×
Compute Distance To:
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
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 390 Publications since 1969, including 20 Books
5 Contributions as Editor
Biographic References: 6 Publications
Co-Authors: 228 Co-Authors with 359 Joint Publications
4,799 Co-Co-Authors
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 Tetzlaff, Ronald
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 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 Neirynck, Jacques
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
...and 129 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

330 Publications have been cited 6,878 times in 4,345 Documents Cited by Year
Cellular neural networks: Theory. Zbl 0663.94022
Chua, Leon O.; Yang, Lin
664
1988
The double scroll family. Zbl 0634.58015
Chua, Leon O.; Komuro, Motomasa; Matsumoto, Takashi
309
1986
Practical numerical algorithms for chaotic systems. Zbl 0692.58001
Parker, Thomas S.; Chua, Leon O.
241
1989
Synchronization in an array of linearly coupled dynamical systems. Zbl 0867.93042
Wu, Chai Wah; Chua, Leon O.
225
1995
Methods of qualitative theory in nonlinear dynamics. Part I. Zbl 0941.34001
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
174
1998
The \(CNN\) paradigm. Zbl 0800.92041
Chua, Leon O.; Roska, Tamás
164
1993
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
164
2008
Computer-aided analysis of electronic circuits. Algorithms and computational techniques. Zbl 0358.94002
Chua, Leon O.; Lin, Pen-Min
120
1975
The double scroll. Zbl 0578.94023
Matsumoto, Takashi; Chua, Leon O.; Komuro, Motomasa
118
1985
Fading memory and the problem of approximating nonlinear operators with Volterra series. Zbl 0587.93028
Boyd, Stephen; Chua, Leon O.
118
1985
Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U.
118
1992
Linear and nonlinear circuits. Zbl 0631.94017
Chua, Leon O.; Desoer, Charles A.; Kuh, Ernest S.
112
1987
A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445
Wu, Chai Wah; Chua, Leon O.
106
1994
A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004
Wu, Chai Wah; Chua, Leon O.
106
1993
Cellular neural networks with non-linear and delay-type template elements and non-uniform grids. Zbl 0775.92011
Roska, Tamás; Chua, Leon O.
104
1992
Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003
Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O.
100
2001
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
96
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
Stability and dynamics of delay-type general and cellular neural networks. Zbl 0775.92010
Roska, Tamás; Wu, Chai Wah; Balsi, Marco; Chua, Leon O.
82
1992
CNN: a paradigm for complexity. Zbl 0916.68132
Chua, Leon O.
74
1998
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
73
2009
Canonical realization of Chua’s circuit family. Zbl 0706.94026
Chua, Leon O.; Lin, Gui-Nian
72
1990
Robust synthesis for master-slave synchronization of Lur’e systems. Zbl 1055.93549
Suykens, Johan A. K.; Curran, Paul F.; Chua, Leon O.
71
1999
The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems. Zbl 0438.93035
Mees, Alistair I.; Chua, Leon O.
70
1979
Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037
Kapitaniak, Tomasz; Chua, Leon O.
68
1994
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
66
2001
Stability of cellular neural networks with dominant nonlinear and delay- type templates. Zbl 0800.92044
Roska, Tamás; Wu, Chai Wah; Chua, Leon O.
65
1993
Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374
Yang, Tao; Chua, Leon O.
64
1997
On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182
Wu, Chai Wah; Yang, Tao; Chua, Leon O.
63
1996
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.
60
1998
Passivity and complexity. Zbl 0948.92002
Chua, Leon O.
59
1999
Absolute stability theory and the synchronization problem. Zbl 0910.34054
Curran, P. F.; Chua, L. O.
58
1997
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
55
1999
Cryptography based on chaotic systems. Zbl 0884.94021
Yang, Tao; Wu, Chai Wah; Chua, Leon O.
55
1997
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
Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133
Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto
52
1992
CNN: A vision of complexity. Zbl 0901.68138
Chua, Leon O.
47
1997
Spread spectrum communication through modulation of chaos. Zbl 0870.94002
Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O.
46
1993
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.
44
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.
42
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.
41
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
Clarifying chaos: Examples and counterexamples. Zbl 0874.58038
Brown, Ray; Chua, Leon O.
36
1996
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
Global properties of continuous piecewise linear vector fields. I: Simplest case in \({\mathbb{R}}^ 2\). Zbl 0732.34029
Lum, Robert; Chua, Leon O.
34
1991
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
Local activity is the origin of complexity. Zbl 1097.37058
Chua, Leon O.
