## 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)

### 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 0962.37013
Chen, Guanrong; Ueta, Tetsushi
1999
A new chaotic attractor coined. Zbl 1063.34510
Lü, Jinhu; Chen, Guanrong
2002
Neural excitability, spiking and bursting. Zbl 1090.92505
Izhikevich, Eugene M.
2000
Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026
Li, Jibin
2003
Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej
2002
Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. Zbl 1270.34003
Leonov, G. A.; Kuznetsov, N. V.
2013
One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029
Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A.
2003
Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443
Rowley, C. W.
2005
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
1996
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
2008
Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038
Lü, Jinhu; Chen, Guanrong
2006
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
2001
Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
1991
On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023
Čelikovský, Sergej; Chen, Guanrong
2002
Bifurcation analysis of Chen’s equation. Zbl 1090.37531
Ueta, Tetsushi; Chen, Guanrong
2000
Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065
Freire, Emilio; Ponce, Enrique; Rodrigo, Francisco; Torres, Francisco
1998
A new chaotic system and beyond: the generalized Lorenz-like system. Zbl 1129.37323
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan
2004
Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088
Alvarez, Gonzalo; Li, Shujun
2006
Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060
Nusse, Helena E.; Yorke, James A.
1995
Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019
Fridrich, Jiri
1998
Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U.
1992
Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561
Wang, Xiao Fan
2002
Simple chaotic flows with one stable equilibrium. Zbl 1284.34064
Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi
2013
The spatial dilemmas of evolution. Zbl 0870.92011
Nowak, Martin A.; May, Robert M.
1993
A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004
Wu, Chai Wah; Chua, Leon O.
1993
A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445
Wu, Chai Wah; Chua, Leon O.
1994
On a class of singular nonlinear traveling wave equations. Zbl 1158.35080
Li, Jibin; Chen, Guanrong
2007
Riddled basins. Zbl 0870.58046
Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I.
1992
Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506
Chen, Guanrong; Zhou, Jin; Liu, Zengrong
2004
Implementing memristor based chaotic circuits. Zbl 1193.94082
Muthuswamy, Bharathwaj
2010
Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
1991
Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015
Jiao, Feng; Zhou, Yong
2012
From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076
Chen, Guanrong; Dong, Xiaoning
1993
Dynamical analysis of a new chaotic attractor. Zbl 1044.37021
Lü, Jinhu; Chen, Guanrong; Zhang, Suochun
2002
Time-varying linearization and the Perron effects. Zbl 1142.34033
Leonov, G. A.; Kuznetsov, N. V.
2007
Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111
Li, Chunbiao; Sprott, J. C.
2014
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
2017
Transmission of digital signals by chaotic synchronization. Zbl 0870.94011
Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A.
1992
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.
2005
Bifurcation control: theories, methods, and applications. Zbl 1090.37552
Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O.
2000
Families of scroll grid attractors. Zbl 1044.37029
Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar
2002
A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306
Yang, Qigui; Chen, Guanrong
2008
Feedback anticontrol of discrete chaos. Zbl 0941.93522
Chen, Guanrong; Lai, Dejian
1998
Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082
Liu, Xia; Han, Maoan
2010
Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319
Abrams, Daniel M.; Strogatz, Steven H.
2006
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.
2003
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
2009
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
1996
New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026
Cafagna, Donato; Grassi, Giuseppe
2003
Chen’s attractor exists. Zbl 1129.37326
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
2004
Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E.
2007
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
1994
Nonlinear time sequence analysis. Zbl 0874.58029
Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten
1991
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
2000
Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037
Kapitaniak, Tomasz; Chua, Leon O.
1994
On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182
Wu, Chai Wah; Yang, Tao; Chua, Leon O.
1996
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
2009
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
2001
Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374
Yang, Tao; Chua, Leon O.
1997
Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597
Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A.
2004
Steps toward unmasking secure communications. Zbl 0875.94002
Short, Kevin M.
1994
A new chaotic system and its generators. Zbl 1078.37504
Liu, Wenbo; Chen, Guanrong
2003
Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006
Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D.
1998
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
2012
Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157
Chen, Guanrong; Lai, Dejian
1996
Absolute stability theory and the synchronization problem. Zbl 0910.34054
Curran, P. F.; Chua, L. O.
