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 Comments: Journal Documents Indexed: 6,433 Publications (since 1991) References Indexed: 5,548 Publications with 149,785 References. all top 5 Latest Issues 32, No. 12 (2022) 32, No. 11 (2022) 32, No. 10 (2022) 32, No. 9 (2022) 32, No. 8 (2022) 32, No. 7 (2022) 32, No. 6 (2022) 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) ...and 267 more Volumes all top 5 Authors 175 Chua, Leon Ong 170 Chen, Guanrong 89 Li, Jibin 78 Llibre, Jaume 55 Yu, Pei 52 Han, Maoan 50 Sprott, Julien Clinton 47 Jafari, Sajad 42 Kurths, Jürgen 39 Aihara, Kazuyuki 39 Mira, Christian 34 Gardini, Laura 33 Itoh, Makoto 32 Luo, Albert C. J. 32 Yang, Xiaosong 31 Zhang, Wei 30 Sanjuán, Miguel A. F. 29 Pham, Viet-Thanh 26 Fortuna, Luigi 26 Kapitaniak, Tomasz 25 Lakshmanan, Muthusamy 24 Grassi, Giuseppe 24 Grebogi, Celso 24 Wiggins, Stephen R. 24 Xu, Wei 23 Wei, Junjie 22 Feng, Zhaosheng 21 Billings, Stephen A. 21 Freire Macías, Emilio 21 Mees, Alistair I. 21 Ponce, Enrique 21 Tse, Chi Kong 20 Awrejcewicz, Jan 20 Frasca, Mattia 20 Holden, Arun V. 20 Stewart, Ian Nicholas 19 Danca, Marius-Florin 19 Lu, Jinhu 19 Ma, Junhai 19 Rajagopal, Karthikeyan 18 Adamatzky, Andrew I. 18 Li, Chunbiao 18 Moiola, Jorge Luis 18 Pérez-Muñuzuri, Vicente 18 Velarde, Manuel G. 18 Yang, Qigui 18 Yu, Simin 18 Zhou, Tianshou 17 Anishchenko, Vadim Semenovich 17 Balibrea, Francisco 17 Cao, Jinde 17 Chen, Fangyue 17 Liao, Xiaofeng 17 Parlitz, Ulrich 17 Zhang, Tonghua 16 Bashkirtseva, Irina Adol’fovna 16 Bi, Qinsheng 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. 16 Ryashko, Lev Borisovich 16 Wei, Zhouchao 15 Algaba, Antonio 15 Avrutin, Viktor 15 Brown, Ray 15 Doedel, Eusebius J. 15 Fournier-Prunaret, Danièle 15 Kim, Hyongsuk 15 Kocarev, Ljupco 15 Kuznetsov, Nikolay Vladimirovich 15 Li, Changpin 15 Mosekilde, Erik 15 Nazarimehr, Fahimeh 15 Rinaldi, Sergio 15 Sbitnev, Valery I. 15 Ueta, Tetsushi 15 Yang, Tao 14 Afraimovich, Valentin S. 14 Bao, Bocheng 14 Bollt, Erik M. 14 Buscarino, Arturo 14 Cafagna, Donato 14 Chen, Fengjuan 14 Katsanikas, Matthaios 14 Lai, Yingcheng 14 Liu, Zhong 14 Nekorkin, Vladimir I. 14 Starkov, Konstantin E. 14 Valls Anglés, Cláudia 14 Wu, Xinxing 14 Xu, Jian 13 Andres, Jan 13 Aziz-Alaoui, Moulay-Ahmed 13 Barbé, André M. 13 Bilotta, Eleonora ...and 8,090 more Authors all top 5 Fields 3,369 Dynamical systems and ergodic theory (37-XX) 2,700 Ordinary differential equations (34-XX) 1,259 Biology and other natural sciences (92-XX) 781 Information and communication theory, circuits (94-XX) 594 Systems theory; control (93-XX) 538 Partial differential equations (35-XX) 466 Mechanics of particles and systems (70-XX) 300 Computer science (68-XX) 232 Numerical analysis (65-XX) 191 Fluid mechanics (76-XX) 181 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 174 Statistical mechanics, structure of matter (82-XX) 147 Difference and functional equations (39-XX) 129 Mechanics of deformable solids (74-XX) 109 Optics, electromagnetic theory (78-XX) 107 Statistics (62-XX) 87 Operations research, mathematical programming (90-XX) 77 Probability theory and stochastic processes (60-XX) 66 Measure and integration (28-XX) 54 Geophysics (86-XX) 44 Quantum theory (81-XX) 43 Global analysis, analysis on manifolds (58-XX) 41 Classical thermodynamics, heat transfer (80-XX) 40 Operator theory (47-XX) 35 General and overarching topics; collections (00-XX) 35 Real functions (26-XX) 32 Combinatorics (05-XX) 31 General topology (54-XX) 20 Functions of a complex variable (30-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 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) 11 Approximations and expansions (41-XX) 10 History and biography (01-XX) 