Edit Profile (opens in new tab) Chua, Leon Ong Compute Distance To: Compute Author ID: chua.leon-o Published as: Chua, Leon O.; Chua, L. O.; Chua, Leon; Chua, Léon O.; Chua, Leon O more...less 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 all top 5 Serials 175 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 60 IEEE Transactions on Circuits and Systems 55 International Journal of Circuit Theory and Applications 24 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 13 World Scientific Series on Nonlinear Science. Series A 9 IEEE Transactions on Circuits and Systems I: Regular Papers 5 Journal of the Franklin Institute 5 IEEE Transactions on Circuits and Systems. II: Analog and Digital Signal Processing 3 Philosophical Transactions of the Royal Society of London. Series A 2 Journal of Mathematical Analysis and Applications 2 IEEE Transactions on Automatic Control 2 Physica D 1 IMA Journal of Mathematical Control and Information 1 Complex Systems 1 Annales des Télécommunications 1 Nonlinear Times and Digest 1 Journal of Nonlinear Mathematical Physics 1 Communications in Nonlinear Science and Numerical Simulation 1 SpringerBriefs in Complexity 1 PLISKA. Studia Mathematica all top 5 Fields 209 Information and communication theory, circuits (94-XX) 172 Dynamical systems and ergodic theory (37-XX) 95 Ordinary differential equations (34-XX) 64 Biology and other natural sciences (92-XX) 60 Systems theory; control (93-XX) 58 Computer science (68-XX) 12 General and overarching topics; collections (00-XX) 12 Mechanics of particles and systems (70-XX) 11 Numerical analysis (65-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Partial differential equations (35-XX) 7 Approximations and expansions (41-XX) 7 Operations research, mathematical programming (90-XX) 5 Combinatorics (05-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 4 Manifolds and cell complexes (57-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications 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 0663.94022Chua, Leon O.; Yang, Lin 664 1988 The double scroll family. Zbl 0634.58015Chua, Leon O.; Komuro, Motomasa; Matsumoto, Takashi 309 1986 Practical numerical algorithms for chaotic systems. Zbl 0692.58001Parker, Thomas S.; Chua, Leon O. 241 1989 Synchronization in an array of linearly coupled dynamical systems. Zbl 0867.93042Wu, Chai Wah; Chua, Leon O. 225 1995 Methods of qualitative theory in nonlinear dynamics. Part I. Zbl 0941.34001Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O. 174 1998 The \(CNN\) paradigm. Zbl 0800.92041Chua, Leon O.; Roska, Tamás 164 1993 Memristor oscillators. Zbl 1165.94300Itoh, Makoto; Chua, Leon O. 164 2008 Computer-aided analysis of electronic circuits. Algorithms and computational techniques. Zbl 0358.94002Chua, Leon O.; Lin, Pen-Min 120 1975 The double scroll. Zbl 0578.94023Matsumoto, Takashi; Chua, Leon O.; Komuro, Motomasa 118 1985 Fading memory and the problem of approximating nonlinear operators with Volterra series. Zbl 0587.93028Boyd, Stephen; Chua, Leon O. 118 1985 Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U. 118 1992 Linear and nonlinear circuits. Zbl 0631.94017Chua, Leon O.; Desoer, Charles A.; Kuh, Ernest S. 112 1987 A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445Wu, Chai Wah; Chua, Leon O. 106 1994 A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004Wu, Chai Wah; Chua, Leon O. 106 1993 Cellular neural networks with non-linear and delay-type template elements and