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Chua, Leon Ong

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Author ID: chua.leon-o Recent zbMATH articles by "Chua, Leon Ong"
Published as: Chua, Leon O.; Chua, L. O.; Chua, Leon; Chua, Léon O.; Chua, Leon O
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Documents Indexed: 393 Publications since 1969, including 23 Books
Biographic References: 6 Publications
all top 5

Co-Authors

29 single-authored
32 Itoh, Makoto
21 Wu, Chaiwah
18 Matsumoto, Takashi
18 Roska, Tamás
17 Yang, Tao
16 Brown, Ray
15 Kim, Hyongsuk
13 Pérez-Muñuzuri, Vicente
13 Pérez-Villar, Vicente
11 Sbitnev, Valery I.
10 Kocarev, Ljupco
9 Suykens, Johan A. K.
8 Dogaru, Radu
8 Komuro, Motomasa
7 Anishchenko, Vadim Semenovich
7 Boyd, Stephen Poythress
7 Muñuzuri, Alberto P.
7 Vandewalle, Joos P.
6 Green, Douglas N.
6 Lum, Robert
6 Nishi, Tetsuo
6 Pazienza, Giovanni Egidio
6 Tokunaga, Ryuji
6 Ushida, Akio
6 Yoon, Sook
5 Crounse, Kenneth R.
5 Curran, Paul F.
5 Deng, An-Chang
5 Halle, K. Sean
5 Kapitaniak, Tomasz
5 Sah, Maheshwar Pd.
5 Shin, Jinwook
5 Szeto, Ellen W.
5 Wyatt, John L. jun.
5 Yang, Changju
4 Adamatzky, Andrew I.
4 Ascoli, Alon
4 Endo, Tetsuro
4 Gannett, Joel W.
4 Gomez-Gesteira, Moncho
4 Lozi, René
4 Min, Lequan
4 Pivka, Ladislav
4 Safonova, M. A.
4 Tetzlaff, Ronald
4 Zheleznyak, Alexander L.
3 Eckert, Kevin
3 Feely, Orla
3 Ginoux, Jean-Marc
3 Julián, Pedro
3 Kahlert, Claus
3 Lam, Ying-Fai
3 Mannan, Zubaer Ibna
3 Mees, Alistair I.
3 Odyniec, Michał
3 Parker, Thomas S.
3 Rajamani, Vetriveeran
3 Shi, Bertram Emil
3 Tang, Yaw-Shing
3 Wang, Niantsu N.
3 Zhong, Guo-Qun
2 Andreyev, Yuri V.
2 Budhathoki, Ram Kaji
2 Chen, Li-Kuan
2 Civalleri, Pier Paolo
2 Desoer, Charles A.
2 Dimovski, Dončo
2 Fortuna, Luigi
2 Frasca, Mattia
2 Gilli, Marco
2 Göknar, Izzet Cem
2 Guan, Junbiao
2 Hänggi, Martin
2 Hotta, A.
2 Huang, Anshan
2 Ichiraku, Shigeo
2 Ikegami, Gikō
2 Kennedy, Michael Peter
2 Kokubu, Hiroshi
2 Kuznetsov, Aleksandr Petrovich
2 Kuznetsov, Sergey P.
2 Lakshmanan, Muthusamy
2 Lin, Gui-Nian
2 Lin, Pen-Min
2 Mainzer, Klaus
2 Maistrenko, Yuri L.
2 Markus, Mario
2 Messaris, Ioannis
2 Murakami, Hiroyuki
2 Nekorkin, Vladimir I.
2 Nemes, László
2 Nossek, Josef A.
2 Oka, Hiroe
2 Parlitz, Ulrich
2 Rossetto, Bruno
2 Sah, Maheshwar Prasad
2 Sataev, Igor’ Rustamovich
2 Shang, Alain
2 Sharkovs’kyĭ, Oleksandr Mykolaĭovych
2 Shilnikov, Andrey L.
...and 124 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

319 Publications have been cited 6,436 times in 4,048 Documents Cited by Year
Cellular neural networks: Theory. Zbl 0663.94022
Chua, Leon O.; Yang, Lin
617
1988
The double scroll family. Zbl 0634.58015
Chua, Leon O.; Komuro, Motomasa; Matsumoto, Takashi
284
1986
Practical numerical algorithms for chaotic systems. Zbl 0692.58001
Parker, Thomas S.; Chua, Leon O.
225
1989
Synchronization in an array of linearly coupled dynamical systems. Zbl 0867.93042
Wu, Chai Wah; Chua, Leon O.
209
1995
The \(CNN\) paradigm. Zbl 0800.92041
Chua, Leon O.; Roska, Tamás
151
1993
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
150
2008
Methods of qualitative theory in nonlinear dynamics. Part I. Zbl 0941.34001
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
148
1998
Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U.
116
1992
Computer-aided analysis of electronic circuits. Algorithms and computational techniques. Zbl 0358.94002
Chua, Leon O.; Lin, Pen-Min
115
1975
Linear and nonlinear circuits. Zbl 0631.94017
Chua, Leon O.; Desoer, Charles A.; Kuh, Ernest S.
108
1987
The double scroll. Zbl 0578.94023
Matsumoto, Takashi; Chua, Leon O.; Komuro, Motomasa
108
1985
Fading memory and the problem of approximating nonlinear operators with Volterra series. Zbl 0587.93028
Boyd, Stephen; Chua, Leon O.
