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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.
all top 5

Latest Issues

31, No. 7 (2021)
31, No. 6 (2021)
31, No. 5 (2021)
31, No. 4 (2021)
31, No. 3 (2021)
31, No. 2 (2021)
31, No. 1 (2021)
30, No. 12 (2020)
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26, No. 12 (2016)
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26, No. 10 (2016)
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26, No. 1 (2016)
25, No. 12 (2015)
25, No. 11 (2015)
25, No. 10 (2015)
25, No. 9 (2015)
25, No. 8 (2015)
25, No. 7 (2015)
25, No. 5 (2015)
25, No. 4 (2015)
25, No. 3 (2015)
25, No. 2 (2015)
25, No. 1 (2015)
24, No. 4 (2014)
24, No. 3 (2014)
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24, No. 1 (2014)
23, No. 4 (2013)
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22, No. 4 (2012)
22, No. 3 (2012)
22, No. 2 (2012)
22, No. 1 (2012)
21, No. 4 (2011)
21, No. 3 (2011)
21, No. 2 (2011)
21, No. 1 (2011)
20, No. 4 (2010)
20, No. 3 (2010)
20, No. 2 (2010)
20, No. 1 (2010)
19, No. 4 (2009)
19, No. 3 (2009)
...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 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 Zakharova, Anna
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 Leonel, Edson Denis
8 Li, Changpin
...and 6,130 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

3,083 Publications have been cited 26,751 times in 16,701 Documents Cited by Year
Fractional kinetic equations: Solutions and applications. Zbl 0933.37029
Saichev, Alexander I.; Zaslavsky, George M.
279
1997
Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058
Ott, Edward; Antonsen, Thomas M.
205
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.
178
1997
From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022
Sokolov, I. M.; Klafter, J.
169
2005
Applied koopmanism. Zbl 1319.37013
Budišić, Marko; Mohr, Ryan; Mezić, Igor
149
2012
Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522
Hegger, Rainer; Kantz, Holger; Schreiber, Thomas
146
1999
Adaptive synchronization of neural networks with or without time-varying delay. Zbl 1144.37331
Cao, Jinde; Lu, Jianquan
136
2006
Pinning synchronization of delayed dynamical networks via periodically intermittent control. Zbl 1311.93061
Xia, Weiguo; Cao, Jinde
127
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.
119
2019
Long time evolution of phase oscillator systems. Zbl 1309.34059
Ott, Edward; Antonsen, Thomas M.
118
2009
Fractional differentiability of nowhere differentiable functions and dimensions. Zbl 1055.26504
Kolwankar, Kiran M.; Gangal, Anil D.
116
1996
Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Zbl 1069.92503
Fenton, Flavio; Karma, Alain
104
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.
99
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.
89
2000
New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028
Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang
84
2019
Overview of coupled map lattices. Zbl 1055.37540
Kaneko, Kunihiko
82
1992
Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197
Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua
82
2013
Generalized outer synchronization between complex dynamical networks. Zbl 1311.34119
Wu, Xiaoqun; Zheng, Wei Xing; Zhou, Jin
81
2009
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
79
2016
The size of the sync basin. Zbl 1144.37417
Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle
78
2006
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
75
2019
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
73
2007
Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media. Zbl 1031.76502
Winfree, Arthur T.
71
1992
Anticontrol of chaos in continuous-time systems via time-delay feedback. Zbl 0967.93045
Wang, Xiao Fan; Chen, Guanrong; Yu, Xinghuo
70
2000
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
70
2019
Dynamic analysis of the fractional-order Liu system and its synchronization. Zbl 1163.37382
Wang, Xing-Yuan; Wang, Ming-Jun
69
2007
The impact of awareness on epidemic spreading in networks. Zbl 1331.92154
Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian
69
2012
Transport in time-dependent dynamical systems: finite-time coherent sets. Zbl 1311.37008
Froyland, Gary; Santitissadeekorn, Naratip; Monahan, Adam
68
2010
Homoclinic snaking: Structure and stability. Zbl 1163.37317
Burke, John; Knobloch, Edgar
66
2007
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
66
2019
Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Zbl 1144.37378
Lu, Jianquan; Cao, Jinde
65
2005
Fractional dynamics of coupled oscillators with long-range interaction. Zbl 1152.37345
Tarasov, Vasily E.; Zaslavsky, George M.
65
2006
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
64
2017
A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312
Chen, Wen
62
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.
