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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
Comments: Journal
Documents Indexed: 6,434 Publications (since 1991)
References Indexed: 5,548 Publications with 149,785 References.
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Latest Issues

32, No. 12 (2022)
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...and 267 more Volumes
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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
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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

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. Zbl 1504.34030
Pessoa, Claudio; Ribeiro, Ronisio
1
2022
Bifurcation analysis of multiscale malaria model with Serratia AS1 bacteria and saturated treatment. Zbl 1497.92308
Wang, Jing; Zhao, Hongyong
1
2022
The Gardner problem and cycle slipping bifurcation for type-2 phase-locked loops. Zbl 1503.34097
Kuznetsov, Nikolay V.; Arseniev, Dmitry G.; Blagov, Mikhail V.; Lobachev, Mikhail Y.; Wei, Zhouchao; Yuldashev, Marat V.; Yuldashev, Renat V.
1
2022
Phase space transport in a symmetric Caldera potential with three index-1 saddles and no minima. Zbl 1506.37100
Katsanikas, Matthaios; Agaoglou, Makrina; Wiggins, Stephen; Mancho, Ana M.
1
2022
Limit cycles in discontinuous piecewise linear planar Hamiltonian systems without equilibrium points. Zbl 1507.34034
Li, Zhengkang; Liu, Xingbo
1
2022
Stability and bifurcation analysis of fractional-order delayed prey-predator system and the effect of diffusion. Zbl 1493.34222
Kumar, Vikas; Kumari, Nitu
1
2022
Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I. Zbl 1497.34056
Ghermoul, Bilal; Llibre, Jaume; Salhi, Tayeb
1
2022
Nonlinear dynamics and bifurcation analysis of a hinged-clamped beam under parametric and internal resonances. Zbl 07491223
Sahoo, Bamadev
1
2022
Periodic solutions of an infected-age structured HIV model with the latent factor and different transmission modes. Zbl 1486.92279
Shen, Chunke; Xu, Fei; Zhang, Jia-Fang
1
2022
Complex dynamics of pricing game model in a dual-channel closed-loop supply chain with delay decision. Zbl 1485.90017
Zhang, Yuhao; Zhang, Tao
1
2022
The birth of a hidden attractor through boundary crisis. Zbl 1487.37066
Yan, Hanxueyu; Jiang, Jun; Hong, Ling
1
2022
Persistence and bifurcation analysis of a plankton ecosystem with cross-diffusion and double delays. Zbl 1486.92317
Jiang, Zhichao; Nie, Mingwei
1
2022
Explosive transition in coupled oscillators through mixed attractive-repulsive interactions. Zbl 1494.34117
Liu, Shutong; Sun, Zhongkui; Zhao, Nannan; Xu, Wei
1
2022
Transition to chaos in five-dimensional porous-medium thermal-hydrodynamic model with low Prandtl number. Zbl 1493.37104
Beljadid, Abdelaziz; Joundy, Youssef; Rouah, Hamza; Taik, Ahmed
1
2022
A new generalized Hamiltonian chaotic system with transient quasi-periodic flows and intermittent chaos. Zbl 1493.37076
Jia, Hongyan; Chen, Zhonggao; Shi, Wenxin; Qi, Guoyuan
1
2022
Global phase diagrams of three point vortices. Zbl 07491265
Luo, Qian; Chen, Yufei; Liu, Qihuai
1
2022
A note on the nonlinear stability of equilibrium points in the planar equilateral restricted mass-unequal four-body problem. Zbl 1492.70011
Zepeda Ramírez, José Alejandro; Alvarez-Ramírez, Martha; García, Antonio
1
2022
An infinite sequence of bitransitive Sierpiński carpets for \(z\mapsto\lambda(z+\frac{1}{z})\). Zbl 1496.37042
Look, Daniel M.