1997
An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091
Yang, Qigui; Wei, Zhouchao; Chen, Guanrong
2010
Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052
Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O.
1993
Complex dynamical behaviors of the chaotic Chen’s system. Zbl 1046.37018
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
2003
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
2019
Monodromy and stability for nilpotent critical points. Zbl 1088.34021
Álvarez, M. J.; Gasull, A.
2005
A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509
Mao, Yaobin; Chen, Guanrong; Lian, Shiguo
2004
More spatial games. Zbl 0884.90147
Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M.
1994
Chaos of travelling waves in a discrete chain of diffusively coupled maps. Zbl 0870.58049
Afraimovich, V. S.; Nekorkin, V. I.
1994
Local bifurcations of the Chen system. Zbl 1047.34044
Lü, Jinhu; Zhou, Tianshou; Chen, Guanrong; Zhang, Suochun
2002
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
1999
Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090
Sushko, Iryna; Gardini, Laura
2010
Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015
Li, Chunbiao; Sprott, Julien Clinton
2014
Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072
Shil’nikov, Leonid P.
1994
Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509
Liao, Xiaoxin; Chen, Guanrong
2003
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J.
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
2010
Lévy flight superdiffusion: an introduction. Zbl 1157.82300
Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V.
2008
An adaptive approach to the control and synchronization of continuous-time chaotic systems. Zbl 0900.70413
Di Bernardo, Mario
1996
Finite difference methods for fractional differential equations. Zbl 1258.34018
Li, Changpin; Zeng, Fanhai
2012
Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133
Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto
1992
Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364
Shilnikov, Andrey; Kolomiets, Marina
2008
Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114
Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong
2014
Hidden hyperchaotic attractors in a modified Lorenz-Stenflo system with only one stable equilibrium. Zbl 1302.34017
Wei, Zhouchao; Zhang, Wei
2014
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
2005
A unified Lorenz-type system and its canonical form. Zbl 1185.37088
Yang, Qigui; Chen, Guangrong; Zhou, Tianshou
2006
CNN: A vision of complexity. Zbl 0901.68138
Chua, Leon O.
1997
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.
1995
Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031
Gasull, Armengol; Torregrosa, Joan
2003
Classification of chaos in 3-D autonomous quadratic systems. I. Basic framework and methods. Zbl 1185.37092
Zhou, Tianshou; Chen, Guangrong
2006
Spread spectrum communication through modulation of chaos. Zbl 0870.94002
Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O.
1993
Normal forms and Lorenz attractors. Zbl 0885.58080
Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V.
1993
Deterministic chaos seen in terms of feedback circuits: analysis, synthesis, “labyrinth chaos”. Zbl 1089.37512
Thomas, R.
1999
Peakons and their bifurcation in a generalized Camassa-Holm equation. Zbl 1090.37554
Liu, Zhengrong; Qian, Tifei
2001
Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524
Yu, P.; Han, M.
2005
A unified chaotic system with various coexisting attractors. Zbl 1462.37041
Lai, Qiang
2021
Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 1461.35031
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong
2021
Coexisting infinite equilibria and chaos. Zbl 1469.34060
Li, Chunbiao; Peng, Yuxuan; Tao, Ze; Sprott, Julien Clinton; Jafari, Sajad
2021
The generalization of the periodic orbit dividing surface in Hamiltonian systems with three or more degrees of freedom. I. Zbl 1479.37085
Katsanikas, Matthaios; Wiggins, Stephen
2021
Global dynamics of a Holling-II amensalism system with nonlinear growth rate and Allee effect on the first species. Zbl 1460.92173
Luo, Demou; Wang, Qiru
2021
Minimal universal model for chaos in laser with feedback. Zbl 1464.37088
Meucci, Riccardo; Euzzor, Stefano; Tito Arecchi, F.; Ginoux, Jean-Marc
2021
Torus-breakdown near a heteroclinic attractor: a case study. Zbl 1479.37052
Castro, Luísa; Rodrigues, Alexandre
2021
Extreme multistability and antimonotonicity in a Shinriki oscillator with two flux-controlled memristors. Zbl 1478.34060
Min, Fuhong; Cheng, Yizi; Lu, Lei; Li, Xinya
2021
The generalization of the periodic orbit dividing surface for Hamiltonian systems with three or more degrees of freedom – II. Zbl 1481.37070
Katsanikas, Matthaios; Wiggins, Stephen
2021
Planar Kolmogorov systems coming from spatial Lotka-Volterra systems. Zbl 07414124
Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria
2021
Complex dynamics and periodic oscillation mechanism in two novel gene expression models with state-dependent delays. Zbl 1481.34098
Wang, Shuo; Pei, Lijun
2021
Dynamics of a food chain model with two infected predators. Zbl 1459.92160
Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
2021
Rare energy-conservative attractors on global invariant hypersurfaces and their multistability. Zbl 1465.34019
Hu, Jianbing; Qi, Guoyuan; Wang, Ze; Chen, Guanrong
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 07443112
Katsanikas, M.; Agaoglou, M.; Wiggins, S.
