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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: 6,130 Publications (since 1991)
References Indexed: 5,245 Publications with 138,666 References.
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Latest Issues

31, No. 11 (2021)
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24, No. 12 (2014)
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...and 250 more Volumes
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Authors

175 Chua, Leon Ong
165 Chen, Guanrong
85 Li, Jibin
68 Llibre, Jaume
55 Yu, Pei
50 Han, Maoan
48 Sprott, Julien Clinton
42 Jafari, Sajad
42 Kurths, Jürgen
39 Aihara, Kazuyuki
39 Mira, Christian
33 Gardini, Laura
33 Itoh, Makoto
31 Yang, Xiaosong
31 Zhang, Wei
30 Luo, Albert C. J.
28 Pham, Viet-Thanh
28 Sanjuán, Miguel A. F.
26 Kapitaniak, Tomasz
25 Fortuna, Luigi
25 Lakshmanan, Muthusamy
24 Grassi, Giuseppe
23 Grebogi, Celso
22 Wei, Junjie
21 Billings, Stephen A.
21 Feng, Zhaosheng
21 Freire Macías, Emilio
21 Mees, Alistair I.
21 Ponce, Enrique
20 Awrejcewicz, Jan
20 Frasca, Mattia
20 Holden, Arun V.
20 Lu, Jinhu
20 Stewart, Ian Nicholas
20 Tse, Chi Kong
19 Wiggins, Stephen
19 Yu, Simin
18 Adamatzky, Andrew I.
18 Danca, Marius-Florin
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 Liao, Xiaofeng
17 Parlitz, Ulrich
17 Xu, Wei
16 Bountis, Tassos C.
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 Brown, Ray
15 Doedel, Eusebius J.
15 Fournier-Prunaret, Danièle
15 Guo, Shangjiang
15 Kim, Hyongsuk
15 Kocarev, Ljupco
15 Li, Changpin
15 Li, Chunbiao
15 Ma, Junhai
15 Mosekilde, Erik
15 Rinaldi, Sergio
15 Sbitnev, Valery I.
15 Ueta, Tetsushi
15 Wei, Zhouchao
15 Yang, Tao
15 Zhang, Tonghua
14 Avrutin, Viktor
14 Bashkirtseva, Irina Adol’fovna
14 Bi, Qinsheng
14 Bollt, Erik M.
14 Cafagna, Donato
14 Chen, Fengjuan
14 Kuznetsov, Nikolay Vladimirovich
14 Lai, Yingcheng
14 Liu, Zhong
14 Nekorkin, Vladimir I.
14 Ryashko, Lev Borisovich
14 Starkov, Konstantin E.
14 Wu, Xinxing
14 Xu, Jian
13 Bao, Bocheng
13 Barbé, André M.
13 Bilotta, Eleonora
13 Buscarino, Arturo
13 Chen, Goong
13 Hsu, Cheng-Hsiung
13 Krauskopf, Bernd
13 Maistrenko, Yuri L.
13 Nazarimehr, Fahimeh
13 Nijmeijer, Henk
13 Pantano, Pietro
...and 7,579 more Authors
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Fields

3,244 Dynamical systems and ergodic theory (37-XX)
2,537 Ordinary differential equations (34-XX)
1,157 Biology and other natural sciences (92-XX)
734 Information and communication theory, circuits (94-XX)
587 Systems theory; control (93-XX)
505 Partial differential equations (35-XX)
443 Mechanics of particles and systems (70-XX)
292 Computer science (68-XX)
222 Numerical analysis (65-XX)
184 Fluid mechanics (76-XX)
172 Statistical mechanics, structure of matter (82-XX)
160 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
137 Difference and functional equations (39-XX)
118 Mechanics of deformable solids (74-XX)
104 Optics, electromagnetic theory (78-XX)
101 Statistics (62-XX)
78 Operations research, mathematical programming (90-XX)
71 Probability theory and stochastic processes (60-XX)
65 Measure and integration (28-XX)
54 Geophysics (86-XX)
45 Quantum theory (81-XX)
42 Global analysis, analysis on manifolds (58-XX)
38 Classical thermodynamics, heat transfer (80-XX)
36 Operator theory (47-XX)
35 General and overarching topics; collections (00-XX)
32 General topology (54-XX)
31 Combinatorics (05-XX)
29 Real functions (26-XX)
20 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 Astronomy and astrophysics (85-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
9 History and biography (01-XX)
9 Approximations and expansions (41-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 Relativity and gravitational theory (83-XX)
6 Special functions (33-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 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

4,495 Publications have been cited 35,297 times in 17,623 Documents Cited by Year
Yet another chaotic attractor. Zbl 0962.37013
Chen, Guanrong; Ueta, Tetsushi
818
1999
A new chaotic attractor coined. Zbl 1063.34510
Lü, Jinhu; Chen, Guanrong
576
2002
Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej
292
2002
Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026
Li, Jibin
288
2003
Neural excitability, spiking and bursting. Zbl 1090.92505
Izhikevich, Eugene M.
