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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: 6,793 Publications (since 1991)
References Indexed: 5,906 Publications with 163,324 References.
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27, No. 14 (2017)
27, No. 13 (2017)
27, No. 12 (2017)
...and 292 more Volumes
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Authors

179 Chen, Guanrong
178 Chua, Leon Ong
97 Li, Jibin
88 Llibre, Jaume
57 Yu, Pei
56 Han, Maoan
53 Jafari, Sajad
52 Sprott, Julien Clinton
43 Kurths, Jürgen
39 Aihara, Kazuyuki
39 Mira, Christian
36 Luo, Albert C. J.
35 Yang, Xiaosong
34 Gardini, Laura
33 Itoh, Makoto
33 Wiggins, Stephen R.
33 Zhang, Wei
31 Sanjuán, Miguel A. F.
29 Pham, Viet-Thanh
27 Fortuna, Luigi
27 Rajagopal, Karthikeyan
26 Kapitaniak, Tomasz
26 Xu, Wei
25 Grebogi, Celso
25 Lakshmanan, Muthusamy
24 Grassi, Giuseppe
23 Feng, Zhaosheng
23 Li, Chunbiao
23 Wei, Junjie
22 Ponce, Enrique
22 Tse, Chi Kong
22 Yang, Qigui
21 Awrejcewicz, Jan
21 Billings, Stephen A.
21 Freire Macías, Emilio
21 Mees, Alistair I.
21 Stewart, Ian Nicholas
20 Bashkirtseva, Irina Adol’fovna
20 Frasca, Mattia
20 Holden, Arun V.
20 Katsanikas, Matthaios
19 Danca, Marius-Florin
19 Guo, Shangjiang
19 Lü, Jinhu
19 Ma, Junhai
19 Ryashko, Lev Borisovich
18 Adamatzky, Andrew I.
18 Bi, Qinsheng
18 Cao, Jinde
18 Moiola, Jorge Luis
18 Pérez-Muñuzuri, Vicente
18 Velarde, Manuel G.
18 Yu, Simin
18 Zhou, Tianshou
17 Anishchenko, Vadim Semenovich
17 Balibrea, Francisco
17 Chen, Fangyue
17 Liao, Xiaofeng
17 Parlitz, Ulrich
17 Ueta, Tetsushi
17 Wei, Zhouchao
17 Zhang, Tonghua
16 Avrutin, Viktor
16 Bountis, Tassos C.
16 Kawakami, Hiroshi
16 Leonov, Gennadiĭ Alekseevich
16 Liu, Yirong
16 Min, Lequan
16 Nazarimehr, Fahimeh
16 Pérez-Villar, Vicente
16 Rodríguez-Luis, Alejandro J.
16 Tesi, Alberto
15 Algaba, Antonio
15 Banks, Stephen Paul
15 Bao, Bocheng
15 Brown, Ray
15 Buscarino, Arturo
15 Doedel, Eusebius J.
15 Fournier-Prunaret, Danièle
15 Hong, Ling
15 Kim, Hyongsuk
15 Kocarev, Ljupco
15 Kuznetsov, Nikolay Vladimirovich
15 Li, Changpin
15 Mosekilde, Erik
15 Palacios, Antonio
15 Rinaldi, Sergio
15 Sbitnev, Valery I.
15 Starkov, Konstantin E.
15 Valls Anglés, Cláudia
15 Wu, Chaiwah
15 Yang, Tao
14 Afraimovich, Valentin S.
14 Andres, Jan
14 Bollt, Erik M.
14 Cafagna, Donato
14 Chen, Fengjuan
14 Kuznetsov, Yuriĭ Aleksandrovich
14 Lai, Yingcheng
14 Liu, Zhengrong
...and 8,593 more Authors
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Fields

3,553 Dynamical systems and ergodic theory (37-XX)
2,926 Ordinary differential equations (34-XX)
1,368 Biology and other natural sciences (92-XX)
821 Information and communication theory, circuits (94-XX)
605 Systems theory; control (93-XX)
588 Partial differential equations (35-XX)
489 Mechanics of particles and systems (70-XX)
317 Computer science (68-XX)
237 Numerical analysis (65-XX)
196 Fluid mechanics (76-XX)
193 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
178 Statistical mechanics, structure of matter (82-XX)
157 Difference and functional equations (39-XX)
138 Mechanics of deformable solids (74-XX)
115 Optics, electromagnetic theory (78-XX)
112 Statistics (62-XX)
92 Operations research, mathematical programming (90-XX)
81 Probability theory and stochastic processes (60-XX)
69 Measure and integration (28-XX)
54 Geophysics (86-XX)
46 Quantum theory (81-XX)
44 Global analysis, analysis on manifolds (58-XX)
43 Classical thermodynamics, heat transfer (80-XX)
42 Operator theory (47-XX)
40 Real functions (26-XX)
38 General and overarching topics; collections (00-XX)
35 General topology (54-XX)
34 Combinatorics (05-XX)
22 Functions of a complex variable (30-XX)
19 Number theory (11-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