108
1985
A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445
Wu, Chai Wah; Chua, Leon O.
104
1994
A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004
Wu, Chai Wah; Chua, Leon O.
103
1993
Cellular neural networks with non-linear and delay-type template elements and non-uniform grids. Zbl 0775.92011
Roska, Tamás; Chua, Leon O.
99
1992
A universal circuit for studying and generating chaos. I: Routes to chaos. Zbl 0844.58052
Chua, Leon O.; Wu, Chai Wah; Huang, Anshan; Zhong, Guo-Qun
91
1993
Transmission of digital signals by chaotic synchronization. Zbl 0870.94011
Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A.
84
1992
Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
83
2001
Stability and dynamics of delay-type general and cellular neural networks. Zbl 0775.92010
Roska, Tamás; Wu, Chai Wah; Balsi, Marco; Chua, Leon O.
80
1992
Robust synthesis for master-slave synchronization of Lur’e systems. Zbl 1055.93549
Suykens, Johan A. K.; Curran, Paul F.; Chua, Leon O.
70
1999
The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems. Zbl 0438.93035
Mees, Alistair I.; Chua, Leon O.
69
1979
CNN: a paradigm for complexity. Zbl 0916.68132
Chua, Leon O.
68
1998
Canonical realization of Chua’s circuit family. Zbl 0706.94026
Chua, Leon O.; Lin, Gui-Nian
68
1990
Stability of cellular neural networks with dominant nonlinear and delay- type templates. Zbl 0800.92044
Roska, Tamás; Wu, Chai Wah; Chua, Leon O.
64
1993
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
64
2009
Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037
Kapitaniak, Tomasz; Chua, Leon O.
62
1994
On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182
Wu, Chai Wah; Yang, Tao; Chua, Leon O.
62
1996
Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374
Yang, Tao; Chua, Leon O.
60
1997
The role of synchronization in digital communications using chaos. II: Chaotic modulation and chaotic synchronization. Zbl 0991.93097
Kolumbán, Géza; Kennedy, Michael Peter; Chua, Leon O.
58
1998
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
58
2001
Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052
Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O.
55
1993
Absolute stability theory and the synchronization problem. Zbl 0910.34054
Curran, P. F.; Chua, L. O.
54
1997
Passivity and complexity. Zbl 0948.92002
Chua, Leon O.
54
1999
Cryptography based on chaotic systems. Zbl 0884.94021
Yang, Tao; Wu, Chai Wah; Chua, Leon O.
53
1997
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
51
1999
Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133
Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto
49
1992
Spread spectrum communication through modulation of chaos. Zbl 0870.94002
Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O.
47
1993
CNN: A vision of complexity. Zbl 0901.68138
Chua, Leon O.
46
1997
The CNN universal machine: An analogic array computer. Zbl 0800.68251
Roska, Tamás; Chua, Leon O.
45
1993
Autowaves for image processing on a two-dimensional \(CNN\) array of excitable nonlinear circuits: Flat and wrinkled labyrinths. Zbl 0800.92038
Pérez-Muñuzuri, V.; Pérez-Villar, V.; Chua, Leon O.
43
1993
Bifurcations of attracting cycles from time-delayed Chua’s circuit. Zbl 0885.58059
Maistrenko, Yu. L.; Maistrenko, V. L.; Vikul, S. I.; Chua, L. O.
43
1995
Edge of chaos and local activity domain of FitzHugh-Nagumo equation. Zbl 0933.37042
Dogaru, Radu; Chua, Leon O.
41
1998
On periodic orbits and homoclinic bifurcations in Chua’s circuit with a smooth nonlinearity. Zbl 0870.58078
Khibnik, Alexander I.; Roose, Dirk; Chua, Leon O.
39
1993
Impulsive synchronization of chaotic Lur’e systems by measurement feedback. Zbl 0936.93027
Suykens, J. A. K.; Yang, T.; Chua, L. O.
38
1998
Nonlinear \(H_\infty\) synchronization of chaotic Lur’e systems. Zbl 0967.93508
Suykens, J. A. K.; Vandewalle, J.; Chua, L. O.
35
1997
Absolute stability theory and master-slave synchronization. Zbl 0911.93044
Curran, P. F.; Suykens, J. A. K.; Chua, L. O.
34
1997
Clarifying chaos: Examples and counterexamples. Zbl 0874.58038
Brown, Ray; Chua, Leon O.
34
1996
A universal circuit for studying and generating chaos. II: Strange attractors. Zbl 0844.58053
Chua, Leon O.; Wu, Chai Wah; Huang, Anshan; Zhong, Guo-Qun
31
1993
A nonlinear dynamics perspective of Wolfram’s new kind of science. Part IV: From Bernoulli shift to \(1/f\) spectrum. Zbl 1084.37011
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
30
2005
Bifurcation and chaos in the simplest dissipative non-autonomous circuit. Zbl 0871.94055
Murali, K.; Lakshmanan, M.; Chua, L. O.
27
1994
Communication systems via chaotic signals from a reconstruction viewpoint. Zbl 0890.94007
Itoh, Makoto; Wu, Chai Wah; Chua, Leon O.
27
1997
Spiral waves on a 2-D away of nonlinear circuits. Zbl 0844.93056
Pérez-Muñuzuri, Alberto; Pérez-Muñuzuri, Vicente; Pérez-Villar, Vicente; Chua, Leon O.