9 Integral equations (45-XX) 9 Differential geometry (53-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) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-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 4,954 Publications have been cited 42,772 times in 21,432 Documents Cited by ▼ Year ▼ Yet another chaotic attractor. Zbl 0962.37013Chen, Guanrong; Ueta, Tetsushi 916 1999 A new chaotic attractor coined. Zbl 1063.34510Lü, Jinhu; Chen, Guanrong 633 2002 Neural excitability, spiking and bursting. Zbl 1090.92505Izhikevich, Eugene M. 352 2000 Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026Li, Jibin 331 2003 Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej 314 2002 One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A. 284 2003 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. 261 2013 Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443Rowley, C. W. 185 2005 Complexity and real computation: A manifesto. Zbl 0872.68036Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve 178 1996 Memristor oscillators. Zbl 1165.94300Itoh, Makoto; Chua, Leon O. 171 2008 Attractors for lattice dynamical systems. Zbl 1091.37515Bates, Peter W.; Lu, Kening; Wang, Bixiang 167 2001 Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038Lü, Jinhu; Chen, Guanrong 167 2006 Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 151 1991 Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065Freire, Emilio; Ponce, Enrique; Rodrigo, Francisco; Torres, Francisco 151 1998 Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088Alvarez, Gonzalo; Li, Shujun 148 2006 On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023Čelikovský, Sergej; Chen, Guanrong 148 2002 Bifurcation analysis of Chen’s equation. Zbl 1090.37531Ueta, Tetsushi; Chen, Guanrong 147 2000 Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019Fridrich, Jiri 133 1998 Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060Nusse, Helena E.; Yorke, James A. 129 1995 A new chaotic system and beyond: the generalized Lorenz-like system. Zbl 1129.37323Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan 127 2004 Simple chaotic flows with one stable equilibrium. Zbl 1284.34064Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi 121 2013 Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561Wang, Xiao Fan 120 2002 Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U. 119 1992 The spatial dilemmas of evolution. Zbl 0870.92011Nowak, Martin A.; May, Robert M. 118 1993 On a class of singular nonlinear traveling wave equations. Zbl 1158.35080Li, Jibin; Chen, Guanrong 113 2007 Riddled basins. Zbl 0870.58046Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I. 110 1992 A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004Wu, Chai Wah; Chua, Leon O. 107 1993 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 106 2017 A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445Wu, Chai Wah; Chua, Leon O. 106 1994 Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015Jiao, Feng; Zhou, Yong 106 2012 Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506Chen, Guanrong; Zhou, Jin; Liu, Zengrong 105 2004 Implementing memristor based chaotic circuits. Zbl 1193.94082Muthuswamy, Bharathwaj 101 2010 Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 99 1991 Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111Li, Chunbiao; Sprott, J. C. 97 2014 Time-varying linearization and the Perron effects. Zbl 1142.34033Leonov, G. A.; Kuznetsov, N. V. 96 2007 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. 