International Journal of Bifurcation and Chaos in Applied Sciences and Engineering Short Title: Int. J. Bifurcation Chaos Appl. Sci. Eng. Publisher: World Scientific, Singapore ISSN: 0218-1274; 1793-6551/e Online: https://www.worldscientific.com/loi/ijbc Documents Indexed: 6,310 Publications (since 1991) References Indexed: 5,425 Publications with 145,342 References. all top 5 Latest Issues 32, No. 5 (2022) 32, No. 4 (2022) 32, No. 3 (2022) 32, No. 2 (2022) 32, No. 1 (2022) 31, No. 16 (2021) 31, No. 15 (2021) 31, No. 14 (2021) 31, No. 13 (2021) 31, No. 12 (2021) 31, No. 11 (2021) 31, No. 10 (2021) 31, No. 9 (2021) 31, No. 8 (2021) 31, No. 7 (2021) 31, No. 6 (2021) 31, No. 5 (2021) 31, No. 4 (2021) 31, No. 3 (2021) 31, No. 2 (2021) 31, No. 1 (2021) 30, No. 16 (2020) 30, No. 15 (2020) 30, No. 14 (2020) 30, No. 13 (2020) 30, No. 12 (2020) 30, No. 11 (2020) 30, No. 10 (2020) 30, No. 9 (2020) 30, No. 8 (2020) 30, No. 7 (2020) 30, No. 6 (2020) 30, No. 5 (2020) 30, No. 4 (2020) 30, No. 3 (2020) 30, No. 2 (2020) 30, No. 1 (2020) 29, No. 14 (2019) 29, No. 13 (2019) 29, No. 12 (2019) 29, No. 11 (2019) 29, No. 10 (2019) 29, No. 9 (2019) 29, No. 8 (2019) 29, No. 7 (2019) 29, No. 6 (2019) 29, No. 5 (2019) 29, No. 4 (2019) 29, No. 3 (2019) 29, No. 2 (2019) 29, No. 1 (2019) 28, No. 14 (2018) 28, No. 13 (2018) 28, No. 12 (2018) 28, No. 11 (2018) 28, No. 10 (2018) 28, No. 9 (2018) 28, No. 8 (2018) 28, No. 7 (2018) 28, No. 6 (2018) 28, No. 5 (2018) 28, No. 4 (2018) 28, No. 3 (2018) 28, No. 2 (2018) 28, No. 1 (2018) 27, No. 14 (2017) 27, No. 13 (2017) 27, No. 12 (2017) 27, No. 11 (2017) 27, No. 10 (2017) 27, No. 9 (2017) 27, No. 8 (2017) 27, No. 7 (2017) 27, No. 6 (2017) 27, No. 5 (2017) 27, No. 4 (2017) 27, No. 3 (2017) 27, No. 2 (2017) 27, No. 1 (2017) 26, No. 14 (2016) 26, No. 13 (2016) 26, No. 12 (2016) 26, No. 11 (2016) 26, No. 10 (2016) 26, No. 9 (2016) 26, No. 8 (2016) 26, No. 7 (2016) 26, No. 6 (2016) 26, No. 5 (2016) 26, No. 4 (2016) 26, No. 3 (2016) 26, No. 2 (2016) 26, No. 1 (2016) 25, No. 14 (2015) 25, No. 13 (2015) 25, No. 12 (2015) 25, No. 11 (2015) 25, No. 10 (2015) 25, No. 9 (2015) 25, No. 8 (2015) ...and 260 more Volumes all top 5 Authors 175 Chua, Leon Ong 168 Chen, Guanrong 88 Li, Jibin 74 Llibre, Jaume 55 Yu, Pei 52 Han, Maoan 49 Sprott, Julien Clinton 46 Jafari, Sajad 42 Kurths, Jürgen 39 Aihara, Kazuyuki 39 Mira, Christian 34 Gardini, Laura 33 Itoh, Makoto 32 Yang, Xiaosong 31 Luo, Albert C. J. 31 Zhang, Wei 30 Sanjuán, Miguel A. F. 28 Pham, Viet-Thanh 26 Kapitaniak, Tomasz 25 Fortuna, Luigi 25 Lakshmanan, Muthusamy 24 Grassi, Giuseppe 24 Grebogi, Celso 23 Wei, Junjie 21 Billings, Stephen A. 21 Feng, Zhaosheng 21 Freire Macías, Emilio 21 Mees, Alistair I. 21 Ponce, Enrique 21 Tse, Chi Kong 21 Wiggins, Stephen 21 Xu, Wei 20 Awrejcewicz, Jan 20 Frasca, Mattia 20 Holden, Arun V. 20 Lu, Jinhu 20 Stewart, Ian Nicholas 19 Danca, Marius-Florin 19 Yu, Simin 18 Adamatzky, Andrew I. 18 Ma, Junhai 18 Moiola, Jorge Luis 18 Pérez-Muñuzuri, Vicente 18 Velarde, Manuel G. 18 Yang, Qigui 18 Zhou, Tianshou 17 Anishchenko, Vadim Semenovich 17 Balibrea, Francisco 17 Cao, Jinde 17 Chen, Fangyue 17 Li, Chunbiao 17 Liao, Xiaofeng 17 Parlitz, Ulrich 17 Rajagopal, Karthikeyan 17 Zhang, Tonghua 16 Bountis, Tassos C. 16 Guo, Shangjiang 16 Kawakami, Hiroshi 16 Leonov, Gennadiĭ Alekseevich 16 Liu, Yirong 16 Min, Lequan 16 Pérez-Villar, Vicente 16 Rodríguez-Luis, Alejandro J. 15 Algaba, Antonio 15 Avrutin, Viktor 15 Bashkirtseva, Irina Adol’fovna 15 Bi, Qinsheng 15 Brown, Ray 15 Doedel, Eusebius J. 15 Fournier-Prunaret, Danièle 15 Kim, Hyongsuk 15 Kocarev, Ljupco 15 Li, Changpin 15 Mosekilde, Erik 15 Rinaldi, Sergio 15 Ryashko, Lev Borisovich 15 Sbitnev, Valery I. 15 Ueta, Tetsushi 15 Wei, Zhouchao 15 Yang, Tao 15 Zhao, Yi 14 Bao, Bocheng 14 Bollt, Erik M. 14 Cafagna, Donato 14 Chen, Fengjuan 14 Kuznetsov, Nikolay Vladimirovich 14 Lai, Yingcheng 14 Liu, Zhong 14 Nazarimehr, Fahimeh 14 Nekorkin, Vladimir I. 14 Starkov, Konstantin E. 14 Wu, Xinxing 14 Xu, Jian 13 Afraimovich, Valentin S. 13 Andres, Jan 13 Barbé, André M. 13 Bilotta, Eleonora 13 Buscarino, Arturo 13 Chen, Goong 13 Hong, Ling ...and 7,827 