Zbigniew Galias - List of publications |
type, year, subject, |
| [1] | 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. Symposium on Circuits and Systems, ISCAS'09, pages 1907-1910, Taipei, May 2009. BibTeX, http |
| [2] | L. Kocarev, Z. Galias, and S. Lian, editors. Intelligent computing based on chaos, volume 184 of Studies in Computational Intelligence. Springer-Verlag, Berlin Heidelberg, 2009. BibTeX, http |
| [3] | Z. Galias. Computational methods for rigorous analysis of chaotic systems. In L. Kocarev, Z. Galias, and S. Lian, editors, Intelligent computing based on chaos, volume 184 of Studies in Computational Intelligence, pages 25-51. Springer-Verlag, Berlin Heidelberg, 2009. BibTeX, http |
| [4] | Z. Galias. Analysis of periodic solutions of discretized single input sliding mode control systems. In Proc. European Conference on Circuit Theory and Design, ECCTD'09, pages 571-574, Antalya, 2009. BibTeX, http |
| [5] | 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. BibTeX |
[6]
Z. Galias and W. Tucker.
Rigorous study of short periodic orbits for the Lorenz system.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'08,
pages 764-767, Seattle, May 2008.
BibTeX,
http
[7]
Z. Galias and X. Yu.
Study of zero-order holder discretization in single input sliding
mode control systems.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'08,
pages 1320-1323, Seattle, May 2008.
BibTeX,
http
[8]
Z. Galias and X. Yu.
On Euler's discretization of sliding mode control systems with
relative degree restriction.
In Modern Sliding Mode Control Theory, volume 375/2008 of
Lecture Notes in Control and Information Sciences, pages 119-133. Springer
Berlin / Heidelberg, 2008.
BibTeX,
http
[9]
X. Yu, B. Wang, Z. Galias, and G. Chen.
Discretization effect on equivalent control-based multi-input
sliding-mode control systems.
IEEE Trans. Automatic Control, 53(6):1563-1569, 2008.
BibTeX,
http
[10]
Z. Galias and X. Yu.
Analysis of zero-order holder discretization of two-dimensional
sliding-mode control systems.
IEEE Trans. Circ. Syst. II, 55(12):1269-1273, 2008.
BibTeX,
http
[11]
Z. Galias and W. Tucker.
Short periodic orbits for the Lorenz system.
In Proc. Int. Conference on Signals and Electronic Systems,
ICSES'08, pages 285-288, Krakow, 2008.
BibTeX,
http
[12]
Z. Galias and P. Zgliczyński.
Infinite dimensional Krawczyk operator for finding periodic orbits
of discrete dynamical systems.
Int. J. Bifurcation and Chaos, 17(12):4261-4272, December
2007.
BibTeX
[13]
Z. Galias and X. Yu.
Equivalence of two discretization schemes in a simple sliding mode
control system.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'07,
pages 1677-1680, New Orleans, May 2007.
BibTeX,
http
[14]
Z. Galias and X. Yu.
Euler's discretization of single input sliding mode control systems.
IEEE Trans. Automatic Control, 52(9):1726-1730, 2007.
BibTeX,
http
[15]
Z. Galias and X. Yu.
Study of discretization of two-dimensional sliding mode control
systems.
In Proc. European Conference on Circuit Theory and Design,
ECCTD'07, pages 727-730, Sevilla, 2007.
BibTeX,
http
[16]
P. Zegarmistrz and Z. Galias.
On reconstruction of conductances in resistor grids from boundary
measurements.
In Proc. European Conference on Circuit Theory and Design,
ECCTD'07, pages 783-786, Sevilla, 2007.
BibTeX,
http
[17]
Z. Galias and X. Yu.
Complex discretization behaviors of a simple sliding-mode control
system.
IEEE Trans. Circ. Syst. II, 53(8):652-656, August 2006.