31
2005
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.
30
1994
Impasse points. I: Numerical aspects. Zbl 0676.94022
Chua, Leon O.; Deng, An-Chang
28
1989
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
Communication systems via chaotic signals from a reconstruction viewpoint. Zbl 0890.94007
Itoh, Makoto; Wu, Chai Wah; Chua, Leon O.
27
1997
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
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.
25
2017
Master-slave synchronization using dynamic output feedback. Zbl 0925.93343
Suykens, J. A. K.; Curran, P. F.; Chua, L. O.
24
1997
\(n\)-double scroll hypercubes in 1-D CNNs. Zbl 0907.58065
Suykens, J. A. K.; 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
Edge of chaos and local activity domain of the Brusselator CNN. Zbl 0933.92018
Dogaru, Radu; Chua, Leon O.
23
1998
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
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
22
2003
Chaos via torus breakdown. Zbl 0637.94019
Matsumoto, Takashi; Chua, Leon O.; Tokunaga, Ryuji
22
1987
Analytical foundations of Volterra series. Zbl 0668.93042
Boyd, Stephen; Chua, L. O.; Desoer, C. A.
22
1984
Channel-independent chaotic secure communication. Zbl 1298.94112
Yang, Tao; Chua, Leon O.
21
1996
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 observation of antimonotonicity in Chua’s circuit. Zbl 0894.58061
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.
21
1993
Device modeling via basic nonlinear circuit elements. Zbl 0466.94031
Chua, Leon O.
21
1980
Hodgkin-Huxley axon is made of memristors. Zbl 1270.94073
Chua, Leon; Sbitnev, Valery; Kim, Hyongsuk
21
2012
Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits. Zbl 0963.34029
Itoh, Makoto; Yang, Tao; Chua, Leon O.
20
1999
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.
20
1995
Experimental results of impulse synchronization bwtween two Chua’s circuits. Zbl 0941.34507
Panas, Andrey I.; Yang, Tao; Chua, Leon O.
19
1998
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.
19
1993
Impasse points. II: Analytical aspects. Zbl 0676.94023
Chua, Leon O.; Deng, An-Chang
19
1989
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
Memristor Hamiltonian circuits. Zbl 1248.34064
Itoh, Makoto; Chua, Leon O.
19
2011
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
Dynamic nonlinear networks: State-of-the-art. Zbl 0467.93031
Chua, Leon O.
17
1980
Chaotic digital code-division multiple access (CDMA) communication systems. Zbl 1126.94304
Yang, Tao; Chua, Leon O.
16
1997
Reality of chaos in the double scroll circuit: A computer-assisted proof. Zbl 0661.58019
Matsumoto, Takashi; Chua, Leon O.; Ayaki, Kenichiro
16
1988
Stability analysis of generalized cellular neural networks. Zbl 0766.94024
Guzelis, Cuneyt; Chua, Leon O.
16
1993
Cellular neural networks. Zbl 0692.34036
Chua, Leon O.; Lin, Yang
16
1988
Canonical piecewise-linear analysis. Zbl 0504.94033
Chua, Leon O.; Ying, Robin L. P.
16
1983
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
On the universe of stable cellular neural networks. Zbl 0775.92003
Chua, Leon O.; Wu, Chai Wah
15
1992
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
The effect of integrator leak in \(\sigma\)-\(\Delta\) modulation. Zbl 0739.94005
Feely, Orla; Chua, Leon O.
15
1991
Global properties of continuous piecewise linear vector fields. II: Simplest symmetric case in \(\mathbb{R}{}^ 2\). Zbl 0745.34022
Lum, Robert; Chua, Leon O.
15
1992
Measuring Volterra kernels. Zbl 0518.93058
Boyd, Stephen; Tang, Y. S.; Chua, Leon O.
15
1983
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
Controlling and synchronization of chaos in the simplest dissipative non-autonomous circuit. Zbl 0890.94046
Murali, K.; Lakshmanan, M.; Chua, L. O.
14
1995
Two-parameter study of transition to chaos in Chua’s circuit: renormalization group, universality and scaling. Zbl 0894.58043
Kuznetsov, A. P.; Kuznetsov, S. P.; Sataev, I. R.; Chua, L. O.
14
1993
Slow invariant manifolds as curvature of the flow of dynamical systems. Zbl 1165.37314
Ginoux, Jean-Marc; Rossetto, Bruno; Chua, Leon O.
14
2008
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
Birth and death of the double scroll. Zbl 0631.58017
Matsumoto, T.; Chua, L. O.; Komuro, M.