27
1993
Impasse points. I: Numerical aspects. Zbl 0676.94022
Chua, Leon O.; Deng, An-Chang
27
1989
Local activity is the origin of complexity. Zbl 1097.37058
Chua, Leon O.
27
2005
A nonlinear dynamics perspective of Wolfram’s new kind of science. I: Threshold of complexity. Zbl 1043.37009
Chua, Leon O.; Yoon, Sook; Dogaru, Radu
26
2002
\(n\)-double scroll hypercubes in 1-D CNNs. Zbl 0907.58065
Suykens, J. A. K.; Chua, L. O.
24
1997
Master-slave synchronization using dynamic output feedback. Zbl 0925.93343
Suykens, J. A. K.; Curran, P. F.; Chua, L. O.
24
1997
Normal forms for nonlinear vector fields. I: Theory and algorithm. Zbl 0683.58021
Chua, Leon O.; Kokubu, Hiroshi
24
1988
Global properties of continuous piecewise linear vector fields. I: Simplest case in \({\mathbb{R}}^ 2\). Zbl 0732.34029
Lum, Robert; Chua, Leon O.
23
1991
A nonlinear dynamics perspective of Wolfram’s new kind of science. III: Predicting the unpredictable. Zbl 1091.37500
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
23
2004
Chaos via torus breakdown. Zbl 0637.94019
Matsumoto, Takashi; Chua, Leon O.; Tokunaga, Ryuji
22
1987
Channel-independent chaotic secure communication. Zbl 1298.94112
Yang, Tao; Chua, Leon O.
21
1996
Edge of chaos and local activity domain of the Brusselator CNN. Zbl 0933.92018
Dogaru, Radu; Chua, Leon O.
21
1998
Coexistence of low- and high-dimensional spatiotemporal chaos in a chain of dissipatively coupled Chua’s circuits. Zbl 0900.92015
Zheleznyak, A. L.; Chua, L. O.
21
1994
Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits. Zbl 0963.34029
Itoh, Makoto; Yang, Tao; Chua, Leon O.
20
1999
Device modeling via basic nonlinear circuit elements. Zbl 0466.94031
Chua, Leon O.
20
1980
Analytical foundations of Volterra series. Zbl 0668.93042
Boyd, Stephen; Chua, L. O.; Desoer, C. A.
20
1984
Experimental results of impulse synchronization bwtween two Chua’s circuits. Zbl 0941.34507
Panas, Andrey I.; Yang, Tao; Chua, Leon O.
19
1998
A nonlinear dynamics perspective of Wolfram’s new kind of science. II: Universal neuron. Zbl 1046.37004
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
19
2003
A nonlinear dynamics perspective of Wolfram’s new kind of science. VI: From time-reversible attractors to the arrow of time. Zbl 1140.37001
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
19
2006
A nonlinear dynamics perspective of Wolfram’s new kind of science. VII: Isles of Eden. Zbl 1146.37012
Chua, Leon O.; Guan, Junbiao; Sbitnev, Valery I.; Shin, Jinwook
19
2007
Impasse points. II: Analytical aspects. Zbl 0676.94023
Chua, Leon O.; Deng, An-Chang
19
1989
Memristor Hamiltonian circuits. Zbl 1248.34064
Itoh, Makoto; Chua, Leon O.
18
2011
Transitions in dynamical regimes by driving: A unified method of control and synchronization of chaos. Zbl 0873.34046
Kocarev, Ljupco; Shang, Alain; Chua, Leon O.
18
1993
Spatiotemporal structures is discretely-coupled arrays of nonlinear circuits: A review. Zbl 0885.58085
Muñuzuri, A. P.; Pérez-Muñuzuri, V.; Gómez-Gesteira, M.; Chua, L. O.; Pérez-Villar, V.
18
1995
Normal forms for nonlinear vector fields. II: Applications. Zbl 0702.58047
Chua, Leon O.; Kokubu, Hiroshi
18
1989
On the complete stability of nonsymmetric cellular neural networks. Zbl 0952.94023
Takahashi, Norikazu; Chua, Leon O.
17
1998
Nonlinear dynamics of a class of analog-to-digital converters. Zbl 0873.94034
Feely, Orla; Chua, Leon O.
17
1992
Stability analysis of generalized cellular neural networks. Zbl 0766.94024
Guzelis, Cuneyt; Chua, Leon O.
16
1993
A nonlinear dynamics perspective of Wolfram’s new kind of science. VIII: More Isles of Eden. Zbl 1151.37302
Chua, Leon O.; Karacs, Kristof; Sbitev, Valery I.; Guan, Junbiao; Shin, Jinwook
16
2007
Scenario of the birth of hidden attractors in the Chua circuit. Zbl 1379.34045
Stankevich, Nataliya V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Chua, Leon O.
16
2017
Cellular neural networks. Zbl 0692.34036
Chua, Leon O.; Lin, Yang
16
1988
Hodgkin-Huxley axon is made of memristors. Zbl 1270.94073
Chua, Leon; Sbitnev, Valery; Kim, Hyongsuk
15
2012
On the universe of stable cellular neural networks. Zbl 0775.92003
Chua, Leon O.; Wu, Chai Wah
15
1992
Chaotic digital code-division multiple access (CDMA) communication systems. Zbl 1126.94304
Yang, Tao; Chua, Leon O.