BibTeX,
http
[18]
Z. Galias.
Short periodic orbits and topological entropy for the Chua's
circuit.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'06,
pages 1667-1670, Kos, Greece, May 2006.
BibTeX,
http
[19]
Z. Galias.
Finite switching frequency effects in the sliding mode control of the
double integrator system.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'06,
pages 2145-2148, Kos, Greece, May 2006.
BibTeX,
http
[20]
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
[21]
Z. Galias.
Counting low-period cycles for flows.
Int. J. Bifurcation and Chaos, 16(10):2873-2886, 2006.
BibTeX
[22]
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.
BibTeX
[23]
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'06, pages 243-246, Ustroń, 2006.
BibTeX
[24]
P. Zegarmistrz and Z. Galias.
Study of the algorithm for reconstruction of conductances in square
resistive grids.
In Proc. Int. Conference on Signals and Electronic Systems,
ICSES'06, pages 193-196, 2006.
BibTeX
[25]
Z. Galias.
On rigorous study of Poincaré maps defined by piecewise linear
systems.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'05,
pages 3407-3410, Kobe, Japan, May 2005.
BibTeX,
.pdf
[26]
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.
BibTeX,
.pdf
[27]
Z. Galias.
Towards full characterization of continuous systems in terms of
periodic orbits.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'04,
volume IV, pages 716-719, Vancouver, Canada, May 2004.
BibTeX,
.ps,
.pdf
[28]
Z. Galias and M. Ogorzałek.
Storing binary patterns in two-dimensional networks of nonlinear
systems.
In Proc. Int. Workshop, Nonlinear Dynamics of Electronics
Systems, NDES'04, pages 166-169, Évora, Portugal, 2004.
BibTeX,
.ps,
.pdf
[29]
A. Andreescu, Z. Galias, and M.J. Ogorzałek.
Classification of synchronized states in CNNs with higher order
cells.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'03,
volume III, pages 586-589, Bangkok, Thailand, May 2003.
BibTeX,
.ps,
.pdf
[30]
Z. Galias.
Metody arytmetyki przedziałowej w badaniach układów
nieliniowych.
Uczelniane Wydawnictwa Naukowo-Dydaktyczne Akademii
Górniczo-Hutniczej im. Stanisława Staszica w Krakowie, 2003.
BibTeX,
.ps.gz,
.pdf
[31]
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
[32]
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
[33]
Z. Galias.
Periodic orbits for an electronic circuit with a smooth nonlinearity.
In Proc. European Conference on Circuit Theory and Design,
ECCTD'03, volume I, pages 205-208, Kraków, 2003.
BibTeX
[34]
Z. Galias.
Mean value form for evaluation of Poincaré map in piecewise
linear systems.
In Proc. European Conference on Circuit Theory and Design,
ECCTD'03, volume I, pages 283-286, Kraków, 2003.
BibTeX
[35]
Z. Galias and G.M. Maggio.
On the optimal labeling for pseudo-chaotic phase hopping.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'02,
volume III, pages 883-886, Phoenics, Arizona, May 2002.
BibTeX,
.ps,
.pdf
[36]
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,
.ps.gz,
.pdf
[37]
Z. Galias.
Rigorous investigations of Ikeda map by means of interval
arithmetic.
Nonlinearity, 15:1759-1779, 2002.
BibTeX,
.ps.gz,
.pdf
[38]
G.M. Maggio and Z. Galias.
Applications of symbolic dynamics to differential chaos shift keying.
IEEE Trans. Circ. Syst. I, 49(12):1729-1735, 2002.
BibTeX,
.ps.gz,
.pdf
[39]
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 on Cellular Neural Networks and
their Applications, CNNA'02, pages 115-123, Frankfurt, Germany, 2002.
BibTeX,
.ps.gz,
.pdf
[40]
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. University of Mining and Metallurgy.
BibTeX,
.ps,
.pdf
[41]
Z. Galias.
Rigorous investigations of piecewise linear circuits.