62
2009
A new method to realize cluster synchronization in connected chaotic networks. Zbl 1146.37330
Ma, Zhongjun; Liu, Zengrong; Zhang, Gang
61
2006
Cluster synchronization in networks of coupled nonidentical dynamical systems. Zbl 1311.34117
Lu, Wenlian; Liu, Bo; Chen, Tianping
61
2010
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
Pikovsky, Arkady; Rosenblum, Michael
59
2015
Pinning control of fractional-order weighted complex networks. Zbl 1311.34018
Tang, Yang; Wang, Zidong; Fang, Jian-an
59
2009
Compound synchronization of four memristor chaotic oscillator systems and secure communication. Zbl 1319.34093
Sun, Junwei; Shen, Yi; Yin, Quan; Xu, Chengjie
58
2013
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
Combination synchronization of three classic chaotic systems using active backstepping design. Zbl 1317.93114
Runzi, Luo; Yinglan, Wang; Shucheng, Deng
57
2011
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
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
Cluster synchronization in community networks with nonidentical nodes. Zbl 1309.34107
Wang, Kaihua; Fu, Xinchu; Li, Kezan
55
2009
Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Zbl 0933.37024
Zaslavsky, G. M.; Edelman, M.; Niyazov, B. A.
54
1997
The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020
Pesin, Yakov; Weiss, Howard
54
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
54
2007
A unifying definition of synchronization for dynamical systems. Zbl 0973.34041
Brown, Reggie; Kocarev, Ljupčo
54
2000
Synchronization of chaotic systems with delay using intermittent linear state feedback. Zbl 1309.34096
Huang, Tingwen; Li, Chuandong; Liu, Xinzhi
54
2008
Outer synchronization of coupled discrete-time networks. Zbl 1311.34115
Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen
54
2009
Exponential stabilization of chaotic systems with delay by periodically intermittent control. Zbl 1159.93353
Li, Chuandong; Liao, Xiaofeng; Huang, Tingwen
53
2007
A chaotic circuit based on Hewlett-Packard memristor. Zbl 1331.34074
Buscarino, Arturo; Fortuna, Luigi; Frasca, Mattia; Valentina Gambuzza, Lucia
53
2012
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
53
2018
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
51
1997
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
51
1996
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
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
50
2017
The Fermi-Pasta-Ulam problem: fifty years of progress. Zbl 1080.37077
Berman, G. P.; Izrailev, F. M.
50
2005
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.
50
2015
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.
49
2017
Synchronization of chaotic systems. Zbl 1374.34002
Pecora, Louis M.; Carroll, Thomas L.
49
2015
Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152
Khajanchi, Subhas; Sarkar, Kankan
49
2020
Synchronization of complex dynamical networks via impulsive control. Zbl 1163.37389
Zhang, Gang; Liu, Zengrong; Ma, Zhongjun
48
2007
A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Zbl 0987.37080
Mezić, Igor; Wiggins, Stephen
48
1999
Characterizing strange nonchaotic attractors. Zbl 1055.37519
Pikovsky, Arkady S.; Feudel, Ulrike
47
1995
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
The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520
Kurakin, L. G.; Yudovich, V. I.
46
2002
Resolution of a shock in hyperbolic systems modified by weak dispersion. Zbl 1144.37341
El, G. A.
45
2005
Computing Lagrangian coherent structures from their variational theory. Zbl 1331.37128
Farazmand, Mohammad; Haller, George
45
2012
Spectral properties of Chimera states. Zbl 1345.34067
Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L.
45
2011
Extreme multistability: attractor manipulation and robustness. Zbl 1374.34219
Hens, Chittaranjan; Dana, Syamal K.; Feudel, Ulrike
43
2015
Chimera states in heterogeneous networks. Zbl 1311.34080
Laing, Carlo R.
43
2009
Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals. Zbl 1409.26003
Abdeljawad, Thabet
43
2019
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
43
2019
Mushrooms and other billiards with divided phase space. Zbl 1080.37582
Bunimovich, Leonid A.
42
2001
Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation. Zbl 1146.37343
Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Maity, Somnath; Mohanan, Srijith; Banerjee, Soumitro
42
2006
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
42
2012
Impulsive stabilization and synchronization of a class of chaotic delay systems. Zbl 1144.37371
Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen
41
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.
41
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.
41
2015
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.