15
1997
Characterization and dynamics of pattern formation in cellular neural networks. Zbl 0881.92008
Crounse, K. R.; Chua, L. O.; Thiran, P.; Setti, G.
15
1996
Dynamic nonlinear networks: State-of-the-art. Zbl 0467.93031
Chua, Leon O.
15
1980
Edge of chaos and local activity domain of the Gierer-Meinhardt CNN. Zbl 0936.92007
Dogaru, Radu; Chua, Leon O.
14
1998
Universal CNN cells. Zbl 0986.92002
Dogaru, Radu; Chua, Leon O.
14
1999
The effect of integrator leak in \(\sigma\)-\(\Delta\) modulation. Zbl 0739.94005
Feely, Orla; Chua, Leon O.
14
1991
A CMOS IC nonlinear resistor for Chua’s circuit. Zbl 0775.94126
Cruz, José M.; Chua, Leon O.
14
1992
Controlling and synchronization of chaos in the simplest dissipative non-autonomous circuit. Zbl 0890.94046
Murali, K.; Lakshmanan, M.; Chua, L. O.
14
1995
A generalized canonical piecewise-linear representation. Zbl 0704.94026
Kahlert, Claus; Chua, Leon O
14
1990
Canonical piecewise-linear analysis. Zbl 0504.94033
Chua, Leon O.; Ying, Robin L. P.
14
1983
Reality of chaos in the double scroll circuit: A computer-assisted proof. Zbl 0661.58019
Matsumoto, Takashi; Chua, Leon O.; Ayaki, Kenichiro
14
1988
A nonlinear dynamics perspective of Wolfram’s new kind of science. V: Fractals everywhere. Zbl 1094.37500
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
14
2005
Stochastic resonance in Chua’s circuit. Zbl 0875.94132
Anishchenko, V. S.; Safonova, M. A.; Chua, L. O.
13
1992
Measuring Volterra kernels. Zbl 0518.93058
Boyd, Stephen; Tang, Y. S.; Chua, Leon O.
13
1983
Canonical piecewise-linear representation. Zbl 0644.94023
Chua, Leon O.; Deng, An-Chang
13
1988
Birth and death of the double scroll. Zbl 0631.58017
Matsumoto, T.; Chua, L. O.; Komuro, M.
13
1987
Scenario of the birth of hidden attractors in the Chua circuit. Zbl 1379.34045
Stankevich, Nataliya V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Chua, Leon O.
16
2017
Chua corsage memristor: phase portraits, basin of attraction, and coexisting pinched hysteresis loops. Zbl 1360.34110
Mannan, Zubaer Ibna; Choi, Hyuncheol; Rajamani, Vetriveeran; Kim, Hyongsuk; Chua, Leon
7
2017
Dynamics of Hamiltonian systems and memristor circuits. Zbl 1362.37105
Itoh, Makoto; Chua, Leon
3
2017
Chaotic oscillation via edge of chaos criteria. Zbl 1381.34061
Itoh, Makoto; Chua, Leon
2
2017
Third-order memristive Morris-Lecar model of barnacle muscle fiber. Zbl 1366.34068
Rajamani, Vetriveeran; Sah, Maheshwar Pd.; Mannan, Zubaer Ibna; Kim, Hyongsuk; Chua, Leon
2
2017
Hidden bifurcations in the multispiral Chua attractor. Zbl 1357.34073
Menacer, Tidjani; Lozi, René; Chua, Leon O.
5
2016
Parasitic effects on memristor dynamics. Zbl 1343.34113
Itoh, Makoto; Chua, Leon O.
4
2016
Memristive model of the Barnacle giant muscle fibers. Zbl 1334.34106
Sah, Maheshwar Pd.; Kim, Hyongsuk; Eroglu, Abdullah; Chua, Leon
3
2016
Design of a low-frequency oscillator with PTC Memristor and an inductor. Zbl 1345.34088
Rajamani, Vetriveeran; Yang, Changju; Kim, Hyongsuk; Chua, Leon
1
2016
Oscillator made of only one memristor and one battery. Zbl 1314.94117
Sah, Maheshwar Prasad; Mannan, Zubaer Ibna; Kim, Hyongsuk; Chua, Leon
7
2015
Neuron model with simplified memristive ionic channels. Zbl 1317.34104
Hegab, Almoatazbellah M.; Salem, Noha M.; Radwan, Ahmed G.; Chua, Leon
3
2015
Memfractance: a mathematical paradigm for circuit elements with memory. Zbl 1301.94173
Abdelouahab, Mohammed-Salah; Lozi, René; Chua, Leon
11
2014
Dynamics of memristor circuits. Zbl 1296.34124
Itoh, Makoto; Chua, Leon O.
10
2014
Memristor networks. Zbl 1282.68053
Adamatzky, Andrew; Chua, Leon
6
2014
Resistance switching memories are memristors. Zbl 1283.94155
Chua, Leon
4
2014
Memristor, Hodgkin-Huxley, and edge of chaos. Zbl 1283.94156
Chua, Leon
3
2014
Transient behaviors of multiple memristor circuits based on flux charge relationship. Zbl 1287.34037
Budhathoki, Ram Kaji; Sah, Maheshwar Prasad; Yang, Changju; Kim, Hyongsuk; Chua, Leon
2
2014
Cellular memristive dynamical systems (CMDS). Zbl 1296.37055
Bavandpour, Mohammad; Soleimani, Hamid; Bagheri-Shouraki, Saeed; Ahmadi, Arash; Abbott, Derek; Chua, Leon O.