non-uniform grids. Zbl 0775.92011Roska, Tamás; Chua, Leon O. 104 1992 Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003Shilnikov, 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 0844.58052Chua, Leon O.; Wu, Chai Wah; Huang, Anshan; Zhong, Guo-Qun 96 1993 Transmission of digital signals by chaotic synchronization. Zbl 0870.94011Parlitz, 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 0775.92010Roska, Tamás; Wu, Chai Wah; Balsi, Marco; Chua, Leon O. 82 1992 CNN: a paradigm for complexity. Zbl 0916.68132Chua, Leon O. 74 1998 Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014Itoh, Makoto; Chua, Leon O. 73 2009 Canonical realization of Chua’s circuit family. Zbl 0706.94026Chua, Leon O.; Lin, Gui-Nian 72 1990 Robust synthesis for master-slave synchronization of Lur’e systems. Zbl 1055.93549Suykens, 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 0438.93035Mees, Alistair I.; Chua, Leon O. 70 1979 Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037Kapitaniak, Tomasz; Chua, Leon O. 68 1994 Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520Itoh, Makoto; Yang, Tao; Chua, Leon O. 66 2001 Stability of cellular neural networks with dominant nonlinear and delay- type templates. Zbl 0800.92044Roska, Tamás; Wu, Chai Wah; Chua, Leon O. 65 1993 Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374Yang, Tao; Chua, Leon O. 64 1997 On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182Wu, 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 0991.93097Kolumbán, Géza; Kennedy, Michael Peter; Chua, Leon O. 60 1998 Passivity and complexity. Zbl 0948.92002Chua, Leon O. 59 1999 Absolute stability theory and the synchronization problem. Zbl 0910.34054Curran, P. F.; Chua, L. O. 58 1997 Generalized synchronization of chaos via linear transformations. Zbl 0937.37019Yang, Tao; Chua, Leon O. 55 1999 Cryptography based on chaotic systems. Zbl 0884.94021Yang, Tao; Wu, Chai Wah; Chua, Leon O. 55 1997 Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O. 55 1993 Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto 52 1992 CNN: A vision of complexity. Zbl 0901.68138Chua, Leon O. 47 1997 Spread spectrum communication through modulation of chaos. Zbl 0870.94002Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O. 46 1993 The CNN universal machine: An analogic array computer. Zbl 0800.68251Roska, 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 0800.92038Pérez-Muñuzuri, V.; Pérez-Villar, V.; Chua, Leon O. 44 1993 Bifurcations of attracting cycles from time-delayed Chua’s circuit. Zbl 0885.58059Maistrenko, 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 0933.37042Dogaru, Radu; Chua, Leon O. 42 1998 On periodic orbits and homoclinic bifurcations in Chua’s circuit with a smooth nonlinearity. Zbl 0870.58078Khibnik, Alexander I.; Roose, Dirk; Chua, Leon O. 41 1993 Impulsive synchronization of chaotic Lur’e systems by measurement feedback. Zbl 0936.93027Suykens, J. A. K.; Yang, T.; Chua, L. O. 38 1998 Clarifying chaos: Examples and counterexamples. Zbl 0874.58038Brown, Ray; Chua, Leon O. 36 1996 Nonlinear \(H_\infty\) synchronization of chaotic Lur’e systems. Zbl 0967.93508Suykens, J. A. K.; Vandewalle, J.; Chua, L. O. 35 1997 Absolute stability theory and master-slave synchronization. Zbl 0911.93044Curran, 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 0732.34029Lum, Robert; Chua, Leon O. 34 1991 A universal circuit for studying and generating chaos. II: Strange attractors. Zbl 0844.58053Chua, Leon