1
2022
Bifurcations and exact solutions of the nonlinear Schrödinger equation with nonlinear dispersion. Zbl 1507.35266
Zhang, Qiuyan; Zhou, Yuqian; Li, Jibin
1
2022
On the bounds of Lyapunov exponents for fractional differential systems with an exponential kernel. Zbl 07614857
N’Gbo, N’Gbo; Tang, Jianhua
1
2022
Turing pattern dynamics in an SI epidemic model with superdiffusion. Zbl 1500.92114
Sarker, Ronobir Chandra; Sahani, Saroj Kumar
1
2022
Bifurcations in asymptotically autonomous Hamiltonian systems subject to multiplicative noise. Zbl 1506.34075
Sultanov, Oskar A.
1
2022
Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 1461.35031
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong
13
2021
A unified chaotic system with various coexisting attractors. Zbl 1462.37041
Lai, Qiang
10
2021
Codimension-one and -two bifurcations of a three-dimensional discrete game model. Zbl 1462.39014
Eskandari, Zohreh; Alidousti, Javad; Ghaziani, Reza Khoshsiar
10
2021
Fear induced multistability in a predator-prey model. Zbl 1475.37103
Pati, N. C.; Garai, Shilpa; Hossain, Mainul; Layek, G. C.; Pal, Nikhil
9
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.
9
2021
Complex dynamics of a four-dimensional circuit system. Zbl 1484.34122
Wang, Haijun; Fan, Hongdan; Pan, Jun
8
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
7
2021
Coexisting infinite equilibria and chaos. Zbl 1469.34060
Li, Chunbiao; Peng, Yuxuan; Tao, Ze; Sprott, Julien Clinton; Jafari, Sajad
7
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
6
2021
Global dynamics of an ecosystem in open advective environments. Zbl 1466.92232
Nie, Hua; Liu, Chenrui; Wang, Zhiguo
6
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
6
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 1485.37054
Katsanikas, M.; Agaoglou, M.; Wiggins, S.
5
2021
Rare energy-conservative attractors on global invariant hypersurfaces and their multistability. Zbl 1465.34019
Hu, Jianbing; Qi, Guoyuan; Wang, Ze; Chen, Guanrong
5
2021
Minimal universal model for chaos in laser with feedback. Zbl 1464.37088
Meucci, Riccardo; Euzzor, Stefano; Tito Arecchi, F.; Ginoux, Jean-Marc
5
2021
Dynamics of infectious diseases: local versus global awareness. Zbl 1471.34102
Tiwari, Pankaj Kumar; Rai, Rajanish Kumar; Misra, Arvind Kumar; Chattopadhyay, Joydev
5
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
5
2021
Bifurcation analysis of a delay-induced predator-prey model with Allee effect and prey group defense. Zbl 1471.92274
Ye, Yong; Zhao, Yi
5
2021
Stability and bifurcation analysis of a commensal model with additive Allee effect and nonlinear growth rate. Zbl 1472.92191
Wei, Zhen; Xia, Yonghui; Zhang, Tonghua
5
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.
5
2021
On existence and bifurcations of periodic motions in discontinuous dynamical systems. Zbl 1464.37051
Guo, Siyu; Luo, Albert C. J.
4
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
4
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
4
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
4
2021
Damped perturbations of systems with center-saddle bifurcation. Zbl 1482.34108
Sultanov, Oskar A.
