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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.
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Latest Issues

32, No. 5 (2022)
32, No. 4 (2022)
32, No. 3 (2022)
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27, No. 14 (2017)
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26, No. 14 (2016)
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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
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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
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Fields

3,320 Dynamical systems and ergodic theory (37-XX)
2,638 Ordinary differential equations (34-XX)
1,207 Biology and other natural sciences (92-XX)
758 Information and communication theory, circuits (94-XX)
592 Systems theory; control (93-XX)
522 Partial differential equations (35-XX)
459 Mechanics of particles and systems (70-XX)
294 Computer science (68-XX)
223 Numerical analysis (65-XX)
188 Fluid mechanics (76-XX)
175 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
174 Statistical mechanics, structure of matter (82-XX)
141 Difference and functional equations (39-XX)
127 Mechanics of deformable solids (74-XX)
109 Optics, electromagnetic theory (78-XX)
103 Statistics (62-XX)
84 Operations research, mathematical programming (90-XX)
73 Probability theory and stochastic processes (60-XX)
67 Measure and integration (28-XX)
54 Geophysics (86-XX)
44 Quantum theory (81-XX)
43 Global analysis, analysis on manifolds (58-XX)
40 Operator theory (47-XX)
38 Classical thermodynamics, heat transfer (80-XX)
36 General and overarching topics; collections (00-XX)
33 General topology (54-XX)
32 Combinatorics (05-XX)
31 Real functions (26-XX)
21 Functions of a complex variable (30-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
17 Number theory (11-XX)
16 Manifolds and cell complexes (57-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 Astronomy and astrophysics (85-XX)
10 Differential geometry (53-XX)
9 History and biography (01-XX)
9 Approximations and expansions (41-XX)
9 Integral equations (45-XX)
7 Mathematical logic and foundations (03-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Special functions (33-XX)
7 Relativity and gravitational theory (83-XX)
5 Nonassociative rings and algebras (17-XX)
5 Integral transforms, operational calculus (44-XX)
5 Convex and discrete geometry (52-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Topological groups, Lie groups (22-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Algebraic geometry (14-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Mathematics education (97-XX)

Publications by Year

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
844
1999
A new chaotic attractor coined. Zbl 1063.34510
Lü, Jinhu; Chen, Guanrong
590
2002
Neural excitability, spiking and bursting. Zbl 1090.92505
Izhikevich, Eugene M.
314
2000
Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026
Li, Jibin
304
2003
Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej
295
2002
Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. Zbl 1270.34003
Leonov, G. A.; Kuznetsov, N. V.
236
2013
One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029
Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A.
236
2003
Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443
Rowley, C. W.
172
2005
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
160
1996
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
159
2008
Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038
Lü, Jinhu; Chen, Guanrong
153
2006
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
144
2001
Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
140
1991
On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023
Čelikovský, Sergej; Chen, Guanrong
140
2002
Bifurcation analysis of Chen’s equation. Zbl 1090.37531
Ueta, Tetsushi; Chen, Guanrong
134
2000
Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065
Freire, Emilio; Ponce, Enrique; Rodrigo, Francisco; Torres, Francisco
124
1998
A new chaotic system and beyond: the generalized Lorenz-like system. Zbl 1129.37323
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan
123
2004
Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088
Alvarez, Gonzalo; Li, Shujun
123
2006
Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060
Nusse, Helena E.; Yorke, James A.
122
1995
Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019
Fridrich, Jiri
118
1998
Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U.
117
1992
Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561
Wang, Xiao Fan
112
2002
Simple chaotic flows with one stable equilibrium. Zbl 1284.34064
Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi
110
2013
The spatial dilemmas of evolution. Zbl 0870.92011
Nowak, Martin A.; May, Robert M.
106
1993
A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004
Wu, Chai Wah; Chua, Leon O.
105
1993
A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445
Wu, Chai Wah; Chua, Leon O.