1
2014
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1283.68229
Itoh, Makoto; Chua, Leon
1
2014
Duality of memristor circuits. Zbl 1270.34126
Itoh, Makoto; Chua, Leon O.
8
2013
Canards from Chua’s circuit. Zbl 1270.34124
Ginoux, Jean-Marc; Llibre, Jaume; Chua, Leon O.
4
2013
Local activity principle. Zbl 1294.37001
Mainzer, Klaus; Chua, Leon
4
2013
A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 6. Zbl 1278.37001
Chua, Leon O.
2
2013
Hodgkin-Huxley axon is made of memristors. Zbl 1270.94073
Chua, Leon; Sbitnev, Valery; Kim, Hyongsuk
15
2012
The universe as automaton. From simplicity and symmetry to complexity. Zbl 1237.37002
Mainzer, Klaus; Chua, Leon O.
3
2012
On soliton collisions between localizations in complex elementary cellular automata: rules 54 and 110 and beyond. Zbl 1262.37009
Martínez, Genaro J.; Adamatzky, Andrew; Chen, Fangyue; Chua, Leon
3
2012
Phenomenology of retained refractoriness: on semi-memristive discrete media. Zbl 1258.68096
Adamatzky, Andrew; Chua, Leon O.
1
2012
Memristor Hamiltonian circuits. Zbl 1248.34064
Itoh, Makoto; Chua, Leon O.
18
2011
Memristive excitable cellular automata. Zbl 1258.68095
Adamatzky, Andrew; Chua, Leon
2
2011
A nonlinear dynamic perspective of Wolfram’s new kind of science. XIII: Bernoulli \(\sigma_{\tau}\)-shift rules. Zbl 1196.37023
Chua, Leon O.; Pazienza, Giovanni E.
7
2010
A nonlinear dynamics perspective of Wolfram’s new kind of science. XIV: More Bernoulli \(\sigma _{\tau }\)-shift rules. Zbl 1202.37015
Chua, Leon O.; Pazienza, Giovanni E.
3
2010
Topological analysis of chaotic solution of a three-element memristive circuit. Zbl 1208.34068
Ginoux, Jean-Marc; Letellier, Christophe; Chua, Leon O.
3
2010
Autoassociative memory cellular neural networks. Zbl 1204.68165
Itoh, Makoto; Chua, Leon O.
1
2010
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
64
2009
A nonlinear dynamics perspective of Wolfram’s new kind Of science. X: Period-1 rules. Zbl 1168.37300
Chua, Leon O.; Pazienza, Giovanni E.; Shin, Jinwook
5
2009
A nonlinear dynamics perspective of Wolfram’s new kind of science. XI: Period-2 rules. Zbl 1170.37302
Chua, Leon O.; Pazienza, Giovanni E.; Shin, Jinwook
5
2009
A nonlinear dynamics perpective of Wolfram’s new kind of science. XII: Period-3, period-6 and permutive rules. Zbl 1183.37021
Chua, Leon O.; Pazienza, Giovanni E.
4
2009
A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 3. Zbl 1185.37017
Chua, Leon O.
2
2009
Difference equations for cellular automata. Zbl 1167.68391
Itoh, Makoto; Chua, Leon O.
2
2009
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
150
2008
The four-element Chua’s circuit. Zbl 1147.34328
Barboza, Ruy; Chua, Leon O.
12
2008
Slow invariant manifolds as curvature of the flow of dynamical systems. Zbl 1165.37314
Ginoux, Jean-Marc; Rossetto, Bruno; Chua, Leon O.
12
2008
A nonlinear dynamics perspective of Wolfram’s new kind of science. IX: Quasi-ergodicity. Zbl 1157.37300
Chua, Leon O.; Pazienza, Giovanni Egidio; Orzo, Laszlo; Sbitnev, Valery I.; Shin, Jinwook
10
2008
Awakening dynamics via passive coupling and synchronization mechanism in oscillatory cellular neural/nonlinear networks. Zbl 1191.94166
Szatmári, István; Chua, Leon O.
3
2008
Isles of Eden and the ZUK theorem in \(\mathbb{R}^d\). Zbl 1165.37304
Garay, Barnabas M.; Chua, Leon O.
1
2008
Applications of local activity theory of CNN to controlled coupled Oregonator systems. Zbl 1165.37334
Min, Lequan; Meng, Yan; Chua, Leon O.
1
2008
A nonlinear dynamics perspective of Wolfram’s new kind of science. VII: Isles of Eden. Zbl 1146.37012
Chua, Leon O.; Guan, Junbiao; Sbitnev, Valery I.; Shin, Jinwook
19
2007
A nonlinear dynamics perspective of Wolfram’s new kind of science. VIII: More Isles of Eden. Zbl 1151.37302
Chua, Leon O.; Karacs, Kristof; Sbitev, Valery I.; Guan, Junbiao; Shin, Jinwook
16
2007
Advanced image processing cellular neural networks. Zbl 1136.92303
Itoh, Makoto; Chua, Leon O.
3
2007
A fast algorithm for representing continuous piecewise linear functions in closed form. Zbl 1141.26307
Lum, Robert; Chua, Leon O.
2
2007
Oscillations on the edge of chaos via dissipation and diffusion. Zbl 1185.37060
Itoh, Makoto; Chua, Leon O.