2021
Bifurcation analysis of a delay-induced predator-prey model with Allee effect and prey group defense. Zbl 1471.92274
Ye, Yong; Zhao, Yi
2021
Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. Zbl 07395176
Ke, Ai; Han, Maoan
2021
Synchronization and pattern formation in a memristive diffusive neuron model. Zbl 1471.92078
Sharma, Sanjeev Kumar; Mondal, Arnab; Mondal, Argha; Upadhyay, Ranjit Kumar; Ma, Jun
2021
Nonlinear stability of equilibrium points in the planar equilateral restricted mass-unequal four-body problem. Zbl 1477.70019
Zepeda Ramírez, José Alejandro; Alvarez-Ramírez, Martha; García, Antonio
2021
The bifurcations of the critical points and the role of depth in a symmetric Caldera potential energy surface. Zbl 1481.37056
Geng, Y.; Katsanikas, M.; Agaoglou, M.; Wiggins, S.
2021
Dynamics of a DC motor-driving arm with a circular periodic potential and DC/AC voltage input. Zbl 1477.70005
Kouam Tagne, R. F.; Fotsa, R. Tsapla; Woafo, P.
2021
Coexisting infinitely many nonchaotic attractors in a memristive weight-based tabu learning neuron. Zbl 1480.34061
Hou, Liping; Bao, Han; Xu, Quan; Chen, Mo; Bao, Bocheng
2021
Breaking the symmetry in queues with delayed information. Zbl 1470.90023
Doldo, Philip; Pender, Jamol; Rand, Richard
2021
Chaotic dynamics of partial difference equations with polynomial maps. Zbl 1471.39015
Guo, Haihong; Liang, Wei
2021
Limit cycles in discontinuous planar piecewise linear systems separated by a nonregular line of center-center type. Zbl 1479.34061
Zhao, Qianqian; Wang, Cheng; Yu, Jiang
2021
Quasiperiodic-chaotic neural networks and short-term analog memory. Zbl 1462.37101
Ichinose, Natsuhiro
2021
Spatiotemporal complexity analysis for a space-time discrete generalized toxic-phytoplankton-zooplankton model with self-diffusion and cross-diffusion. Zbl 1459.37091
Zhong, Shihong; Wang, Jinliang; Bao, Junhua; Li, You; Jiang, Nan
2021
Recurrent misconceptions in the study of CA reversibility on triangular grids. Zbl 07321545
Wolnik, Barbara; Dziemiańczuk, Maciej; De Baets, Bernard
2021
Presence of megastability and infinitely many equilibria in a periodically and quasi-periodically excited single-link manipulator. Zbl 1469.34068
Singh, Jay Prakash; Koley, Jit; Lochan, Kshetrimayum; Roy, Binoy Krishna
2021
Quadratic differential systems with a finite saddle-node and an infinite saddle-node $$(1,1)SN$$-(A). Zbl 1477.34054
Artés, Joan C.; Mota, Marcos C.; Rezende, Alex C.
2021
Topological equivalence classification of balanced linearly separable Boolean functions on $$n$$-dimensional hypercube. Zbl 07321565
He, Qinbin; Chen, Fangyue; Jin, Wei
2021
Nonlinear phenomena in axially moving beams with speed-dependent tension and tension-dependent speed. Zbl 1462.74078
Chen, Ling; Tang, You-Qi; Liu, Shuang; Zhou, Yuan; Liu, Xing-Guang
2021
Evolutionary dynamics of cooperation in a corrupt society with anti-corruption control. Zbl 1460.91207
Liu, Linjie; Chen, Xiaojie
2021
Effect of a mode of update on universality class for coupled logistic maps: directed Ising to Ising class. Zbl 1467.82044
Deshmukh, Ankosh D.; Shambharkar, Nitesh D.; Gade, Prashant M.