O.; Wu, Chai Wah; Huang, Anshan; Zhong, Guo-Qun 31 1993 Local activity is the origin of complexity. Zbl 1097.37058Chua, 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 1084.37011Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook 30 2005 Bifurcation and chaos in the simplest dissipative non-autonomous circuit. Zbl 0871.94055Murali, K.; Lakshmanan, M.; Chua, L. O. 30 1994 Impasse points. I: Numerical aspects. Zbl 0676.94022Chua, Leon O.; Deng, An-Chang 28 1989 Spiral waves on a 2-D away of nonlinear circuits. Zbl 0844.93056Pérez-Muñuzuri, Alberto; Pérez-Muñuzuri, Vicente; Pérez-Villar, Vicente; Chua, Leon O. 27 1993 Communication systems via chaotic signals from a reconstruction viewpoint. Zbl 0890.94007Itoh, 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 1043.37009Chua, Leon O.; Yoon, Sook; Dogaru, Radu 26 2002 Scenario of the birth of hidden attractors in the Chua circuit. Zbl 1379.34045Stankevich, Nataliya V.; Kuznetsov, Nikolay V.; Leonov, Gennady A.; Chua, Leon O. 25 2017 Master-slave synchronization using dynamic output feedback. Zbl 0925.93343Suykens, J. A. K.; Curran, P. F.; Chua, L. O. 24 1997 \(n\)-double scroll hypercubes in 1-D CNNs. Zbl 0907.58065Suykens, J. A. K.; Chua, L. O. 24 1997 Normal forms for nonlinear vector fields. I: Theory and algorithm. Zbl 0683.58021Chua, Leon O.; Kokubu, Hiroshi 24 1988 Edge of chaos and local activity domain of the Brusselator CNN. Zbl 0933.92018Dogaru, Radu; Chua, Leon O. 23 1998 A nonlinear dynamics perspective of Wolfram’s new kind of science. III: Predicting the unpredictable. Zbl 1091.37500Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook 23 2004 A nonlinear dynamics perspective of Wolfram’s new kind of science. II: Universal neuron. Zbl 1046.37004Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook 22 2003 Chaos via torus breakdown. Zbl 0637.94019Matsumoto, Takashi; Chua, Leon O.; Tokunaga, Ryuji 22 1987 Analytical foundations of Volterra series. Zbl 0668.93042Boyd, Stephen; Chua, L. O.; Desoer, C. A. 22 1984 Channel-independent chaotic secure communication. Zbl 1298.94112Yang, Tao; Chua, Leon O. 21 1996 Coexistence of low- and high-dimensional spatiotemporal chaos in a chain of dissipatively coupled Chua’s circuits. Zbl 0900.92015Zheleznyak, A. L.; Chua, L. O. 21 1994 Experimental observation of antimonotonicity in Chua’s circuit. Zbl 0894.58061Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O. 21 1993 Device modeling via basic nonlinear circuit elements. Zbl 0466.94031Chua, Leon O. 21 1980 Hodgkin-Huxley axon is made of memristors. Zbl 1270.94073Chua, Leon; Sbitnev, Valery; Kim, Hyongsuk 21 2012 Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits. Zbl 0963.34029Itoh, Makoto; Yang, Tao; Chua, Leon O. 20 1999 Spatiotemporal structures is discretely-coupled arrays of nonlinear circuits: A review. Zbl 0885.58085Muñuzuri, 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 0941.34507Panas, 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 0873.34046Kocarev, Ljupco; Shang, Alain; Chua, Leon O. 19 1993 Impasse points. II: Analytical aspects. Zbl 0676.94023Chua, 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 1140.37001Chua, 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 1146.37012Chua, Leon O.; Guan, Junbiao; Sbitnev, Valery I.; Shin, Jinwook 19 2007 Memristor Hamiltonian circuits. Zbl 1248.34064Itoh, Makoto; Chua, Leon O. 19 2011 Normal forms for nonlinear vector fields. II: Applications. Zbl 0702.58047Chua, Leon O.; Kokubu, Hiroshi 