92 2005 Dynamical analysis of a new chaotic attractor. Zbl 1044.37021Lü, Jinhu; Chen, Guanrong; Zhang, Suochun 91 2002 From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076Chen, Guanrong; Dong, Xiaoning 90 1993 Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082Liu, Xia; Han, Maoan 90 2010 Transmission of digital signals by chaotic synchronization. Zbl 0870.94011Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A. 89 1992 A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306Yang, Qigui; Chen, Guanrong 85 2008 Bifurcation control: theories, methods, and applications. Zbl 1090.37552Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O. 84 2000 Families of scroll grid attractors. Zbl 1044.37029Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar 83 2002 Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319Abrams, Daniel M.; Strogatz, Steven H. 81 2006 Feedback anticontrol of discrete chaos. Zbl 0941.93522Chen, Guanrong; Lai, Dejian 80 1998 Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014Itoh, Makoto; Chua, Leon O. 79 2009 Sliding bifurcations: a novel mechanism for the sudden onset of chaos in dry friction oscillators. Zbl 1099.70504di Bernardo, M.; Kowalczyk, P.; Nordmark, A. 74 2003 Finite difference methods for fractional differential equations. Zbl 1258.34018Li, Changpin; Zeng, Fanhai 74 2012 A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B. 72 1996 Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037Kapitaniak, Tomasz; Chua, Leon O. 71 1994 Chen’s attractor exists. Zbl 1129.37326Zhou, Tianshou; Tang, Yun; Chen, Guanrong 71 2004 Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming 70 2000 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 70 2012 Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E. 70 2007 Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374Yang, Tao; Chua, Leon O. 68 1997 Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D. 68 1998 Lévy flight superdiffusion: an introduction. Zbl 1157.82300Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V. 67 2008 Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054Han, Maoan; Yang, Junmin; Yu, Pei 67 2009 New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026Cafagna, Donato; Grassi, Giuseppe 67 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 67 2019 Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520Itoh, Makoto; Yang, Tao; Chua, Leon O. 66 2001 Nonlinear time sequence analysis. Zbl 0874.58029Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten 66 1991 An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091Yang, Qigui; Wei, Zhouchao; Chen, Guanrong 66 2010 Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A. 66 2004 Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030Champneys, A. R.; Kuznetsov, Yu. A. 65 1994 On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182Wu, Chai Wah; Yang, Tao; Chua, Leon O. 64 1996 A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509Mao, Yaobin; Chen, Guanrong; Lian, Shiguo 63 2004 Steps toward unmasking secure communications. Zbl 0875.94002Short, Kevin M. 61 1994 Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015Li, Chunbiao; Sprott, Julien Clinton 61 2014 A new chaotic system and its generators. Zbl 1078.37504Liu, Wenbo; Chen, Guanrong 60 2003 Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031Gasull, Armengol; Torregrosa, Joan 59 2003 Absolute stability theory and the synchronization problem. Zbl 0910.34054Curran, P. F.; Chua, L. O. 59 1997 Recent developments in dynamical systems: three perspectives. Zbl 1202.37003Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. 