278
2000
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.
218
2013
One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029
Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A.
205
2003
Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443
Rowley, C. W.
154
2005
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
150
2008
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
147
1996
Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038
Lü, Jinhu; Chen, Guanrong
143
2006
On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023
Čelikovský, Sergej; Chen, Guanrong
139
2002
Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
137
1991
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
133
2001
Bifurcation analysis of Chen’s equation. Zbl 1090.37531
Ueta, Tetsushi; Chen, Guanrong
129
2000
Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U.
116
1992
A new chaotic system and beyond: the generalized Lorenz-like system. Zbl 1129.37323
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan
116
2004
Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060
Nusse, Helena E.; Yorke, James A.
115
1995
Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065
Freire, Emilio; Ponce, Enrique; Rodrigo, Francisco; Torres, Francisco
111
1998
Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019
Fridrich, Jiri
107
1998
Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561
Wang, Xiao Fan
107
2002
Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088
Alvarez, Gonzalo; Li, Shujun
105
2006
A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445
Wu, Chai Wah; Chua, Leon O.
104
1994
A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004
Wu, Chai Wah; Chua, Leon O.
103
1993
Simple chaotic flows with one stable equilibrium. Zbl 1284.34064
Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi
98
2013
Riddled basins. Zbl 0870.58046
Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I.
97
1992
The spatial dilemmas of evolution. Zbl 0870.92011
Nowak, Martin A.; May, Robert M.
94
1993
On a class of singular nonlinear traveling wave equations. Zbl 1158.35080
Li, Jibin; Chen, Guanrong
94
2007
Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506
Chen, Guanrong; Zhou, Jin; Liu, Zengrong
93
2004
Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
92
1991
Implementing memristor based chaotic circuits. Zbl 1193.94082
Muthuswamy, Bharathwaj
89
2010
From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076
Chen, Guanrong; Dong, Xiaoning
87
1993
Dynamical analysis of a new chaotic attractor. Zbl 1044.37021
Lü, Jinhu; Chen, Guanrong; Zhang, Suochun
85
2002
Transmission of digital signals by chaotic synchronization. Zbl 0870.94011
Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A.
84
1992
Time-varying linearization and the Perron effects. Zbl 1142.34033
Leonov, G. A.; Kuznetsov, N. V.
82
2007
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.
78
2005
Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111
Li, Chunbiao; Sprott, J. C.
78
2014
Families of scroll grid attractors. Zbl 1044.37029
Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar
76
2002
A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306
Yang, Qigui; Chen, Guanrong
76
2008
Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015
Jiao, Feng; Zhou, Yong
76
2012
Bifurcation control: theories, methods, and applications. Zbl 1090.37552
Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O.
75
2000
Feedback anticontrol of discrete chaos. Zbl 0941.93522
Chen, Guanrong; Lai, Dejian
74
1998
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
71
2017
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
67
1996
New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026
Cafagna, Donato; Grassi, Giuseppe
65
2003
Chen’s attractor exists. Zbl 1129.37326
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
65
2004
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
65
2009
Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E.
64
2007
Nonlinear time sequence analysis. Zbl 0874.58029
Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten
63
1991
Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037
Kapitaniak, Tomasz; Chua, Leon O.
62
1994
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
62
1994
On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182
Wu, Chai Wah; Yang, Tao; Chua, Leon O.
62
1996
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.
62
2003
Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374
Yang, Tao; Chua, Leon O.
60
1997
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
60
2000
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
59
2009
Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006
Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D.