18 1989 On the complete stability of nonsymmetric cellular neural networks. Zbl 0952.94023Takahashi, Norikazu; Chua, Leon O. 17 1998 Nonlinear dynamics of a class of analog-to-digital converters. Zbl 0873.94034Feely, Orla; Chua, Leon O. 17 1992 Dynamic nonlinear networks: State-of-the-art. Zbl 0467.93031Chua, Leon O. 17 1980 Chaotic digital code-division multiple access (CDMA) communication systems. Zbl 1126.94304Yang, Tao; Chua, Leon O. 16 1997 Reality of chaos in the double scroll circuit: A computer-assisted proof. Zbl 0661.58019Matsumoto, Takashi; Chua, Leon O.; Ayaki, Kenichiro 16 1988 Stability analysis of generalized cellular neural networks. Zbl 0766.94024Guzelis, Cuneyt; Chua, Leon O. 16 1993 Cellular neural networks. Zbl 0692.34036Chua, Leon O.; Lin, Yang 16 1988 Canonical piecewise-linear analysis. Zbl 0504.94033Chua, 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 1151.37302Chua, Leon O.; Karacs, Kristof; Sbitev, Valery I.; Guan, Junbiao; Shin, Jinwook 16 2007 On the universe of stable cellular neural networks. Zbl 0775.92003Chua, Leon O.; Wu, Chai Wah 15 1992 Characterization and dynamics of pattern formation in cellular neural networks. Zbl 0881.92008Crounse, K. R.; Chua, L. O.; Thiran, P.; Setti, G. 15 1996 The effect of integrator leak in \(\sigma\)-\(\Delta\) modulation. Zbl 0739.94005Feely, Orla; Chua, Leon O. 15 1991 Global properties of continuous piecewise linear vector fields. II: Simplest symmetric case in \(\mathbb{R}{}^ 2\). Zbl 0745.34022Lum, Robert; Chua, Leon O. 15 1992 Measuring Volterra kernels. Zbl 0518.93058Boyd, Stephen; Tang, Y. S.; Chua, Leon O. 15 1983 Edge of chaos and local activity domain of the Gierer-Meinhardt CNN. Zbl 0936.92007Dogaru, Radu; Chua, Leon O. 14 1998 Universal CNN cells. Zbl 0986.92002Dogaru, Radu; Chua, Leon O. 14 1999 Controlling and synchronization of chaos in the simplest dissipative non-autonomous circuit. Zbl 0890.94046Murali, 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 0894.58043Kuznetsov, 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 1165.37314Ginoux, Jean-Marc; Rossetto, Bruno; Chua, Leon O. 14 2008 A nonlinear dynamics perspective of Wolfram’s new kind of science. V: Fractals everywhere. Zbl 1094.37500Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook 14 2005 Birth and death of the double scroll. Zbl 0631.58017Matsumoto, 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 1451.37002Chua, Leon O. 1 2021 Hearts are poised near the edge of chaos. Zbl 1448.92056Zhang, Xiaohong; Wu, Zhengze; Chua, Leon 1 2020 Theoretical foundations of memristor cellular nonlinear networks: stability analysis with dynamic memristors. Zbl 1468.94939Ascoli, Alon; Messaris, Ioannis; Tetzlaff, Ronald; Chua, Leon O. 1 2020 Theoretical foundations of memristor cellular nonlinear networks: memcomputing with bistable-like memristors. Zbl 1469.94245Tetzlaff, Ronald; Ascoli, Alon; Messaris, Ioannis; Chua, Leon O. 1 2020 Scenario of the birth of hidden attractors in the Chua circuit. Zbl 1379.34045Stankevich, 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 1360.34110Mannan, Zubaer Ibna; Choi, Hyuncheol; Rajamani, Vetriveeran; Kim, Hyongsuk; Chua, Leon 11 2017 Third-order memristive Morris-Lecar model of barnacle muscle fiber. Zbl 1366.34068Rajamani, Vetriveeran; Sah, Maheshwar Pd.; Mannan, Zubaer Ibna; Kim, Hyongsuk; Chua, Leon 6 2017 Dynamics of Hamiltonian systems and memristor circuits. Zbl 1362.37105Itoh, Makoto; Chua, Leon 3 2017 Chaotic oscillation