more Authors all top 5 Fields 3,320 Dynamical systems and ergodic theory (37-XX) 2,638 Ordinary differential equations (34-XX) 1,207 Biology and other natural sciences (92-XX) 758 Information and communication theory, circuits (94-XX) 592 Systems theory; control (93-XX) 522 Partial differential equations (35-XX) 459 Mechanics of particles and systems (70-XX) 294 Computer science (68-XX) 223 Numerical analysis (65-XX) 188 Fluid mechanics (76-XX) 175 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 174 Statistical mechanics, structure of matter (82-XX) 141 Difference and functional equations (39-XX) 127 Mechanics of deformable solids (74-XX) 109 Optics, electromagnetic theory (78-XX) 103 Statistics (62-XX) 84 Operations research, mathematical programming (90-XX) 73 Probability theory and stochastic processes (60-XX) 67 Measure and integration (28-XX) 54 Geophysics (86-XX) 44 Quantum theory (81-XX) 43 Global analysis, analysis on manifolds (58-XX) 40 Operator theory (47-XX) 38 Classical thermodynamics, heat transfer (80-XX) 36 General and overarching topics; collections (00-XX) 33 General topology (54-XX) 32 Combinatorics (05-XX) 31 Real functions (26-XX) 21 Functions of a complex variable (30-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Number theory (11-XX) 16 Manifolds and cell complexes (57-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Astronomy and astrophysics (85-XX) 10 Differential geometry (53-XX) 9 History and biography (01-XX) 9 Approximations and expansions (41-XX) 9 Integral equations (45-XX) 7 Mathematical logic and foundations (03-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Special functions (33-XX) 7 Relativity and gravitational theory (83-XX) 5 Nonassociative rings and algebras (17-XX) 5 Integral transforms, operational calculus (44-XX) 5 Convex and discrete geometry (52-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 4,689 Publications have been cited 38,141 times in 19,076 Documents Cited by ▼ Year ▼ Yet another chaotic attractor. Zbl 0962.37013Chen, Guanrong; Ueta, Tetsushi 844 1999 A new chaotic attractor coined. Zbl 1063.34510Lü, Jinhu; Chen, Guanrong 590 2002 Neural excitability, spiking and bursting. Zbl 1090.92505Izhikevich, Eugene M. 314 2000 Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026Li, Jibin 304 2003 Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej 295 2002 Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. Zbl 1270.34003Leonov, G. A.; Kuznetsov, N. V. 236 2013 One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A. 236 2003 Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443Rowley, C. W. 172 2005 Complexity and real computation: A manifesto. Zbl 0872.68036Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve 160 1996 Memristor oscillators. Zbl 1165.94300Itoh, Makoto; Chua, Leon O. 159 2008 Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038Lü, Jinhu; Chen, Guanrong 153 2006 Attractors for lattice dynamical systems. Zbl 1091.37515Bates, Peter W.; Lu, Kening; Wang, Bixiang 144 2001 Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 140 1991 On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023Čelikovský, Sergej; Chen, Guanrong 140 2002 Bifurcation analysis of Chen’s equation. Zbl 1090.37531Ueta, Tetsushi; Chen, Guanrong 134 2000 Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065Freire, Emilio; Ponce, Enrique; Rodrigo, Francisco; Torres, Francisco 124 1998 A new chaotic system and beyond: the generalized Lorenz-like system. Zbl 1129.37323Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan 123 2004 Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088Alvarez, Gonzalo; Li, Shujun 123 2006 Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060Nusse, Helena E.; Yorke, James A. 122 1995 Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019Fridrich, Jiri 118 1998 Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U. 117 1992 Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561Wang, Xiao Fan 112 2002 Simple chaotic flows with one stable equilibrium. Zbl 1284.34064Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi 110 2013 The spatial dilemmas of