58 2010 Monodromy and stability for nilpotent critical points. Zbl 1088.34021Álvarez, M. J.; Gasull, A. 58 2005 Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan 58 2012 Stability and bifurcation analysis of a three-species food chain model with fear. Zbl 1386.34093Panday, Pijush; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev 58 2018 Complex dynamical behaviors of the chaotic Chen’s system. Zbl 1046.37018Zhou, Tianshou; Tang, Yun; Chen, Guanrong 57 2003 Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto 57 1992 Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O. 57 1993 Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090Sushko, Iryna; Gardini, Laura 57 2010 Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong 57 2014 More spatial games. Zbl 0884.90147Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M. 56 1994 Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157Chen, Guanrong; Lai, Dejian 56 1996 Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364Shilnikov, Andrey; Kolomiets, Marina 56 2008 Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille 56 2010 Generalized synchronization of chaos via linear transformations. Zbl 0937.37019Yang, Tao; Chua, Leon O. 56 1999 Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D. 55 2005 Hidden hyperchaotic attractors in a modified Lorenz-Stenflo system with only one stable equilibrium. Zbl 1302.34017Wei, Zhouchao; Zhang, Wei 55 2014 Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072Shil’nikov, Leonid P. 54 1994 Chaos of travelling waves in a discrete chain of diffusively coupled maps. Zbl 0870.58049Afraimovich, V. S.; Nekorkin, V. I. 54 1994 The multifractal formalism revisited with wavelets. Zbl 0807.58032Muzy, J. F.; Bacry, E.; Arneodo, A. 54 1994 Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509Liao, Xiaoxin; Chen, Guanrong 54 2003 Local bifurcations of the Chen system. Zbl 1047.34044Lü, Jinhu; Zhou, Tianshou; Chen, Guanrong; Zhang, Suochun 54 2002 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. 52 1995 Chaos in a three-dimensional cancer model. Zbl 1183.34064Itik, Mehmet; Banks, Stephen P. 52 2010 Infinite multistability in a self-reproducing chaotic system. Zbl 1383.37026Li, Chunbiao; Sprott, Julien Clinton; Hu, Wen; Xu, Yujie 51 2017 An adaptive approach to the control and synchronization of continuous-time chaotic systems. Zbl 0900.70413Di Bernardo, Mario 51 1996 Recurrence-based time series analysis by means of complex network methods. Zbl 1247.37086Donner, Reik V.; Small, Michael; Donges, Jonathan F.; Marwan, Norbert; Zou, Yong; Xiang, Ruoxi; Kurths, Jürgen 51 2011 A unified Lorenz-type system and its canonical form. Zbl 1185.37088Yang, Qigui; Chen, Guangrong; Zhou, Tianshou 51 2006 Deterministic chaos seen in terms of feedback circuits: analysis, synthesis, “labyrinth chaos”. Zbl 1089.37512Thomas, R. 50 1999 Stability and bifurcation in a Leslie-Gower predator-prey model with Allee effect. Zbl 1493.34144Zhu, Zhenliang; Chen, Yuming; Li, Zhong; Chen, Fengde 6 2022 Multiple bifurcations of a discrete-time prey-predator model with mixed functional response. Zbl 1489.92123Naik, Parvaiz Ahmad; Eskandari, Zohreh; Avazzadeh, Zakieh; Zu, Jian 3 2022 A conservative memristive system with amplitude control and offset boosting. Zbl 1497.34072Zhang, Xin; Li, Chunbiao; Dong, Enzeng; Zhao, Yibo; Liu, Zuohua 3 2022 Classification and traveling wave solutions for the Gilson-Pickering equation. Zbl 1504.35434Yang, Deniu 3 2022 Codimension-two bifurcations and bifurcation controls in a discrete biological system with weak Allee effect. Zbl 1486.92192Zhang, Limin; Xu, Yike; Liao, Guangyuan 3 2022 Homoclinic boundary-saddle bifurcations in planar nonsmooth vector fields. Zbl 1502.34023da S. Andrade, Kamila; Jeffrey, Mike R.; Martins, Ricardo M.; Teixeira, Marco A. 2 2022 Pattern dynamical behaviors of one type of tree-grass model with cross-diffusion. Zbl 1489.92203Su, Rina; Zhang, Chunrui 2 2022 