2021
Complex dynamics of an eco-epidemic system with disease in prey species. Zbl 1460.92180
Shaikh, Absos Ali; Das, Harekrishna; Ali, Nijamuddin
2021
Bifurcations in a predator-prey model of Leslie-type with simplified Holling type IV functional response. Zbl 1458.92071
Zhang, Jun; Su, Juan
2021
Stability and bifurcation in an SI epidemic model with additive Allee effect and time delay. Zbl 1460.92211
Lv, Yangyang; Chen, Lijuan; Chen, Fengde; Li, Zhong
2021
A new memristive chaotic system with a plane and two lines of equilibria. Zbl 1469.34070
Wang, Zhen; Khalaf, Abdul Jalil M.; Jafari, Sajad; Panahi, Shirin; Li, Chunbiao; Hussain, Iqtadar
2021
Complex dynamics of a Filippov three-species food chain model. Zbl 1469.37060
Hamdallah, Soliman A. A.; Arafa, Ayman A.; Tang, Sanyi; Xu, Yong
2021
Effect of self feedback on mean-field coupled oscillators: revival and quenching of oscillations. Zbl 1467.93108
Chakraborty, Saumen; Dandapathak, Manaj; De Sarkar, Saumendra Sankar
2021
Two-dimensional manifolds of controlled Chen system. Zbl 1467.93151
Ma, Suqi
2021
Complex bursting patterns in a van der Pol-Mathieu-Duffing oscillator. Zbl 1469.34054
Ma, Xindong; Song, Jin; Wei, Mengke; Han, Xiujing; Bi, Qinsheng
2021
Global dynamics of an ecosystem in open advective environments. Zbl 1466.92232
Nie, Hua; Liu, Chenrui; Wang, Zhiguo
2021
Stochastic simulation on a minimal model of cancer immunoediting theory. Zbl 1462.92028
Núñez-López, Mayra; Hernández-López, Eymard; Delgado, Joaquín
2021
Complexity and control of multichannel supply chain under carbon tax policy. Zbl 1466.90014
Tian, Yi; Ma, Junhai; Wang, Zongxian; Xie, Lei
2021
Fast-slow variable dissection with two slow variables: a case study on bifurcations underlying bursting for seizure and spreading depression. Zbl 1466.92038
Ma, Kaihua; Gu, Huaguang; Zhao, Zhiguo
2021
Dynamics of infectious diseases: local versus global awareness. Zbl 1471.34102
Tiwari, Pankaj Kumar; Rai, Rajanish Kumar; Misra, Arvind Kumar; Chattopadhyay, Joydev
2021
Analysis of geometric invariants for three types of bifurcations in 2D differential systems. Zbl 1471.34070
Liu, Yongjian; Li, Chunbiao; Liu, Aimin
2021
Controlling infectious diseases: the decisive phase effect on a seasonal vaccination strategy. Zbl 1478.92114
Duarte, Jorge; Januário, Cristina; Martins, Nuno; Seoane, Jesús M.; Sanjuán, Miguel A. F.