58
1998
Steps toward unmasking secure communications. Zbl 0875.94002
Short, Kevin M.
58
1994
Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597
Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A.
58
2004
A new chaotic system and its generators. Zbl 1078.37504
Liu, Wenbo; Chen, Guanrong
58
2003
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
58
2001
Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082
Liu, Xia; Han, Maoan
57
2010
Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157
Chen, Guanrong; Lai, Dejian
55
1996
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
54
2003
Absolute stability theory and the synchronization problem. Zbl 0910.34054
Curran, P. F.; Chua, L. O.
54
1997
An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091
Yang, Qigui; Wei, Zhouchao; Chen, Guanrong
54
2010
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
53
2012
Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072
Shil’nikov, Leonid P.
52
1994
Chaos of travelling waves in a discrete chain of diffusively coupled maps. Zbl 0870.58049
Afraimovich, V. S.; Nekorkin, V. I.
52
1994
Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509
Liao, Xiaoxin; Chen, Guanrong
52
2003
Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319
Abrams, Daniel M.; Strogatz, Steven H.
52
2006
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
51
1999
An adaptive approach to the control and synchronization of continuous-time chaotic systems. Zbl 0900.70413
Di Bernardo, Mario
51
1996
More spatial games. Zbl 0884.90147
Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M.
50
1994
Monodromy and stability for nilpotent critical points. Zbl 1088.34021
Álvarez, M. J.; Gasull, A.
50
2005
Local bifurcations of the Chen system. Zbl 1047.34044
Lü, Jinhu; Zhou, Tianshou; Chen, Guanrong; Zhang, Suochun
50
2002
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
50
2010
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J.
50
2010
Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133
Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto
49
1992
Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015
Li, Chunbiao; Sprott, Julien Clinton
49
2014
Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090
Sushko, Iryna; Gardini, Laura
48
2010
Spread spectrum communication through modulation of chaos. Zbl 0870.94002
Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O.
47
1993
A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509
Mao, Yaobin; Chen, Guanrong; Lian, Shiguo
47
2004
Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114
Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong
47
2014
A unified Lorenz-type system and its canonical form. Zbl 1185.37088
Yang, Qigui; Chen, Guangrong; Zhou, Tianshou
47
2006
Finite difference methods for fractional differential equations. Zbl 1258.34018
Li, Changpin; Zeng, Fanhai
47
2012
Hidden hyperchaotic attractors in a modified Lorenz-Stenflo system with only one stable equilibrium. Zbl 1302.34017
Wei, Zhouchao; Zhang, Wei
47
2014
CNN: A vision of complexity. Zbl 0901.68138
Chua, Leon O.
46
1997
Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524
Yu, P.; Han, M.
46
2005
Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364
Shilnikov, Andrey; Kolomiets, Marina
46
2008
A gallery of attractors from smooth Chua’s equation. Zbl 1069.94523
Tsuneda, Akio
45
2005
Basin bifurcations of two-dimensional noninvertible maps: Fractalization of basins. Zbl 0818.58032
Mira, C.; Fournier-Prunaret, D.; Gardini, L.; Kawakami, H.; Cathala, J. C.
45
1994
Normal forms and Lorenz attractors. Zbl 0885.58080
Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V.
45
1993
Classification of chaos in 3-D autonomous quadratic systems. I. Basic framework and methods. Zbl 1185.37092
Zhou, Tianshou; Chen, Guangrong
45
2006
Peakons and their bifurcation in a generalized Camassa-Holm equation. Zbl 1090.37554
Liu, Zhengrong; Qian, Tifei
45
2001
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
44
2005
Lévy flight superdiffusion: an introduction. Zbl 1157.82300
Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V.
44
2008
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.
43
1995
Bifurcations of attracting cycles from time-delayed Chua’s circuit. Zbl 0885.58059
Maistrenko, Yu. L.; Maistrenko, V. L.; Vikul, S. I.; Chua, L. O.
