraków, 2003.
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[144]
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Z. Galias and G.M. Maggio.
On the optimal labeling for pseudo-chaotic phase hopping.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume III,
pages 883-886, Phoenics, Arizona, May 2002.
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[145]
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Z. Galias.
Study of Poincaré map associated with the Chua'a circuit using
interval arithmetic.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), pages 779-782,
Xi'an, PRC, 2002.
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[146]
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Z. Galias.
Obtaining rigorous bounds for topological entropy for discrete time
dynamical systems.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), pages 619-622,
Xi'an, PRC, 2002.
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[147]
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Z. Galias and M.J. Ogorzałek.
Cluster formation in arrays of interconnected chaotic circuits.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
147-152, Świeradów Zdrój, 2002.
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[148]
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Z. Galias.
Rigorous investigations of piecewise linear circuits.
In Proc. Int. Conf. Signals Electronic Syst. (ICSES), pages
141-146, Świeradów Zdrój, 2002.
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[149]
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Z. Galias.
Metody przedziałowe dowodu istnienia orbit okresowych w układach
nieliniowych.
In Proc. Int. Conference “Współczesne kierunki rozwoju
elektrotechniki, automatyki, informatyki, elektroniki i telekomunikacji”,
pages 255-260, Kraków, 2002. AGH University of Science and Technology.
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[150]
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Z. Galias and M.J. Ogorzałek.
Influence of system non-uniformity on dynamic phenomena in arrays of
coupled nonlinear networks.
In Proc. IEEE Int. Workshop Cellular Neural Networks Appl.
(CNNA), pages 115-123, Frankfurt, Germany, 2002.
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[151]
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G.M. Maggio and Z. Galias.
Enhanced DCSK using symbolic dynamics.
In Proc. Global Telecommunication Conference (GLOBECOM'01),
IEEE, volume 2, pages 1157-1161, San Antonio, Texas, November 2001.
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[152]
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Z. Galias and G.M. Maggio.
Quadrature chaos shift keying.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume III,
pages 313-316, Sydney, May 2001.
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[153]
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A. D±browski, Z. Galias, and M.J. Ogorzałek.
Phase synchronization phenomena in generalized CNN composed of
chaotic cells.
In Proc. IEEE Int. Workshop Cellular Neural Networks Appl.
(CNNA), pages 253-258, Catania, May 2000.
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[154]
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Z. Galias.
Interval Newton method and backward shooting for finding long
periodic orbits in 1D chaotic maps.
In Proc. Int. Workshop Nonlinear Dynamics Electronic Syst.
(NDES), pages 100-104, Catania, 2000.
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[155]
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M. Ogorzałek A. D±browski, Z. Galias.
Phase synchronization in a one-dimensional array of coupled chaotic
circuits.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), volume 2, pages
649-652, Hawaii, 1999.
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[156]
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Z. Galias.
Comparison of interval methods for finding periodic orbits.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), volume 2, pages
439-442, Hawaii, 1999.
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Z. Galias.
On the existence of independent symbolic dynamics for weak coupling
of chaotic systems.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), volume 1, pages
29-32, Hawaii, 1999.
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M. Ogorzałek A. D±browski, Z. Galias.
Phase synchronization phenomena in arrays of coupled nonlinear
circuits.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), Stare Jabłonki, 1999.
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[159]
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Z. Galias.
All periodic orbits with period n<=26 for the Hénon map.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), volume 1,
pages 361-364, Stresa, 1999.
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[160]
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Z. Galias.
Rigorous investigations of periodic orbits in an electronic circuit
by means of interval methods.
In Proc. Int. Workshop Nonlinear Dynamics Electronic Syst.
(NDES), pages 41-44, Rønne, 1999.
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[161]
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Z. Galias.
Lack of synchronization and the existence of independent symbolic
dynamics.
In Proc. Int. Workshop Nonlinear Dynamics Electronic Syst.
(NDES), pages 269-272, Rønne, 1999.
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[162]
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Z. Galias.
Proving the existence of periodic solutions using global interval
Newton method.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume VI,
pages 294-297, Orlando, 1999.
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Z. Galias and M.J. Ogorzałek.
Coexistence of attractors in a one-dimensional CNN array.
In Proc. IEEE Int. Workshop Cellular Neural Networks Appl.
(CNNA), pages 118-123, London, April 1998.
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[164]
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Z. Galias.
Comparison of methods for proving the existence of periodic solutions
for continuous-time systems.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 75-80, Poznań-Kiekrz, 1998.
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[165]
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Z. Galias and M.J. Ogorzałek.
Influence of integration algorithms on results of simulation studies
of a ring of coupled chaotic circuits.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 81-86, Poznań-Kiekrz, 1998.
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[166]
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Z. Galias and M.J. Ogorzałek.
Pattern coding in a one-dimensional array of coupled chaotic
oscillators.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), volume 1, pages
35-38, Crans-Montana, 1998.
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Z. Galias and M.J. Ogorzałek.
CNN array with balanced chaotic cells - stability of the
synchronous motion.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), volume 2, pages
679-682, Crans-Montana, 1998.
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Z. Galias.