2021
Analysis and modeling of nonlinear effects in constant-frequency peak-current control. Zbl 1478.93438
Glišić, Marija; Pejović, Predrag
2021
Stability and bifurcation in a predator-prey system with prey-taxis. Zbl 1435.35395
Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi
2020
Hopf bifurcation for semilinear FDEs in general Banach spaces. Zbl 1447.35038
Li, Shangzhi; Guo, Shangjiang
2020
Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type. Zbl 1478.34037
Wang, Jiafu; He, Su; Huang, Lihong
2020
Tilting and squeezing: phase space geometry of Hamiltonian saddle-node bifurcation and its influence on chemical reaction dynamics. Zbl 1442.37069
García-Garrido, Víctor J.; Naik, Shibabrat; Wiggins, Stephen
2020
Global dynamics of a Lotka-Volterra competition diffusion system with nonlocal effects. Zbl 1439.35267
Han, Bang-Sheng; Yang, Yinghui; Bo, Wei-Jian; Tang, Huiling
2020
Four-wing hidden attractors with one stable equilibrium point. Zbl 1446.34023
Deng, Quanli; Wang, Chunhua; Yang, Linmao
2020
Patterns in a modified Leslie-Gower model with Beddington-DeAngelis functional response and nonlocal prey competition. Zbl 1446.35220
Gao, Jianping; Guo, Shangjiang
2020
Dynamic pricing game under different channel power structures in a closed-loop supply chain. Zbl 1443.91015
Ma, Junhai; Zhang, Fang; Jiang, Hui
2020
An asymmetric image encryption algorithm based on a fractional-order chaotic system and the RSA public-key cryptosystem. Zbl 1459.94151
Ye, Guodong; Jiao, Kaixin; Wu, Huishan; Pan, Chen; Huang, Xiaoling
2020
A new 4D four-wing memristive hyperchaotic system: dynamical analysis, electronic circuit design, shape synchronization and secure communication. Zbl 1450.37094
Yu, Fei; Qian, Shuai; Chen, Xi; Huang, Yuanyuan; Liu, Li; Shi, Changqiong; Cai, Shuo; Song, Yun; Wang, Chunhua
2020
High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. Zbl 1436.34035
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
2020
Memristor synapse-based Morris-Lecar model: bifurcation analyses and FPGA-based validations for periodic and chaotic bursting/spiking firings. Zbl 1441.34054
Bao, Han; Zhu, Dong; Liu, Wenbo; Xu, Quan; Chen, Mo; Bao, Bocheng
2020
Bifurcations of negative responses to positive feedback current mediated by memristor in a neuron model with bursting patterns. Zbl 1446.34069
Wu, Fuqiang; Gu, Huaguang
2020
The mean sensitivity and mean equicontinuity in uniform spaces. Zbl 1448.37012
Wu, Xinxing; Liang, Shudi; Ma, Xin; Lu, Tianxiu; Ahmadi, Seyyed Alireza
2020
Rich bifurcation structure of prey-predator model induced by the Allee effect in the growth of generalist predator. Zbl 1446.34067
Sen, Deeptajyoti; Petrovskii, Sergei; Ghorai, S.; Banerjee, Malay
2020
The proto-Lorenz system in its chaotic fractional and fractal structure. Zbl 1452.37086
Doungmo Goufo, Emile Franc
2020
A new route to strange nonchaotic attractors in an interval map. Zbl 07192276
Zhang, Yongxiang; Shen, Yunzhu
2020
Detection of dynamical matching in a Caldera Hamiltonian system using Lagrangian descriptors. Zbl 1460.37076
Katsanikas, Matthaios; García-Garrido, Víctor J.; Wiggins, S.
2020
An extension of discrete Lagrangian descriptors for unbounded maps. Zbl 1445.37059
García-Garrido, Víctor J.
2020
Period-bubbling transition to chaos in thermo-viscoelastic fluid systems. Zbl 1446.34065
Layek, G. C.; Pati, N. C.
2020
A dynamic duopoly game with content providers’ bounded rationality. Zbl 1447.91064
Garmani, Hamid; Omar, Driss Ait; El Amrani, Mohamed; Baslam, Mohamed; Jourhmane, Mostafa
2020
Turing pattern induced by cross-diffusion in a predator-prey model with pack predation-herd behavior. Zbl 1448.92257
Yang, Jingen; Zhang, Tonghua; Yuan, Sanling
2020
Extreme multistability and complex dynamics of a memristor-based chaotic system. Zbl 1448.34097
Chang, Hui; Li, Yuxia; Chen, Guanrong; Yuan, Fang
2020
Hamiltonian-based energy analysis for brushless DC motor chaotic system. Zbl 1448.37063
Faradja, Philippe; Qi, Guoyuan
2020
Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in $$\mathbb{C}^2$$. Zbl 1446.34001
Giné, Jaume; Llibre, Jaume
2020
Dynamic evolution, synchronization and multistability in an advertising game model with homogeneous products and spillover effect. Zbl 1448.37130
Wang, Wenrui; Zhou, Wei; Xia, Libin
2020
Stability and Turing patterns in a predator-prey model with hunting cooperation and Allee effect in prey population. Zbl 1448.92249
Song, Danxia; Song, Yongli; Li, Chao
2020
High-order analysis of canard explosion in the Brusselator equations. Zbl 1447.34023
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
2020
Stability analysis and bifurcation control of a delayed incommensurate fractional-order gene regulatory network. Zbl 1446.34101
Liu, Feng; Dong, Ting; Guan, Zhi-Hong; Wang, Hua O.