43
1995
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
Quadratic differential systems with a finite saddle-node and an infinite saddle-node \((1,1)SN\)-(A). Zbl 07321560
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
Oscillatory and stationary patterns in a diffusive model with delay effect. Zbl 1461.35031
Guo, Shangjiang; Li, Shangzhi; Sounvoravong, Bounsanong
1
2021
Minimal universal model for chaos in laser with feedback. Zbl 1464.37088
Meucci, Riccardo; Euzzor, Stefano; Tito Arecchi, F.; Ginoux, Jean-Marc
1
2021
Complex dynamics of a Filippov three-species food chain model. Zbl 07352633
Hamdallah, Soliman A. A.; Arafa, Ayman A.; Tang, Sanyi; Xu, Yong
1
2021
Two-dimensional manifolds of controlled Chen system. Zbl 1467.93151
Ma, Suqi
1
2021
Stability and bifurcation in a predator-prey system with prey-taxis. Zbl 1435.35395
Qiu, Huanhuan; Guo, Shangjiang; Li, Shangzhi
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
7
2020
Patterns in a modified Leslie-Gower model with Beddington-DeAngelis functional response and nonlocal prey competition. Zbl 1446.35220
Gao, Jianping; Guo, Shangjiang
7
2020
Four-wing hidden attractors with one stable equilibrium point. Zbl 1446.34023
Deng, Quanli; Wang, Chunhua; Yang, Linmao
6
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
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
5
2020
Hopf bifurcation for semilinear FDEs in general Banach spaces. Zbl 1447.35038
Li, Shangzhi; Guo, Shangjiang
5
2020
Dynamic pricing game under different channel power structures in a closed-loop supply chain. Zbl 1443.91015
Ma, Junhai; Zhang, Fang; Jiang, Hui
5
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.
4
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
4
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
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
3
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
3
2020
Period-bubbling transition to chaos in thermo-viscoelastic fluid systems. Zbl 1446.34065
Layek, G. C.; Pati, N. C.
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
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
3
2020
Turing instability and pattern formation in a strongly coupled diffusive predator-prey system. Zbl 1445.35036
Hu, Guangping; Feng, Zhaosheng
3
2020
Periodic solutions of a delayed eco-epidemiological model with infection-age structure and Holling type II functional response. Zbl 1436.35302
Yang, Peng; Wang, Yuanshi
2
2020
Unfolding codimension-two subsumed homoclinic connections in two-dimensional piecewise-linear maps. Zbl 1441.37056
Simpson, David J. W.
2
2020
Bifurcation analysis of phytoplankton and zooplankton interaction system with two delays. Zbl 1445.34120
Jiang, Zhichao; Dai, Jiangtao; Zhang, Tongqian
2
2020
Picard-Fuchs equation applied to quadratic isochronous systems with two switching lines. Zbl 1445.34041
Yang, Jihua
2
2020
Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type. Zbl 07258124
Wang, Jiafu; He, Su; Huang, Lihong
2
2020
Hopf bifurcation and stability crossing curve in a planktonic resource-consumer system with double delays. Zbl 1455.37073
Jiang, Zhichao; Guo, Yanfen
2
2020
Logical chaotic resonance in a bistable system. Zbl 1453.94033
Yao, Yuangen; Ma, Jun
2
2020
The structural stability of maps with heteroclinic repellers. Zbl 1455.37020
Chen, Yuanlong; Li, Liangliang; Wu, Xiaoying; Wang, Feng
2
2020
Fear induced stabilization in an intraguild predation model. Zbl 1446.34064
Hossain, Mainul; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev
2
2020
A new route to strange nonchaotic attractors in an interval map. Zbl 07192276
Zhang, Yongxiang; Shen, Yunzhu
2
2020
Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in \(\mathbb{C}^2\). Zbl 1446.34001
Giné, Jaume; Llibre, Jaume
2
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
2
2020
Overcoming oscillation quenching via mean-field feedback. Zbl 1446.34095
Zhao, Nannan; Sun, Zhongkui
2
2020
Symmetries of quotient networks for doubly periodic patterns on the hexagonal lattice. Zbl 1442.37056
Stewart, Ian; Gökaydin, Dinis
2
2020
Bifurcation analysis of mathematical model of prostate cancer with immunotherapy. Zbl 1448.34104
Zazoua, Assia; Zhang, Yongxin; Wang, Wendi
2
2020
Characterizing the dynamics of the watt governor system under harmonic perturbation and Gaussian noise. Zbl 1432.70050
Rosa, Lucas A. S.; Prebianca, Flavio; Hoff, Anderson; Manchein, Cesar; Albuquerque, Holokx A.