via edge of chaos criteria. Zbl 1381.34061Itoh, Makoto; Chua, Leon 3 2017 Hidden bifurcations in the multispiral Chua attractor. Zbl 1357.34073Menacer, Tidjani; Lozi, René; Chua, Leon O. 7 2016 Parasitic effects on memristor dynamics. Zbl 1343.34113Itoh, Makoto; Chua, Leon O. 4 2016 Memristive model of the Barnacle giant muscle fibers. Zbl 1334.34106Sah, Maheshwar Pd.; Kim, Hyongsuk; Eroglu, Abdullah; Chua, Leon 3 2016 Design of a low-frequency oscillator with PTC Memristor and an inductor. Zbl 1345.34088Rajamani, Vetriveeran; Yang, Changju; Kim, Hyongsuk; Chua, Leon 1 2016 Oscillator made of only one memristor and one battery. Zbl 1314.94117Sah, Maheshwar Prasad; Mannan, Zubaer Ibna; Kim, Hyongsuk; Chua, Leon 8 2015 Neuron model with simplified memristive ionic channels. Zbl 1317.34104Hegab, Almoatazbellah M.; Salem, Noha M.; Radwan, Ahmed G.; Chua, Leon 3 2015 Dynamic behavior of coupled memristor circuits. Zbl 1468.94874Yu, Dongsheng; Iu, Herbert Ho-Ching; Liang, Yan; Fernando, Tyrone; Chua, Leon O. 2 2015 A generic model of memristors with parasitic components. Zbl 1468.94790Sah, Maheshwar Pd.; Yang, Changju; Kim, Hyongsuk; Muthuswamy, Bharathwaj; Jevtic, Jovan; Chua, Leon 1 2015 Memfractance: a mathematical paradigm for circuit elements with memory. Zbl 1301.94173Abdelouahab, Mohammed-Salah; Lozi, René; Chua, Leon 12 2014 Dynamics of memristor circuits. Zbl 1296.34124Itoh, Makoto; Chua, Leon O. 11 2014 Memristor networks. Zbl 1282.68053 6 2014 Resistance switching memories are memristors. Zbl 1283.94155Chua, Leon 4 2014 Memristor, Hodgkin-Huxley, and edge of chaos. Zbl 1283.94156Chua, Leon 4 2014 Transient behaviors of multiple memristor circuits based on flux charge relationship. Zbl 1287.34037Budhathoki, Ram Kaji; Sah, Maheshwar Prasad; Yang, Changju; Kim, Hyongsuk; Chua, Leon 4 2014 Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1283.68229Itoh, Makoto; Chua, Leon 2 2014 Cellular memristive dynamical systems (CMDS). Zbl 1296.37055Bavandpour, Mohammad; Soleimani, Hamid; Bagheri-Shouraki, Saeed; Ahmadi, Arash; Abbott, Derek; Chua, Leon O. 1 2014 Duality of memristor circuits. Zbl 1270.34126Itoh, Makoto; Chua, Leon O. 9 2013 Canards from Chua’s circuit. Zbl 1270.34124Ginoux, Jean-Marc; Llibre, Jaume; Chua, Leon O. 5 2013 Local activity principle. Zbl 1294.37001Mainzer, Klaus; Chua, Leon 4 2013 A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 6. Zbl 1278.37001Chua, Leon O. 2 2013 Hodgkin-Huxley axon is made of memristors. Zbl 1270.94073Chua, Leon; Sbitnev, Valery; Kim, Hyongsuk 21 2012 Memristor emulator for memristor circuit applications. Zbl 1468.94667Kim, 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 1262.37009Martínez, Genaro J.; Adamatzky, Andrew; Chen, Fangyue; Chua, Leon 4 2012 Neural synaptic weighting with a pulse-based memristor circuit. Zbl 1468.94668Kim, Hyongsuk; Sah, Maheshwar Pd.; Yang, Changju; Roska, Tamás; Chua, Leon O. 3 2012 The universe as automaton. From simplicity and symmetry to complexity. Zbl 1237.37002Mainzer, Klaus; Chua, Leon O. 3 2012 Phenomenology of retained refractoriness: on semi-memristive discrete media. Zbl 1258.68096Adamatzky, Andrew; Chua, Leon O. 1 2012 Memristor Hamiltonian circuits. Zbl 1248.34064Itoh, Makoto; Chua, Leon O. 19 2011 Memristive excitable cellular automata. Zbl 1258.68095Adamatzky, Andrew; Chua, Leon 2 2011 A nonlinear dynamic perspective of Wolfram’s new kind of science. XIII: Bernoulli \(\sigma_{\tau}\)-shift rules. Zbl 1196.37023Chua, Leon