41
2008
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
41
2019
The influence of time delay in a chaotic cancer model. Zbl 1400.92265
Khajanchi, Subhas; Perc, Matjaž; Ghosh, Dibakar
41
2018
Impulsive synchronization of chaotic systems. Zbl 1080.37034
Li, Chuandong; Liao, Xiaofeng; Zhang, Xingyou
40
2005
Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method. Zbl 1080.65532
Kneisl, Kyle
40
2001
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
40
2013
Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives. Zbl 1409.34006
Akgül, Esra Karatas
40
2019
Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control. Zbl 1374.34209
Cai, Shuiming; Zhou, Peipei; Liu, Zengrong
39
2014
Stability diagram for the forced Kuramoto model. Zbl 1309.34088
Childs, Lauren M.; Strogatz, Steven H.
39
2008
Localized patterns in reaction-diffusion systems. Zbl 1163.37381
Vanag, Vladimir K.; Epstein, Irving R.
38
2007
Multistability and the control of complexity. Zbl 0933.37032
Feudel, Ulrike; Grebogi, Celso
38
1997
Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems. Zbl 1387.37045
Shirasaka, Sho; Kurebayashi, Wataru; Nakao, Hiroya
38
2017
The iteration-approximation decoupling in the reversible KAM theory. Zbl 1055.37576
Sevryuk, M. B.
38
1995
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
38
2016
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
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
Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background. Zbl 1467.35273
Zhang, Hai-Qiang; Chen, Fa
19
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.
14
2021
Mitigating long transient time in deterministic systems by resetting. Zbl 1466.37060
Ray, Arnob; Pal, Arnab; Ghosh, Dibakar; Dana, Syamal K.; Hens, Chittaranjan
11
2021
Simplicial SIRS epidemic models with nonlinear incidence rates. Zbl 1462.92054
Wang, Dong; Zhao, Yi; Luo, Jianfeng; Leng, Hui
9
2021
Fractional calculus with exponential memory. Zbl 1459.26010
Fu, Hui; Wu, Guo-Cheng; Yang, Guang; Huang, Lan-Lan
8
2021
Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya; Konotop, Vladimir V.
8
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On discrete Lorenz-like attractors. Zbl 1465.37047
Gonchenko, Sergey; Gonchenko, Alexander; Kazakov, Alexey; Samylina, Evgeniya
7
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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
Esteban, M.; Llibre, J.; Valls, C.
7
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Reduced-order models for coupled dynamical systems: data-driven methods and the Koopman operator. Zbl 1470.37108
Santos Gutiérrez, Manuel; Lucarini, Valerio; Chekroun, Mickaël D.; Ghil, Michael
7
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Fractional-calculus analysis of the transmission dynamics of the dengue infection. Zbl 1462.92053
Srivastava, H. M.; Jan, Rashid; Jan, Asif; Deebani, Wejdan; Shutaywi, Meshal
7
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Enhanced logical chaotic resonance. Zbl 1458.94329
Yao, Yuangen; Ma, Jun; Gui, Rong; Cheng, Guanghui
6
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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
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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Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions. Zbl 1458.92033
Dixit, Shiva; Nag Chowdhury, Sayantan; Prasad, Awadhesh; Ghosh, Dibakar; Shrimali, Manish Dev
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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Noise-induced complex oscillatory dynamics in the Zeldovich-Semenov model of a continuous stirred tank reactor. Zbl 1458.80007
Ryashko, Lev
5
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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
Rana, Sourav; Bhowmick, Amiya Ranjan; Sardar, Tridip
5
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Sliding homoclinic bifurcations in a Lorenz-type system: analytic proofs. Zbl 1473.37060
Belykh, Vladimir N.; Barabash, Nikita V.; Belykh, Igor V.
5
2021
Bistability in a tri-trophic food chain model: basin stability perspective. Zbl 1468.92062
Pattanayak, Debarghya; Mishra, Arindam; Dana, Syamal K.; Bairagi, Nandadulal
5
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Existence of an energy function for three-dimensional chaotic “Sink-source” cascades. Zbl 1476.37043
Barinova, M.; Grines, V.; Pochinka, O.; Yu, B.
5
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Data-driven inference of high-accuracy isostable-based dynamical models in response to external inputs. Zbl 1475.37096
Wilson, Dan
5
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Combinatorial invariant for Morse-Smale diffeomorphisms on surfaces with orientable heteroclinic. Zbl 1465.37028
Malyshev, D.; Morozov, A.; Pochinka, O.