Existence and uniqueness of low-period cycles and estimation of
topological entropy for the Hénon map.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), volume 1, pages
187-190, Crans-Montana, 1998.
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Z. Galias.
Analysis of synchronization of chaotic systems based on local
conditional Lyapunov exponents.
In Proc. European Signal Processing Conf. (EUSIPCO), volume 3,
pages 1381-1384, Rhodes, 1998.
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M.J. Ogorzałek and Z. Galias.
Coexistence of attractors in one-dimensional arrays of coupled
chaotic circuits - effects of noise and possibilities of pattern formation
control.
In Proc. Int. Workshop on Synchronization, Pattern Formation and
Spatio-Temporal Chaos in Coupled Chaotic Oscillators, page 12, Santiago de
Compostela, 1998.
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Z. Galias.
Exploiting the concept of conditional transversal Lyapunov
exponents for study of synchronization of chaotic circuits.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume 4,
pages 568-571, Monterey, 1998.
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Z. Galias.
Investigations of periodic orbits in electronic circuits with
interval Newton's method.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume 3,
pages 370-373, Monterey, 1998.
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Z. Galias and M.J. Ogorzałek.
Stability of synchronized motions in a ring of coupled chaotic
circuits.
In Proc. Seminar Fundamentals Electrotechnics Circuit Theory
(SPETO), pages 291-294, Ustroń, 1998.
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Z. Galias.
Synchronization of hyperchaotic circuits by linear coupling and by
master-slave method.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 55-60, Kołobrzeg, 1997.
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[175]
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M. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Abundance of attractors in an array of locally coupled nonlinear
circuits.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 49-54, Kołobrzeg, 1997.
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[176]
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M. Ogorzałek, Z. Galias, and A. D±browski.
New implementation of electronic chaos controller.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 43-48, Kołobrzeg, 1997.
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Z. Galias.
Numerical studies of the Hénon map.
In Proc. Int. Symp. Scientific Computing Computed Arithmetic
Validated Numerics (SCAN), pages XIV:5-6, Lyon, 1997.
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M.J. Ogorzałek, Z. Galias, and A. D±browski W. D±browski.
Pattern switching in an array of coupled chaotic circuits.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), pages 97-100,
Hawaii, 1997.
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[179]
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M.J. Ogorzałek, Z. Galias, and A. D±browski W. D±browski.
Investigations of pattern formation control in arrays of coupled
Chua's circuits.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), volume 1,
pages 359-364, Budapest, 1997.
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Z. Galias.
Study of synchronization of linearly coupled hyperchaotic systems.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), volume 1,
pages 296-301, Budapest, 1997.
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Z. Galias.
On synchronization of hyperchaotic systems.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume 2,
pages 1041-1044, Hong Kong, 1997.
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Z. Galias.
OPF control of chaotic systems - analytical and simulation
results.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 27-32, Krynica, 1996.
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Z. Galias and P. Zgliczyński.
Computer assisted proof of chaos for Lorenz system. Part II.
Numerical algorithms.
In Proc. Int. Conf. Interval Methods Computer Aided Proofs
Science Eng. (INTERVAL), pages 40-42, Würzburg, 1996.
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P. Zgliczyński and Z. Galias.
Computer assisted proof of chaos for Lorenz system. Part I.
TS-maps.
In Proc. Int. Conf. Interval Methods Computer Aided Proofs
Science Eng. (INTERVAL), page 116, Würzburg, 1996.
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[185]
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M.J. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
CNN with chaotic elements for modelling biological functions.
In Proc. IEEE Int. Workshop Cellular Neural Networks Appl.
(CNNA), pages 285-290, Sevilla, 1996.
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[186]
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M.J. Ogorzałek, Z. Galias, and A. Cichocki.
Study of noise influence on self-organization phenomena in chaotic
neural networks.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume 3,
pages 87-91, Atlanta, 1996.
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[187]
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Z. Galias, C.A. Murphy, M.P. Kennedy, and M.J. Ogorzałek.
A feedback chaos controller: theory and implementation.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume 3,
pages 120-124, Atlanta, 1996.
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M.J. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Studies of wave phenomena in a network of coupled chaotic oscillators
with spatial anisotropy.
In Proc. Seminar Fundamentals Electrotechnics Circuit Theory
(SPETO), Gliwice, 1996.
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M.J. Ogorzałek and Z. Galias.
Geometric invariants of chaotic attractors encountered in Chua's
circuit.
In V. Lakshmikantham, editor, Proc. 1st World Congress of
Nonlinear Analysts, pages 2991-3002, Berlin, New York, 1996. Walter de
Gruyter.
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M.J. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Patterns of activity and self-organisation phenomena in arrays of
coupled chaotic circuits.
In Proc. Int. Symp. Nonl. Theory Appl. (NOLTA), volume 1, pages
459-464, Las Vegas, 1995.
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M.J. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Self organisation in arrays of chaotic circuits.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 35-40, Polana-Zgorzelisko, 1995.
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Z. Galias.
Proof of chaos in an electronic circuit.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 29-34, Polana-Zgorzelisko, 1995.