O.; Pazienza, Giovanni E. 7 2010 Topological analysis of chaotic solution of a three-element memristive circuit. Zbl 1208.34068Ginoux, 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 1202.37015Chua, Leon O.; Pazienza, Giovanni E. 3 2010 The Wolfram machine. Zbl 1208.68155Fortuna, Luigi; Frasca, Mattia; Fiore, Angelo Sarra; Chua, Leon O. 1 2010 Autoassociative memory cellular neural networks. Zbl 1204.68165Itoh, Makoto; Chua, Leon O. 1 2010 Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014Itoh, Makoto; Chua, Leon O. 73 2009 A nonlinear dynamics perspective of Wolfram’s new kind of science. XI: Period-2 rules. Zbl 1170.37302Chua, 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 1168.37300Chua, 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 1183.37021Chua, Leon O.; Pazienza, Giovanni E. 4 2009 Difference equations for cellular automata. Zbl 1167.68391Itoh, Makoto; Chua, Leon O. 2 2009 A nonlinear dynamics perspective of Wolfram’s new kind of science. Vol. 3. Zbl 1185.37017Chua, Leon O. 2 2009 Memristor oscillators. Zbl 1165.94300Itoh, Makoto; Chua, Leon O. 164 2008 Slow invariant manifolds as curvature of the flow of dynamical systems. Zbl 1165.37314Ginoux, Jean-Marc; Rossetto, Bruno; Chua, Leon O. 14 2008 The four-element Chua’s circuit. Zbl 1147.34328Barboza, Ruy; Chua, Leon O. 13 2008 A nonlinear dynamics perspective of Wolfram’s new kind of science. IX: Quasi-ergodicity. Zbl 1157.37300Chua, 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 1191.94166Szatmári, István; Chua, Leon O. 3 2008 Isles of Eden and the ZUK theorem in \(\mathbb{R}^d\). Zbl 1165.37304Garay, Barnabas M.; Chua, Leon O. 1 2008 Applications of local activity theory of CNN to controlled coupled Oregonator systems. Zbl 1165.37334Min, Lequan; Meng, Yan; Chua, Leon O. 1 2008 A nonlinear dynamics perspective of Wolfram’s new kind of science. VII: Isles of Eden. Zbl 1146.37012Chua, 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 1151.37302Chua, Leon O.; Karacs, Kristof; Sbitev, Valery I.; Guan, Junbiao; Shin, Jinwook 16 2007 Advanced image processing cellular neural networks. Zbl 1136.92303Itoh, Makoto; Chua, Leon O. 3 2007 A fast algorithm for representing continuous piecewise linear functions in closed form. Zbl 1141.26307Lum, Robert; Chua, Leon O. 2 2007 Oscillations on the edge of chaos via dissipation and diffusion. Zbl 1185.37060Itoh, 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 1140.37001Chua, 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 1095.37005Chua, Leon O. 9 2006 Complexity of reaction-diffusion CNN. Zbl 1185.37191Itoh, Makoto; Chua, Leon O. 6 2006 How to represent continuous piecewise linear functions in closed form. Zbl 1117.26013Lum, Robert; Chua, Leon O. 1 2006 Local activity is the origin of complexity. Zbl 1097.37058Chua, 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 1084.37011Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook 30 2005 A nonlinear dynamics perspective of Wolfram’s new kind of science. V: Fractals everywhere. Zbl 1094.37500Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook 14 2005 Image processing and self-organizing CNN. Zbl 1093.94500Itoh, Makoto; Chua, Leon O. 6 2005 A nonlinear dynamics perspective of Wolfram’s new kind of science. III: Predicting the unpredictable. Zbl 1091.37500Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook 23 2004 Time-delayed impulsive control of chaotic hybrid systems. Zbl 1129.93515Tian, Yu-Ping; Yu, Xinghuo; Chua, Leon O. 10 