16 Manifolds and cell complexes (57-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 Astronomy and astrophysics (85-XX)
12 History and biography (01-XX)
12 Approximations and expansions (41-XX)
9 Integral equations (45-XX)
9 Differential geometry (53-XX)
8 Special functions (33-XX)
7 Mathematical logic and foundations (03-XX)
7 Linear and multilinear algebra; matrix theory (15-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)
4 Topological groups, Lie groups (22-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Algebraic topology (55-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-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

5,248 Publications have been cited 49,487 times in 24,756 Documents Cited by Year
Yet another chaotic attractor. Zbl 0962.37013
Chen, Guanrong; Ueta, Tetsushi
1999
A new chaotic attractor coined. Zbl 1063.34510
Lü, Jinhu; Chen, Guanrong
706
2002
Neural excitability, spiking and bursting. Zbl 1090.92505
Izhikevich, Eugene M.
411
2000
Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. Zbl 1063.34026
Li, Jibin
366
2003
Bridge the gap between the Lorenz system and the Chen system. Zbl 1043.37026
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan; Celikovsky, Sergej
357
2002
One-parameter bifurcations in planar Filippov systems. Zbl 1079.34029
Kuznetsov, Yu. A.; Rinaldi, S.; Gragnani, A.
315
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.
300
2013
Model reduction for fluids, using balanced proper orthogonal decomposition. Zbl 1140.76443
Rowley, C. W.
217
2005
Memristor oscillators. Zbl 1165.94300
Itoh, Makoto; Chua, Leon O.
198
2008
Attractors for lattice dynamical systems. Zbl 1091.37515
Bates, Peter W.; Lu, Kening; Wang, Bixiang
192
2001
Complexity and real computation: A manifesto. Zbl 0872.68036
Blum, Lenore; Cucker, Felipe; Shub, Mike; Smale, Steve
191
1996
Bifurcation sets of continuous piecewise linear systems with two zones. Zbl 0996.37065
Freire, Emilio; Ponce, Enrique; Rodrigo, Francisco; Torres, Francisco
183
1998
Generating multiscroll chaotic attractors: theories, methods and applications. Zbl 1097.94038
Lü, Jinhu; Chen, Guanrong
180
2006
Some basic cryptographic requirements for chaos-based cryptosystems. Zbl 1192.94088
Alvarez, Gonzalo; Li, Shujun
171
2006
Bifurcation analysis of Chen’s equation. Zbl 1090.37531
Ueta, Tetsushi; Chen, Guanrong
165
2000
Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Zbl 0876.65032
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
165
1991
On a generalized Lorenz canonical form of chaotic systems. Zbl 1043.37023
Čelikovský, Sergej; Chen, Guanrong
163
2002
Symmetric ciphers based on two-dimensional chaotic maps. Zbl 0935.94019
Fridrich, Jiri
155
1998
Border-collision bifurcations for piecewise smooth one-dimensional maps. Zbl 0885.58060
Nusse, Helena E.; Yorke, James A.
144
1995
Riddled basins. Zbl 0870.58046
Alexander, J. C.; Yorke, James A.; You, Zhiping; Kan, I.
143
1992
Experimental demonstration of secure communications via chaotic synchronization. Zbl 0875.94134
Kocarev, Lj.; Halle, K. S.; Eckert, K.; Chua, L. O.; Parlitz, U.
143
1992
A new chaotic system and beyond: the generalized Lorenz-like system. Zbl 1129.37323
Lü, Jinhu; Chen, Guanrong; Cheng, Daizhan
141
2004
Simple chaotic flows with one stable equilibrium. Zbl 1284.34064
Molaie, Malihe; Jafari, Sajad; Sprott, Julien Clinton; Golpayegani, S. Mohammad Reza Hashemi
140
2013
The spatial dilemmas of evolution. Zbl 0870.92011
Nowak, Martin A.; May, Robert M.
135
1993
Complex networks: Topology, dynamics and synchronization. Zbl 1044.37561
Wang, Xiao Fan
133
2002
On a class of singular nonlinear traveling wave equations. Zbl 1158.35080
Li, Jibin; Chen, Guanrong
131
2007
A unified framework for synchronization and control of dynamical systems. Zbl 0875.93445
Wu, Chai Wah; Chua, Leon O.