104
1994
On a class of singular nonlinear traveling wave equations. Zbl 1158.35080
Li, Jibin; Chen, Guanrong
103
2007
Riddled basins. Zbl 0870.58046
Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I.
101
1992
Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506
Chen, Guanrong; Zhou, Jin; Liu, Zengrong
101
2004
Implementing memristor based chaotic circuits. Zbl 1193.94082
Muthuswamy, Bharathwaj
95
2010
Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
93
1991
Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015
Jiao, Feng; Zhou, Yong
90
2012
From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076
Chen, Guanrong; Dong, Xiaoning
88
1993
Dynamical analysis of a new chaotic attractor. Zbl 1044.37021
Lü, Jinhu; Chen, Guanrong; Zhang, Suochun
87
2002
Time-varying linearization and the Perron effects. Zbl 1142.34033
Leonov, G. A.; Kuznetsov, N. V.
87
2007
Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111
Li, Chunbiao; Sprott, J. C.
86
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
84
2017
Transmission of digital signals by chaotic synchronization. Zbl 0870.94011
Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A.
83
1992
A survey of methods for computing (un)stable manifolds of vector fields. Zbl 1086.34002
Krauskopf, B.; Osinga, H. M.; Doedel, E. J.; Henderson, M. E.; Guckenheimer, J.; Vladimirsky, A.; Dellnitz, M.; Junge, O.
81
2005
Bifurcation control: theories, methods, and applications. Zbl 1090.37552
Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O.
80
2000
Families of scroll grid attractors. Zbl 1044.37029
Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar
79
2002
A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306
Yang, Qigui; Chen, Guanrong
78
2008
Feedback anticontrol of discrete chaos. Zbl 0941.93522
Chen, Guanrong; Lai, Dejian
76
1998
Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082
Liu, Xia; Han, Maoan
72
2010
Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319
Abrams, Daniel M.; Strogatz, Steven H.
70
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.
69
2003
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
69
2009
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
68
1996
New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026
Cafagna, Donato; Grassi, Giuseppe
67
2003
Chen’s attractor exists. Zbl 1129.37326
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
65
2004
Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E.
65
2007
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
64
1994
Nonlinear time sequence analysis. Zbl 0874.58029
Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten
64
1991
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
63
2000
Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037
Kapitaniak, Tomasz; Chua, Leon O.
63
1994
On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182
Wu, Chai Wah; Yang, Tao; Chua, Leon O.
62
1996
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
62
2009
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
61
2001
Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374
Yang, Tao; Chua, Leon O.
60
1997
Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597
Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A.
60
2004
Steps toward unmasking secure communications. Zbl 0875.94002
Short, Kevin M.
59
1994
A new chaotic system and its generators. Zbl 1078.37504
Liu, Wenbo; Chen, Guanrong
59
2003
Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006
Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D.
59
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
56
2012
Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157
Chen, Guanrong; Lai, Dejian
56
1996
Absolute stability theory and the synchronization problem. Zbl 0910.34054
Curran, P. F.; Chua, L. O.
56
1997
An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091
Yang, Qigui; Wei, Zhouchao; Chen, Guanrong
56
2010
Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052
Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O.
55
1993
Complex dynamical behaviors of the chaotic Chen’s system. Zbl 1046.37018
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
55
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
54
2019
Monodromy and stability for nilpotent critical points. Zbl 1088.34021
Álvarez, M. J.; Gasull, A.
54
2005
A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509
Mao, Yaobin; Chen, Guanrong; Lian, Shiguo
54
2004
More spatial games. Zbl 0884.90147
Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M.
53
1994
Chaos of travelling waves in a discrete chain of diffusively coupled maps. Zbl 0870.58049
Afraimovich, V. S.; Nekorkin, V. I.
53
1994
Local bifurcations of the Chen system. Zbl 1047.34044
Lü, Jinhu; Zhou, Tianshou; Chen, Guanrong; Zhang, Suochun
53
2002
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
53
1999
Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090
Sushko, Iryna; Gardini, Laura
53
2010
Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015
Li, Chunbiao; Sprott, Julien Clinton
52
2014
Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072
Shil’nikov, Leonid P.