1
2020
Determining the properties of the basins of convergence in the generalized Hénon-Heiles system. Zbl 1432.37070
Zotos, Euaggelos E.; Sanam Suraj, Md.; Mittal, Amit; Aggarwal, Rajiv
1
2020
A complete investigation of the effect of external force on a 3D megastable oscillator. Zbl 1436.34010
Liu, Yongjian; Khalaf, Abdul Jalil M.; Hayat, Tasawar; Alsaedi, Ahmed; Pham, Viet-Thanh; Jafari, Sajad
1
2020
Second order Melnikov functions of piecewise Hamiltonian systems. Zbl 1436.37071
Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang
1
2020
Bifurcations of traveling wave solutions for fully nonlinear water waves with surface tension in the generalized Serre-Green-Naghdi equations. Zbl 1435.34007
Li, Jibin; Chen, Guanrong; Song, Jie
1
2020
Hopf bifurcation analysis and stability for a ratio-dependent predator-prey diffusive system with time delay. Zbl 1435.35392
Li, Longyue; Mei, Yingying; Cao, Jianzhi
1
2020
Adaptive synchronization of fractional-order coupled neurons under electromagnetic radiation. Zbl 1441.34061
Meng, Fanqi; Zeng, Xiaoqin; Wang, Zuolei; Wang, Xinjun
1
2020
A linear spline Markov approximation method for random maps with position dependent probabilities. Zbl 1445.37036
Jin, Congming; Ding, Jiu
1
2020
Continuous sequences with frequency independence generated by discrete spatiotemporal systems. Zbl 1442.39008
Tian, Chuanjun
1
2020
Independent period-2 motions to chaos in a van der Pol-Duffing oscillator. Zbl 07306747
Xu, Yeyin; Luo, Albert C. J.
1
2020
Deep learning for nonlinear time series: examples for inferring slow driving forces. Zbl 1459.37070
Hirata, Yoshito; Aihara, Kazuyuki
1
2020
Chaotification of first-order partial difference equations. Zbl 1458.39013
Liang, Wei; Guo, Haihong
1
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
1
2020
Analysis of pricing and service effort in dual-channel supply chains with showrooming effect. Zbl 1457.90008
Ma, Junhai; Li, Yaping; Wang, Zongxian
1
2020
Analysis of degenerate Chenciner bifurcation. Zbl 1460.39007
Tigan, Gheorghe; Lugojan, Sorin; Ciurdariu, Loredana
1
2020
On the scaling law of phase drift in coupled nonlinear oscillators for precision timing. Zbl 1465.34051
Palacios, Antonio; Buono, Pietro-Luciano; In, Visarath; Longhini, Patrick
1
2020
Experimentally accessible orbits near a Bykov cycle. Zbl 1450.37075
Barrio, Roberto; Carvalho, Maria; Castro, Luísa; Rodrigues, Alexandre A. P.
1
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
1
2020
Sensitivity and chaoticity on nonautonomous dynamical systems. Zbl 1458.37027
Li, Nan; Wang, Lidong
1
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
1
2020
Stochastic spiking-bursting excitability and transition to chaos in a discrete-time neuron model. Zbl 1450.37084
Bashkirtseva, Irina; Nasyrova, Venera; Ryashko, Lev
1
2020
Exploring the location and linear stability of the equilibrium points in the equilateral restricted four-body problem. Zbl 1460.70010
Zotos, Euaggelos E.
1
2020
Stability and bifurcation in discrete mechanical systems: an experimental and analytical study. Zbl 07247471
Guan, Yue; Virgin, Lawrence N.
1
2020
Detection of dynamical matching in a Caldera Hamiltonian system using Lagrangian descriptors. Zbl 1460.37076
Katsanikas, Matthaios; García-Garrido, Víctor J.; Wiggins, S.