14
1987
Memristor computing systems. Zbl 1492.94012
1
2022
The Chua lectures: from memristors and cellular nonlinear networks to the edge of chaos. Volume II. Memristors and CNN: the right stuff for AI and brain-like computers, Palo Alto, CA, USA, September 22 – November 24, 2015. Zbl 1451.37002
Chua, Leon O.
1
2021
Hearts are poised near the edge of chaos. Zbl 1448.92056
Zhang, Xiaohong; Wu, Zhengze; Chua, Leon
1
2020
Theoretical foundations of memristor cellular nonlinear networks: stability analysis with dynamic memristors. Zbl 1468.94939
Ascoli, Alon; Messaris, Ioannis; Tetzlaff, Ronald; Chua, Leon O.
1
2020
Theoretical foundations of memristor cellular nonlinear networks: memcomputing with bistable-like memristors. Zbl 1469.94245
Tetzlaff, Ronald; Ascoli, Alon; Messaris, Ioannis; Chua, Leon O.
1
2020
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.
25
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
11
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
6
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
3
2017
Hidden bifurcations in the multispiral Chua attractor. Zbl 1357.34073
Menacer, Tidjani; Lozi, René; Chua, Leon O.
7
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
8
2015
Neuron model with simplified memristive ionic channels. Zbl 1317.34104
Hegab, Almoatazbellah M.; Salem, Noha M.; Radwan, Ahmed G.; Chua, Leon
3
2015
Dynamic behavior of coupled memristor circuits. Zbl 1468.94874
Yu, Dongsheng; Iu, Herbert Ho-Ching; Liang, Yan; Fernando, Tyrone; Chua, Leon O.
2
2015
A generic model of memristors with parasitic components. Zbl 1468.94790
Sah, Maheshwar Pd.; Yang, Changju; Kim, Hyongsuk; Muthuswamy, Bharathwaj; Jevtic, Jovan; Chua, Leon
1
2015
Memfractance: a mathematical paradigm for circuit elements with memory. Zbl 1301.94173
Abdelouahab, Mohammed-Salah; Lozi, René; Chua, Leon
12
2014
Dynamics of memristor circuits. Zbl 1296.34124
Itoh, Makoto; Chua, Leon O.
11
2014
Memristor networks. Zbl 1282.68053
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
4
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
4
2014
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1283.68229
Itoh, Makoto; 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
Duality of memristor circuits. Zbl 1270.34126
Itoh, Makoto; Chua, Leon O.
9
2013
Canards from Chua’s circuit. Zbl 1270.34124
Ginoux, Jean-Marc; Llibre, Jaume; Chua, Leon O.
5
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
21
2012
Memristor emulator for memristor circuit applications. Zbl 1468.94667
Kim, Hyongsuk; Sah, Maheshwar Pd.; Yang, Changju; Cho, Seongik; Chua, Leon O.
4
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
4
2012
Neural synaptic weighting with a pulse-based memristor circuit. Zbl 1468.94668
Kim, Hyongsuk; Sah, Maheshwar Pd.; Yang, Changju; Roska, Tamás; Chua, Leon O.
3
2012
The universe as automaton. From simplicity and symmetry to complexity. Zbl 1237.37002
Mainzer, Klaus; Chua, Leon O.
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.
19
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
Topological analysis of chaotic solution of a three-element memristive circuit. Zbl 1208.34068
Ginoux, Jean-Marc; Letellier, Christophe; Chua, Leon O.
3
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
The Wolfram machine. Zbl 1208.68155
Fortuna, Luigi; Frasca, Mattia; Fiore, Angelo Sarra; Chua, Leon O.
1
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.
73
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
6
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 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
Difference equations for cellular automata. Zbl 1167.68391
Itoh, Makoto; Chua, Leon O.
2
2009
A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 3. Zbl 1185.37017
Chua, Leon O.
2
2009
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
164
2008
Slow invariant manifolds as curvature of the flow of dynamical systems. Zbl 1165.37314
Ginoux, Jean-Marc; Rossetto, Bruno; Chua, Leon O.
14
2008
The four-element Chua’s circuit. Zbl 1147.34328
Barboza, Ruy; Chua, Leon O.
13
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.
9
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
Local activity is the origin of complexity. Zbl 1097.37058
Chua, Leon O.
31
2005
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
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
22
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.
3
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.
100
2001
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
66
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
Chaos and complexity. Zbl 1090.37514
Brown, Ray; Berezdivin, Robert; Chua, Leon O.