4
2021
Torus-breakdown near a heteroclinic attractor: a case study. Zbl 1479.37052
Castro, Luísa; Rodrigues, Alexandre
4
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
4
2021
Bifurcations and exact traveling wave solutions of two shallow water two-component systems. Zbl 1456.35163
Li, Jibin; Chen, Guanrong; Zhou, Yan
4
2021
Dynamics of a food chain model with two infected predators. Zbl 1459.92160
Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
4
2021
The extended 16th Hilbert problem for discontinuous piecewise linear centers separated by a nonregular line. Zbl 1490.34036
Esteban, Marina; Llibre, Jaume; Valls, Claudia
3
2021
Hopf bifurcation in a delayed single species network system. Zbl 1461.35036
Wu, Ranchao; Zhang, Chuanying; Feng, Zhaosheng
3
2021
Complex dynamics of an eco-epidemic system with disease in prey species. Zbl 1460.92180
Shaikh, Absos Ali; Das, Harekrishna; Ali, Nijamuddin
3
2021
New double bifurcation of nilpotent focus. Zbl 1467.37048
Li, Feng; Li, Hongwei; Liu, Yuanyuan
3
2021
Bifurcations in a predator-prey model of Leslie-type with simplified Holling type IV functional response. Zbl 1458.92071
Zhang, Jun; Su, Juan
3
2021
Generalized Lorenz canonical form revisited. Zbl 1467.93048
Čelikovský, Sergej; Chen, Guanrong
3
2021
Analysis of geometric invariants for three types of bifurcations in 2D differential systems. Zbl 1471.34070
Liu, Yongjian; Li, Chunbiao; Liu, Aimin
3
2021
Turing instability and Hopf bifurcation in cellular neural networks. Zbl 1471.34094
Li, Zunxian; Xia, Chengyi
3
2021
Switching between dissipative and conservative behaviors in a modified hyperchaotic system with the variation of its parameter. Zbl 1493.34045
Singh, Jay Prakash; Rajagopal, Karthikeyan; Roy, Binoy Krishna
3
2021
Complex dynamics in a closed-loop supply chain with risk aversion and fairness concerns under supply disruption. Zbl 1470.90008
Zhang, Yuhao; Zhang, Tao
3
2021
Chaotic dynamics of partial difference equations with polynomial maps. Zbl 1471.39015
Guo, Haihong; Liang, Wei
3
2021
Nonlinear dynamics of suspended cables under periodic excitation in thermal environments: two-to-one internal resonance. Zbl 1487.74056
Zhao, Yaobing; Lin, Henghui
3
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
3
2021
A simple guide for plotting a proper bifurcation diagram. Zbl 1469.37058
Jafari, Ali; Hussain, Iqtadar; Nazarimehr, Fahimeh; Golpayegani, Seyed Mohammad Reza Hashemi; Jafari, Sajad
3
2021
A stochastic hierarchical population system: excitement, extinction and transition to chaos. Zbl 1484.34112
Bashkirtseva, Irina; Perevalova, Tatyana; Ryashko, Lev
2
2021
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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
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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
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50 Luo, Albert C. J.
49 Avrutin, Viktor
49 Krauskopf, Bernd
48 Grassi, Giuseppe
48 Lu, Junan
48 Zhang, Tonghua
47 Rodríguez-Luis, Alejandro J.
46 Osinga, Hinke Maria
45 Liu, Yirong
45 Ponce, Enrique
44 Danca, Marius-Florin
44 Li, Chuandong
44 Lu, Jinhu
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44 Valero, José
43 Caraballo Garrido, Tomás
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42 Chen, Zengqiang
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42 Volos, Christos K.
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41 Freire Macías, Emilio
41 Ma, Jun
41 Zhou, Shengfan
40 Wiggins, Stephen R.
40 Xia, Yonghui
39 Letellier, Christophe
39 Torregrosa, Joan
39 Wu, Ranchao
38 Awrejcewicz, Jan
38 Bao, Bocheng
38 Huang, Wentao
38 Song, Yongli
38 Sun, Ji Tao
38 Zhang, Fuchen
38 Zhang, Xiang
37 Andres, Jan
37 Kengne, Jacques
37 Teixeira, Marco Antonio
37 Wang, Zhen
36 Lu, Jianquan
36 Park, Juhyun (Jessie)
36 Xu, Jian
35 Billings, Stephen A.
35 Gonchenko, Sergey V.
35 Grebogi, Celso
35 Kloeden, Peter Eris
35 Simpson, David John Warwick
35 Wang, Xiong
35 Xiong, Yanqin
34 Feng, Zhaosheng
33 Aguirre, Luis Antonio
33 Fang, Jian’an
33 Huang, Tingwen
33 Li, Feng
33 Ma, Junhai
33 Sushko, Iryna
33 Zhao, Yulin
32 Ashwin, Peter
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