52
1994
Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509
Liao, Xiaoxin; Chen, Guanrong
52
2003
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J.
52
2010
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
52
2010
Lévy flight superdiffusion: an introduction. Zbl 1157.82300
Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V.
51
2008
An adaptive approach to the control and synchronization of continuous-time chaotic systems. Zbl 0900.70413
Di Bernardo, Mario
51
1996
Finite difference methods for fractional differential equations. Zbl 1258.34018
Li, Changpin; Zeng, Fanhai
51
2012
Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133
Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto
50
1992
Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364
Shilnikov, Andrey; Kolomiets, Marina
49
2008
Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114
Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong
49
2014
Hidden hyperchaotic attractors in a modified Lorenz-Stenflo system with only one stable equilibrium. Zbl 1302.34017
Wei, Zhouchao; Zhang, Wei
48
2014
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
48
2005
A unified Lorenz-type system and its canonical form. Zbl 1185.37088
Yang, Qigui; Chen, Guangrong; Zhou, Tianshou
48
2006
CNN: A vision of complexity. Zbl 0901.68138
Chua, Leon O.
47
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.
47
1995
Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031
Gasull, Armengol; Torregrosa, Joan
47
2003
Classification of chaos in 3-D autonomous quadratic systems. I. Basic framework and methods. Zbl 1185.37092
Zhou, Tianshou; Chen, Guangrong
47
2006
Spread spectrum communication through modulation of chaos. Zbl 0870.94002
Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O.
46
1993
Normal forms and Lorenz attractors. Zbl 0885.58080
Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V.
46
1993
Deterministic chaos seen in terms of feedback circuits: analysis, synthesis, “labyrinth chaos”. Zbl 1089.37512
Thomas, R.
46
1999
Peakons and their bifurcation in a generalized Camassa-Holm equation. Zbl 1090.37554
Liu, Zhengrong; Qian, Tifei
46
2001
Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524
Yu, P.; Han, M.
46
2005
A unified chaotic system with various coexisting attractors. Zbl 1462.37041
Lai, Qiang
5
2021
Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 1461.35031
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong
5
2021
Coexisting infinite equilibria and chaos. Zbl 1469.34060
Li, Chunbiao; Peng, Yuxuan; Tao, Ze; Sprott, Julien Clinton; Jafari, Sajad
4
2021
The generalization of the periodic orbit dividing surface in Hamiltonian systems with three or more degrees of freedom. I. Zbl 1479.37085
Katsanikas, Matthaios; Wiggins, Stephen
3
2021
Global dynamics of a Holling-II amensalism system with nonlinear growth rate and Allee effect on the first species. Zbl 1460.92173
Luo, Demou; Wang, Qiru
3
2021
Minimal universal model for chaos in laser with feedback. Zbl 1464.37088
Meucci, Riccardo; Euzzor, Stefano; Tito Arecchi, F.; Ginoux, Jean-Marc
3
2021
Torus-breakdown near a heteroclinic attractor: a case study. Zbl 1479.37052
Castro, Luísa; Rodrigues, Alexandre
2
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
2
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
2
2021
Planar Kolmogorov systems coming from spatial Lotka-Volterra systems. Zbl 07414124
Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria
2
2021
Complex dynamics and periodic oscillation mechanism in two novel gene expression models with state-dependent delays. Zbl 1481.34098
Wang, Shuo; Pei, Lijun
2
2021
Dynamics of a food chain model with two infected predators. Zbl 1459.92160
Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
2
2021
Rare energy-conservative attractors on global invariant hypersurfaces and their multistability. Zbl 1465.34019
Hu, Jianbing; Qi, Guoyuan; Wang, Ze; Chen, Guanrong
2
2021
Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state bifurcation. Zbl 07443112
Katsanikas, M.; Agaoglou, M.; Wiggins, S.