1
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
1
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
1
2020
Global phase portraits for a planar \(\mathbb Z_2\)-equivariant Kukles systems of degree 3. Zbl 1452.37031
Dias, Fabio Scalco; Ribeiro, Ronisio Moises; Valls, Claudia
1
2020
Zero-Hopf periodic orbits for a Rössler differential system. Zbl 1453.34058
Llibre, Jaume; Makhlouf, Ammar
1
2020
Color image encryption with cipher feedback and coupling chaotic map. Zbl 1458.94050
Liu, Hongjun; Kadir, Abdurahman; Xu, Chengbo
1
2020
On the correlation dimension of discrete fractional chaotic systems. Zbl 1452.37080
Ma, Li; Liu, Xianggang; Liu, Xiaotong; Zhang, Ying; Qiu, Yu; Li, Kaiyan
1
2020
Preliminary research of chaotic characteristics and prediction of short-term wind speed time series. Zbl 1451.86015
Tian, Zhongda
1
2020
Tumor stabilization induced by t-cell recruitment fluctuations. Zbl 1448.92058
Bashkirtseva, Irina; Ryashko, Lev; López, Álvaro G.; Seoane, Jesús M.; Sanjuán, Miguel A. F.
1
2020
The proto-Lorenz system in its chaotic fractional and fractal structure. Zbl 1452.37086
Doungmo Goufo, Emile Franc
1
2020
Dynamic analysis of a population competition model with disease in one species and group defense in another species. Zbl 1448.92183
Cheng, Xue; Luo, Jianfeng; Zhao, Yi
1
2020
Milnor and topological attractors in a family of two-dimensional Lotka-Volterra maps. Zbl 1456.37049
Gardini, Laura; Tikjha, Wirot
1
2020
Hidden attractors with conditional symmetry. Zbl 1455.37027
Li, Chunbiao; Sun, Jiayu; Sprott, Julien Clinton; Lei, Tengfei
1
2020
Chaos suppression via integrative time delay control. Zbl 1457.34112
Arafa, Ayman A.; Xu, Yong; Mahmoud, Gamal M.
1
2020
Chaos generated by a class of 3D three-zone piecewise affine systems with coexisting singular cycles. Zbl 07281773
Lu, Kai; Xu, Wenjing; Yang, Qigui
1
2020
Dynamics of a discrete nonlinear prey-predator model. Zbl 1442.37106
Wang, JinRong; Fečkan, Michal
1
2020
Classification of invariant algebraic curves and nonexistence of algebraic limit cycles in quadratic systems from family \((I)\) of the Chinese classification. Zbl 1446.34047
Demina, Maria V.; Valls, Claudia
1
2020
An improved return maps method for parameter estimation of chaotic systems. Zbl 1442.37087
Peng, Yuexi; Sun, Kehui; He, Shaobo
1
2020
An extension of discrete Lagrangian descriptors for unbounded maps. Zbl 1445.37059
García-Garrido, Víctor J.
1
2020
Time-reversible chaotic system with conditional symmetry. Zbl 1446.34025
Li, Chunbiao; Sprott, Julien Clinton; Liu, Yongjian
1
2020
Positive solutions of a predator-prey model with additive Allee effect. Zbl 1446.35236
Zhang, Conghui; Yuan, Hailong
1
2020
Global analysis of stochastic systems by the digraph cell mapping method based on short-time Gaussian approximation. Zbl 1457.60109
Han, Qun; Xu, Wei; Hao, Huibing; Yue, Xiaole
1
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
1
2020
Design and Virtex-7-based implementation of video chaotic secure communications. Zbl 1457.94109
Chen, Baoju; Yu, Simin; Chen, Ping; Xiao, Liangshan; Lü, Jinhu
1
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.
1
2020
Detection and classification of solutions for systems interacting by soft impacts with sample-based method. Zbl 1446.34060
Lazarek, M.; Brzeski, P.; Solecki, W.; Perlikowski, P.