In Proc. Int. Conference on Signals and Electronic Systems,
ICSES'02, pages 141-146, Świeradów Zdrój, 2002.
BibTeX,
.ps.gz,
.pdf
[42]
Z. Galias and M.J. Ogorzałek.
Cluster formation in arrays of interconnected chaotic circuits.
In Proc. Int. Conference on Signals and Electronic Systems,
ICSES'02, pages 147-152, Świeradów Zdrój, 2002.
BibTeX,
.ps.gz,
.pdf
[43]
Z. Galias.
Obtaining rigorous bounds for topological entropy for discrete time
dynamical systems.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'02, pages 619-622, Xi'an, PRC, 2002.
BibTeX,
.ps.gz,
.pdf
[44]
Z. Galias.
Study of Poincaré map associated with the Chua'a circuit using
interval arithmetic.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'02, pages 779-782, Xi'an, PRC, 2002.
BibTeX,
.ps.gz,
.pdf
[45]
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.
BibTeX,
.ps
[46]
Z. Galias and G.M. Maggio.
Quadrature chaos shift keying.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'01,
volume III, pages 313-316, Sydney, May 2001.
BibTeX,
.ps
[47]
Z. Galias.
Interval methods for rigorous investigations of periodic orbits.
Int. J. Bifurcation and Chaos, 11(9):2427-2450, 2001.
BibTeX,
.ps.gz
[48]
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,
.ps
[49]
X. Yu and Z. Galias.
Periodic behaviors in a digital filter with two's complement
arithmetic.
IEEE Trans. Circ. Syst. I, 48(10):1177-1190, 2001.
BibTeX,
.ps.gz
[50]
Z. Galias and G.M. Maggio.
Quadrature chaos shift keying: Theory and performance analysis.
IEEE Trans. Circ. Syst. I, 48(12):1510-1519, 2001.
BibTeX,
.ps
[51]
A. D±browski, Z. Galias, and M.J. Ogorzałek.
Phase synchronization phenomena in generalized CNN composed of
chaotic cells.
In Proc. IEEE Int. Workshop on Cellular Neural Networks and
their Applications, CNNA'00, pages 253-258, Catania, May 2000.
BibTeX
[52]
Z. Galias.
Robustness of symbolic dynamics and synchronization properties.
Int. J. Bifurcation and Chaos, 10(4):811-818, 2000.
BibTeX,
.ps.gz
[53]
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 and Chaos, 10(10):2391-2398, 2000.
BibTeX
[54]
Z. Galias.
Interval Newton method and backward shooting for finding long
periodic orbits in 1D chaotic maps.
In Proc. Int. Workshop, Nonlinear Dynamics of Electronics
Systems, NDES'00, pages 100-104, Catania, 2000.
BibTeX,
.ps
[55]
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,
.pdf
[56]
Z. Galias and M.J. Ogorzałek.
Study of synchronized motions in a one-dimensional array of coupled
chaotic circuits.
Int. J. Bifurcation and Chaos, 9(11):2219-2224, 1999.
BibTeX,
.ps
[57]
Z. Galias.
Proving the existence of periodic solutions using global interval
Newton method.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'99,
volume VI, pages 294-297, Orlando, 1999.
BibTeX,
.ps
[58]
Z. Galias.
Lack of synchronization and the existence of independent symbolic
dynamics.
In Proc. Int. Workshop, Nonlinear Dynamics of Electronics
Systems, NDES'99, pages 269-272, Rønne, 1999.
BibTeX,
.ps.gz
[59]
Z. Galias.
Rigorous investigations of periodic orbits in an electronic circuit
by means of interval methods.
In Proc. Int. Workshop, Nonlinear Dynamics of Electronics
Systems, NDES'99, pages 41-44, Rønne, 1999.
BibTeX,
.ps.gz
[60]
Z. Galias.
All periodic orbits with period n<=26 for the Hénon map.
In Proc. European Conference on Circuit Theory and Design,
ECCTD'99, volume 1, pages 361-364, Stresa, 1999.