3
2001
Cellular neural networks based on resonant tunnelling diodes. Zbl 1063.68083
Hänggi, Martin; 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.
71
1999
Passivity and complexity. Zbl 0948.92002
Chua, Leon O.
59
1999
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
55
1999
Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits. Zbl 0963.34029
Itoh, Makoto; Yang, Tao; Chua, Leon O.
20
1999
...and 230 more Documents
all top 5

Cited by 5,722 Authors

119 Chua, Leon Ong
94 Chen, Guanrong
93 Cao, Jinde
36 Gardini, Laura
35 Liao, Xiaofeng
30 Li, Chuandong
30 Wang, Xingyuan
27 Zeng, Zhigang
26 Grassi, Giuseppe
25 Billings, Stephen A.
25 Fortuna, Luigi
25 Hsu, Cheng-Hsiung
25 Itoh, Makoto
25 Llibre, Jaume
24 Chen, Fangyue
24 Pham, Viet-Thanh
24 Riaza, Ricardo
22 Huang, Lihong
22 Liu, Xinzhi
22 Park, Juhyun (Jessie)
22 Turaev, Dmitry V.
22 Yu, Pei
21 Avrutin, Viktor
21 Frasca, Mattia
21 Moiola, Jorge Luis
20 Jiang, Haijun
20 Kapitaniak, Tomasz
19 Ban, Jungchao
19 Forti, Mauro
19 Wu, Xiaofeng
19 Yang, Tao
19 Yang, Xiaosong
18 Chen, Tianping
18 Gonchenko, Sergey V.
18 Lu, Jinhu
18 Ouannas, Adel
18 Sun, Ji Tao
17 Balasubramaniam, Pagavathigounder
17 Di Marco, Mauro
17 Fu, Xinchu
17 Huang, Tingwen
17 Kuznetsov, Nikolay Vladimirovich
17 Lin, Song-Sun
17 Nijmeijer, Henk
17 Wang, Guangyi
16 Freire Macías, Emilio
16 Jafari, Sajad
16 Leonov, Gennadiĭ Alekseevich
16 Min, Lequan
16 Ponce, Enrique
16 Sushko, Iryna
16 Wang, Chunhua
15 Akhmet, Marat Ubaydulla
15 Bowong, Samuel
15 Liao, Xiao Xin
15 Lu, Junan
15 Yang, Qigui
15 Zhang, Qiang
14 Liao, Tehlu
14 Lu, Jianquan
14 Rakkiyappan, Rajan
14 Song, Qiankun
14 Wang, Zidong
14 Wei, Xiaopeng
14 Xu, Jin
14 Yu, Simin
13 Bilotta, Eleonora
13 Chen, Shihua
13 Ho, Daniel W. C.
13 Kim, Hyongsuk
13 Pantano, Pietro
13 Schanz, Michael
13 Shih, Chih-Wen
13 Volos, Christos K.
12 Chang, Chih-Hung
12 Cui, Baotong
12 Fradkov, Aleksandr L’vovich
12 Kengne, Jacques
12 Lakshmanan, Muthusamy
12 Lu, Wenlian
12 Sbitnev, Valery I.
12 Tang, Wallace Kit-Sang
12 Thamilmaran, Kathamuthu
12 Yang, Xinsong
12 Zhou, Shengfan
11 Aguirre, Luis Antonio
11 Bao, Bocheng
11 Fang, Jian’an
11 Fotsin, Hilaire Bertrand
11 Ginoux, Jean-Marc
11 Li, Yuxia
11 Pancioni, Luca
11 Qi, Guoyuan
11 Shilnikov, Andrey L.
11 Tramontana, Fabio
11 Wang, Zhen
11 Yu, Wenwu
10 Abdurahman, Abdujelil
10 Al-saedi, Ahmed Eid Salem
10 Buscarino, Arturo
...and 5,622 more Authors
all top 5

Cited in 346 Serials

886 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
404 Chaos, Solitons and Fractals
223 Chaos
184 Nonlinear Dynamics
133 Communications in Nonlinear Science and Numerical Simulation
122 International Journal of Circuit Theory and Applications
120 Applied Mathematics and Computation
111 Journal of the Franklin Institute
110 Physica D
84 Neural Networks
81 Automatica
68 Mathematical Problems in Engineering
56 Nonlinear Analysis. Real World Applications
52 Journal of Differential Equations
48 Circuits, Systems, and Signal Processing
45 International Journal of Control
42 Physics Letters. A
41 Advances in Difference Equations
38 Journal of Mathematical Analysis and Applications
38 Mathematics and Computers in Simulation
37 Abstract and Applied Analysis
35 Computers & Mathematics with Applications
33 Complexity
33 Discrete Dynamics in Nature and Society
32 Journal of Computational and Applied Mathematics
28 International Journal of Modern Physics B
27 Discrete and Continuous Dynamical Systems. Series B
26 Mathematical and Computer Modelling
26 Applied Mathematical Modelling
25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Systems & Control Letters
25 Regular and Chaotic Dynamics
24 Physica A
23 International Journal of Systems Science
19 International Journal of Systems Science. Principles and Applications of Systems and Integration
18 Neural Computation
18 Journal of Dynamics and Differential Equations