2
2021
Bifurcation analysis of a delay-induced predator-prey model with Allee effect and prey group defense. Zbl 1471.92274
Ye, Yong; Zhao, Yi
1
2021
Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. Zbl 07395176
Ke, Ai; Han, Maoan
1
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
1
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
1
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.
1
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.
1
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
1
2021
Breaking the symmetry in queues with delayed information. Zbl 1470.90023
Doldo, Philip; Pender, Jamol; Rand, Richard
1
2021
Chaotic dynamics of partial difference equations with polynomial maps. Zbl 1471.39015
Guo, Haihong; Liang, Wei
1
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
1
2021
Quasiperiodic-chaotic neural networks and short-term analog memory. Zbl 1462.37101
Ichinose, Natsuhiro
1
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
1
2021
Recurrent misconceptions in the study of CA reversibility on triangular grids. Zbl 07321545
Wolnik, Barbara; Dziemiańczuk, Maciej; De Baets, Bernard
1
2021
Presence of megastability and infinitely many equilibria in a periodically and quasi-periodically excited single-link manipulator. Zbl 1469.34068
Singh, Jay Prakash; Koley, Jit; Lochan, Kshetrimayum; Roy, Binoy Krishna
1
2021
Quadratic differential systems with a finite saddle-node and an infinite saddle-node \((1,1)SN\)-(A). Zbl 1477.34054
Artés, Joan C.; Mota, Marcos C.; Rezende, Alex C.
1
2021
Topological equivalence classification of balanced linearly separable Boolean functions on \(n\)-dimensional hypercube. Zbl 07321565
He, Qinbin; Chen, Fangyue; Jin, Wei
1
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
1
2021
Evolutionary dynamics of cooperation in a corrupt society with anti-corruption control. Zbl 1460.91207
Liu, Linjie; Chen, Xiaojie
1
2021
Effect of a mode of update on universality class for coupled logistic maps: directed Ising to Ising class. Zbl 1467.82044
Deshmukh, Ankosh D.; Shambharkar, Nitesh D.; Gade, Prashant M.
1
2021
Complex dynamics of an eco-epidemic system with disease in prey species. Zbl 1460.92180
Shaikh, Absos Ali; Das, Harekrishna; Ali, Nijamuddin
1
2021
Bifurcations in a predator-prey model of Leslie-type with simplified Holling type IV functional response. Zbl 1458.92071
Zhang, Jun; Su, Juan
1
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
1
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
1
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
1
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
1
2021
Two-dimensional manifolds of controlled Chen system. Zbl 1467.93151
Ma, Suqi
1
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
1
2021
Global dynamics of an ecosystem in open advective environments. Zbl 1466.92232
Nie, Hua; Liu, Chenrui; Wang, Zhiguo
1
2021
Stochastic simulation on a minimal model of cancer immunoediting theory. Zbl 1462.92028
Núñez-López, Mayra; Hernández-López, Eymard; Delgado, Joaquín
1
2021
Complexity and control of multichannel supply chain under carbon tax policy. Zbl 1466.90014
Tian, Yi; Ma, Junhai; Wang, Zongxian; Xie, Lei
1
2021
Fast-slow variable dissection with two slow variables: a case study on bifurcations underlying bursting for seizure and spreading depression. Zbl 1466.92038
Ma, Kaihua; Gu, Huaguang; Zhao, Zhiguo
1
2021
Dynamics of infectious diseases: local versus global awareness. Zbl 1471.34102
Tiwari, Pankaj Kumar; Rai, Rajanish Kumar; Misra, Arvind Kumar; Chattopadhyay, Joydev
1
2021
Analysis of geometric invariants for three types of bifurcations in 2D differential systems. Zbl 1471.34070
Liu, Yongjian; Li, Chunbiao; Liu, Aimin
1
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.