2
2007
A nonlinear dynamics perspective of Wolfram’s new kind of science. VI: From time-reversible attractors to the arrow of time. Zbl 1140.37001
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
19
2006
A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 1 (Part I–III). Reprinted from the journal International Journal of Bifurcation and Chaos in Applied Sciences and Engineering(2002–2004). Zbl 1095.37005
Chua, Leon O.
7
2006
Complexity of reaction-diffusion CNN. Zbl 1185.37191
Itoh, Makoto; Chua, Leon O.
6
2006
How to represent continuous piecewise linear functions in closed form. Zbl 1117.26013
Lum, Robert; Chua, Leon O.
1
2006
A nonlinear dynamics perspective of Wolfram’s new kind of science. Part IV: From Bernoulli shift to \(1/f\) spectrum. Zbl 1084.37011
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
30
2005
Local activity is the origin of complexity. Zbl 1097.37058
Chua, Leon O.
27
2005
A nonlinear dynamics perspective of Wolfram’s new kind of science. V: Fractals everywhere. Zbl 1094.37500
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
14
2005
Image processing and self-organizing CNN. Zbl 1093.94500
Itoh, Makoto; Chua, Leon O.
6
2005
A nonlinear dynamics perspective of Wolfram’s new kind of science. III: Predicting the unpredictable. Zbl 1091.37500
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
23
2004
Time-delayed impulsive control of chaotic hybrid systems. Zbl 1129.93515
Tian, Yu-Ping; Yu, Xinghuo; Chua, Leon O.
10
2004
Star cellular neural networks for associative and dynamic memories. Zbl 1129.37302
Itoh, Makoto; Chua, Leon O.
10
2004
Structurally stable two-cell cellular neural networks. Zbl 1129.37311
Itoh, Makoto; Chua, Leon O.
2
2004
A nonlinear dynamics perspective of Wolfram’s new kind of science. II: Universal neuron. Zbl 1046.37004
Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook
19
2003
Equivalent CNN cell models and patterns. Zbl 1056.37014
Itoh, Makoto; Chua, Leon O.
10
2003
Designing CNN genes. Zbl 1057.37009
Itoh, Makoto; Chua, Leon O.
7
2003
Simplicial RTD-based cellular nonlinear networks. Zbl 1368.94187
Julián, Pedro; Dogaru, Radu; Itoh, Makoto; Hänggi, Martin; Chua, Leon O.
5
2003
A nonlinear dynamics perspective of Wolfram’s new kind of science. I: Threshold of complexity. Zbl 1043.37009
Chua, Leon O.; Yoon, Sook; Dogaru, Radu
26
2002
Local activity criteria for discrete-map CNN. Zbl 1051.82518
Sbitnev, Valery I.; Chua, Leon O.
5
2002
Reconstruction and synchronization of hyperchaotic circuits via one state variable. Zbl 1046.94019
Itoh, Makoto; Chua, Leon O.
4
2002
Replication properties of parity cellular automata. Zbl 1044.37009
Julián, Pedro; Chua, Leon O.
4
2002
CNN dynamics represents a broader class than PDEs. Zbl 1051.34037
Gilli, M.; Roska, T.; Chua, L. O.; Civalleri, P. P.
2
2002
Optimal path finding with space- and time-variant metric weights via multi-layer CNN. Zbl 1003.68137
Kim, Hyongsuk; Son, Hongrak; Roska, Tamás; Chua, Leon O.
2
2002
Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
83
2001
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
58
2001
RTD-based cellular neural networks with multiple steady states. Zbl 1091.34531
Itoh, Makoto; Julián, Pedro; Chua, Leon O.
8
2001
Testing for local activity and edge of chaos. Zbl 1090.92503
Yang, Tao; Chua, Leon O.
7
2001
The local activity criteria for “difference-equation” CNN. Zbl 1090.39505
Sbitnev, Valery I.; Yang, Tao; Chua, Leon O.
6
2001
Cellular neural networks based on resonant tunnelling diodes. Zbl 1063.68083
Hänggi, Martin; Chua, Leon O.
3
2001
Chaos and complexity. Zbl 1090.37514
Brown, Ray; Berezdivin, Robert; Chua, Leon O.
3
2001
Analytical criteria for local activity and applications to the Oregonator CNN. Zbl 1089.92503
Min, Lequan; Crounse, Kenneth R.; Chua, Leon O.
13
2000
Analytical criteria for local activity of reaction-diffusion CNN with four state variables and applications to the Hodgkin-Huxley equation. Zbl 1090.37568
Min, Lequan; Crounse, Kenneth R.; Chua, Leon O.
12
2000
Impulsive control and synchronization of chaos. Zbl 0961.93023
Suykens, J. A. K.; Yang, T.; Vandewalle, J.; Chua, L. O.
3
2000
Piecewise-linear chaotic systems with a single equilibrium point. Zbl 0982.37020
Yang, Tao; Chua, Leon O.
1
2000
Slow manifolds of some chaotic systems with applications to laser systems. Zbl 0978.37017
Ramdani, Sofiane; Rossetto, Bruno; Chua, Leon O.; Lozi, René
1
2000
Mutations of the “game of life”: a generalized cellular automata perspective of complex adaptive systems. Zbl 1090.37503
Dogaru, Radu; Chua, Leon O.