BibTeX,
.ps.gz
[61]
M. Ogorzałek A. D±browski, Z. Galias.
Phase synchronization phenomena in arrays of coupled nonlinear
circuits.
In Proc. XXII National Conference, Circuit Theory and Electronic
Circuits, Stare Jabłonki, 1999.
BibTeX
[62]
Z. Galias.
On the existence of independent symbolic dynamics for weak coupling
of chaotic systems.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'99, volume 1, pages 29-32, Hawaii, 1999.
BibTeX,
.ps
[63]
Z. Galias.
Comparison of interval methods for finding periodic orbits.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'99, volume 2, pages 439-442, Hawaii, 1999.
BibTeX,
.ps.gz
[64]
M. Ogorzałek A. D±browski, Z. Galias.
Phase synchronization in a one-dimensional array of coupled chaotic
circuits.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'99, volume 2, pages 649-652, Hawaii, 1999.
BibTeX
[65]
Z. Galias and M.J. Ogorzałek.
Coexistence of attractors in a one-dimensional CNN array.
In Proc. IEEE Int. Workshop on Cellular Neural Networks and
their Applications, CNNA'98, pages 118-123, London, April 1998.
BibTeX,
.ps
[66]
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,
http,
.ps
[67]
Z. Galias and P. Zgliczyński.
Computer assisted proof of chaos in the Lorenz equations.
Physica D, 115:165-188, 1998.
BibTeX,
.ps
[68]
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
[69]
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
[70]
Z. Galias and M.J. Ogorzałek.
Stability of synchronized motions in a ring of coupled chaotic
circuits.
In Proc. XXI Seminar on Fundamentals of Electrotechnics and
Circuit Theory, SPETO'98, pages 291-294, Ustroń, 1998.
BibTeX,
.ps
[71]
Z. Galias.
Investigations of periodic orbits in electronic circuits with
interval Newton's method.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'98,
volume 3, pages 370-373, Monterey, 1998.
BibTeX,
.ps
[72]
Z. Galias.
Exploiting the concept of conditional transversal Lyapunov
exponents for study of synchronization of chaotic circuits.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'98,
volume 4, pages 568-571, Monterey, 1998.
BibTeX,
.ps
[73]
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.
BibTeX
[74]
Z. Galias.
Analysis of synchronization of chaotic systems based on local
conditional Lyapunov exponents.
In Proc. European Signal Processing Conference, EUSIPCO'98,
volume 3, pages 1381-1384, Rhodes, 1998.
BibTeX,
.ps
[75]
Z. Galias.
Existence and uniqueness of low-period cycles and estimation of
topological entropy for the Hénon map.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'98, volume 1, pages 187-190, Crans-Montana, 1998.
BibTeX,
.ps
[76]
Z. Galias and M.J. Ogorzałek.
CNN array with balanced chaotic cells - stability of the
synchronous motion.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'98, volume 2, pages 679-682, Crans-Montana, 1998.
BibTeX,
.ps
[77]
Z. Galias and M.J. Ogorzałek.
Pattern coding in a one-dimensional array of coupled chaotic
oscillators.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'98, volume 1, pages 35-38, Crans-Montana, 1998.
BibTeX,
.ps
[78]
Z. Galias and M.J. Ogorzałek.
Influence of integration algorithms on results of simulation studies
of a ring of coupled chaotic circuits.
In Proc. XXI National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 81-86, Poznań-Kiekrz, 1998.
BibTeX,
.ps
[79]
Z. Galias.
Comparison of methods for proving the existence of periodic solutions
for continuous-time systems.
In Proc. XXI National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 75-80, Poznań-Kiekrz, 1998.
BibTeX,
.ps
[80]
Z. Galias.
Positive topological entropy of Chua's circuit: A computer assisted
proof.
Int. J. Bifurcation and Chaos, 7(2):331-349, 1997.