evolution. Zbl 0870.92011Nowak, Martin A.; May, Robert M. 106 1993 A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004Wu, Chai Wah; Chua, Leon O. 105 1993 A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445Wu, Chai Wah; Chua, Leon O. 104 1994 On a class of singular nonlinear traveling wave equations. Zbl 1158.35080Li, Jibin; Chen, Guanrong 103 2007 Riddled basins. Zbl 0870.58046Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I. 101 1992 Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506Chen, Guanrong; Zhou, Jin; Liu, Zengrong 101 2004 Implementing memristor based chaotic circuits. Zbl 1193.94082Muthuswamy, Bharathwaj 95 2010 Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 93 1991 Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015Jiao, Feng; Zhou, Yong 90 2012 From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076Chen, Guanrong; Dong, Xiaoning 88 1993 Dynamical analysis of a new chaotic attractor. Zbl 1044.37021Lü, Jinhu; Chen, Guanrong; Zhang, Suochun 87 2002 Time-varying linearization and the Perron effects. Zbl 1142.34033Leonov, G. A.; Kuznetsov, N. V. 87 2007 Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111Li, Chunbiao; Sprott, J. C. 86 2014 Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay. Zbl 1378.92012Wang, Zhen; Wang, Xiaohong; Li, Yuxia; Huang, Xia 84 2017 Transmission of digital signals by chaotic synchronization. Zbl 0870.94011Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A. 83 1992 A survey of methods for computing (un)stable manifolds of vector fields. Zbl 1086.34002Krauskopf, B.; Osinga, H. M.; Doedel, E. J.; Henderson, M. E.; Guckenheimer, J.; Vladimirsky, A.; Dellnitz, M.; Junge, O. 81 2005 Bifurcation control: theories, methods, and applications. Zbl 1090.37552Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O. 80 2000 Families of scroll grid attractors. Zbl 1044.37029Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar 79 2002 A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306Yang, Qigui; Chen, Guanrong 78 2008 Feedback anticontrol of discrete chaos. Zbl 0941.93522Chen, Guanrong; Lai, Dejian 76 1998 Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082Liu, Xia; Han, Maoan 72 2010 Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319Abrams, Daniel M.; Strogatz, Steven H. 70 2006 Sliding bifurcations: a novel mechanism for the sudden onset of chaos in dry friction oscillators. Zbl 1099.70504di Bernardo, M.; Kowalczyk, P.; Nordmark, A. 69 2003 Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014Itoh, Makoto; Chua, Leon O. 69 2009 A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B. 68 1996 New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026Cafagna, Donato; Grassi, Giuseppe 67 2003 Chen’s attractor exists. Zbl 1129.37326Zhou, Tianshou; Tang, Yun; Chen, Guanrong 65 2004 Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E. 65 2007 Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030Champneys, A. R.; Kuznetsov, Yu. A. 64 1994 Nonlinear time sequence analysis. Zbl 0874.58029Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten 64 1991 Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming 63 2000 Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037Kapitaniak, Tomasz; Chua, Leon O. 63 1994 On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182Wu, Chai Wah; Yang, Tao; Chua, Leon O. 62 1996 Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054Han, Maoan; Yang, Junmin; Yu, Pei 62 2009 Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520Itoh, Makoto; Yang, Tao; Chua, Leon O. 61 2001 Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374Yang, Tao; Chua, Leon O. 60 1997 Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A. 60 2004 Steps toward unmasking secure communications. Zbl 0875.94002Short, Kevin M. 59 1994 A new chaotic system and its generators. Zbl 1078.37504Liu, Wenbo; Chen, Guanrong 59 2003 Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D. 59 1998 Pinning impulsive stabilization of nonlinear dynamical networks with time-varying delay. Zbl 1270.92006Lu, Jianquan; Wang, Zidong; Cao, Jinde; Ho, Daniel W. C.; Kurths, Jürgen 56 2012 Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157Chen, Guanrong; Lai, Dejian 56 1996 Absolute stability theory and the synchronization problem. Zbl 0910.34054Curran, P. F.; Chua, L. O. 56 1997 An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091Yang, Qigui; Wei, Zhouchao; Chen, Guanrong 56 2010 Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O. 55 1993 Complex dynamical behaviors of the chaotic Chen’s system. Zbl 1046.37018Zhou, Tianshou; Tang, Yun; Chen, Guanrong 55 2003 Stability and Hopf bifurcation of a delayed prey-predator model with disease in the predator. Zbl 1425.34093Huang, Chuangxia; Zhang, Hua; Cao, Jinde; Hu, Haijun 54 2019 Monodromy and stability for nilpotent critical points. Zbl 1088.34021Álvarez, M. J.; Gasull, A. 54 2005 A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509Mao, Yaobin; Chen, Guanrong; Lian, Shiguo 54 2004 More spatial games. Zbl 0884.90147Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M. 53 1994 Chaos of travelling waves in a discrete chain of diffusively coupled maps. Zbl 0870.58049Afraimovich, V. S.; Nekorkin, V. I. 53 1994 Local bifurcations of the Chen system. Zbl 1047.34044Lü, Jinhu; Zhou, Tianshou; Chen, Guanrong; Zhang, Suochun 53 2002 Generalized synchronization of chaos via linear transformations. Zbl 0937.37019Yang, Tao; Chua, Leon O. 53 1999 Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090Sushko, Iryna; Gardini, Laura 53 2010 Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015Li, Chunbiao; Sprott, Julien Clinton 52 2014 Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072Shil’nikov, Leonid P. 52 1994 Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509Liao, Xiaoxin; Chen, Guanrong 52 2003 Recent developments in dynamical systems: three perspectives. Zbl 1202.37003Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. 52 2010 Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille 52 2010 Lévy flight superdiffusion: an introduction. Zbl 1157.82300Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V. 51 2008 An adaptive approach to the control and synchronization of continuous-time chaotic systems. Zbl 0900.70413Di Bernardo, Mario 51 1996 Finite difference methods for fractional differential equations. Zbl 1258.34018Li, Changpin; Zeng, Fanhai 51 2012 Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto 50 1992 Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364Shilnikov, Andrey; Kolomiets, Marina 49 2008 Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong 49 2014 Hidden hyperchaotic attractors in a modified Lorenz-Stenflo system with only one stable equilibrium. Zbl 1302.34017Wei, Zhouchao; Zhang, Wei 48 2014 Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D. 48 2005 A unified Lorenz-type system and its canonical form. Zbl 1185.37088Yang, Qigui; Chen, Guangrong; Zhou, Tianshou 48 2006 CNN: A vision of complexity. Zbl 0901.68138Chua, Leon O. 47 1997 The response of a nonlinear system with a nonsemisimple one-to-one resonance to a combination parametric resonance. Zbl 0919.73156Chin, C.; Nayfeh, A. H.; Mook, D. T. 47 1995 Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031Gasull, Armengol; Torregrosa, Joan 47 2003 Classification of chaos in 3-D autonomous quadratic systems. I. Basic framework and methods. Zbl 1185.37092Zhou, Tianshou; Chen, Guangrong 47 2006 Spread spectrum communication through modulation of chaos. Zbl 0870.94002Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O. 46 1993 Normal forms and Lorenz attractors. Zbl 0885.58080Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V. 46 1993 Deterministic chaos seen in terms of feedback circuits: analysis, synthesis, “labyrinth chaos”. Zbl 1089.37512Thomas, R. 46 1999 Peakons and their bifurcation in a generalized Camassa-Holm equation. Zbl 1090.37554Liu, Zhengrong; Qian, Tifei 46 2001 Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524Yu, P.; Han, M. 46 2005 A unified chaotic system with various coexisting attractors. Zbl 1462.37041Lai, Qiang 5 2021 Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 1461.35031Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong 5 2021 Coexisting infinite