2004 Star cellular neural networks for associative and dynamic memories. Zbl 1129.37302Itoh, Makoto; Chua, Leon O. 10 2004 Structurally stable two-cell cellular neural networks. Zbl 1129.37311Itoh, Makoto; Chua, Leon O. 2 2004 A nonlinear dynamics perspective of Wolfram’s new kind of science. II: Universal neuron. Zbl 1046.37004Chua, Leon O.; Sbitnev, Valery I.; Yoon, Sook 22 2003 Equivalent CNN cell models and patterns. Zbl 1056.37014Itoh, Makoto; Chua, Leon O. 10 2003 Designing CNN genes. Zbl 1057.37009Itoh, Makoto; Chua, Leon O. 7 2003 Simplicial RTD-based cellular nonlinear networks. Zbl 1368.94187Julián, 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 1043.37009Chua, Leon O.; Yoon, Sook; Dogaru, Radu 26 2002 Local activity criteria for discrete-map CNN. Zbl 1051.82518Sbitnev, Valery I.; Chua, Leon O. 5 2002 Reconstruction and synchronization of hyperchaotic circuits via one state variable. Zbl 1046.94019Itoh, Makoto; Chua, Leon O. 4 2002 Replication properties of parity cellular automata. Zbl 1044.37009Julián, Pedro; Chua, Leon O. 4 2002 CNN dynamics represents a broader class than PDEs. Zbl 1051.34037Gilli, 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 1003.68137Kim, Hyongsuk; Son, Hongrak; Roska, Tamás; Chua, Leon O. 2 2002 Methods of qualitative theory in nonlinear dynamics. II. Zbl 1046.34003Shilnikov, L. P.; Shilnikov, A. L.; Turaev, D. V.; Chua, Leon O. 100 2001 Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520Itoh, Makoto; Yang, Tao; Chua, Leon O. 66 2001 RTD-based cellular neural networks with multiple steady states. Zbl 1091.34531Itoh, Makoto; Julián, Pedro; Chua, Leon O. 8 2001 Testing for local activity and edge of chaos. Zbl 1090.92503Yang, Tao; Chua, Leon O. 7 2001 The local activity criteria for “difference-equation” CNN. Zbl 1090.39505Sbitnev, Valery I.; Yang, Tao; Chua, Leon O. 6 2001 Chaos and complexity. Zbl 1090.37514Brown, Ray; Berezdivin, Robert; Chua, Leon O. 3 2001 Cellular neural networks based on resonant tunnelling diodes. Zbl 1063.68083Hänggi, Martin; Chua, Leon O. 3 2001 Analytical criteria for local activity and applications to the Oregonator CNN. Zbl 1089.92503Min, 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 1090.37568Min, Lequan; Crounse, Kenneth R.; Chua, Leon O. 12 2000 Impulsive control and synchronization of chaos. Zbl 0961.93023Suykens, J. A. K.; Yang, T.; Vandewalle, J.; Chua, L. O. 3 2000 Piecewise-linear chaotic systems with a single equilibrium point. Zbl 0982.37020Yang, Tao; Chua, Leon O. 1 2000 Slow manifolds of some chaotic systems with applications to laser systems. Zbl 0978.37017Ramdani, 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 1090.37503Dogaru, Radu; Chua, Leon O. 1 2000 Robust synthesis for master-slave synchronization of Lur’e systems. Zbl 1055.93549Suykens, Johan A. K.; Curran, Paul F.; Chua, Leon O. 71 1999 Passivity and complexity. Zbl 0948.92002Chua, Leon O. 59 1999 Generalized synchronization of chaos via linear transformations. Zbl 0937.37019Yang, Tao; Chua, Leon O. 55 1999 Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits. Zbl 0963.34029Itoh, Makoto; Yang, Tao; Chua, Leon O. 20 1999 ...and 230 more Documents all cited Publications top 5 cited Publications 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. 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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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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