BibTeX,
.ps
[81]
Z. Galias, C.A. Murphy, M.P. Kennedy, and M.J. Ogorzałek.
Electronic chaos controller.
Chaos, Solitons & Fractals, 8(9):1471-1484, 1997.
BibTeX
[82]
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.
In V. Pérez-Munuzuri, V. Pérez-Villar, L.O. Chua, and
M. Marcus, editors, Discretely Coupled Dynamical Systems, volume 9 of
Series on Nonlinear Science, Series B. World Scientific, 1997.
BibTeX
[83]
Z. Galias.
On synchronization of hyperchaotic systems.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'97,
volume 2, pages 1041-1044, Hong Kong, 1997.
BibTeX,
.ps
[84]
Z. Galias.
Study of synchronization of linearly coupled hyperchaotic systems.
In Proc. European Conference on Circuit Theory and Design,
ECCTD'97, volume 1, pages 296-301, Budapest, 1997.
BibTeX,
.ps
[85]
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. European Conference on Circuit Theory and Design,
ECCTD'97, volume 1, pages 359-364, Budapest, 1997.
BibTeX
[86]
M.J. Ogorzałek, Z. Galias, and A. D±browski W. D±browski.
Pattern switching in an array of coupled chaotic circuits.
In Proc. Int. Symposium on Nonlinear Theory and its
Applications, NOLTA'97, pages 97-100, Hawaii, 1997.
BibTeX
[87]
Z. Galias.
Numerical studies of the Hénon map.
In Proc. Int. Symposium on Scientific Computing, Computed
Arithmetic and Validated Numerics, SCAN'97, pages XIV:5-6, Lyon, 1997.
BibTeX,
.ps
[88]
M. Ogorzałek, Z. Galias, and A. D±browski.
New implementation of electronic chaos controller.
In Proc. XX National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 43-48, Kołobrzeg, 1997.
BibTeX
[89]
M. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Abundance of attractors in an array of locally coupled nonlinear
circuits.
In Proc. XX National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 49-54, Kołobrzeg, 1997.
BibTeX,
.ps
[90]
Z. Galias.
Synchronization of hyperchaotic circuits by linear coupling and by
master-slave method.
In Proc. XX National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 55-60, Kołobrzeg, 1997.
BibTeX,
.ps
[91]
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 ApplicationsSpecial Issue on
Cellular Neural Networks, 24:261-268, 1996.
BibTeX
[92]
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 and Chaos, 6(10):1859-1871, 1996.
BibTeX
[93]
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, Tampa, Florida, pages 2991-3002, Berlin, New York,
1996. Walter de Gruyter.
BibTeX
[94]
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. XIX Seminar on Fundamentals of Electrotechnics and
Circuit Theory, SPETO'96, Gliwice, 1996.
BibTeX
[95]
Z. Galias, C.A. Murphy, M.P. Kennedy, and M.J. Ogorzałek.
A feedback chaos controller: theory and implementation.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'96,
volume 3, pages 120-124, Atlanta, 1996.
BibTeX,
.ps
[96]
M.J. Ogorzałek, Z. Galias, and A. Cichocki.
Study of noise influence on self-organization phenomena in chaotic
neural networks.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'96,
volume 3, pages 87-91, Atlanta, 1996.
BibTeX
[97]
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 on Cellular Neural Networks and
their Applications, CNNA'96, pages 285-290, Sevilla, 1996.
BibTeX
[98]
P. Zgliczyński and Z. Galias.
Computer assisted proof of chaos for Lorenz system. Part I.
TS-maps.
In Proc. Int. Conference on Interval Methods and Computer Aided
Proofs in Science and Engineering, INTERVAL'96, page 116, Würzburg, 1996.
BibTeX
[99]
Z. Galias and P. Zgliczyński.
Computer assisted proof of chaos for Lorenz system. Part II.
Numerical algorithms.
In Proc. Int. Conference on Interval Methods and Computer Aided
Proofs in Science and Engineering, INTERVAL'96, pages 40-42, Würzburg,
1996.