equilibria and chaos. Zbl 1469.34060Li, Chunbiao; Peng, Yuxuan; Tao, Ze; Sprott, Julien Clinton; Jafari, Sajad 4 2021 The generalization of the periodic orbit dividing surface in Hamiltonian systems with three or more degrees of freedom. I. Zbl 1479.37085Katsanikas, Matthaios; Wiggins, Stephen 3 2021 Global dynamics of a Holling-II amensalism system with nonlinear growth rate and Allee effect on the first species. Zbl 1460.92173Luo, Demou; Wang, Qiru 3 2021 Minimal universal model for chaos in laser with feedback. Zbl 1464.37088Meucci, Riccardo; Euzzor, Stefano; Tito Arecchi, F.; Ginoux, Jean-Marc 3 2021 Torus-breakdown near a heteroclinic attractor: a case study. Zbl 1479.37052Castro, Luísa; Rodrigues, Alexandre 2 2021 Extreme multistability and antimonotonicity in a Shinriki oscillator with two flux-controlled memristors. Zbl 1478.34060Min, Fuhong; Cheng, Yizi; Lu, Lei; Li, Xinya 2 2021 The generalization of the periodic orbit dividing surface for Hamiltonian systems with three or more degrees of freedom – II. Zbl 1481.37070Katsanikas, Matthaios; Wiggins, Stephen 2 2021 Planar Kolmogorov systems coming from spatial Lotka-Volterra systems. Zbl 07414124Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 2 2021 Complex dynamics and periodic oscillation mechanism in two novel gene expression models with state-dependent delays. Zbl 1481.34098Wang, Shuo; Pei, Lijun 2 2021 Dynamics of a food chain model with two infected predators. Zbl 1459.92160Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng 2 2021 Rare energy-conservative attractors on global invariant hypersurfaces and their multistability. Zbl 1465.34019Hu, Jianbing; Qi, Guoyuan; Wang, Ze; Chen, Guanrong 2 2021 Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state bifurcation. Zbl 07443112Katsanikas, M.; Agaoglou, M.; Wiggins, S. 2 2021 Bifurcation analysis of a delay-induced predator-prey model with Allee effect and prey group defense. Zbl 1471.92274Ye, Yong; Zhao, Yi 1 2021 Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. Zbl 07395176Ke, Ai; Han, Maoan 1 2021 Synchronization and pattern formation in a memristive diffusive neuron model. Zbl 1471.92078Sharma, Sanjeev Kumar; Mondal, Arnab; Mondal, Argha; Upadhyay, Ranjit Kumar; Ma, Jun 1 2021 Nonlinear stability of equilibrium points in the planar equilateral restricted mass-unequal four-body problem. Zbl 1477.70019Zepeda Ramírez, José Alejandro; Alvarez-Ramírez, Martha; García, Antonio 1 2021 The bifurcations of the critical points and the role of depth in a symmetric Caldera potential energy surface. Zbl 1481.37056Geng, Y.; Katsanikas, M.; Agaoglou, M.; Wiggins, S. 1 2021 Dynamics of a DC motor-driving arm with a circular periodic potential and DC/AC voltage input. Zbl 1477.70005Kouam Tagne, R. F.; Fotsa, R. Tsapla; Woafo, P. 1 2021 Coexisting infinitely many nonchaotic attractors in a memristive weight-based tabu learning neuron. Zbl 1480.34061Hou, Liping; Bao, Han; Xu, Quan; Chen, Mo; Bao, Bocheng 1 2021 Breaking the symmetry in queues with delayed information. Zbl 1470.90023Doldo, Philip; Pender, Jamol; Rand, Richard 1 2021 Chaotic dynamics of partial difference equations with polynomial maps. Zbl 1471.39015Guo, Haihong; Liang, Wei 1 2021 Limit cycles in discontinuous planar piecewise linear systems separated by a nonregular line of center-center type. Zbl 1479.34061Zhao, Qianqian; Wang, Cheng; Yu, Jiang 1 2021 Quasiperiodic-chaotic neural networks and short-term analog memory. Zbl 1462.37101Ichinose, Natsuhiro 1 2021 Spatiotemporal complexity analysis for a space-time discrete generalized toxic-phytoplankton-zooplankton model with self-diffusion and cross-diffusion. Zbl 1459.37091Zhong, Shihong; Wang, Jinliang; Bao, Junhua; Li, You; Jiang, Nan 1 2021 Recurrent misconceptions in the study of CA reversibility on triangular grids. Zbl 07321545Wolnik, Barbara; Dziemiańczuk, Maciej; De Baets, Bernard 1 2021 Presence of megastability and infinitely many equilibria in a periodically and quasi-periodically excited single-link manipulator. Zbl 1469.34068Singh, Jay Prakash; Koley, Jit; Lochan, Kshetrimayum; Roy, Binoy Krishna 1 2021 Quadratic differential