1
2000
Robust synthesis for master-slave synchronization of Lur’e systems. Zbl 1055.93549
Suykens, Johan A. K.; Curran, Paul F.; Chua, Leon O.
70
1999
Passivity and complexity. Zbl 0948.92002
Chua, Leon O.
54
1999
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
51
1999
Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits. Zbl 0963.34029
Itoh, Makoto; Yang, Tao; Chua, Leon O.
20
1999
Universal CNN cells. Zbl 0986.92002
Dogaru, Radu; Chua, Leon O.
14
1999
Hopf bifurcations and degeneracies in Chua’s circuit. – A perspective from a frequency domain approach. Zbl 0937.37028
Moiola, Jorge L.; Chua, Leon O.
10
1999
CNN: A paradigm for complexity. Zbl 1004.37515
Chua, Leon O.
6
1999
Clarifying chaos. III: Chaotic and stochastic processes, chaotic resonance, and number theory. Zbl 1089.37511
Brown, Ray; Chua, Leon O.
5
1999
\(\Omega\)-globally attractive equilibrium points of the CNN. Zbl 0981.37035
Min, Lequan; Crounse, Kenneth R.; Chua, Leon O.
1
1999
Methods of qualitative theory in nonlinear dynamics. Part I. Zbl 0941.34001
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
148
1998
CNN: a paradigm for complexity. Zbl 0916.68132
Chua, Leon O.
68
1998
The role of synchronization in digital communications using chaos. II: Chaotic modulation and chaotic synchronization. Zbl 0991.93097
Kolumbán, Géza; Kennedy, Michael Peter; Chua, Leon O.
58
1998
Edge of chaos and local activity domain of FitzHugh-Nagumo equation. Zbl 0933.37042
Dogaru, Radu; Chua, Leon O.
41
1998
Impulsive synchronization of chaotic Lur’e systems by measurement feedback. Zbl 0936.93027
Suykens, J. A. K.; Yang, T.; Chua, L. O.
38
1998
...and 219 more Documents
all top 5

Cited by 5,223 Authors