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Z. Galias and M.J. Ogorzałek.
Infinitely many periodic orbits in Chua's circuit: A computer
assisted proof.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), volume 1,
pages 107-110, Istambul, 1995.
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Z. Galias and M.J. Ogorzałek.
Bang-bang control of chaotic systems.
In Proc. Int. Workshop Nonlinear Dynamics Electronic Syst.
(NDES), pages 229-232, Dublin, 1995.
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[195]
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Z. Galias, M.J. Ogorzałek, and L. Kocarev.
Modern mathematical tools for analysing nonlinear effects in digital
filters.
In Proc. IEEE Workshop on Nonlinear Signal and Image
Processing, pages 137-140, Neos Marmaras, 1995.
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[196]
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A. D±browski, W. D±browski, Z. Galias, and M.J. Ogorzałek.
A study of wave phenomena in an array of interconnected chaotic
circuits.
In Proc. Seminar Fundamentals Electrotechnics Circuit Theory
(SPETO), volume 2, pages 15-20, Gliwice - Ustroń, 1995.
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[197]
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Z. Galias and J.A. Nossek.
Control of a real chaotic cellular neural network.
In Proc. IEEE Int. Workshop Cellular Neural Networks Appl.
(CNNA), page 345, Rome, 1994.
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Z. Galias.
Stabilization of periodic orbits based on distance minimization.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 19-24, Polanica Zdrój, 1994.
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Z. Galias, J.A. Nossek, and M.J. Ogorzałek.
Negative results on control of chaotic circuits.
In Proc. Int. Workshop Nonlinear Dynamics Electronic Syst.
(NDES), pages 174-178, Kraków, 1994.
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M.J. Ogorzałek, Z. Galias, and L.O. Chua.
Laboratory environment for controlling chaotic electronic systems.
In H. Dedieu, editor, Proc. Eur. Conf. Circuit Theory Des.
(ECCTD), volume 1, pages 867-872, Davos, 1993. Elsevier Science Publishers
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M.J. Ogorzałek, Z. Galias, and L.O. Chua.
Exploring chaos in Chua's circuit via unstable periodic orbits.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume 4,
pages 2608-2611, Chicago, USA, 1993.
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Z. Galias.
Implementations of Boolean functions in continuous-time
cellular neural networks.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 605-610, Kołobrzeg, Poland, 1993.
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[203]
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A. D±browski, Z. Galias, and M.J. Ogorzałek.
Investigations of stabilisation procedures for a chaotic electronic
circuit.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 19-24, Kołobrzeg, Poland, 1993.
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[204]
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M.J. Ogorzałek, A. D±browski, and Z. Galias.
Strategies for controlling chaos in Chua's circuit.
In Proc. Int. Symp. Mathematical Theory Networks Syst. (MTNS),
page 252, Regensburg, Germany, 1993.
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[205]
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L.O. Chua, Z. Galias, L. Kocarev, C.W. Wu, and M.J. Ogorzałek.
Chaos in digital filters: a global picture.
In Proc. Int. Symp. Mathematical Theory Networks Syst. (MTNS),
page 83, Regensburg, Germany, 1993.
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[206]
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Z. Galias.
Designing discrete-time cellular neural networks for the evaluation
of local Boolean functions.
In Proc. IEEE Int. Workshop Cellular Neural Networks Appl.
(CNNA), pages 23-28, Munich, Germany, October 1992.
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[207]
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M.J. Ogorzałek and Z. Galias.
Unstable periodic orbits in analysis of chaotic circuits.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 1-6, Szczyrk, Poland, 1992.
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[208]
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A. D±browski, Z. Galias, and M.J. Ogorzałek.
A study of identification and control in a real implementation of
Chua's circuit.
In Proc. 2nd IFAC Workshop on System Structure and Control,
pages 278-281, Prague, 1992.
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[209]
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M.J. Ogorzałek and Z. Galias.
An abundance of oscillatory solutions in a class of second order
discrete-time systems.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 1, pages 41-46, Waplewo, Poland, 1991.
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[210]
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M.J. Ogorzałek and Z. Galias.
Arnold tongues and devil's staircase in a digital filter employing
saturation arithmetic.
In Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), volume 1,
pages 384-387, Singapore, 1991.
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[211]
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Z. Galias, S. Mitkowski, and M.J. Ogorzałek.
Krakfil - a software toolkit for unconventional digital filter
analysis.
In Proc. Eur. Conf. Circuit Theory Des. (ECCTD), volume 1,
pages 169-176, Kopenhagen, Denmark, 1991.
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[212]
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M.J. Ogorzałek and Z. Galias.
Limit sets of trajectories in a nonlinear digital system.
In Proc. Int. Symp. Mathematical Theory Networks Syst. (MTNS),
Kobe, Japan, 1991.
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[213]
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M.J. Ogorzałek and Z. Galias.
Dwuparametrowa analiza bifurkacyjna filtru drugiego rzędu z
arytymetyk± nasyceniow±.
In Proc. National Conf. Circuit Theory Electronic Circuits
(KKTOiUE), volume 2, pages 417-422, Bielsko-Biała, Poland, 1990.
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