2020
Overcoming oscillation quenching via mean-field feedback. Zbl 1446.34095
Zhao, Nannan; Sun, Zhongkui
2020
Turing instability and pattern formation in a strongly coupled diffusive predator-prey system. Zbl 1445.35036
Hu, Guangping; Feng, Zhaosheng
2020
Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. Zbl 1453.34047
da Fonseca, Alexander Fernandes; Llibre, Jaume; Mello, Luis Fernando
2020
Hopf bifurcation and stability crossing curve in a planktonic resource-consumer system with double delays. Zbl 1455.37073
Jiang, Zhichao; Guo, Yanfen
2020
Hidden attractors with conditional symmetry. Zbl 1455.37027
Li, Chunbiao; Sun, Jiayu; Sprott, Julien Clinton; Lei, Tengfei
2020
The structural stability of maps with heteroclinic repellers. Zbl 1455.37020
Chen, Yuanlong; Li, Liangliang; Wu, Xiaoying; Wang, Feng
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 1466.37030
Kamdjeu Kengne, L.; Njitacke, Z. Tabekoueng; Pone, J. R. Mboupda; Tagne, H. T. Kamdem
2020
Bifurcations and exact solutions for a class of MKdV equations with the conformable fractional derivative via dynamical system method. Zbl 1436.34034
Liang, Jianli; Tang, Longkun; Xia, Yonghui; Zhang, Yi
2020
Completing the study of traveling wave solutions for three two-component shallow water wave models. Zbl 1444.34004
Li, Jibin; Chen, Guanrong; Song, Jie
2020
Bifurcation analysis of phytoplankton and zooplankton interaction system with two delays. Zbl 1445.34120
Jiang, Zhichao; Dai, Jiangtao; Zhang, Tongqian
2020
Picard-Fuchs equation applied to quadratic isochronous systems with two switching lines. Zbl 1445.34041
Yang, Jihua
2020
A new category of three-dimensional chaotic flows with identical eigenvalues. Zbl 1445.34038
Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C.
2020
Fear induced stabilization in an intraguild predation model. Zbl 1446.34064
Hossain, Mainul; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev
2020
Sensitivity and chaoticity on nonautonomous dynamical systems. Zbl 1458.37027
Li, Nan; Wang, Lidong
2020
Exploring the location and linear stability of the equilibrium points in the equilateral restricted four-body problem. Zbl 1460.70010
Zotos, Euaggelos E.
2020
Bifurcation and potential landscape of p53 dynamics depending on PDCD5 level and ATM degradation rate. Zbl 1451.37111
bi, Yuanhong; Liu, Quansheng; Wang, Lixin; Yang, Wuritu; Wu, Xinwei
2020
Temporal forcing induced pattern transitions near the Turing-Hopf bifurcation in a plankton system. Zbl 1447.35041
Wang, Wen; Liu, Shutang; Liu, Zhibin; Wang, Da
2020
Bifurcations of solitary waves of a simple equation. Zbl 1447.35103
Yang, Jiaopeng; Liu, Rui; Chen, Yiren
2020
Exact peakon, periodic peakon and pseudo-peakon solutions of the rotation-two-component Camassa-Holm system. Zbl 1447.35106
Li, Jibin; Chen, Guanrong; Zhou, Yan
2020
Time-reversible chaotic system with conditional symmetry. Zbl 1446.34025
Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian
2020
Impacts of multiple time delays on a gene regulatory network mediated by small noncoding RNA. Zbl 1446.34102
Liu, Ming; Meng, Fanwei; Hu, Dongpo
2020
Finding method and analysis of hidden chaotic attractors for plasma chaotic system from physical and mechanistic perspectives. Zbl 1447.34054
Yang, Yingjuan; Qi, Guoyuan; Hu, Jianbing; Faradja, Philippe
2020
...and 1186 more Documents