Stochastic stability and bifurcation of centrifugal governor system subject to color noise. Zbl 1509.70029Zhang, Jiangang; Liang, Xiangling; Qiao, Shuai; He, Meijuan; An, Xinlei 2 2022 Bifurcation analysis of a fractional-order simplicial SIRS system induced by double delays. Zbl 1489.92193Zhou, Jiaying; Zhao, Yi; Ye, Yong; Bao, Yixin 2 2022 A delayed eco-epidemiological model with weak Allee effect and disease in prey. Zbl 1497.92212Sarkar, Kankan; Khajanchi, Subhas; Mali, Prakash Chandra 2 2022 Intermittent bursting in the fractional difference logistic map of matrices. Zbl 1493.39012Petkevičiūtė-Gerlach, Daiva; Šmidtaitė, Rasa; Ragulskis, Minvydas 2 2022 Turing-Hopf bifurcation in diffusive Gierer-Meinhardt model. Zbl 1487.35047Yang, Rui; Yu, Xiao-Qing 1 2022 Dynamics and synchronization of complex-valued ring networks. Zbl 1497.34062Zhao, Xiu; Liu, Jian; Chen, Guanrong; Chai, Lin; Wang, Dan 1 2022 Vegetation pattern formation and transition caused by cross-diffusion in a modified vegetation-sand model. Zbl 1489.92206Zhang, Feifan; Li, Yingxin; Zhao, Yilong; Liu, Zezheng 1 2022 Canard cycles and relaxation oscillations in a singularly perturbed Leslie-Gower predator-prey model with Allee effect. Zbl 1497.34074Zhu, Zirui; Liu, Xingbo 1 2022 The number of limit cycles for a class of cubic systems with multiple parameters. Zbl 1504.34081Cai, Meilan; Han, Maoan 1 2022 Evaluating the randomness of chaotic binary sequences via a novel period detection algorithm. Zbl 1487.94113Fan, Chunlei; Ding, Qun; Tse, Chi K. 1 2022 Bifurcation of dividing surfaces constructed from period-doubling bifurcations of periodic orbits in a caldera potential energy surface. Zbl 1502.37060Katsanikas, Matthaios; Agaoglou, Makrina; Wiggins, Stephen 1 2022 Limit cycles bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three zones. Zbl 1504.34030Pessoa, Claudio; Ribeiro, Ronisio 1 2022 Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. Zbl 1510.37090Chen, Ting; Llibre, Jaume 1 2022 Dynamical effects of electromagnetic flux on Chialvo neuron map: nodal and network behaviors. Zbl 1497.92041Muni, Sishu Shankar; Fatoyinbo, Hammed Olawale; Ghosh, Indranil 1 2022 Phase space transport in a symmetric Caldera potential with three index-1 saddles and no minima. Zbl 1506.37100Katsanikas, Matthaios; Agaoglou, Makrina; Wiggins, Stephen; Mancho, Ana M. 1 2022 Limit cycles in discontinuous piecewise linear planar Hamiltonian systems without equilibrium points. Zbl 1507.34034Li, Zhengkang; Liu, Xingbo 1 2022 Turing pattern dynamics in an SI epidemic model with superdiffusion. Zbl 1500.92114Sarker, Ronobir Chandra; Sahani, Saroj Kumar 1 2022 Bifurcations in asymptotically autonomous Hamiltonian systems subject to multiplicative noise. 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N.; Tiwari, B. 2 2021 ...and 1301 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 22,729 Authors 329 Chen, Guanrong 268 Llibre, Jaume 152 Han, Maoan 134 Cao, Jinde 129 Li, Jibin 121 Yu, Pei 104 Wang, Xingyuan 94 Jafari, Sajad 93 Chua, Leon Ong 93 Gardini, Laura 91 Kurths, Jürgen 87 Pham, Viet-Thanh 84 Xu, Wei 80 Liao, Xiaofeng 79 Sprott, Julien Clinton 79 Vaidyanathan, Sundarapandian 79 Valls Anglés, Cláudia 75 Zhang, Wei 70 Yang, Xiaosong 69 Algaba, Antonio 63 Yang, Qigui 62 Aihara, Kazuyuki 60 Ryashko, Lev Borisovich 58 Bashkirtseva, Irina Adol’fovna 58 Leonov, Gennadiĭ Alekseevich 56 Bi, Qinsheng 56 Giné, Jaume 56 Kapitaniak, Tomasz 56 Kuznetsov, Nikolay Vladimirovich 54 Huang, Lihong 54 Kumar Upadhyay, Ranjit 54 Wei, Junjie 53 Guo, Shangjiang 53 Rajagopal, Karthikeyan 51 Liu, Shutang 51 Wei, Zhouchao 50 Luo, Albert C. J. 50 Sanjuán, Miguel A. 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