17 SIAM Journal on Applied Dynamical Systems
17 Nonlinear Analysis. Hybrid Systems
16 International Journal of Robust and Nonlinear Control
14 COMPEL
14 Journal of Nonlinear Science
13 International Journal of Computer Mathematics
13 European Journal of Control
13 Dynamical Systems
12 Mathematical Methods in the Applied Sciences
11 Information Sciences
11 Kybernetika
11 Applied Mathematics and Mechanics. (English Edition)
11 Journal of Difference Equations and Applications
11 International Journal of Modern Physics C
11 Journal of Applied Mathematics
11 Asian Journal of Control
10 Nonlinearity
10 Applied Mathematics Letters
10 International Applied Mechanics
10 Journal of Mathematical Sciences (New York)
10 Discrete and Continuous Dynamical Systems
10 Qualitative Theory of Dynamical Systems
9 Journal of Computational Physics
9 Fuzzy Sets and Systems
9 Acta Mathematicae Applicatae Sinica. English Series
9 International Journal of Adaptive Control and Signal Processing
9 Proceedings of the Steklov Institute of Mathematics
8 Modern Physics Letters B
8 Journal of Fluid Mechanics
8 SIAM Journal on Control and Optimization
8 Acta Applicandae Mathematicae
8 Automation and Remote Control
8 Journal of Control Theory and Applications
7 Biological Cybernetics
7 Mathematical Biosciences
7 International Journal for Numerical Methods in Engineering
7 Theoretical Computer Science
7 Dynamics and Stability of Systems
7 Journal of Vibration and Control
7 Journal of Dynamical Systems and Geometric Theories
7 EURASIP Journal on Advances in Signal Processing
7 Advances in Mathematical Physics
7 Nonlinear Analysis. Theory, Methods & Applications
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 Computational and Applied Mathematics
6 Lobachevskii Journal of Mathematics
6 Journal of Applied Analysis and Computation
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 Doklady Mathematics
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Nonlinear Analysis. Modelling and Control
...and 246 more Serials
all top 5

Cited in 53 Fields

1,925 Ordinary differential equations (34-XX)
1,795 Dynamical systems and ergodic theory (37-XX)
1,311 Systems theory; control (93-XX)
814 Information and communication theory, circuits (94-XX)
809 Biology and other natural sciences (92-XX)
406 Computer science (68-XX)
220 Numerical analysis (65-XX)
189 Mechanics of particles and systems (70-XX)
153 Partial differential equations (35-XX)
96 Probability theory and stochastic processes (60-XX)
86 Statistical mechanics, structure of matter (82-XX)
86 Operations research, mathematical programming (90-XX)
81 Difference and functional equations (39-XX)
62 Combinatorics (05-XX)
61 Mechanics of deformable solids (74-XX)
60 Optics, electromagnetic theory (78-XX)
51 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
46 Real functions (26-XX)
43 Fluid mechanics (76-XX)
40 Operator theory (47-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
33 Statistics (62-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
18 Integral equations (45-XX)
18 Quantum theory (81-XX)
14 Measure and integration (28-XX)
13 Differential geometry (53-XX)
12 Approximations and expansions (41-XX)
12 Global analysis, analysis on manifolds (58-XX)
10 Classical thermodynamics, heat transfer (80-XX)
8 History and biography (01-XX)
8 Geophysics (86-XX)
7 Mathematical logic and foundations (03-XX)
7 Number theory (11-XX)
7 Special functions (33-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 General and overarching topics; collections (00-XX)
6 Manifolds and cell complexes (57-XX)
5 Abstract harmonic analysis (43-XX)
5 Functional analysis (46-XX)
4 General topology (54-XX)
3 Functions of a complex variable (30-XX)
3 Relativity and gravitational theory (83-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)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.