1
2020
Dynamical analysis of planetary gear transmission system under support stiffness effects. Zbl 07214511
Xiang, Ling; Deng, Zeqi; Hu, Aijun
1
2020
Dynamics of convective thermal explosion in porous media. Zbl 1443.76145
Allali, Karam; Joundy, Youssef; Taik, Ahmed; Volpert, Vitaly
1
2020
The coexisting behaviors on the boundary of a Duffing-like oscillator with signum nonlinearity and its FPGA-based implementation. Zbl 1446.34061
Min, Fuhong; Chen, Jiayun
1
2020
Multistability and hidden attractors in a three-dimensional chaotic system. Zbl 1446.34026
Yang, Ting
1
2020
Spectral and dynamic consequences of network specialization. Zbl 1442.90025
Bunimovich, Leonid; Passey, D. J.; Smith, Dallas; Webb, Benjamin
1
2020
Bifurcation analysis in a cancer growth model. Zbl 1445.34069
Chang, Yu; Wang, Xiaoli; Feng, Zhihong; Feng, Wei
1
2020
Vibrational resonance in a fractional order quintic oscillator system with time delay feedback. Zbl 1446.34097
Guo, Wen; Ning, Lijuan
1
2020
How to construct complex dynamics? A note on a topological approach. Zbl 1443.37012
Sovrano, Elisa
1
2020
Dynamics in a plankton model with toxic substances and phytoplankton harvesting. Zbl 1445.34079
Zhang, Hua; Niu, Ben
1
2020
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303 Chen, Guanrong
219 Llibre, Jaume
140 Han, Maoan
120 Li, Jibin
112 Yu, Pei
110 Cao, Jinde
93 Chua, Leon Ong
86 Gardini, Laura
82 Wang, Xingyuan
79 Liao, Xiaofeng
77 Pham, Viet-Thanh
77 Vaidyanathan, Sundarapandian
74 Kurths, Jürgen
68 Jafari, Sajad
67 Sprott, Julien Clinton
64 Zhang, Wei
63 Yang, Xiaosong
61 Aihara, Kazuyuki
61 Valls Anglés, Cláudia
60 Algaba, Antonio
57 Leonov, Gennadiĭ Alekseevich
54 Yang, Qigui
53 Xu, Wei
52 Kapitaniak, Tomasz
50 Wei, Junjie
49 Giné, Jaume
47 Lu, Junan
46 Kuznetsov, Nikolay Vladimirovich
45 Liu, Yirong
45 Lu, Jinhu
44 Wei, Zhouchao
43 Gasull, Armengol
43 Grassi, Giuseppe
43 Kashchenko, Sergeĭ Aleksandrovich
43 Krauskopf, Bernd
43 Liu, Xinzhi
42 Osinga, Hinke Maria
41 Guo, Shangjiang
41 Li, Changpin
41 Li, Chuandong
41 Luo, Albert C. J.
41 Rodríguez-Luis, Alejandro J.
40 Huang, Lihong
40 Kumar Upadhyay, Ranjit
40 Valero, José
40 Zhang, Tonghua
39 Avrutin, Viktor
39 Sanjuán, Miguel A. F.
38 Chen, Zengqiang
38 Danca, Marius-Florin
38 Ponce, Enrique
38 Ryashko, Lev Borisovich
38 Sun, Ji Tao
37 Bi, Qinsheng
37 Volos, Christos K.
37 Zhang, Fuchen
37 Zhou, Shengfan
36 Letellier, Christophe
36 Qi, Guoyuan
36 Wang, Bixiang
35 Bashkirtseva, Irina Adol’fovna
35 Billings, Stephen A.
35 Freire Macías, Emilio
35 Park, Juhyun (Jessie)
34 Awrejcewicz, Jan
34 Ouannas, Adel
34 Wang, Zhen
33 Andres, Jan
33 Fang, Jian’an
33 Feng, Zhaosheng
33 Liu, Shutang
32 Kuznetsov, Sergey P.
32 Liu, Zhengrong
32 Mosekilde, Erik
32 Torregrosa, Joan
31 Aguirre, Luis Antonio
31 Caraballo Garrido, Tomás
31 Fu, Xinchu
31 Huang, Tingwen
31 Lu, Jianquan
31 Shi, Yuming
30 Guan, Zhihong
30 Huang, Wentao
30 Xu, Jian
30 Zhang, Xiang
29 Bao, Bocheng
29 Bowong, Samuel
29 Kloeden, Peter Eris
29 Lakshmanan, Muthusamy
29 Yu, Simin
29 Zhao, Yulin
28 Grebogi, Celso
28 Kulenović, Mustafa R. S.
28 Li, Chunbiao
28 Li, Yuxia
28 Nijmeijer, Henk
28 Song, Yongli
28 Xiong, Yanqin
27 Ashwin, Peter
27 Jiang, Weihua
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