1
2021
Analysis and modeling of nonlinear effects in constant-frequency peak-current control. Zbl 1478.93438
Glišić, Marija; Pejović, Predrag
1
2021
Stability and bifurcation in a predator-prey system with prey-taxis. Zbl 1435.35395
Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi
16
2020
Hopf bifurcation for semilinear FDEs in general Banach spaces. Zbl 1447.35038
Li, Shangzhi; Guo, Shangjiang
11
2020
Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type. Zbl 1478.34037
Wang, Jiafu; He, Su; Huang, Lihong
11
2020
Tilting and squeezing: phase space geometry of Hamiltonian saddle-node bifurcation and its influence on chemical reaction dynamics. Zbl 1442.37069
García-Garrido, Víctor J.; Naik, Shibabrat; Wiggins, Stephen
11
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
10
2020
Four-wing hidden attractors with one stable equilibrium point. Zbl 1446.34023
Deng, Quanli; Wang, Chunhua; Yang, Linmao
10
2020
Patterns in a modified Leslie-Gower model with Beddington-DeAngelis functional response and nonlocal prey competition. Zbl 1446.35220
Gao, Jianping; Guo, Shangjiang
9
2020
Dynamic pricing game under different channel power structures in a closed-loop supply chain. Zbl 1443.91015
Ma, Junhai; Zhang, Fang; Jiang, Hui
9
2020
An asymmetric image encryption algorithm based on a fractional-order chaotic system and the RSA public-key cryptosystem. Zbl 1459.94151
Ye, Guodong; Jiao, Kaixin; Wu, Huishan; Pan, Chen; Huang, Xiaoling
8
2020
A new 4D four-wing memristive hyperchaotic system: dynamical analysis, electronic circuit design, shape synchronization and secure communication. Zbl 1450.37094
Yu, Fei; Qian, Shuai; Chen, Xi; Huang, Yuanyuan; Liu, Li; Shi, Changqiong; Cai, Shuo; Song, Yun; Wang, Chunhua
7
2020
High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. Zbl 1436.34035
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
7
2020
Memristor synapse-based Morris-Lecar model: bifurcation analyses and FPGA-based validations for periodic and chaotic bursting/spiking firings. Zbl 1441.34054
Bao, Han; Zhu, Dong; Liu, Wenbo; Xu, Quan; Chen, Mo; Bao, Bocheng
7
2020
Bifurcations of negative responses to positive feedback current mediated by memristor in a neuron model with bursting patterns. Zbl 1446.34069
Wu, Fuqiang; Gu, Huaguang
7
2020
The mean sensitivity and mean equicontinuity in uniform spaces. Zbl 1448.37012
Wu, Xinxing; Liang, Shudi; Ma, Xin; Lu, Tianxiu; Ahmadi, Seyyed Alireza
6
2020
Rich bifurcation structure of prey-predator model induced by the Allee effect in the growth of generalist predator. Zbl 1446.34067
Sen, Deeptajyoti; Petrovskii, Sergei; Ghorai, S.; Banerjee, Malay
5
2020
The proto-Lorenz system in its chaotic fractional and fractal structure. Zbl 1452.37086
Doungmo Goufo, Emile Franc
5
2020
A new route to strange nonchaotic attractors in an interval map. Zbl 07192276
Zhang, Yongxiang; Shen, Yunzhu
5
2020
Detection of dynamical matching in a Caldera Hamiltonian system using Lagrangian descriptors. Zbl 1460.37076
Katsanikas, Matthaios; García-Garrido, Víctor J.; Wiggins, S.
4
2020
An extension of discrete Lagrangian descriptors for unbounded maps. Zbl 1445.37059
García-Garrido, Víctor J.
4
2020
Period-bubbling transition to chaos in thermo-viscoelastic fluid systems. Zbl 1446.34065
Layek, G. C.; Pati, N. C.
4
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
4
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
4
2020
Extreme multistability and complex dynamics of a memristor-based chaotic system. Zbl 1448.34097
Chang, Hui; Li, Yuxia; Chen, Guanrong; Yuan, Fang
4
2020
Hamiltonian-based energy analysis for brushless DC motor chaotic system. Zbl 1448.37063
Faradja, Philippe; Qi, Guoyuan
4
2020
Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in \(\mathbb{C}^2\). Zbl 1446.34001
Giné, Jaume; Llibre, Jaume
4
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
3
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
3
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.
