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: 6,434 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 33 Luo, Albert C. J. 32 Yang, Xiaosong 30 Sanjuán, Miguel A. F. 30 Zhang, Wei 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 Banks, Stephen Paul 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 Barbé, André M. 13 Bilotta, Eleonora ...and 8,098 more Authors all top 5 Fields 3,370 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) 467 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) 76 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 5,024 Publications have been cited 44,219 times in 22,273 Documents Cited by ▼ Year ▼ Yet another chaotic attractor. Zbl 0962.37013 Chen, Guanrong; Ueta, Tetsushi 933 1999 A new chaotic attractor coined. Zbl 1063.34510 Lü, Jinhu; Chen, Guanrong 643 2002 Neural excitability, spiking and bursting. Zbl 1090.92505 Izhikevich, Eugene M. 366 2000 Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026 Li, Jibin 347 2003 Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026 Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej 320 2002 One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029 Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A. 292 2003 Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. Zbl 1270.34003 Leonov, G. A.; Kuznetsov, N. V. 267 2013 Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443 Rowley, C. W. 197 2005 Complexity and real computation: A manifesto. Zbl 0872.68036 Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve 179 1996 Attractors for lattice dynamical systems. Zbl 1091.37515 Bates, Peter W.; Lu, Kening; Wang, Bixiang 178 2001 Memristor oscillators. Zbl 1165.94300 Itoh, Makoto; Chua, Leon O. 173 2008 Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038 Lü, Jinhu; Chen, Guanrong 170 2006 Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065 Freire, Emilio; Ponce, Enrique; Rodrigo, Francisco; Torres, Francisco 166 1998 Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032 Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 153 1991 Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088 Alvarez, Gonzalo; Li, Shujun 153 2006 Bifurcation analysis of Chen’s equation. Zbl 1090.37531 Ueta, Tetsushi; Chen, Guanrong 151 2000 On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023 Čelikovský, Sergej; Chen, Guanrong 150 2002 Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019 Fridrich, Jiri 137 1998 Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060 Nusse, Helena E.; Yorke, James A. 132 1995 A new chaotic system and beyond: the generalized Lorenz-like system. Zbl 1129.37323 Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan 128 2004 Simple chaotic flows with one stable equilibrium. Zbl 1284.34064 Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi 124 2013 Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561 Wang, Xiao Fan 121 2002 The spatial dilemmas of evolution. Zbl 0870.92011 Nowak, Martin A.; May, Robert M. 119 1993 Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134 Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U. 119 1992 On a class of singular nonlinear traveling wave equations. Zbl 1158.35080 Li, Jibin; Chen, Guanrong 117 2007 Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015 Jiao, Feng; Zhou, Yong 113 2012 Riddled basins. Zbl 0870.58046 Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I. 112 1992 Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay. Zbl 1378.92012 Wang, Zhen; Wang, Xiaohong; Li, Yuxia; Huang, Xia 110 2017 A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004 Wu, Chai Wah; Chua, Leon O. 108 1993 A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445 Wu, Chai Wah; Chua, Leon O. 108 1994 Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506 Chen, Guanrong; Zhou, Jin; Liu, Zengrong 107 2004 Implementing memristor based chaotic circuits. Zbl 1193.94082 Muthuswamy, Bharathwaj 102 2010 Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060 Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre 101 1991 Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111 Li, Chunbiao; Sprott, J. C. 98 2014 Time-varying linearization and the Perron effects. Zbl 1142.34033 Leonov, G. A.; Kuznetsov, N. V. 97 2007 Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082 Liu, Xia; Han, Maoan 93 2010 A survey of methods for computing (un)stable manifolds of vector fields. Zbl 1086.34002 Krauskopf, 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 1044.37021 Lü, Jinhu; Chen, Guanrong; Zhang, Suochun 92 2002 Transmission of digital signals by chaotic synchronization. Zbl 0870.94011 Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A. 91 1992 From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076 Chen, Guanrong; Dong, Xiaoning 90 1993 Bifurcation control: theories, methods, and applications. Zbl 1090.37552 Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O. 87 2000 A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306 Yang, Qigui; Chen, Guanrong 85 2008 Families of scroll grid attractors. Zbl 1044.37029 Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar 84 2002 Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319 Abrams, Daniel M.; Strogatz, Steven H. 84 2006 Feedback anticontrol of discrete chaos. Zbl 0941.93522 Chen, Guanrong; Lai, Dejian 82 1998 Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014 Itoh, Makoto; Chua, Leon O. 82 2009 Finite difference methods for fractional differential equations. Zbl 1258.34018 Li, Changpin; Zeng, Fanhai 78 2012 Chen’s attractor exists. Zbl 1129.37326 Zhou, Tianshou; Tang, Yun; Chen, Guanrong 76 2004 Stability and Hopf bifurcation of a delayed prey-predator model with disease in the predator. Zbl 1425.34093 Huang, Chuangxia; Zhang, Hua; Cao, Jinde; Hu, Haijun 76 2019 Sliding bifurcations: a novel mechanism for the sudden onset of chaos in dry friction oscillators. Zbl 1099.70504 di Bernardo, M.; Kowalczyk, P.; Nordmark, A. 75 2003 A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058 Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B. 74 1996 Lévy flight superdiffusion: an introduction. Zbl 1157.82300 Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V. 73 2008 Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372 Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E. 73 2007 Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549 Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming 72 2000 Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037 Kapitaniak, Tomasz; Chua, Leon O. 72 1994 Pinning impulsive stabilization of nonlinear dynamical networks with time-varying delay. Zbl 1270.92006 Lu, Jianquan; Wang, Zidong; Cao, Jinde; Ho, Daniel W. C.; Kurths, Jürgen 72 2012 Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374 Yang, Tao; Chua, Leon O. 70 1997 Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006 Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D. 69 1998 Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054 Han, Maoan; Yang, Junmin; Yu, Pei 68 2009 Stability and bifurcation analysis of a three-species food chain model with fear. Zbl 1386.34093 Panday, Pijush; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev 67 2018 New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026 Cafagna, Donato; Grassi, Giuseppe 67 2003 Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597 Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A. 67 2004 Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015 Li, Chunbiao; Sprott, Julien Clinton 67 2014 An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091 Yang, Qigui; Wei, Zhouchao; Chen, Guanrong 67 2010 Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520 Itoh, Makoto; Yang, Tao; Chua, Leon O. 66 2001 Nonlinear time sequence analysis. Zbl 0874.58029 Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten 66 1991 A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509 Mao, Yaobin; Chen, Guanrong; Lian, Shiguo 65 2004 Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030 Champneys, A. R.; Kuznetsov, Yu. A. 65 1994 On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182 Wu, Chai Wah; Yang, Tao; Chua, Leon O. 65 1996 A new chaotic system and its generators. Zbl 1078.37504 Liu, Wenbo; Chen, Guanrong 62 2003 Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079 Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan 62 2012 Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031 Gasull, Armengol; Torregrosa, Joan 61 2003 Steps toward unmasking secure communications. Zbl 0875.94002 Short, Kevin M. 61 1994 Absolute stability theory and the synchronization problem. Zbl 0910.34054 Curran, P. F.; Chua, L. O. 59 1997 Monodromy and stability for nilpotent critical points. Zbl 1088.34021 Álvarez, M. J.; Gasull, A. 59 2005 Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090 Sushko, Iryna; Gardini, Laura 59 2010 Recent developments in dynamical systems: three perspectives. Zbl 1202.37003 Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. 