BibTeX
[100]
Z. Galias.
OPF control of chaotic systems - analytical and simulation
results.
In Proc. XIX National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 27-32, Krynica, 1996.
BibTeX,
.ps
[101]
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,
.ps
[102]
Z. Galias.
New method for stabilization of unstable periodic orbits in chaotic
systems.
Int. J. Bifurcation and Chaos, 5(1):281-295, 1995.
BibTeX,
.ps
[103]
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. on Circuits and Systems, 42(10):706-714, 1995.
BibTeX
[104]
Z. Galias.
Analiza i przetwarzanie sygnałów chaotycznych.
PhD thesis, University of Mining and Metallurgy, 1995.
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[105]
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. XVIII Seminar on Fundamentals of Electrotechnics and
Circuit Theory, SPETO'95, volume 2, pages 15-20, Gliwice - Ustroń, 1995.
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[106]
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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[107]
Z. Galias and M.J. Ogorzałek.
Bang-bang control of chaotic systems.
In Proc. Int. Workshop, Nonlinear Dynamics of Electronics
Systems, NDES'95, pages 229-232, Dublin, 1995.
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[108]
Z. Galias and M.J. Ogorzałek.
Infinitely many periodic orbits in Chua's circuit: A computer
assisted proof.
In Proc. European Conference on Circuit Theory and Design,
ECCTD'95, volume 1, pages 107-110, Istambul, 1995.
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[109]
Z. Galias.
Proof of chaos in an electronic circuit.
In Proc. XVIII National Conference, Circuit Theory and
Electronic Circuits, volume 1, pages 29-34, Polana-Zgorzelisko, 1995.
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[110]
M.J. Ogorzałek, Z. Galias, A. D±browski, and W. D±browski.
Self organisation in arrays of chaotic circuits.
In Proc. XVIII National Conference, Circuit Theory and
Electronic Circuits, volume 1, pages 35-40, Polana-Zgorzelisko, 1995.
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[111]
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. Symposium on Nonlinear Theory and its
Applications, NOLTA'95, volume 1, pages 459-464, Las Vegas, 1995.
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[112]
L. Kocarev, C.W. Wu, L.O. Chua, Z. Galias, and M.J. Ogorzałek.
Chaos in digital filters: A global picture.
In J. Saurer U. Helmke, R. Mennicken, editor, Systems and
Networks: Mathematical Theory and Applications, vol. II, pages 287-290.
Academie Verlag, 1994.
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A. D±browski, Z. Galias, and M.J. Ogorzałek.
Strategies for controlling chaos in Chua's circuit.
In J. Saurer U. Helmke, R. Mennicken, editor, Systems and
Networks: Mathematical Theory and Applications, vol. II, pages 391-394.
Academie Verlag, 1994.
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[114]
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.
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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 of Electronics
Systems, NDES'94, pages 174-178, Kraków, 1994.
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Z. Galias.
Stabilization of periodic orbits based on distance minimization.
In Proc. XVII National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 19-24, Polanica Zdrój, 1994.
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[117]
Z. Galias and J.A. Nossek.
Control of a real chaotic cellular neural network.
In Proc. IEEE Int. Workshop on Cellular Neural Networks and
their Applications, CNNA'94, page 345, Rome, 1994.
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[118]
Z. Galias.
Designing cellular neural networks for the evaluation of local
Boolean functions.
IEEE Trans. Circuits and Systems, Special Issue on Cellular
Neural Networks, CAS-40(3):219-223, March 1993.
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[119]
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.
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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.
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[121]
M.J. Ogorzałek and Z. Galias.
Characterisation of chaos in Chua's oscillator in terms of unstable
periodic orbits.
In R.N. Madan, editor, Chua's Circuit: A Paradigm for Chaos,
Series on Nonlinear Science, pages 230-248. World Scientific, 1993.
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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. International Symposium on the Mathematical Theory of
Networks and Systems, MTNS'93, page 83, Regensburg, 1993.