3
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.
3
2020
Overcoming oscillation quenching via mean-field feedback. Zbl 1446.34095
Zhao, Nannan; Sun, Zhongkui
3
2020
Turing instability and pattern formation in a strongly coupled diffusive predator-prey system. Zbl 1445.35036
Hu, Guangping; Feng, Zhaosheng
3
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
3
2020
Hopf bifurcation and stability crossing curve in a planktonic resource-consumer system with double delays. Zbl 1455.37073
Jiang, Zhichao; Guo, Yanfen
3
2020
Hidden attractors with conditional symmetry. Zbl 1455.37027
Li, Chunbiao; Sun, Jiayu; Sprott, Julien Clinton; Lei, Tengfei
3
2020
The structural stability of maps with heteroclinic repellers. Zbl 1455.37020
Chen, Yuanlong; Li, Liangliang; Wu, Xiaoying; Wang, Feng
3
2020
The effects of a constant excitation force on the dynamics of an infinite-equilibrium chaotic system without linear terms: analysis, control and circuit simulation. Zbl 1466.37030
Kamdjeu Kengne, L.; Njitacke, Z. Tabekoueng; Pone, J. R. Mboupda; Tagne, H. T. Kamdem
3
2020
Bifurcations and exact solutions for a class of MKdV equations with the conformable fractional derivative via dynamical system method. Zbl 1436.34034
Liang, Jianli; Tang, Longkun; Xia, Yonghui; Zhang, Yi
3
2020
Completing the study of traveling wave solutions for three two-component shallow water wave models. Zbl 1444.34004
Li, Jibin; Chen, Guanrong; Song, Jie
3
2020
Bifurcation analysis of phytoplankton and zooplankton interaction system with two delays. Zbl 1445.34120
Jiang, Zhichao; Dai, Jiangtao; Zhang, Tongqian
3
2020
Picard-Fuchs equation applied to quadratic isochronous systems with two switching lines. Zbl 1445.34041
Yang, Jihua
3
2020
A new category of three-dimensional chaotic flows with identical eigenvalues. Zbl 1445.34038
Faghani, Zahra; Nazarimehr, Fahimeh; Jafari, Sajad; Sprott, Julien C.
3
2020
Fear induced stabilization in an intraguild predation model. Zbl 1446.34064
Hossain, Mainul; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev
3
2020
Sensitivity and chaoticity on nonautonomous dynamical systems. Zbl 1458.37027
Li, Nan; Wang, Lidong
2
2020
Exploring the location and linear stability of the equilibrium points in the equilateral restricted four-body problem. Zbl 1460.70010
Zotos, Euaggelos E.
2
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
2
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
2
2020
Bifurcations of solitary waves of a simple equation. Zbl 1447.35103
Yang, Jiaopeng; Liu, Rui; Chen, Yiren
2
2020
Exact peakon, periodic peakon and pseudo-peakon solutions of the rotation-two-component Camassa-Holm system. Zbl 1447.35106
Li, Jibin; Chen, Guanrong; Zhou, Yan
2
2020
Time-reversible chaotic system with conditional symmetry. Zbl 1446.34025
Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian
2
2020
Impacts of multiple time delays on a gene regulatory network mediated by small noncoding RNA. Zbl 1446.34102
Liu, Ming; Meng, Fanwei; Hu, Dongpo
2
2020
Finding method and analysis of hidden chaotic attractors for plasma chaotic system from physical and mechanistic perspectives. Zbl 1447.34054
Yang, Yingjuan; Qi, Guoyuan; Hu, Jianbing; Faradja, Philippe
2
2020
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311 Chen, Guanrong
236 Llibre, Jaume
148 Han, Maoan
124 Li, Jibin
116 Cao, Jinde
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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
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203 Nonlinear Analysis. Real World Applications
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160 Complexity
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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)

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