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. J. 44 Zhang, Tonghua 43 Bashkirtseva, Irina Adol’fovna 43 Krauskopf, Bernd 43 Kumar Upadhyay, Ranjit 43 Li, Chuandong 42 Osinga, Hinke Maria 42 Qi, Guoyuan 42 Rajagopal, Karthikeyan 42 Sanjuán, Miguel A. F. 42 Valero, José 41 Li, Changpin 40 Danca, Marius-Florin 39 Chen, Zengqiang 39 Ponce, Enrique 39 Volos, Christos K. 39 Wang, Bixiang 39 Zhou, Shengfan 38 Liu, Shutang 38 Sun, Ji Tao 37 Letellier, Christophe 37 Ouannas, Adel 37 Torregrosa, Joan 37 Zhang, Fuchen 36 Freire Macías, Emilio 36 Wang, Zhen 35 Andres, Jan 35 Awrejcewicz, Jan 35 Billings, Stephen A. 35 Park, Juhyun (Jessie) 34 Feng, Zhaosheng 34 Kengne, Jacques 34 Li, Chunbiao 33 Bao, Bocheng 33 Fang, Jian’an 33 Wiggins, Stephen 32 Caraballo Garrido, Tomás 32 Grebogi, Celso 32 Huang, Wentao 32 Kuznetsov, Sergey P. 32 Liu, Zhengrong 32 Lu, Jianquan 32 Mosekilde, Erik 32 Wu, Ranchao 32 Xia, Yonghui 32 Xu, Jian 31 Aguirre, Luis Antonio 31 Fu, Xinchu 31 Huang, Tingwen 31 Shi, Yuming 31 Xiong, Yanqin 31 Zhang, Xiang 30 Ashwin, Peter 30 Guan, Zhihong 30 Kloeden, Peter Eris 30 Ma, Junhai 30 Teixeira, Marco Antonio 29 Bowong, Samuel 29 Lakshmanan, Muthusamy ...and 19,892 more Authors
all top 5

### Cited in 764 Journals

 3,566 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,482 Chaos, Solitons and Fractals 1,009 Chaos 903 Nonlinear Dynamics 573 Physica D 570 Communications in Nonlinear Science and Numerical Simulation 509 Applied Mathematics and Computation 311 Journal of Mathematical Analysis and Applications 262 Journal of Differential Equations 230 Mathematical Problems in Engineering 224 Advances in Difference Equations 203 Nonlinear Analysis. Real World Applications 199 Discrete Dynamics in Nature and Society 195 Journal of the Franklin Institute 175 Abstract and Applied Analysis 172 Discrete and Continuous Dynamical Systems. Series B 161 Journal of Difference Equations and Applications 160 Complexity 152 Qualitative Theory of Dynamical Systems 149 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 144 Mathematics and Computers in Simulation 134 Journal of Computational and Applied Mathematics 132 Applied Mathematical Modelling 130 SIAM Journal on Applied Dynamical Systems 120 Computers & Mathematics with Applications 117 Neural Networks 114 Journal of Theoretical Biology 112 Physics Letters. A 106 Physica A 104 Automatica 99 Journal of Fluid Mechanics 94 Journal of Dynamics and Differential Equations 94 Journal of Nonlinear Science 94 Dynamical Systems 93 Discrete and Continuous Dynamical Systems 88 Journal of Applied Analysis and Computation 87 Regular and Chaotic Dynamics 86 International Journal of Modern Physics B 71 International Journal of Control 66 Journal of Mathematical Biology 66 Mathematical Biosciences 65 Nonlinearity 63 Fractals 60 Bulletin of Mathematical Biology 60 Applied Mathematics Letters 59 Journal of Computational Physics 59 Celestial Mechanics and Dynamical Astronomy 58 Information Sciences 58 Proceedings of the American Mathematical Society 58 Mathematical Biosciences and Engineering 56 Journal of Mathematical Physics 55 Nonlinear Analysis. Hybrid Systems 54 Mathematical and Computer Modelling 54 Journal of Applied Mathematics 53 Topology and its Applications 53 Neural Computation 52 Biological Cybernetics 51 Mathematical Methods in the Applied Sciences 50 Advances in Mathematical Physics 48 International Journal of Biomathematics 47 Ergodic Theory and Dynamical Systems 42 International Journal of Modern Physics C 42 Discrete and Continuous Dynamical Systems. Series S 39 International Journal of Computer Mathematics 39 Physics of Fluids 38 Journal of Statistical Physics 38 Journal of Vibration and Control 37 Systems & Control Letters 37 Bulletin des Sciences Mathématiques 37 Doklady Mathematics 36 Differential Equations 36 International Journal of Systems Science. Principles and Applications of Systems and Integration 35 Acta