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M.J. Ogorzałek, A. D±browski, and Z. Galias.
Strategies for controlling chaos in Chua's circuit.
In Proc. International Symposium on the Mathematical Theory of
Networks and Systems, MTNS'93, page 252, Regensburg, 1993.
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[124]
A. D±browski, Z. Galias, and M.J. Ogorzałek.
Investigations of stabilisation procedures for a chaotic electronic
circuit.
In Proc. XVI National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 19-24, Kołobrzeg, 1993.
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[125]
Z. Galias.
Implementations of Boolean functions in continuous-time
cellular neural networks.
In Proc. XVI National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 605-610, Kołobrzeg, 1993.
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[126]
M.J. Ogorzałek, Z. Galias, and L.O. Chua.
Exploring chaos in Chua's circuit via unstable periodic orbits.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'93,
volume 4, pages 2608-2611, Chicago, 1993.
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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. European Conference on Circuit
Theory and Design, ECCTD'93, volume 1, pages 867-872, Davos, 1993. Elsevier
Science Publishers B.V.
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Z. Galias.
Designing discrete-time cellular neural networks for the evaluation
of local Boolean functions.
In Proc. IEEE Int. Workshop on Cellular Neural Networks and
their Applications, CNNA'92, pages 23-28, Munich, October 1992.
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[129]
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.
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[130]
M.J. Ogorzałek and Z. Galias.
Limit sets of trajectories in a nonlinear digital system.
In H. Kimura and S. Kodama, editors, Recent Advances in
Mathematical Theory of Systems, Control, Networks and Signal Processing II,
pages 389-394. Mita Press, Tokyo, 1992.
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[131]
Z. Galias.
Nieliniowy układ semidynamiczny na płaszczyŹnie.
Master's thesis, Jagiellonian University, Kraków, 1992.
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[132]
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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[133]
M.J. Ogorzałek and Z. Galias.
Unstable periodic orbits in analysis of chaotic circuits.
In Proc. XV National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 1-6, Szczyrk, 1992.
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[134]
M.J. Ogorzałek and Z. Galias.
Limit sets of trajectories in a nonlinear digital system.
In Proc. International Symposium on the Mathematical Theory of
Networks and Systems, MTNS'91, Kobe, 1991.
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[135]
Z. Galias, S. Mitkowski, and M.J. Ogorzałek.
Krakfil - a software toolkit for unconventional digital filter
analysis.
In Proc. European Conference on Circuit Theory and Design,
ECCTD'91, volume 1, pages 169-176, Kopenhagen, 1991.
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[136]
M.J. Ogorzałek and Z. Galias.
Arnold tongues and devil's staircase in a digital filter employing
saturation arithmetic.
In Proc. IEEE Int. Symposium on Circuits and Systems, ISCAS'91,
volume 1, pages 384-387, Singapore, 1991.
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[137]
M.J. Ogorzałek and Z. Galias.
An abundance of oscillatory solutions in a class of second order
discrete-time systems.
In Proc. XIV National Conference, Circuit Theory and Electronic
Circuits, volume 1, pages 41-46, Waplewo, 1991.
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[138]
Z. Galias and M.J. Ogorzałek.
Bifurcation phenomena in second-order digital filter with
saturation-type adder overflow characteristic.
IEEE Trans. Circuits and Systems, CAS-37(8):1068-1070, August
1990.
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[139]
Z. Galias.
Badania efektów nieliniowych w wybranych realizacjach filtrów
cyfrowych.
Master's thesis, University of Mining and Metallurgy, Kraków, 1990.
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[140]
M.J. Ogorzałek and Z. Galias.
Dwuparametrowa analiza bifurkacyjna filtru drugiego rzędu z
arytymetyk± nasyceniow±.
In Proc. XIII National Conference, Circuit Theory and Electronic
Circuits, volume 2, pages 417-422, Bielsko-Biała, 1990.
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