131
1994
Existence results for fractional boundary value problem via critical point theory. Zbl 1258.34015
Jiao, Feng; Zhou, Yong
128
2012
A simple way to synchronize chaotic systems with applications to secure communication systems. Zbl 0884.94004
Wu, Chai Wah; Chua, Leon O.
120
1993
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
119
2017
Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Zbl 1077.37506
Chen, Guanrong; Zhou, Jin; Liu, Zengrong
117
2004
Implementing memristor based chaotic circuits. Zbl 1193.94082
Muthuswamy, Bharathwaj
115
2010
Transmission of digital signals by chaotic synchronization. Zbl 0870.94011
Parlitz, U.; Chua, L. O.; Kocarev, Lj.; Halle, K. S.; Shang, A.
112
1992
Numerical analysis and control of bifurcation problems. II: Bifurcation in infinite dimensions. Zbl 0876.65060
Doedel, Eusebius; Keller, Herbert B.; Kernevez, Jean Pierre
109
1991
Dynamical analysis of a new chaotic attractor. Zbl 1044.37021
Lü, Jinhu; Chen, Guanrong; Zhang, Suochun
109
2002
Coexisting hidden attractors in a 4-D simplified Lorenz system. Zbl 1296.34111
Li, Chunbiao; Sprott, J. C.
108
2014
Time-varying linearization and the Perron effects. Zbl 1142.34033
Leonov, G. A.; Kuznetsov, N. V.
107
2007
From chaos to order – perspectives and methodologies in controlling chaotic nonlinear dynamical systems. Zbl 0886.58076
Chen, Guanrong; Dong, Xiaoning
106
1993
Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082
Liu, Xia; Han, Maoan
103
2010
Chimera states in a ring of nonlocally coupled oscillators. Zbl 1101.37319
Abrams, Daniel M.; Strogatz, Steven H.
99
2006
Finite difference methods for fractional differential equations. Zbl 1258.34018
Li, Changpin; Zeng, Fanhai
97
2012
Bifurcation control: theories, methods, and applications. Zbl 1090.37552
Chen, Guanrong; Moiola, Jorge L.; Wang, Hua O.
95
2000
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.
94
2005
A chaotic system with one saddle and two stable node-foci. Zbl 1147.34306
Yang, Qigui; Chen, Guanrong
93
2008
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
93
2019
Families of scroll grid attractors. Zbl 1044.37029
Yalçin, Müştak E.; Suykens, Johan A. K.; Vandewalle, Joos; Özoğuz, Serdar
93
2002
Memristor cellular automata and memristor discrete-time cellular neural networks. Zbl 1182.37014
Itoh, Makoto; Chua, Leon O.
89
2009
Lévy flight superdiffusion: an introduction. Zbl 1157.82300
Dubkov, A. A.; Spagnolo, B.; Uchaikin, V. V.
88
2008
Nonlinear time sequence analysis. Zbl 0874.58029
Grassberger, Peter; Schreiber, Thomas; Schaffrath, Carsten
86
1991
Stability and bifurcation analysis of a three-species food chain model with fear. Zbl 1386.34093
Panday, Pijush; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev
84
2018
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
84
2012
Feedback anticontrol of discrete chaos. Zbl 0941.93522
Chen, Guanrong; Lai, Dejian
84
1998
Hyperchaotic attractors of unidirectionally-coupled Chua’s circuits. Zbl 0813.58037
Kapitaniak, Tomasz; Chua, Leon O.
82
1994
Chen’s attractor exists. Zbl 1129.37326
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
82
2004
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.
81
2003
Conditions for impulsive synchronization of chaotic and hyperchaotic systems. Zbl 1090.37520
Itoh, Makoto; Yang, Tao; Chua, Leon O.
79
2001
A numerical toolbox for homoclinic bifurcation analysis. Zbl 0877.65058
Champneys, A. R.; Kuznetsov, Yu. A.; Sandstede, B.
79
1996
Active control and global synchronization of the complex Chen and Lü systems. Zbl 1146.93372
Mahmoud, Gamal M.; Bountis, Tassos; Mahmoud, Emad E.
77
2007
On adaptive synchronization and control of nonlinear dynamical systems. Zbl 0875.93182
Wu, Chai Wah; Yang, Tao; Chua, Leon O.
77
1996
An unusual 3D autonomous quadratic chaotic system with two stable node-foci. Zbl 1193.34091
Yang, Qigui; Wei, Zhouchao; Chen, Guanrong
76
2010
Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication. Zbl 0925.93374
Yang, Tao; Chua, Leon O.
76
1997
Numerical detection and continuation of codimension-two homoclinic bifurcations. Zbl 0873.34030
Champneys, A. R.; Kuznetsov, Yu. A.
75
1994
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
74
2000
New 3D-scroll attractors in hyperchaotic Chua’s circuits forming a ring. Zbl 1057.37026
Cafagna, Donato; Grassi, Giuseppe
74
2003
The multifractal formalism revisited with wavelets. Zbl 0807.58032
Muzy, J. F.; Bacry, E.; Arneodo, A.
73
1994
Steps toward unmasking secure communications. Zbl 0875.94002
Short, Kevin M.
73
1994
Multistability in the Lorenz system: a broken butterfly. Zbl 1302.34015
Li, Chunbiao; Sprott, Julien Clinton
73
2014
Chaos synchronization of general Lur’e systems via time-delay feedback control. Zbl 1129.93509
Liao, Xiaoxin; Chen, Guanrong
72
2003
Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079
Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan
72
2012
Bifurcation and chaos in noninteger order cellular neural networks. Zbl 0936.92006
Arena, P.; Caponetto, R.; Fortuna, L.; Porto, D.
72
1998
Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597
Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A.
71
2004
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
70
2009
A novel fast image encryption scheme based on 3D chaotic Baker maps. Zbl 1064.94509
Mao, Yaobin; Chen, Guanrong; Lian, Shiguo
70
2004
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
68
2005
Degenerate bifurcations and border collisions in piecewise smooth 1D and 2D maps. Zbl 1196.37090
Sushko, Iryna; Gardini, Laura
67
2010
More spatial games. Zbl 0884.90147
Nowak, Martin A.; Bonhoeffer, Sebastian; May, Robert M.
67
1994
Constructing a novel no-equilibrium chaotic system. Zbl 1296.34114
Pham, Viet-Thanh; Volos, Christos; Jafari, Sajad; Wei, Zhouchao; Wang, Xiong
67
2014
A new chaotic system and its generators. Zbl 1078.37504
Liu, Wenbo; Chen, Guanrong
66
2003
A survey on the blow up technique. Zbl 1258.34001
Álvarez, María Jesús; Ferragut, Antoni; Jarque, Xavier
66
2011
Cycles of chaotic intervals in a time-delayed Chua’s circuit. Zbl 0890.58052
Maistrenko, Yu. L.; Maistrenko, V. L.; Chua, L. O.
66
1993
Methods of the qualitative theory for the Hindmarsh–Rose model: a case study. A tutorial. Zbl 1165.34364
Shilnikov, Andrey; Kolomiets, Marina
64
2008
Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031
Gasull, Armengol; Torregrosa, Joan
64
2003
Synchronization of chaotic fractional-order systems via linear control. Zbl 1183.34095
Odibat, Zaid M.; Corson, Nathalie; Aziz-Alaoui, M. A.; Bertelle, Cyrille
63
2010
Experimental chaos synchronization in Chua’s circuit. Zbl 0875.94133
Chua, Leon O.; Kocarev, Ljupco; Eckert, Kevin; Itoh, Makoto
63
1992
Absolute stability theory and the synchronization problem. Zbl 0910.34054
Curran, P. F.; Chua, L. O.
63
1997
Generalized synchronization of chaos via linear transformations. Zbl 0937.37019
Yang, Tao; Chua, Leon O.
63
1999
Monodromy and stability for nilpotent critical points. Zbl 1088.34021
Álvarez, M. J.; Gasull, A.
62
2005
Infinite multistability in a self-reproducing chaotic system. Zbl 1383.37026
Li, Chunbiao; Sprott, Julien Clinton; Hu, Wen; Xu, Yujie
62
2017
Chaos in a three-dimensional cancer model. Zbl 1183.34064
Itik, Mehmet; Banks, Stephen P.
61
2010
Chua’s circuit: Rigorous results and future problems. Zbl 0870.58072
Shil’nikov, Leonid P.
61
1994
Recent developments in dynamical systems: three perspectives. Zbl 1202.37003
Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J.
60
2010
Spread spectrum communication through modulation of chaos. Zbl 0870.94002
Halle, K. Sean; Wu, Chai Wah; Itoh, Makoto; Chua, Leon O.
60
1993
An adaptive approach to the control and synchronization of continuous-time chaotic systems. Zbl 0900.70413
Di Bernardo, Mario
60
1996
Feedback control of Lyapunov exponents for discrete-time dynamical systems. Zbl 0875.93157
Chen, Guanrong; Lai, Dejian
59
1996
Normal forms and Lorenz attractors. Zbl 0885.58080
Shil’nikov, A. L.; Shil’nikov, L. P.; Turaev, D. V.
59
1993
Deterministic chaos seen in terms of feedback circuits: analysis, synthesis, “labyrinth chaos”. Zbl 1089.37512
Thomas, R.
58
1999
Coexistence of cycles of a continuous map of the line into itself. Zbl 0890.58012
Sharkovskij, A. N.
58
1995
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
58
2011
Lower bounds for the maximum number of limit cycles of discontinuous piecewise linear differential systems with a straight line of separation. Zbl 1270.34018
Llibre, J.; Teixeira, M. A.; Torregrosa, J.
58
2013
Complex dynamical behaviors of the chaotic Chen’s system. Zbl 1046.37018
Zhou, Tianshou; Tang, Yun; Chen, Guanrong
58
2003
Existence and uniqueness of a canard cycle with cyclicity at most two in a singularly perturbed Leslie-gower predator-prey model with prey harvesting. Zbl 07848334
Wen, Zhenshu; Shi, Tianyu
1
2024
Single- and double-peak solitary waves of two-component Drinfel’d-Sokolov-Wilson system with Kuramoto-Sivashinsky perturbation. Zbl 07847276
Huang, Zihong; Wen, Zhenshu
2
2023
Stability and bifurcation of a delayed reaction-diffusion model with Robin boundary condition in heterogeneous environment. Zbl 07847290
Li, Chaochao; Guo, Shangjiang
2
2023
Recognizing chaos by deep learning and transfer learning on recurrence plots. Zbl 07848253
Zhou, Yu; Gao, Shuo; Sun, Mingwei; Zhou, Yajing; Chen, Zengqiang; Zhang, Jianhong
1
2023
Collective behavior in neuronal networks with electrical and hybrid synapses: frequency responses of oscillations. Zbl 07847286
Azangue, A. B.; Ngouonkadi, E. B. Megam; Nono, M. Kabong; Fotsin, H. B.; Feudjio, C. K.; Sone, M. Ekonde; Yemele, D.
1
2023
Steady-state bifurcation in Previte-Hoffman model. Zbl 07847292
Chen, Mengxin; Wu, Ranchao
1
2023
Effects of incorporating double time delays in an investment savings-liquidity preference money supply (IS-LM) model. Zbl 07847300
Rajpal, Akanksha; Bhatia, Sumit Kaur; Kumar, Vijay
1
2023
Locally active memristor with variable parameters and its oscillation circuit. Zbl 07847306
Li, Haodong; Li, Chunlai; He, Shaobo
1
2023
Bifurcations and exact bounded solutions of some traveling wave systems determined by integrable nonlinear oscillators with \(q\)-degree damping. Zbl 07847313
Zhang, Lijun; Chen, Guanrong; Li, Jibin
1
2023
Chaos robustness and computation complexity of piecewise linear and smooth chaotic Chua’s system. Zbl 07847324
Vinko, Davor; Miličević, Kruno; Vidović, Ivan; Zorić, Bruno
1
2023
Application of reservoir computing based on a 2D hyperchaotic discrete memristive map in efficient temporal signal processing. Zbl 07847345
Xu, Shengjie; Ren, Jing; Ji’e, Musha; Duan, Shukai; Wang, Lidan
1
2023
Global Hopf bifurcation of state-dependent delay differential equations. Zbl 07847355
Guo, Shangjiang
1
2023
Impact of fear on searching efficiency of prey: a prey-predator model with weak Allee effect. Zbl 07848270
Sasmal, Sourav Kumar; Pal, Saheb; Pal, Nikhil; Takeuchi, Yasuhiro
1
2023
Stability and bifurcation in a Leslie-Gower predator-prey model with Allee effect. Zbl 1493.34144
Zhu, Zhenliang; Chen, Yuming; Li, Zhong; Chen, Fengde
22
2022
Chaos in a simplest cyclic memristive neural network. Zbl 1494.34125
Lai, Qiang; Lai, Cong; Kuate, Paul Didier Kamdem; Li, Chunbiao; He, Shaobo
13
2022
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
11
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
10
2022
A delayed eco-epidemiological model with weak Allee effect and disease in prey. Zbl 1497.92212
Sarkar, Kankan; Khajanchi, Subhas; Mali, Prakash Chandra
8
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
7
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
7
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.
7
2022
A conservative memristive system with amplitude control and offset boosting. Zbl 1497.34072
Zhang, Xin; Li, Chunbiao; Dong, Enzeng; Zhao, Yibo; Liu, Zuohua
6
2022
The influence of asymmetry on the dynamics associated with a Caldera potential energy surface. Zbl 1498.37128
Katsanikas, Matthaios; Hillebrand, Malcolm; Skokos, Charalampos; Wiggins, Stephen
6
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
5
2022
Complex dynamics of a three-species food chain model with fear and Allee effect. Zbl 1491.92134
Rana, Sourav; Bhattacharya, Sabyasachi; Samanta, Sudip
5
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
5
2022
Pattern dynamical behaviors of one type of tree-grass model with cross-diffusion. Zbl 1489.92203
Su, Rina; Zhang, Chunrui
5
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
4
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
4
2022
Dynamical taxonomy: some taxonomic ranks to systematically classify every chaotic attractor. Zbl 1497.37028
Letellier, Christophe; Stankevich, Nataliya; Rössler, Otto E.
4
2022
Dynamics and synchronization of complex-valued ring networks. Zbl 1497.34062
Zhao, Xiu; Liu, Jian; Chen, Guanrong; Chai, Lin; Wang, Dan
4
2022
Turing-Hopf bifurcation in diffusive Gierer-Meinhardt model. Zbl 1487.35047
Yang, Rui; Yu, Xiao-Qing
4
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
4
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
4
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
4
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
4
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
4
2022
Bifurcation analysis and spatio-temporal patterns of a prey-predator model with hunting cooperation. Zbl 1501.92110
Dey, Subrata; Banerjee, Malay; Ghorai, S.
4
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
4
2022
Admissible perturbations of a generalized langford system. Zbl 1500.34032
Musafirov, Eduard; Grin, Alexander; Pranevich, Andrei
3
2022
Construction of a nondegenerate 2D chaotic map with application to irreversible parallel key expansion algorithm. Zbl 1491.94074
Zhao, Mengdi; Liu, Hongjun
3
2022
Explosive transition in coupled oscillators through mixed attractive-repulsive interactions. Zbl 1494.34117
Liu, Shutong; Sun, Zhongkui; Zhao, Nannan; Xu, Wei
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.
3
2022
Topological weak specification and distributional chaos on noncompact spaces. Zbl 1497.37016
Yadav, Naveenkumar; Shah, Sejal
3
2022
Classification and traveling wave solutions for the Gilson-Pickering equation. Zbl 1504.35434
Yang, Deniu
3
2022
Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. Zbl 1510.37090
Chen, Ting; Llibre, Jaume
3
2022
Pseudo-Bautin bifurcation in 3D Filippov systems. Zbl 1507.34014
Castillo, Juan; Verduzco, Fernando
3
2022
Nonlinear dynamics analysis of a multistage planetary gear transmission system. Zbl 1510.70058
Liu, Suixian; Hu, Aijun; Zhang, Yue; Xiang, Ling
3
2022
Bifurcations and chaos in periodically forced coupled ramp neurons. Zbl 1497.92039
Horikawa, Yo
3
2022
Limit cycles in discontinuous piecewise linear planar Hamiltonian systems without equilibrium points. Zbl 1507.34034
Li, Zhengkang; Liu, Xingbo
3
2022
Limit cycles of a class of discontinuous piecewise differential systems separated by the curve \(y= x^n\) via averaging theory. Zbl 1510.34049
Guo, Zhifei; Llibre, Jaume
3
2022
On the bounds of Lyapunov exponents for fractional differential systems with an exponential kernel. Zbl 07614857
N’Gbo, N’Gbo; Tang, Jianhua
3
2022
Intermittent bursting in the fractional difference logistic map of matrices. Zbl 1493.39012
Petkevičiūtė-Gerlach, Daiva; Šmidtaitė, Rasa; Ragulskis, Minvydas
2
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
2
2022
Border collision bifurcations and chaos in a ring of three unidirectionally coupled nonmonotonic piecewise constant neurons. Zbl 1486.92026
Horikawa, Yo
2
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
2
2022
Multidelay differential equations: a Taylor expansion approach. Zbl 1500.34068
Doldo, Philip; Pender, Jamol
2
2022
Rocard’s 1941 chaotic relaxation econometric oscillator. Zbl 1493.37038
Ginoux, Jean-Marc; Jovanovic, Franck; Meucci, Riccardo; Llibre, Jaume
2
2022
Fractal structures and magnetic footprints in a divertor tokamak. Zbl 1503.70012
Mathias, A. C.; Perotto, G.; Viana, R. L.; Schelin, A.; Caldas, I. L.