systems with a finite saddle-node and an infinite saddle-node \((1,1)SN\)-(A). Zbl 1477.34054Artés, Joan C.; Mota, Marcos C.; Rezende, Alex C. 1 2021 Topological equivalence classification of balanced linearly separable Boolean functions on \(n\)-dimensional hypercube. Zbl 07321565He, Qinbin; Chen, Fangyue; Jin, Wei 1 2021 Nonlinear phenomena in axially moving beams with speed-dependent tension and tension-dependent speed. Zbl 1462.74078Chen, Ling; Tang, You-Qi; Liu, Shuang; Zhou, Yuan; Liu, Xing-Guang 1 2021 Evolutionary dynamics of cooperation in a corrupt society with anti-corruption control. Zbl 1460.91207Liu, Linjie; Chen, Xiaojie 1 2021 Effect of a mode of update on universality class for coupled logistic maps: directed Ising to Ising class. Zbl 1467.82044Deshmukh, Ankosh D.; Shambharkar, Nitesh D.; Gade, Prashant M. 1 2021 Complex dynamics of an eco-epidemic system with disease in prey species. Zbl 1460.92180Shaikh, Absos Ali; Das, Harekrishna; Ali, Nijamuddin 1 2021 Bifurcations in a predator-prey model of Leslie-type with simplified Holling type IV functional response. Zbl 1458.92071Zhang, Jun; Su, Juan 1 2021 Stability and bifurcation in an SI epidemic model with additive Allee effect and time delay. Zbl 1460.92211Lv, Yangyang; Chen, Lijuan; Chen, Fengde; Li, Zhong 1 2021 A new memristive chaotic system with a plane and two lines of equilibria. Zbl 1469.34070Wang, Zhen; Khalaf, Abdul Jalil M.; Jafari, Sajad; Panahi, Shirin; Li, Chunbiao; Hussain, Iqtadar 1 2021 Complex dynamics of a Filippov three-species food chain model. Zbl 1469.37060Hamdallah, Soliman A. A.; Arafa, Ayman A.; Tang, Sanyi; Xu, Yong 1 2021 Effect of self feedback on mean-field coupled oscillators: revival and quenching of oscillations. Zbl 1467.93108Chakraborty, Saumen; Dandapathak, Manaj; De Sarkar, Saumendra Sankar 1 2021 Two-dimensional manifolds of controlled Chen system. Zbl 1467.93151Ma, Suqi 1 2021 Complex bursting patterns in a van der Pol-Mathieu-Duffing oscillator. Zbl 1469.34054Ma, Xindong; Song, Jin; Wei, Mengke; Han, Xiujing; Bi, Qinsheng 1 2021 Global dynamics of an ecosystem in open advective environments. Zbl 1466.92232Nie, Hua; Liu, Chenrui; Wang, Zhiguo 1 2021 Stochastic simulation on a minimal model of cancer immunoediting theory. Zbl 1462.92028Núñez-López, Mayra; Hernández-López, Eymard; Delgado, Joaquín 1 2021 Complexity and control of multichannel supply chain under carbon tax policy. Zbl 1466.90014Tian, Yi; Ma, Junhai; Wang, Zongxian; Xie, Lei 1 2021 Fast-slow variable dissection with two slow variables: a case study on bifurcations underlying bursting for seizure and spreading depression. Zbl 1466.92038Ma, Kaihua; Gu, Huaguang; Zhao, Zhiguo 1 2021 Dynamics of infectious diseases: local versus global awareness. Zbl 1471.34102Tiwari, Pankaj Kumar; Rai, Rajanish Kumar; Misra, Arvind Kumar; Chattopadhyay, Joydev 1 2021 Analysis of geometric invariants for three types of bifurcations in 2D differential systems. Zbl 1471.34070Liu, Yongjian; Li, Chunbiao; Liu, Aimin 1 2021 Controlling infectious diseases: the decisive phase effect on a seasonal vaccination strategy. Zbl 1478.92114Duarte, Jorge; Januário, Cristina; Martins, Nuno; Seoane, Jesús M.; Sanjuán, Miguel A. F. 1 2021 Analysis and modeling of nonlinear effects in constant-frequency peak-current control. Zbl 1478.93438Glišić, Marija; Pejović, Predrag 1 2021 Stability and bifurcation in a predator-prey system with prey-taxis. Zbl 1435.35395Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi 16 2020 Hopf bifurcation for semilinear FDEs in general Banach spaces. Zbl 1447.35038Li, Shangzhi; Guo, Shangjiang 11 2020 Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type. Zbl 1478.34037Wang, Jiafu; He, Su; Huang, Lihong 11 2020 Tilting and squeezing: phase space geometry of Hamiltonian saddle-node bifurcation and its influence on chemical reaction dynamics. Zbl 1442.37069García-Garrido, Víctor J.; Naik, Shibabrat; Wiggins, Stephen 11 2020 Global dynamics of a Lotka-Volterra competition diffusion system with nonlocal effects. Zbl 1439.35267Han, Bang-Sheng; Yang, Yinghui; Bo, Wei-Jian; Tang, Huiling 10 2020 Four-wing hidden attractors