59 2010 Generalized synchronization of chaos via linear transformations. Zbl 0937.37019 Yang, Tao; Chua, Leon O. 58 1999 Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052 Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O. 58 1993 More spatial games. Zbl 0884.90147 Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M. 58 1994 Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364 Shilnikov, Andrey; Kolomiets, Marina 58 2008 Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095 Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille 57 2010 Complex dynamical behaviors of the chaotic Chen’s system. Zbl 1046.37018 Zhou, Tianshou; Tang, Yun; Chen, Guanrong 57 2003 Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023 Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D. 57 2005 Chaos of travelling waves in a discrete chain of diffusively coupled maps. Zbl 0870.58049 Afraimovich, V. S.; Nekorkin, V. I. 57 1994 Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133 Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto 57 1992 Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114 Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong 57 2014 Chaos in a three-dimensional cancer model. Zbl 1183.34064 Itik, Mehmet; Banks, Stephen P. 56 2010 Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157 Chen, Guanrong; Lai, Dejian 56 1996 The multifractal formalism revisited with wavelets. Zbl 0807.58032 Muzy, J. F.; Bacry, E.; Arneodo, A. 56 1994 A survey on the blow up technique. Zbl 1258.34001 Álvarez, María Jesús; Ferragut, Antoni; Jarque, Xavier 56 2011 The response of a nonlinear system with a nonsemisimple one-to-one resonance to a combination parametric resonance. Zbl 0919.73156 Chin, C.; Nayfeh, A. H.; Mook, D. T. 55 1995 Local bifurcations of the Chen system. Zbl 1047.34044 Lü, Jinhu; Zhou, Tianshou; Chen, Guanrong; Zhang, Suochun 55 2002 Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509 Liao, Xiaoxin; Chen, Guanrong 55 2003 Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072 Shil’nikov, Leonid P. 55 1994 Hidden hyperchaotic attractors in a modified Lorenz-Stenflo system with only one stable equilibrium. Zbl 1302.34017 Wei, Zhouchao; Zhang, Wei 55 2014 Infinite multistability in a self-reproducing chaotic system. Zbl 1383.37026 Li, Chunbiao; Sprott, Julien Clinton; Hu, Wen; Xu, Yujie 54 2017 Dynamic analysis of a delayed fractional-order SIR model with saturated incidence and treatment functions. Zbl 1412.34231 Wang, Xinhe; Wang, Zhen; Huang, Xia; Li, Yuxia 53 2018 Recurrence-based time series analysis by means of complex network methods. Zbl 1247.37086 Donner, Reik V.; Small, Michael; Donges, Jonathan F.; Marwan, Norbert; Zou, Yong; Xiang, Ruoxi; Kurths, Jürgen 52 2011 Deterministic chaos seen in terms of feedback circuits: analysis, synthesis, “labyrinth chaos”. Zbl 1089.37512 Thomas, R. 52 1999 Multiple bifurcations of a discrete-time prey-predator model with mixed functional response. Zbl 1489.92123 Naik, Parvaiz Ahmad; Eskandari, Zohreh; Avazzadeh, Zakieh; Zu, Jian 8 2022 Stability and bifurcation in a Leslie-Gower predator-prey model with Allee effect. Zbl 1493.34144 Zhu, Zhenliang; Chen, Yuming; Li, Zhong; Chen, Fengde 7 2022 Pattern dynamical behaviors of one type of tree-grass model with cross-diffusion. Zbl 1489.92203 Su, Rina; Zhang, Chunrui 4 2022 Codimension-two bifurcations and bifurcation controls in a discrete biological system with weak Allee effect. Zbl 1486.92192 Zhang, Limin; Xu, Yike; Liao, Guangyuan 4 2022 A conservative memristive system with amplitude control and offset boosting. Zbl 1497.34072 Zhang, Xin; Li, Chunbiao; Dong, Enzeng; Zhao, Yibo; Liu, Zuohua 3 2022 Bifurcation analysis of a fractional-order simplicial SIRS system induced by double delays. Zbl 1489.92193 Zhou, Jiaying; Zhao, Yi; Ye, Yong; Bao, Yixin 3 2022 Vegetation pattern formation and transition caused by cross-diffusion in a modified vegetation-sand model. Zbl 1489.92206 Zhang, Feifan; Li, Yingxin; Zhao, Yilong; Liu, Zezheng 3 2022 Classification and traveling wave solutions for the Gilson-Pickering equation. Zbl 1504.35434 Yang, Deniu 3 2022 A delayed eco-epidemiological model with weak Allee effect and disease in prey. Zbl 1497.92212 Sarkar, Kankan; Khajanchi, Subhas; Mali, Prakash Chandra 3 2022 Dynamics of a new multistable 4D hyperchaotic Lorenz system and its applications. Zbl 1496.34079 Leutcho, Gervais Dolvis; Wang, Huihai; Fozin, Theophile Fonzin; Sun, Kehui; Njitacke, Zeric Tabekoueng; Kengne, Jacques 3 2022 Stability and bifurcation analysis for a nitrogen-fixing evolutionary game with environmental feedback and discrete delays. Zbl 1493.34219 Cheng, Haihui; Meng, Xinzhu; Hayat, Tasawar; Hobiny, Aatef; Zhang, Tonghua 3 2022 An optical image encryption algorithm based on a fractional-order laser hyperchaotic system. Zbl 1487.78025 Li, Xuejun; Mou, Jun; Cao, Yinghong; Banerjee, Santo 