119 Chua, Leon Ong
92 Cao, Jinde
91 Chen, Guanrong
36 Gardini, Laura
34 Liao, Xiaofeng
30 Li, Chuandong
26 Wang, Xingyuan
25 Billings, Stephen A.
25 Hsu, Cheng-Hsiung
25 Itoh, Makoto
25 Zeng, Zhigang
24 Chen, Fangyue
24 Fortuna, Luigi
24 Grassi, Giuseppe
24 Riaza, Ricardo
22 Huang, Lihong
22 Park, Juhyun (Jessie)
22 Yu, Pei
21 Avrutin, Viktor
21 Liu, Xinzhi
21 Pham, Viet-Thanh
21 Turaev, Dmitry V.
20 Kapitaniak, Tomasz
20 Llibre, Jaume
20 Moiola, Jorge Luis
19 Ban, Jungchao
19 Frasca, Mattia
19 Wu, Xiaofeng
19 Yang, Tao
19 Yang, Xiaosong
18 Balasubramaniam, Pagavathigounder
18 Chen, Tianping
18 Forti, Mauro
18 Jiang, Haijun
18 Lu, Jinhu
18 Sun, Ji Tao
17 Fu, Xinchu
17 Huang, Tingwen
17 Lin, Song-Sun
16 Di Marco, Mauro
16 Gonchenko, Sergey V.
16 Kuznetsov, Nikolay Vladimirovich
16 Leonov, Gennadiĭ Alekseevich
16 Min, Lequan
16 Nijmeijer, Henk
16 Sushko, Iryna
15 Akhmet, Marat Ubaydulla
15 Bowong, Samuel
15 Freire Macías, Emilio
15 Liao, Xiao Xin
15 Lu, Junan
15 Ouannas, Adel
15 Ponce, Enrique
14 Liao, Tehlu
14 Rakkiyappan, Rajan
14 Song, Qiankun
14 Wang, Chunhua
14 Wang, Zidong
14 Wei, Xiaopeng
14 Xu, Jin
14 Yu, Simin
14 Zhang, Qiang
13 Chen, Shihua
13 Ho, Daniel W. C.
13 Kim, Hyongsuk
13 Schanz, Michael
13 Shih, Chih-Wen
13 Yang, Qigui
12 Bilotta, Eleonora
12 Chang, Chih-Hung
12 Cui, Baotong
12 Lakshmanan, Muthusamy
12 Lu, Wenlian
12 Pantano, Pietro
12 Sbitnev, Valery I.
12 Tang, Wallace Kit-Sang
12 Thamilmaran, Kathamuthu
12 Yang, Xinsong
12 Zhou, Shengfan
11 Aguirre, Luis Antonio
11 Fang, Jian’an
11 Fradkov, Aleksandr L’vovich
11 Jafari, Sajad
11 Li, Yuxia
11 Lu, Jianquan
11 Tramontana, Fabio
11 Volos, Christos K.
11 Wang, Guangyi
11 Wang, Zhen
11 Yu, Wenwu
10 Čelikovský, Sergej
10 Ginoux, Jean-Marc
10 Huang, He
10 Jin, Weifeng
10 Kuznetsov, Sergey P.
10 Kwon, O. M.
10 Liang, Jinling
10 Lin, Wen-Wei
10 Moukam Kakmeni, F. M.
10 Pancioni, Luca
...and 5,123 more Authors
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Cited in 320 Serials

862 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
348 Chaos, Solitons and Fractals
223 Chaos
184 Nonlinear Dynamics
124 Communications in Nonlinear Science and Numerical Simulation
122 International Journal of Circuit Theory and Applications
113 Applied Mathematics and Computation
103 Journal of the Franklin Institute
97 Physica D
83 Neural Networks
75 Automatica
68 Mathematical Problems in Engineering
54 Nonlinear Analysis. Real World Applications
48 Circuits, Systems, and Signal Processing
47 Journal of Differential Equations
44 International Journal of Control
39 Physics Letters. A
38 Journal of Mathematical Analysis and Applications
37 Mathematics and Computers in Simulation
37 Abstract and Applied Analysis
36 Advances in Difference Equations
35 Computers & Mathematics with Applications
33 Complexity
32 Journal of Computational and Applied Mathematics
30 Discrete Dynamics in Nature and Society
27 International Journal of Modern Physics B
26 Mathematical and Computer Modelling
26 Applied Mathematical Modelling
25 Systems & Control Letters
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 International Journal of Systems Science
23 Regular and Chaotic Dynamics
18 Neural Computation
17 Journal of Dynamics and Differential Equations
17 SIAM Journal on Applied Dynamical Systems
16 International Journal of Robust and Nonlinear Control
16 Discrete and Continuous Dynamical Systems. Series B
14 COMPEL
14 Journal of Nonlinear Science
13 Nonlinear Analysis. Hybrid Systems
12 Mathematical Methods in the Applied Sciences
12 Dynamical Systems
11 Information Sciences
11 Kybernetika
11 Applied Mathematics and Mechanics. (English Edition)
11 International Journal of Modern Physics C
11 Journal of Applied Mathematics
11 Asian Journal of Control
10 International Applied Mechanics
10 Journal of Mathematical Sciences (New York)
10 European Journal of Control
9 Journal of Computational Physics
9 Fuzzy Sets and Systems
9 Acta Mathematicae Applicatae Sinica. English Series
9 Applied Mathematics Letters
9 International Journal of Adaptive Control and Signal Processing
9 International Journal of Computer Mathematics
9 Discrete and Continuous Dynamical Systems
9 Qualitative Theory of Dynamical Systems
9 Proceedings of the Steklov Institute of Mathematics
8 Modern Physics Letters B
8 Nonlinearity
8 SIAM Journal on Control and Optimization
8 Automation and Remote Control
8 Journal of Difference Equations and Applications
8 Journal of Control Theory and Applications
8 International Journal of Systems Science. Principles and Applications of Systems and Integration
7 Biological Cybernetics
7 Journal of Fluid Mechanics
7 Mathematical Biosciences
7 Physica A
7 International Journal for Numerical Methods in Engineering
7 Theoretical Computer Science
7 Acta Applicandae Mathematicae
7 Dynamics and Stability of Systems
7 Journal of Vibration and Control
7 EURASIP Journal on Advances in Signal Processing
6 Discrete Applied Mathematics
6 Journal of Optimization Theory and Applications
6 Journal of Economic Dynamics & Control
6 Signal Processing
6 Linear Algebra and its Applications
6 Cybernetics and Systems Analysis
6 Journal of Applied Analysis and Computation
6 Nonlinear Analysis. Theory, Methods & Applications
5 Communications in Mathematical Physics
5 International Journal of General Systems
5 Journal of Mathematical Physics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Bulletin of Mathematical Biology
5 Journal of Computer and System Sciences
5 Meccanica
5 Chinese Annals of Mathematics. Series B
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Journal of Applied Mathematics and Computing
5 Journal of Dynamical Systems and Geometric Theories
5 Science in China. Series F
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Engineering Mathematics
4 Journal of Mathematical Biology
...and 220 more Serials
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Cited in 53 Fields

1,798 Ordinary differential equations (34-XX)
1,695 Dynamical systems and ergodic theory (37-XX)
1,232 Systems theory; control (93-XX)
764 Biology and other natural sciences (92-XX)
751 Information and communication theory, circuits (94-XX)
386 Computer science (68-XX)
212 Numerical analysis (65-XX)
180 Mechanics of particles and systems (70-XX)
132 Partial differential equations (35-XX)
86 Probability theory and stochastic processes (60-XX)
80 Operations research, mathematical programming (90-XX)
70 Difference and functional equations (39-XX)
63 Statistical mechanics, structure of matter (82-XX)
60 Combinatorics (05-XX)
58 Mechanics of deformable solids (74-XX)
54 Optics, electromagnetic theory (78-XX)
47 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
42 Fluid mechanics (76-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
36 Operator theory (47-XX)
34 Real functions (26-XX)
28 Statistics (62-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
17 Integral equations (45-XX)
11 Measure and integration (28-XX)
11 Approximations and expansions (41-XX)
11 Differential geometry (53-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Quantum theory (81-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 History and biography (01-XX)
7 General and overarching topics; collections (00-XX)
7 Number theory (11-XX)
7 Geophysics (86-XX)
6 Mathematical logic and foundations (03-XX)
6 Special functions (33-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Manifolds and cell complexes (57-XX)
4 Abstract harmonic analysis (43-XX)
4 Functional analysis (46-XX)
4 Relativity and gravitational theory (83-XX)
3 Functions of a complex variable (30-XX)
3 General topology (54-XX)
3 Astronomy and astrophysics (85-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral transforms, operational calculus (44-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

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