with one stable equilibrium point. Zbl 1446.34023Deng, Quanli; Wang, Chunhua; Yang, Linmao 10 2020 Patterns in a modified Leslie-Gower model with Beddington-DeAngelis functional response and nonlocal prey competition. Zbl 1446.35220Gao, Jianping; Guo, Shangjiang 9 2020 Dynamic pricing game under different channel power structures in a closed-loop supply chain. Zbl 1443.91015Ma, Junhai; Zhang, Fang; Jiang, Hui 9 2020 An asymmetric image encryption algorithm based on a fractional-order chaotic system and the RSA public-key cryptosystem. Zbl 1459.94151Ye, Guodong; Jiao, Kaixin; Wu, Huishan; Pan, Chen; Huang, Xiaoling 8 2020 A new 4D four-wing memristive hyperchaotic system: dynamical analysis, electronic circuit design, shape synchronization and secure communication. Zbl 1450.37094Yu, Fei; Qian, Shuai; Chen, Xi; Huang, Yuanyuan; Liu, Li; Shi, Changqiong; Cai, Shuo; Song, Yun; Wang, Chunhua 7 2020 High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. Zbl 1436.34035Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. 7 2020 Memristor synapse-based Morris-Lecar model: bifurcation analyses and FPGA-based validations for periodic and chaotic bursting/spiking firings. Zbl 1441.34054Bao, Han; Zhu, Dong; Liu, Wenbo; Xu, Quan; Chen, Mo; Bao, Bocheng 7 2020 Bifurcations of negative responses to positive feedback current mediated by memristor in a neuron model with bursting patterns. Zbl 1446.34069Wu, Fuqiang; Gu, Huaguang 7 2020 The mean sensitivity and mean equicontinuity in uniform spaces. Zbl 1448.37012Wu, Xinxing; Liang, Shudi; Ma, Xin; Lu, Tianxiu; Ahmadi, Seyyed Alireza 6 2020 Rich bifurcation structure of prey-predator model induced by the Allee effect in the growth of generalist predator. Zbl 1446.34067Sen, Deeptajyoti; Petrovskii, Sergei; Ghorai, S.; Banerjee, Malay 5 2020 The proto-Lorenz system in its chaotic fractional and fractal structure. Zbl 1452.37086Doungmo Goufo, Emile Franc 5 2020 A new route to strange nonchaotic attractors in an interval map. Zbl 07192276Zhang, Yongxiang; Shen, Yunzhu 5 2020 Detection of dynamical matching in a Caldera Hamiltonian system using Lagrangian descriptors. Zbl 1460.37076Katsanikas, Matthaios; García-Garrido, Víctor J.; Wiggins, S. 4 2020 An extension of discrete Lagrangian descriptors for unbounded maps. Zbl 1445.37059García-Garrido, Víctor J. 4 2020 Period-bubbling transition to chaos in thermo-viscoelastic fluid systems. Zbl 1446.34065Layek, G. C.; Pati, N. C. 4 2020 A dynamic duopoly game with content providers’ bounded rationality. Zbl 1447.91064Garmani, Hamid; Omar, Driss Ait; El Amrani, Mohamed; Baslam, Mohamed; Jourhmane, Mostafa 4 2020 Turing pattern induced by cross-diffusion in a predator-prey model with pack predation-herd behavior. Zbl 1448.92257Yang, Jingen; Zhang, Tonghua; Yuan, Sanling 4 2020 Extreme multistability and complex dynamics of a memristor-based chaotic system. Zbl 1448.34097Chang, Hui; Li, Yuxia; Chen, Guanrong; Yuan, Fang 4 2020 Hamiltonian-based energy analysis for brushless DC motor chaotic system. Zbl 1448.37063Faradja, Philippe; Qi, Guoyuan 4 2020 Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in \(\mathbb{C}^2\). Zbl 1446.34001Giné, Jaume; Llibre, Jaume 4 2020 Dynamic evolution, synchronization and multistability in an advertising game model with homogeneous products and spillover effect. Zbl 1448.37130Wang, Wenrui; Zhou, Wei; Xia, Libin 3 2020 Stability and Turing patterns in a predator-prey model with hunting cooperation and Allee effect in prey population. Zbl 1448.92249Song, Danxia; Song, Yongli; Li, Chao 3 2020 High-order analysis of canard explosion in the Brusselator equations. Zbl 1447.34023Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J. 3 2020 Stability analysis and bifurcation control of a delayed incommensurate fractional-order gene regulatory network. Zbl 1446.34101Liu, Feng; Dong, Ting; Guan, Zhi-Hong; Wang, Hua O. 3 2020 Overcoming oscillation quenching via mean-field feedback. Zbl 1446.34095Zhao, Nannan; Sun, Zhongkui 3 2020 Turing instability and pattern formation in a strongly coupled diffusive predator-prey system. Zbl 1445.35036Hu, Guangping; Feng, Zhaosheng 3 