3 2022 Admissible perturbations of a generalized langford system. Zbl 1500.34032 Musafirov, Eduard; Grin, Alexander; Pranevich, Andrei 3 2022 Homoclinic boundary-saddle bifurcations in planar nonsmooth vector fields. Zbl 1502.34023 da S. Andrade, Kamila; Jeffrey, Mike R.; Martins, Ricardo M.; Teixeira, Marco A. 2 2022 Turing-Hopf bifurcation in diffusive Gierer-Meinhardt model. Zbl 1487.35047 Yang, Rui; Yu, Xiao-Qing 2 2022 Topological weak specification and distributional chaos on noncompact spaces. Zbl 1497.37016 Yadav, Naveenkumar; Shah, Sejal 2 2022 Stochastic stability and bifurcation of centrifugal governor system subject to color noise. Zbl 1509.70029 Zhang, Jiangang; Liang, Xiangling; Qiao, Shuai; He, Meijuan; An, Xinlei 2 2022 Stability analysis of a Leslie-Gower model with strong Allee effect on prey and fear effect on predator. Zbl 1501.34045 Liu, Tingting; Chen, Lijuan; Chen, Fengde; Li, Zhong 2 2022 Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. Zbl 1510.37090 Chen, Ting; Llibre, Jaume 2 2022 Dynamical effects of electromagnetic flux on Chialvo neuron map: nodal and network behaviors. Zbl 1497.92041 Muni, Sishu Shankar; Fatoyinbo, Hammed Olawale; Ghosh, Indranil 2 2022 Intermittent bursting in the fractional difference logistic map of matrices. Zbl 1493.39012 Petkevičiūtė-Gerlach, Daiva; Šmidtaitė, Rasa; Ragulskis, Minvydas 2 2022 Chaos in a simplest cyclic memristive neural network. Zbl 1494.34125 Lai, Qiang; Lai, Cong; Kuate, Paul Didier Kamdem; Li, Chunbiao; He, Shaobo 2 2022 Bifurcation and chaos in a phytoplankton-zooplankton model with Holling type-II response and toxicity. Zbl 1502.37094 Khan, Abdul Qadeer; Alayachi, Haza Saleh 2 2022 Bifurcation analysis and spatio-temporal patterns of a prey-predator model with hunting cooperation. Zbl 1501.92110 Dey, Subrata; Banerjee, Malay; Ghorai, S. 2 2022 Dynamics and synchronization of complex-valued ring networks. Zbl 1497.34062 Zhao, Xiu; Liu, Jian; Chen, Guanrong; Chai, Lin; Wang, Dan 1 2022 Canard cycles and relaxation oscillations in a singularly perturbed Leslie-Gower predator-prey model with Allee effect. Zbl 1497.34074 Zhu, Zirui; Liu, Xingbo 1 2022 The number of limit cycles for a class of cubic systems with multiple parameters. Zbl 1504.34081 Cai, Meilan; Han, Maoan 1 2022 Evaluating the randomness of chaotic binary sequences via a novel period detection algorithm. Zbl 1487.94113 Fan, Chunlei; Ding, Qun; Tse, Chi K. 1 2022 Construction of a nondegenerate 2D chaotic map with application to irreversible parallel key expansion algorithm. Zbl 1491.94074 Zhao, Mengdi; Liu, Hongjun 1 2022 Limit cycle bifurcations near a heteroclinic loop with two nilpotent cusps of general order. Zbl 1505.34049 Yang, Junmin; Hu, Xing 1 2022 Complex dynamics of a three-species food chain model with fear and Allee effect. Zbl 1491.92134 Rana, Sourav; Bhattacharya, Sabyasachi; Samanta, Sudip 1 2022 Analysis on capacity sharing with failed match based on the evolutionary game theory. Zbl 1491.90020 Ma, Junhai; Xie, Lei 1 2022 Modeling Allee effect in the Leslie-Gower predator-prey system incorporating a prey refuge. Zbl 1501.34048 Yin, Wenqi; Li, Zhong; Chen, Fengde; He, Mengxin 1 2022 Hopf-bifurcation and pattern selections in a three trophic level food web system. Zbl 1493.92092 Shivam; Singh, Teekam; Kumar, Mukesh 1 2022 Bifurcation of dividing surfaces constructed from period-doubling bifurcations of periodic orbits in a caldera potential energy surface. Zbl 1502.37060 Katsanikas, 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. 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Zbl 1484.34112 Bashkirtseva, Irina; Perevalova, Tatyana; Ryashko, Lev 2 2021 ...and 1363 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 23,699 Authors 331 Chen, Guanrong 281 Llibre, Jaume 155 Han, Maoan 141 Cao, Jinde 129 Li, Jibin 124 Yu, Pei 107 Wang, Xingyuan 96 Gardini, Laura 96 Jafari, Sajad 93 Chua, Leon Ong 90 Kurths, Jürgen 87 Pham, Viet-Thanh 85 Xu, Wei 83 Valls Anglés, Cláudia 82 Vaidyanathan, Sundarapandian 80 Liao, Xiaofeng 79 Sprott, Julien Clinton 75 Zhang, Wei 70 Algaba, Antonio 70 Yang, Xiaosong 64 Yang, Qigui 62 Aihara, Kazuyuki 62 Ryashko, Lev Borisovich 61 Bashkirtseva, Irina Adol’fovna 59 Giné, Jaume 58 Bi, Qinsheng 58 Kuznetsov, Nikolay Vladimirovich 58 Leonov, Gennadiĭ Alekseevich 57 Guo, Shangjiang 57 Kapitaniak, Tomasz 56 Kumar Upadhyay, Ranjit 56 Rajagopal, Karthikeyan 56 Wei, Junjie 54 Huang, Lihong 53 Wei, Zhouchao 52 Gasull, Armengol 51 Kashchenko, Sergeĭ Aleksandrovich 51 Liu, Shutang 51 Liu, Xinzhi 51 Sanjuán, Miguel A. 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