Mechanica 35 Computer Methods in Applied Mechanics and Engineering 35 International Journal of Systems Science 35 Circuits, Systems, and Signal Processing 34 Applied Mathematics and Mechanics. (English Edition) 34 Acta Mathematicae Applicatae Sinica. English Series 34 Differential Equations and Dynamical Systems 34 Nonlinear Analysis. Modelling and Control 34 Asian Journal of Control 33 International Journal of Circuit Theory and Applications 33 Transactions of the American Mathematical Society 33 Acta Applicandae Mathematicae 33 Computational and Applied Mathematics 32 Journal of Applied Mathematics and Computing 31 Meccanica 31 Foundations of Computational Mathematics 30 Journal of Mathematical Sciences (New York) 29 Applicable Analysis 29 Journal of Computational Neuroscience 29 Stochastics and Dynamics 29 Communications on Pure and Applied Analysis 28 Fractional Calculus & Applied Analysis 27 Modern Physics Letters B 27 Dynamics and Stability of Systems 27 Acta Mathematica Sinica. English Series 27 Entropy 27 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 26 Kybernetika ...and 664 more Journals
all top 5

### Cited in 62 Fields

 8,195 Dynamical systems and ergodic theory (37-XX) 7,618 Ordinary differential equations (34-XX) 3,540 Biology and other natural sciences (92-XX) 3,158 Systems theory; control (93-XX) 1,987 Partial differential equations (35-XX) 1,410 Information and communication theory, circuits (94-XX) 1,307 Numerical analysis (65-XX) 1,220 Mechanics of particles and systems (70-XX) 761 Computer science (68-XX) 674 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 594 Fluid mechanics (76-XX) 514 Probability theory and stochastic processes (60-XX) 499 Difference and functional equations (39-XX) 491 Mechanics of deformable solids (74-XX) 394 Statistical mechanics, structure of matter (82-XX) 325 Real functions (26-XX) 306 Statistics (62-XX) 302 Operations research, mathematical programming (90-XX) 297 Operator theory (47-XX) 217 Combinatorics (05-XX) 212 Measure and integration (28-XX) 198 General topology (54-XX) 179 Calculus of variations and optimal control; optimization (49-XX) 178 Optics, electromagnetic theory (78-XX) 150 Quantum theory (81-XX) 137 Geophysics (86-XX) 125 Functions of a complex variable (30-XX) 125 Global analysis, analysis on manifolds (58-XX) 81 Classical thermodynamics, heat transfer (80-XX) 74 Integral equations (45-XX) 67 Linear and multilinear algebra; matrix theory (15-XX) 60 Mathematical logic and foundations (03-XX) 56 Algebraic geometry (14-XX) 52 Differential geometry (53-XX) 50 Approximations and expansions (41-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 49 Number theory (11-XX) 46 Special functions (33-XX) 43 Astronomy and astrophysics (85-XX) 39 Functional analysis (46-XX) 38 General and overarching topics; collections (00-XX) 32 History and biography (01-XX) 31 Manifolds and cell complexes (57-XX) 27 Relativity and gravitational theory (83-XX) 23 Several complex variables and analytic spaces (32-XX) 19 Field theory and polynomials (12-XX) 19 Commutative algebra (13-XX) 19 Group theory and generalizations (20-XX) 18 Convex and discrete geometry (52-XX) 14 Algebraic topology (55-XX) 13 Topological groups, Lie groups (22-XX) 12 Integral transforms, operational calculus (44-XX) 11 Nonassociative rings and algebras (17-XX) 9 Potential theory (31-XX) 8 Geometry (51-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Abstract harmonic analysis (43-XX) 5 Mathematics education (97-XX) 4 Sequences, series, summability (40-XX) 2 Category theory; homological algebra (18-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX)