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Chaos

An Interdisciplinary Journal of Nonlinear Science

Short Title: Chaos
Publisher: AIP Publishing, Melville, NY; American Institute of Physics (AIP), College Park, MD
ISSN: 1054-1500; 1089-7682/e
Online: https://aip.scitation.org/toc/cha/current
Comments: Journal
Documents Indexed: 3,688 Publications (since 1991)
References Indexed: 3,667 Publications with 132,182 References.
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Latest Issues

31, No. 7 (2021)
31, No. 6 (2021)
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25, No. 12 (2015)
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21, No. 4 (2011)
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19, No. 4 (2009)
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...and 72 more Volumes
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Authors

71 Kurths, Jürgen
35 Chen, Guanrong
32 Ott, Edward
31 Zaslavskiĭ, Georgiĭ Moiseevich
26 Lai, Yingcheng
25 Malomed, Boris A.
24 Pikovsky, Arkady S.
23 Carroll, Thomas L.
22 Aihara, Kazuyuki
19 Schöll, Eckehard
18 Letellier, Christophe
18 Small, Michael
18 Xu, Wei
17 Cao, Jinde
17 Ghosh, Dibakar
17 Haller, George
17 Nekorkin, Vladimir I.
17 Yan, Zhenya
16 Dana, Syamal Kumar
16 Grebogi, Celso
16 Hirata, Yoshito
16 Neĭshtadt, Anatoliĭ Iserovich
16 Sanjuán, Miguel A. F.
15 Băleanu, Dumitru I.
15 Caldas, Iberê L.
15 Duan, Jinqiao
15 Epstein, Irving R.
14 Bollt, Erik M.
14 Gottwald, Georg A.
14 Lu, Junan
14 Wu, Xiaoqun
13 Anishchenko, Vadim Semenovich
13 Antonsen, Thomas M. jun.
13 Girvan, Michelle
13 Kapitaniak, Tomasz
13 Macau, Elbert E. N.
13 Meiss, James D.
13 Osipov, Grigory V.
13 Wang, Jiang
12 Boccaletti, Stefano
12 Crutchfield, James P.
12 Lin, Wei
12 Sorrentino, Francesco
12 Wang, Xingyuan
11 Baptista, Murilo S.
11 Bunimovich, Leonid Abramovich
11 Li, Chuandong
11 Lu, Jinhu
11 Rosenblum, Michael G.
11 Tél, Tamás
11 Timme, Marc
11 Tresser, Charles
11 Urías, Jesús
10 Afraimovich, Valentin S.
10 Banerjee, Tanmoy
10 Deng, Bin
10 Glass, Leon
10 Kantz, Holger
10 Lakshmanan, Muthusamy
10 Mezić, Igor
10 Parlitz, Ulrich
10 Pecora, Louis M.
10 Porfiri, Maurizio
10 Prasad, Awadhesh
10 Romance, Miguel
10 Yanchuk, Sergiĭ Volodymyrovych
9 Ashwin, Peter
9 Dettmann, Carl P.
9 Dudkowski, Dawid
9 Fortuna, Luigi
9 Frasca, Mattia
9 Fu, Xinchu
9 Grimshaw, Roger Hamilton James
9 Kofané, Timoléon Crépin
9 Li, Yuxia
9 Liao, Xiaofeng
9 Naimzada, Ahmad K.
9 Nakao, Hiroya
9 Nijmeijer, Henk
9 Porter, Mason Alexander
9 Schwartz, Ira Bruce
9 Shang, Pengjian
9 Sprott, Julien Clinton
9 Strogatz, Steven Henry
9 Viana, Ricardo Luiz
9 Yuan, Fang
9 Yudovich, Viktor Iosifovich
9 Zhan, Meng
8 Aguirre, Luis Antonio
8 Amigó, José María
8 Belykh, Igor V.
8 Blakely, Jonathan N.
8 Buldú, Javier M.
8 Criado, Regino
8 Donner, Reik V.
8 Eleonskij, V. M.
8 Gaspard, Pierre
8 Gauthier, Daniel J.
8 Kiss, István Z.
8 Leonel, Edson Denis
...and 6,135 more Authors
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Fields

1,775 Dynamical systems and ergodic theory (37-XX)
1,052 Ordinary differential equations (34-XX)
671 Biology and other natural sciences (92-XX)
285 Partial differential equations (35-XX)
271 Systems theory; control (93-XX)
217 Fluid mechanics (76-XX)
205 Statistical mechanics, structure of matter (82-XX)
182 Mechanics of particles and systems (70-XX)
165 Information and communication theory, circuits (94-XX)
142 Probability theory and stochastic processes (60-XX)
139 Combinatorics (05-XX)
130 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
112 Statistics (62-XX)
97 Quantum theory (81-XX)
81 Computer science (68-XX)
73 Numerical analysis (65-XX)
67 Optics, electromagnetic theory (78-XX)
54 Operations research, mathematical programming (90-XX)
47 Geophysics (86-XX)
45 Mechanics of deformable solids (74-XX)
38 Real functions (26-XX)
35 Measure and integration (28-XX)
34 Difference and functional equations (39-XX)
29 Classical thermodynamics, heat transfer (80-XX)
12 General and overarching topics; collections (00-XX)
10 Number theory (11-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
8 History and biography (01-XX)
8 Differential geometry (53-XX)
8 Relativity and gravitational theory (83-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Astronomy and astrophysics (85-XX)
6 Operator theory (47-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Mathematical logic and foundations (03-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Integral equations (45-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

3,041 Publications have been cited 25,827 times in 16,084 Documents Cited by Year
Fractional kinetic equations: Solutions and applications. Zbl 0933.37029
Saichev, Alexander I.; Zaslavsky, George M.
275
1997
Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058
Ott, Edward; Antonsen, Thomas M.
199
2008
Fundamentals of synchronization in chaotic systems, concepts, and applications. Zbl 0933.37030
Pecora, Louis M.; Carroll, Thomas L.; Johnson, Gregg A.; Mar, Douglas J.; Heagy, James F.
176
1997
From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022
Sokolov, I. M.; Klafter, J.
164
2005
Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522
Hegger, Rainer; Kantz, Holger; Schreiber, Thomas
145
1999
Applied koopmanism. Zbl 1319.37013
Budišić, Marko; Mohr, Ryan; Mezić, Igor
141
2012
Adaptive synchronization of neural networks with or without time-varying delay. Zbl 1144.37331
Cao, Jinde; Lu, Jianquan
133
2006
Pinning synchronization of delayed dynamical networks via periodically intermittent control. Zbl 1311.93061
Xia, Weiguo; Cao, Jinde
125
2009
Fractional differentiability of nowhere differentiable functions and dimensions. Zbl 1055.26504
Kolwankar, Kiran M.; Gangal, Anil D.
115
1996
Long time evolution of phase oscillator systems. Zbl 1309.34059
Ott, Edward; Antonsen, Thomas M.
114
2009
A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator. Zbl 1420.92039
Baleanu, D.; Jajarmi, A.; Sajjadi, S. S.; Mozyrska, D.
112
2019
Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Zbl 1069.92503
Fenton, Flavio; Karma, Alain
103
1998
Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Zbl 0987.70010
Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D.
98
2000
Fractals and quantum mechanics. Zbl 1071.81513
Laskin, Nick
90
2000
Finding finite-time invariant manifolds in two-dimensional velocity fields. Zbl 0979.37012
Haller, G.
88
2000
Overview of coupled map lattices. Zbl 1055.37540
Kaneko, Kunihiko
81
1992
Generalized outer synchronization between complex dynamical networks. Zbl 1311.34119
Wu, Xiaoqun; Zheng, Wei Xing; Zhou, Jin
80
2009
Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197
Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua
80
2013
The size of the sync basin. Zbl 1144.37417
Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle
76
2006
New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028
Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang
76
2019
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo
73
2016
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
72
2007
A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence. Zbl 1423.92093
Jajarmi, Amin; Ghanbari, Behzad; Baleanu, Dumitru
72
2019
Anticontrol of chaos in continuous-time systems via time-delay feedback. Zbl 0967.93045
Wang, Xiao Fan; Chen, Guanrong; Yu, Xinghuo
70
2000
Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media. Zbl 1031.76502
Winfree, Arthur T.
69
1992
The impact of awareness on epidemic spreading in networks. Zbl 1331.92154
Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian
68
2012
Dynamic analysis of the fractional-order Liu system and its synchronization. Zbl 1163.37382
Wang, Xing-Yuan; Wang, Ming-Jun
68
2007
On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016
Owolabi, Kolade M.; Atangana, Abdon
67
2019
Transport in time-dependent dynamical systems: finite-time coherent sets. Zbl 1311.37008
Froyland, Gary; Santitissadeekorn, Naratip; Monahan, Adam
66
2010
Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Zbl 1144.37378
Lu, Jianquan; Cao, Jinde
65
2005
Homoclinic snaking: Structure and stability. Zbl 1163.37317
Burke, John; Knobloch, Edgar
65
2007
Fractional dynamics of coupled oscillators with long-range interaction. Zbl 1152.37345
Tarasov, Vasily E.; Zaslavsky, George M.
64
2006
Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Zbl 1311.34082
Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H.
61
2009
Cluster synchronization in networks of coupled nonidentical dynamical systems. Zbl 1311.34117
Lu, Wenlian; Liu, Bo; Chen, Tianping
61
2010
A new method to realize cluster synchronization in connected chaotic networks. Zbl 1146.37330
Ma, Zhongjun; Liu, Zengrong; Zhang, Gang
61
2006
Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325
Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru
60
2019
Pinning control of fractional-order weighted complex networks. Zbl 1311.34018
Tang, Yang; Wang, Zidong; Fang, Jian-an
58
2009
Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. Zbl 1390.37138
Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward
58
2017
Multistationarity, the basis of cell differentiation and memory. II: Logical analysis of regulatory networks in terms of feedback circuits. Zbl 0997.92012
Thomas, R.; Kaufman, M.
57
2001
Compound synchronization of four memristor chaotic oscillator systems and secure communication. Zbl 1319.34093
Sun, Junwei; Shen, Yi; Yin, Quan; Xu, Chengjie
56
2013
Cluster synchronization in community networks with nonidentical nodes. Zbl 1309.34107
Wang, Kaihua; Fu, Xinchu; Li, Kezan
55
2009
Regularities unseen, randomness observed: levels of entropy convergence. Zbl 1080.94006
Crutchfield, James P.; Feldman, David P.
55
2003
Persistent clusters in lattices of coupled nonidentical chaotic systems. Zbl 1080.37525
Belykh, I.; Belykh, V.; Nevidin, K.; Hasler, M.
55
2003
A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312
Chen, Wen
55
2006
Multistationarity, the basis of cell differentiation and memory. I: Structural conditions of multistationarity and other nontrivial behavior. Zbl 0997.92011
Thomas, R.; Kaufman, M.
55
2001
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
Pikovsky, Arkady; Rosenblum, Michael
55
2015
Outer synchronization of coupled discrete-time networks. Zbl 1311.34115
Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen
54
2009
A unifying definition of synchronization for dynamical systems. Zbl 0973.34041
Brown, Reggie; Kocarev, Ljupčo
54
2000
The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020
Pesin, Yakov; Weiss, Howard
53
1997
Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Zbl 0933.37024
Zaslavsky, G. M.; Edelman, M.; Niyazov, B. A.
53
1997
Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos. Zbl 1163.37336
Innocenti, Giacomo; Morelli, Alice; Genesio, Roberto; Torcini, Alessandro
53
2007
A chaotic circuit based on Hewlett-Packard memristor. Zbl 1331.34074
Buscarino, Arturo; Fortuna, Luigi; Frasca, Mattia; Valentina Gambuzza, Lucia
52
2012
Synchronization of chaotic systems with delay using intermittent linear state feedback. Zbl 1309.34096
Huang, Tingwen; Li, Chuandong; Liu, Xinzhi
51
2008
Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel. Zbl 1404.92211
Yusuf, Abdullahi; Qureshi, Sania; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali
51
2018
Exponential stabilization of chaotic systems with delay by periodically intermittent control. Zbl 1159.93353
Li, Chuandong; Liao, Xiaofeng; Huang, Tingwen
51
2007
Combination synchronization of three classic chaotic systems using active backstepping design. Zbl 1317.93114
Runzi, Luo; Yinglan, Wang; Shucheng, Deng
50
2011
On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002
Barreira, Luis; Pesin, Yakov; Schmeling, Jörg
50
1997
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
50
1996
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
49
2018
Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo. Zbl 1390.34159
Wei, Zhouchao; Moroz, Irene; Sprott, J. C.; Akgul, Akif; Zhang, Wei
49
2017
Periodicity, chaos, and multiple attractors in a memristor-based Shinriki’s circuit. Zbl 1374.94910
Kengne, J.; Njitacke Tabekoueng, Z.; Kamdoum Tamba, V.; Nguomkam Negou, A.
49
2015
A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Zbl 0987.37080
Mezić, Igor; Wiggins, Stephen
48
1999
Synchronization of complex dynamical networks via impulsive control. Zbl 1163.37389
Zhang, Gang; Liu, Zengrong; Ma, Zhongjun
48
2007
Synchronization of chaotic systems. Zbl 1374.34002
Pecora, Louis M.; Carroll, Thomas L.
48
2015
Synchronization of complex networks through local adaptive coupling. Zbl 1309.34090
De Lellis, Pietro; di Bernardo, Mario; Garofalo, Franco
47
2008
New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives. Zbl 1406.92328
Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet
47
2019
Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152
Khajanchi, Subhas; Sarkar, Kankan
47
2020
The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520
Kurakin, L. G.; Yudovich, V. I.
46
2002
Characterizing strange nonchaotic attractors. Zbl 1055.37519
Pikovsky, Arkady S.; Feudel, Ulrike
46
1995
Computing Lagrangian coherent structures from their variational theory. Zbl 1331.37128
Farazmand, Mohammad; Haller, George
45
2012
Extended dynamic mode decomposition with dictionary learning: a data-driven adaptive spectral decomposition of the Koopman operator. Zbl 06876982
Li, Qianxiao; Dietrich, Felix; Bollt, Erik M.; Kevrekidis, Ioannis G.
45
2017
Spectral properties of Chimera states. Zbl 1345.34067
Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L.
44
2011
Resolution of a shock in hyperbolic systems modified by weak dispersion. Zbl 1144.37341
El, G. A.
44
2005
The Fermi-Pasta-Ulam problem: fifty years of progress. Zbl 1080.37077
Berman, G. P.; Izrailev, F. M.
43
2005
Chimera states in heterogeneous networks. Zbl 1311.34080
Laing, Carlo R.
41
2009
Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation. Zbl 1146.37343
Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Maity, Somnath; Mohanan, Srijith; Banerjee, Soumitro
41
2006
The influence of time delay in a chaotic cancer model. Zbl 1400.92265
Khajanchi, Subhas; Perc, Matjaž; Ghosh, Dibakar
41
2018
Extreme multistability: attractor manipulation and robustness. Zbl 1374.34219
Hens, Chittaranjan; Dana, Syamal K.; Feudel, Ulrike
41
2015
Fully synchronous solutions and the synchronization phase transition for the finite-\(N\) Kuramoto model. Zbl 1319.34053
Bronski, Jared C.; DeVille, Lee; Jip Park, Moon
40
2012
Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method. Zbl 1080.65532
Kneisl, Kyle
40
2001
Mushrooms and other billiards with divided phase space. Zbl 1080.37582
Bunimovich, Leonid A.
40
2001
Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals. Zbl 1409.26003
Abdeljawad, Thabet
40
2019
Impulsive stabilization and synchronization of a class of chaotic delay systems. Zbl 1144.37371
Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen
40
2005
The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge. Zbl 1420.92122
Wang, Jing; Cai, Yongli; Fu, Shengmao; Wang, Weiming
40
2019
Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057
Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G.
39
2008
Stability diagram for the forced Kuramoto model. Zbl 1309.34088
Childs, Lauren M.; Strogatz, Steven H.
39
2008
Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster. Zbl 1375.92014
Desroches, Mathieu; Kaper, Tasso J.; Krupa, Martin
39
2013
Impulsive synchronization of chaotic systems. Zbl 1080.37034
Li, Chuandong; Liao, Xiaofeng; Zhang, Xingyou
39
2005
Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes. Zbl 1374.92167
Siero, E.; Doelman, A.; Eppinga, M. B.; Rademacher, J. D. M.; Rietkerk, M.; Siteur, K.
39
2015
Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients. Zbl 1374.35381
Kedziora, D. J.; Ankiewicz, A.; Chowdury, A.; Akhmediev, N.
39
2015
Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. Zbl 1311.92017
Hu, Cheng; Yu, Juan; Jiang, Haijun; Teng, Zhidong
38
2010
Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Zbl 1409.35225
Saad, K. M.; Khader, M. M.; Gómez-Aguilar, J. F.; Baleanu, Dumitru
38
2019
Localized patterns in reaction-diffusion systems. Zbl 1163.37381
Vanag, Vladimir K.; Epstein, Irving R.
38
2007
Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems – a symbolic-numeric computation approach. Zbl 1080.93008
Yan, Zhenya
37
2005
Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control. Zbl 1374.34209
Cai, Shuiming; Zhou, Peipei; Liu, Zengrong
37
2014
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data. Zbl 1374.37114
Froyland, Gary; Padberg-Gehle, Kathrin
37
2015
Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: basic theory and applications. Zbl 1378.34011
Doungmo Goufo, Emile Franc
37
2016
On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics. Zbl 1319.70024
Mauroy, A.; Mezić, I.
36
2012
Mixed outer synchronization of coupled complex networks with time-varying coupling delay. Zbl 1345.34102
Wang, Jun-Wei; Ma, Qinghua; Zeng, Li; Abd-Elouahab, Mohammed Salah
36
2011
Weak chimeras in minimal networks of coupled phase oscillators. Zbl 1345.34052
Ashwin, Peter; Burylko, Oleksandr
36
2015
Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background. Zbl 1467.35273
Zhang, Hai-Qiang; Chen, Fa
15
2021
Dynamics of a fractional epidemiological model with disease infection in both the populations. Zbl 1460.92184
Baishya, Chandrali; Achar, Sindhu J.; Veeresha, P.; Prakasha, D. G.
11
2021
Fractional calculus with exponential memory. Zbl 1459.26010
Fu, Hui; Wu, Guo-Cheng; Yang, Guang; Huang, Lan-Lan
8
2021
Simplicial SIRS epidemic models with nonlinear incidence rates. Zbl 1462.92054
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Fractional-calculus analysis of the transmission dynamics of the dengue infection. Zbl 1462.92053
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7
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Enhanced logical chaotic resonance. Zbl 1458.94329
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6
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On discrete Lorenz-like attractors. Zbl 1465.37047
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6
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Shilnikov attractors in three-dimensional orientation-reversing maps. Zbl 1458.34090
Karatetskaia, Efrosiniia; Shykhmamedov, Aikan; Kazakov, Alexey
6
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Mitigating long transient time in deterministic systems by resetting. Zbl 1466.37060
Ray, Arnob; Pal, Arnab; Ghosh, Dibakar; Dana, Syamal K.; Hens, Chittaranjan
6
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On the interpretation of Dirac \(\boldsymbol{\delta}\) pulses in differential equations for phase oscillators. Zbl 1459.34091
Klinshov, Vladimir; Lücken, Leonhard; Feketa, Petro
6
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Bistability in a tri-trophic food chain model: basin stability perspective. Zbl 1468.92062
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5
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Multi-scroll hidden attractor in memristive HR neuron model under electromagnetic radiation and its applications. Zbl 1458.34095
Zhang, Sen; Zheng, Jiahao; Wang, Xiaoping; Zeng, Zhigang
5
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Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions. Zbl 1458.92033
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Noise-induced complex oscillatory dynamics in the Zeldovich-Semenov model of a continuous stirred tank reactor. Zbl 1458.80007
Ryashko, Lev
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The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. Zbl 1470.34085
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Sliding homoclinic bifurcations in a Lorenz-type system: analytic proofs. Zbl 1473.37060
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5
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Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365
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Multistability analysis and nonlinear vibration for generator set in series hybrid electric vehicle through electromechanical coupling. Zbl 1471.74030
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4
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Mixed-mode oscillations from a constrained extended Bonhoeffer-Van der Pol oscillator with a diode. Zbl 1469.94195
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Invasive dynamics for a predator-prey system with Allee effect in both populations and a special emphasis on predator mortality. Zbl 1459.92163
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Reduced-order models for coupled dynamical systems: data-driven methods and the Koopman operator. Zbl 1470.37108
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Sufficiently dense Kuramoto networks are globally synchronizing. Zbl 1468.34046
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Eliminating synchronization of coupled neurons adaptively by using feedback coupling with heterogeneous delays. Zbl 1458.92019
Zhou, Shijie; Lin, Wei
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Combinatorial invariant for Morse-Smale diffeomorphisms on surfaces with orientable heteroclinic. Zbl 1465.37028
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Consensus on simplicial complexes: results on stability and synchronization. Zbl 1461.93464
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3
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Breaking of integrability and conservation leading to Hamiltonian chaotic system and its energy-based coexistence analysis. Zbl 1466.37047
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Enhancement of dynamical robustness in a mean-field coupled network through self-feedback delay. Zbl 1458.34092
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3
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Topological characterization of toroidal chaos: a branched manifold for the Deng toroidal attractor. Zbl 1458.37052
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3
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Emergence and synchronization of a reversible core in a system of forced adaptively coupled Kuramoto oscillators. Zbl 1459.34117
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Collective steady-state patterns of swarmalators with finite-cutoff interaction distance. Zbl 1459.34119
Lee, Hyun Keun; Yeo, Kangmo; Hong, Hyunsuk
3
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Nonlinear waves in a quintic FitzHugh-Nagumo model with cross diffusion: fronts, pulses, and wave trains. Zbl 1460.35202
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Game dynamics of emotion evolution based on the Moran process. Zbl 1461.91043
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Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks. Zbl 1460.34065
Kumar, Anil; Jalan, Sarika
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A 2D hyperchaotic map with conditional symmetry and attractor growth. Zbl 1468.37035
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Quasi-objective coherent structure diagnostics from single trajectories. Zbl 1470.76094
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Temporal-spatial analysis of an age-space structured foot-and-mouth disease model with Dirichlet boundary condition. Zbl 1462.92055
Wang, Xiaoyan; Sun, Hongquan; Yang, Junyuan
3
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Revival of oscillation and symmetry breaking in coupled quantum oscillators. Zbl 1465.81015
Bandyopadhyay, Biswabibek; Banerjee, Tanmoy
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Existence of an energy function for three-dimensional chaotic “Sink-source” cascades. Zbl 1476.37043
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The lower bound of the network connectivity guaranteeing in-phase synchronization. Zbl 1465.34052
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3
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Transient circulant clusters in two-population network of Kuramoto oscillators with different rules of coupling adaptation. Zbl 1468.34067
Kasatkin, D. V.; Nekorkin, V. I.
2
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Neuronal synchronization in long-range time-varying networks. Zbl 1468.92025
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Synchronization scenarios in three-layer networks with a hub. Zbl 1468.92026
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Synchronization of wave structures in a heterogeneous multiplex network of 2D lattices with attractive and repulsive intra-layer coupling. Zbl 1458.34093
Shepelev, I. A.; Muni, S. S.; Vadivasova, T. E.
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Control of tipping points in stochastic mutualistic complex networks. Zbl 1458.92086
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A SIRD epidemic model with community structure. Zbl 1458.92081
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A generalized permutation entropy for noisy dynamics and random processes. Zbl 1458.62193
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Chaos in the peroxidase-oxidase oscillator. Zbl 1458.92029
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Achieving criticality for reservoir computing using environment-induced explosive death. Zbl 1459.34120
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Characterizing dynamical transitions by statistical complexity measures based on ordinal pattern transition networks. Zbl 1459.37071
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Diffusion-induced regular and chaotic patterns in a ratio-dependent predator-prey model with fear factor and prey refuge. Zbl 1459.92074
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Infinite ergodicity that preserves the Lebesgue measure. Zbl 1466.37064
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Dynamics of advectively coupled Van der Pol equations chain. Zbl 1459.34090
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Phase coalescence in a population of heterogeneous Kuramoto oscillators. Zbl 1460.34057
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Nonlinear dynamical behavior of an SEIR mathematical model: effect of information and saturated treatment. Zbl 1460.92191
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How adherence to public health measures shapes epidemic spreading: a temporal network model. Zbl 1460.92186
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On scenarios of the onset of homoclinic attractors in three-dimensional non-orientable maps. Zbl 1468.37034
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2
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Stochastic analysis of COVID-19 by a SEIR model with Lévy noise. Zbl 1460.92193
Ding, Yamin; Fu, Yuxuan; Kang, Yanmei
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Erratum to: “On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD”. Zbl 1512.68266
Bollt, Erik
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Some elements for a history of the dynamical systems theory. Zbl 1462.37002
Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L.
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Transient response of the time-delay system excited by Gaussian noise based on complex fractional moments. Zbl 1470.37102
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Averaging principle for a type of Caputo fractional stochastic differential equations. Zbl 1462.34012
Guo, Zhongkai; Hu, Junhao; Yuan, Chenggui
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ordpy: a Python package for data analysis with permutation entropy and ordinal network methods. Zbl 1465.62006
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Repulsive inter-layer coupling induces anti-phase synchronization. Zbl 1465.34065
Shepelev, Igor A.; Muni, Sishu S.; Schöll, Eckehard; Strelkova, Galina I.
2
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Stochastic transformations of multi-rhythmic dynamics and order-chaos transitions in a discrete 2D model. Zbl 1465.92007
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Geometric invariance of determining and resonating centers: odd- and any-number limitations of Pyragas control. Zbl 1476.37035
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Transition pathways for a class of high dimensional stochastic dynamical systems with Lévy noise. Zbl 1481.37054
Hu, Jianyu; Chen, Jianyu
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Optimal test-kit-based intervention strategy of epidemic spreading in heterogeneous complex networks. Zbl 1468.92042
Ghosh, Subrata; Senapati, Abhishek; Chattopadhyay, Joydev; Hens, Chittaranjan; Ghosh, Dibakar
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Synchronizability of double-layer dumbbell networks. Zbl 1476.34116
Li, Juyi; Luan, Yangyang; Wu, Xiaoqun; Lu, Jun-an
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Collective behaviors of mean-field coupled Stuart-Landau limit-cycle oscillators under additional repulsive links. Zbl 1468.34051
Wang, Jianwei; Zou, Wei
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Degenerated Liouvillians and steady-state reduced density matrices. Zbl 1468.81064
Thingna, Juzar; Manzano, Daniel
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Mesoscopic model reduction for the collective dynamics of sparse coupled oscillator networks. Zbl 1468.34048
Smith, Lauren D.; Gottwald, Georg A.
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Noise induced suppression of spiral waves in a hybrid Fitzhugh-Nagumo neuron with discontinuous resetting. Zbl 1476.34109
Rajagopal, Karthikeyan; Jafari, Sajad; Moroz, Irene; Karthikeyan, Anitha; Srinivasan, Ashokkumar
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Fractal generation in a two-dimensional active-nematic fluid. Zbl 1468.92019
Mitchell, Kevin A.; Tan, Amanda J.; Arteaga, Jorge; Hirst, Linda S.
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Generalized splay states in phase oscillator networks. Zbl 1468.34042
Berner, Rico; Yanchuk, Serhiy; Maistrenko, Yuri; Schöll, Eckehard
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Exploiting circadian memory to hasten recovery from circadian misalignment. Zbl 1468.92018
Ahmed, Talha; Wilson, Dan
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On the abrupt change of the maximum likelihood state in a simplified stochastic thermohaline circulation system. Zbl 1458.86007
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Random-matrix theory for the Lindblad master equation. Zbl 1458.81031
Lange, Stefan; Timm, Carsten
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Ordinal patterns in the Duffing oscillator: analyzing powers of characterization. Zbl 1458.37084
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On the hybrid Davies like generator for quantum dissipation. Zbl 1458.81030
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Analysis of input-induced oscillations using the isostable coordinate framework. Zbl 1458.34069
Wilson, Dan
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Nonlinear excitations of magnetosonic solitary waves and their chaotic behavior in spin-polarized degenerate quantum magnetoplasma. Zbl 1458.76136
Rahim, Zakia; Adnan, Muhammad; Qamar, Anisa
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Solitons in complex systems of chiral fields with Kuramoto interactions. Zbl 1494.35064
Lohe, M. A.
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Cascade of torus birth bifurcations and inverse cascade of Shilnikov attractors merging at the threshold of hyperchaos. Zbl 1458.34091
Sataev, I. R.; Stankevich, N. V.
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An overview of epidemic models with phase transitions to absorbing states running on top of complex networks. Zbl 1458.92076
Mata, Angélica S.
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Complex networks identification using Bayesian model with independent Laplace prior. Zbl 1458.62136
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Probabilistic response of a fractional-order hybrid vibration energy harvester driven by random excitation. Zbl 1458.74061
Sun, Ya-Hui; Yang, Yong-Ge; Zhang, Ying; Xu, Wei
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Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Zbl 1466.37024
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Brain rhythm bursts are enhanced by multiplicative noise. Zbl 1458.92053
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Collision of a hard ball with singular points of the boundary. Zbl 1493.70063
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Nonexistence of invariant tori transverse to foliations: an application of converse KAM theory. Zbl 1458.37044
Duignan, Nathan; Meiss, James D.
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Multifunctionality in a reservoir computer. Zbl 1458.92006
Flynn, Andrew; Tsachouridis, Vassilios A.; Amann, Andreas
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Estimating entropy rate from censored symbolic time series: a test for time-irreversibility. Zbl 1466.37065
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Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056
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Reservoir computing with swarms. Zbl 1459.37072
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Electrical circuits involving fractal time. Zbl 1459.26012
Khalili Golmankhaneh, Alireza; Kamal Ali, Karmina; Yilmazer, Resat; Welch, Kerri
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Non-orbital characterizations of strange attractors: effective intervals and multifractality measures. Zbl 1459.37069
de Paula Viveiros, Alexandre Magno
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Agent-based modeling: population limits and large timescales. Zbl 1459.93006
Niemann, J.-H.; Winkelmann, S.; Wolf, S.; Schütte, C.
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Synchronization and locking in oscillators with flexible periods. Zbl 1460.92037
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43 Tarasov, Vasily E.
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40 Crutchfield, James P.
39 Li, Chuandong
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39 Mezić, Igor
39 Small, Michael
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37 Ghosh, Dibakar
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36 Pikovsky, Arkady S.
36 Schöll, Eckehard
36 Sprott, Julien Clinton
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34 Duan, Jinqiao
34 Grebogi, Celso
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33 Fu, Xinchu
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32 Doungmo Goufo, Emile Franc
31 Ashwin, Peter
31 Bollt, Erik M.
31 Gómez-Aguilar, José Francisco
31 Li, Chunbiao
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30 Anishchenko, Vadim Semenovich
30 Caldas, Iberê L.
30 Ma, Jun
30 Simpson, David John Warwick
30 Yang, Xiaosong
29 Rodríguez-Luis, Alejandro J.
29 Su, Huan
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349 Applied Mathematics and Computation
253 Journal of Fluid Mechanics
232 SIAM Journal on Applied Dynamical Systems
230 Advances in Difference Equations
208 Journal of Statistical Physics
175 Physics Letters. A
171 Fractals
166 Journal of the Franklin Institute
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138 Journal of Nonlinear Science
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106 Physics of Fluids
106 Complexity
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99 Discrete Dynamics in Nature and Society
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95 Bulletin of Mathematical Biology
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29 Entropy
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5 Geometry (51-XX)
4 Potential theory (31-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
3 Abstract harmonic analysis (43-XX)
2 Mathematics education (97-XX)
1 Sequences, series, summability (40-XX)

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