2
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
2
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
2
2022
Bifurcation analysis and finite-time contraction stability of an Alzheimer disease model. Zbl 1489.92039
Hu, Jing; Zhang, Qimin; Meyer-Baese, Anke; Ye, Ming
2
2022
Dynamical analysis of border collision bifurcation in one-cycle controlled single-inductor dual-output boost DC-DC converters. Zbl 1497.34071
Zhang, Hao; Ren, Han; Cui, Donggang
2
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
2
2022
Strange nonchaotic attractors in memristor-based Shimizu-Morioka oscillator. Zbl 1503.34095
Durairaj, Premraj; Kanagaraj, Sathiyadevi; Kathamuthu, Thamilmaran; Rajagopal, Karthikeyan
2
2022
An initially-controlled double-scroll hyperchaotic map. Zbl 1502.39008
Li, Yongxin; Li, Chunbiao; Liu, Sicong; Lei, Tengfei; Jiang, Yicheng
2
2022
Analysis of stochastic bifurcations in the eco-epidemiological oscillatory model with weak Allee effect. Zbl 1497.92192
Bashkirtseva, Irina; Perevalova, Tatyana
2
2022
Bifurcation analysis of multiscale malaria model with Serratia AS1 bacteria and saturated treatment. Zbl 1497.92308
Wang, Jing; Zhao, Hongyong
2
2022
Discovering chaos-based communications by recurrence quantification and quantified return map analyses. Zbl 1494.94002
Rybin, Vyacheslav; Butusov, Denis; Rodionova, Ekaterina; Karimov, Timur; Ostrovskii, Valerii; Tutueva, Aleksandra
2
2022
Spatiotemporal pattern formation in a discrete toxic-phytoplankton-zooplankton model with cross-diffusion and weak Allee effect. Zbl 1500.92127
Zhang, Feifan; Tian, Hao; Zhao, Hongfan; Zhang, Xinran; Shi, Qiyu
2
2022
Bifurcations in asymptotically autonomous Hamiltonian systems subject to multiplicative noise. Zbl 1506.34075
Sultanov, Oskar A.
2
2022
Hopf bifurcation in oncolytic therapeutic modeling: viruses as anti-tumor means with viral lytic cycle. Zbl 1506.34107
Najm, Fatiha; Yafia, Radouane; Aziz-Alaoui, M. A.
2
2022
Temporally stochastic cellular automata: classes and dynamics. Zbl 1507.37017
Roy, Souvik; Paul, Subrata; Das, Sukanta
2
2022
Hopf-bifurcation and pattern selections in a three trophic level food web system. Zbl 1493.92092
Shivam; Singh, Teekam; Kumar, Mukesh
1
2022
Transition of chimera states and synchronization in two-layer networks of coupled Hindmarsh-Rose neurons. Zbl 1495.34071
Yuan, Yuanyuan; Han, Fang; Zhu, Qinghua; Lu, Wenlian
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
A sensitive image encryption algorithm based on a higher-dimensional chaotic map and steganography. Zbl 1484.94021
Liu, Jinyuan; Wang, Yong; Han, Qi; Gao, Jerry
1
2022
Controlling chaos for multistep iteration process and its special iterations in discrete dynamical systems. Zbl 07491260
Sekman, Derya; Karakaya, Vatan
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
The exact bound of the number of limit cycles bifurcating from the global nilpotent center with a nonlinear switching curve. Zbl 1497.37061
Li, Zou; Zhao, Liqin; Wang, Jiaxin
1
2022
Global phase diagrams of three point vortices. Zbl 07491265
Luo, Qian; Chen, Yufei; Liu, Qihuai
1
2022
Bifurcation analysis of a diffusive virus infection and immune response model with two delays. Zbl 1492.35360
Du, Yanfei; Wei, Junjie
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
Queues with updating information: finding the amplitude of oscillations. Zbl 1494.34182
Doldo, Philip; Pender, Jamol
1
2022
Dynamical analysis of a fractional-order boost converter with fractional-order memristive load. Zbl 1494.34126
Wu, Chaojun; Zhang, Qi; Yang, Ningning; Jia, Rong; Liu, Chongxin
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
Energy harvesting from a micro-system with circular bistable potential due to magnets. Zbl 1495.74024
Tesso, P. C. W.; Tagne, R. Kouam; Woafo, P.
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
Limit cycle bifurcations near a heteroclinic loop with two nilpotent cusps of general order. Zbl 1505.34049
Yang, Junmin; Hu, Xing
1
2022
Analysis on capacity sharing with failed match based on the evolutionary game theory. Zbl 1491.90020
Ma, Junhai; Xie, Lei
1
2022
Nonlinear dynamics and bifurcation analysis of a hinged-clamped beam under parametric and internal resonances. Zbl 07491223
Sahoo, Bamadev
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
Stability and complexity analysis of multichannel supply chain with price competition. Zbl 1483.91091
Yuan, Jing; Zhu, Jianjun
1
2022
On the absolutely continuous invariant measures for random maps. Zbl 1493.37067
AlFarajat, Eyad; Góra, Pawel
1
2022
Finite-time stabilization of the fractional model of the driven dissipative nonlinear pendulum. Zbl 1489.93112
Timofejeva, Inga; Laukaitis, Giedrius; Rinkevicius, Zilvinas; Ragulskis, Minvydas
1
2022
Neuromorphic behaviors of the 4-lobe Chua corsage memristor. Zbl 1497.34067
Dong, Yujiao; Wang, Guangyi; Wang, Zhongrui; Iu, Herbert Ho-Ching; Chen, Long
1
2022
Chaos induced by heteroclinic cycles connecting repellers for first-order partial difference equations. Zbl 1489.39010
Li, Zongcheng; Liu, Zhonghua
1
2022
Comparison of competition strategy and retail mode of asymmetric emission reduction in supply chain under cap-and-trade regulation. Zbl 1487.90139
Ma, Junhai; Hu, Yaduo; Wang, Wenqian
1
2022
Synchronization, multiresonance phenomena, and discrete oscillation periods in a Hopfield neural network with two time delays. Zbl 1497.34115
Rozier, Kelvin; Bondarenko, Vladimir E.
1
2022
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358 Chen, Guanrong
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111 Kurths, Jürgen
104 Gardini, Laura
96 Chua, Leon Ong
96 Xu, Wei
92 Pham, Viet-Thanh
90 Valls Anglés, Cláudia
88 Sprott, Julien Clinton
85 Zhang, Wei
84 Liao, Xiaofeng
82 Vaidyanathan, Sundarapandian
77 Rajagopal, Karthikeyan
77 Yang, Xiaosong
75 Ryashko, Lev Borisovich
74 Bashkirtseva, Irina Adol’fovna
72 Algaba, Antonio
72 Kapitaniak, Tomasz
72 Yang, Qigui
70 Bi, Qinsheng
68 Aihara, Kazuyuki
64 Kuznetsov, Nikolay Vladimirovich
63 Guo, Shangjiang
61 Giné, Jaume
61 Leonov, Gennadiĭ Alekseevich
61 Luo, Albert C. J.
61 Sanjuán, Miguel A. F.
61 Wei, Zhouchao
60 Kumar Upadhyay, Ranjit
59 Huang, Lihong
59 Wei, Junjie
58 Liu, Shutang
57 Kashchenko, Sergeĭ Aleksandrovich
55 Li, Chunbiao
54 Zhang, Tonghua
53 Avrutin, Viktor
53 Liu, Xinzhi
53 Lu, Junan
52 Gasull, Armengol
52 Krauskopf, Bernd
51 Lü, Jinhu
51 Rodríguez-Luis, Alejandro J.
51 Wiggins, Stephen R.
49 Grassi, Giuseppe
48 Liu, Yirong
48 Ma, Jun
48 Qi, Guoyuan
47 Chen, Zengqiang
47 Letellier, Christophe
47 Osinga, Hinke Maria
46 Caraballo Garrido, Tomás
46 Danca, Marius-Florin
46 Li, Chuandong
46 Ouannas, Adel
46 Ponce, Enrique
46 Sun, Ji Tao
45 Li, Changpin
45 Park, Juhyun (Jessie)
45 Valero, José
44 Awrejcewicz, Jan
44 Freire Macías, Emilio
44 Grebogi, Celso
44 Xia, Yonghui
44 Zhou, Shengfan
43 Volos, Christos K.
43 Wang, Zhen
43 Wu, Ranchao
42 Bao, Bocheng
42 Song, Yongli
42 Wang, Bixiang
41 Kengne, Jacques
41 Simpson, David John Warwick
40 Huang, Wentao
40 Mosekilde, Erik
39 Andres, Jan
39 Caldas, Iberê L.
39 Fang, Jian’an
39 Gonchenko, Sergey V.
39 Guan, Zhihong
39 Lu, Jianquan
39 Torregrosa, Joan
38 Sushko, Iryna
38 Teixeira, Marco Antonio
38 Zhang, Fuchen
38 Zhang, Xiang
37 Ashwin, Peter
37 Kloeden, Peter Eris
37 Kuznetsov, Sergey P.
37 Li, Yangrong
37 Xu, Jian
36 Aguirre, Luis Antonio
36 Billings, Stephen A.
36 Feng, Zhaosheng
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237 Nonlinear Analysis. Real World Applications
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3 Category theory; homological algebra (18-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)

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