2020 Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. Zbl 1453.34047da Fonseca, Alexander Fernandes; Llibre, Jaume; Mello, Luis Fernando 3 2020 Hopf bifurcation and stability crossing curve in a planktonic resource-consumer system with double delays. Zbl 1455.37073Jiang, Zhichao; Guo, Yanfen 3 2020 Hidden attractors with conditional symmetry. Zbl 1455.37027Li, Chunbiao; Sun, Jiayu; Sprott, Julien Clinton; Lei, Tengfei 3 2020 The structural stability of maps with heteroclinic repellers. Zbl 1455.37020Chen, Yuanlong; Li, Liangliang; Wu, Xiaoying; Wang, Feng 3 2020 The effects of a constant excitation force on the dynamics of an infinite-equilibrium chaotic system without linear terms: analysis, control and circuit simulation. Zbl 1466.37030Kamdjeu Kengne, L.; Njitacke, Z. Tabekoueng; Pone, J. R. Mboupda; Tagne, H. T. Kamdem 3 2020 Bifurcations and exact solutions for a class of MKdV equations with the conformable fractional derivative via dynamical system method. Zbl 1436.34034Liang, Jianli; Tang, Longkun; Xia, Yonghui; Zhang, Yi 3 2020 Completing the study of traveling wave solutions for three two-component shallow water wave models. Zbl 1444.34004Li, Jibin; Chen, Guanrong; Song, Jie 3 2020 Bifurcation analysis of phytoplankton and zooplankton interaction system with two delays. Zbl 1445.34120Jiang, Zhichao; Dai, Jiangtao; Zhang, Tongqian 3 2020 Picard-Fuchs equation applied to quadratic isochronous systems with two switching lines. Zbl 1445.34041Yang, Jihua 3 2020 A new category of three-dimensional chaotic flows with identical eigenvalues. Zbl 1445.34038Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C. 3 2020 Fear induced stabilization in an intraguild predation model. Zbl 1446.34064Hossain, Mainul; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev 3 2020 Sensitivity and chaoticity on nonautonomous dynamical systems. Zbl 1458.37027Li, Nan; Wang, Lidong 2 2020 Exploring the location and linear stability of the equilibrium points in the equilateral restricted four-body problem. Zbl 1460.70010Zotos, Euaggelos E. 2 2020 Bifurcation and potential landscape of p53 dynamics depending on PDCD5 level and ATM degradation rate. Zbl 1451.37111bi, Yuanhong; Liu, Quansheng; Wang, Lixin; Yang, Wuritu; Wu, Xinwei 2 2020 Temporal forcing induced pattern transitions near the Turing-Hopf bifurcation in a plankton system. Zbl 1447.35041Wang, Wen; Liu, Shutang; Liu, Zhibin; Wang, Da 2 2020 Bifurcations of solitary waves of a simple equation. Zbl 1447.35103Yang, Jiaopeng; Liu, Rui; Chen, Yiren 2 2020 Exact peakon, periodic peakon and pseudo-peakon solutions of the rotation-two-component Camassa-Holm system. Zbl 1447.35106Li, Jibin; Chen, Guanrong; Zhou, Yan 2 2020 Time-reversible chaotic system with conditional symmetry. Zbl 1446.34025Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian 2 2020 Impacts of multiple time delays on a gene regulatory network mediated by small noncoding RNA. Zbl 1446.34102Liu, Ming; Meng, Fanwei; Hu, Dongpo 2 2020 Finding method and analysis of hidden chaotic attractors for plasma chaotic system from physical and mechanistic perspectives. Zbl 1447.34054Yang, Yingjuan; Qi, Guoyuan; Hu, Jianbing; Faradja, Philippe 2 2020 ...and 1186 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,992 Authors 311 Chen, Guanrong 236 Llibre, Jaume 148 Han, Maoan 124 Li, Jibin 116 Cao, Jinde 114 Yu, Pei 93 Chua, Leon Ong 90 Gardini, Laura 90 Wang, Xingyuan 85 Jafari, Sajad 79 Liao, Xiaofeng 78 Pham, Viet-Thanh 77 Kurths, Jürgen 77 Vaidyanathan, Sundarapandian 70 Sprott, Julien Clinton 68 Yang, Xiaosong 67 Valls Anglés, Cláudia 66 Algaba, Antonio 66 Zhang, Wei 61 Aihara, Kazuyuki 61 Xu, Wei 57 Leonov, Gennadiĭ Alekseevich 56 Yang, Qigui 54 Kapitaniak, Tomasz 53 Giné, Jaume 52 Wei, Junjie 51 Kuznetsov, Nikolay Vladimirovich 47 Kashchenko, Sergeĭ Aleksandrovich 47 Lu, Junan 47 Ryashko, Lev Borisovich 46 Guo, Shangjiang 46 Huang, Lihong 46 Wei, Zhouchao 45 Gasull, Armengol 45 Liu, Yirong 45 Lu, Jinhu 45 Rodríguez-Luis, Alejandro J. 44 Avrutin, Viktor 44 Bi, Qinsheng 44 Grassi, Giuseppe 44 Liu, Xinzhi 44 Luo, Albert C. 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