4
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Breaking of integrability and conservation leading to Hamiltonian chaotic system and its energy-based coexistence analysis. Zbl 1466.37047
Qi, Guoyuan; Gou, Ting; Hu, Jianbing; Chen, Guanrong
4
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On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD. Zbl 1512.68265
Bollt, Erik
4
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Nonlinear dynamical behavior of an SEIR mathematical model: effect of information and saturated treatment. Zbl 1460.92191
Das, Tanuja; Srivastava, Prashant K.; Kumar, Anuj
4
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Multistability analysis and nonlinear vibration for generator set in series hybrid electric vehicle through electromechanical coupling. Zbl 1471.74030
Tametang Meli, Maxim Idriss; Leutcho, Gervais Dolvis; Yemele, David
4
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Mixed-mode oscillations from a constrained extended Bonhoeffer-Van der Pol oscillator with a diode. Zbl 1469.94195
Inaba, Naohiko; Kousaka, Takuji; Tsubone, Tadashi; Okazaki, Hideaki; Ito, Hidetaka
4
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Sufficiently dense Kuramoto networks are globally synchronizing. Zbl 1468.34046
Kassabov, Martin; Strogatz, Steven H.; Townsend, Alex
4
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The lower bound of the network connectivity guaranteeing in-phase synchronization. Zbl 1465.34052
Yoneda, Ryosuke; Tatsukawa, Tsuyoshi; Teramae, Jun-nosuke
4
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Eliminating synchronization of coupled neurons adaptively by using feedback coupling with heterogeneous delays. Zbl 1458.92019
Zhou, Shijie; Lin, Wei
3
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Consensus on simplicial complexes: results on stability and synchronization. Zbl 1461.93464
DeVille, Lee
3
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Enhancement of dynamical robustness in a mean-field coupled network through self-feedback delay. Zbl 1458.34092
Sharma, Amit; Rakshit, Biswambhar
3
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Topological characterization of toroidal chaos: a branched manifold for the Deng toroidal attractor. Zbl 1458.37052
Mangiarotti, Sylvain; Letellier, Christophe
3
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Estimating entropy rate from censored symbolic time series: a test for time-irreversibility. Zbl 1466.37065
Salgado-García, R.; Maldonado, Cesar
3
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Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056
Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan
3
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Emergence and synchronization of a reversible core in a system of forced adaptively coupled Kuramoto oscillators. Zbl 1459.34117
Emelianova, Anastasiia A.; Nekorkin, Vladimir I.
3
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Characterizing dynamical transitions by statistical complexity measures based on ordinal pattern transition networks. Zbl 1459.37071
Huang, Min; Sun, Zhongkui; Donner, Reik V.; Zhang, Jie; Guan, Shuguang; Zou, Yong
3
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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
Chakraborty, Bhaskar; Baek, Hunki; Bairagi, Nandadulal
3
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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
Zemskov, Evgeny P.; Tsyganov, Mikhail A.; Kassner, Klaus; Horsthemke, Werner
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Game dynamics of emotion evolution based on the Moran process. Zbl 1461.91043
Dai, Ya-yun; Zhan, Guang-jie; Ye, Ye; Bao, Wei; Wen, Tao; Cheong, Kang Hao; Xie, Neng-gang
3
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Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks. Zbl 1460.34065
Kumar, Anil; Jalan, Sarika
3
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A 2D hyperchaotic map with conditional symmetry and attractor growth. Zbl 1468.37035
Kong, Sixiao; Li, Chunbiao; Jiang, Haibo; Lai, Qiang; Jiang, Xiaowei
3
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Quasi-objective coherent structure diagnostics from single trajectories. Zbl 1470.76094
Haller, George; Aksamit, Nikolas; Encinas-Bartos, Alex P.
3
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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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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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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.
3
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Neuronal synchronization in long-range time-varying networks. Zbl 1468.92025
Rakshit, Sarbendu; Majhi, Soumen; Kurths, Jürgen; Ghosh, Dibakar
3
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Exploiting circadian memory to hasten recovery from circadian misalignment. Zbl 1468.92018
Ahmed, Talha; Wilson, Dan
3
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Time-delayed and stochastic effects in a predator-prey model with ratio dependence and Holling type III functional response. Zbl 1468.92054
Blyuss, K. B.; Kyrychko, S. N.; Kyrychko, Y. N.
3
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Revival of oscillation and symmetry breaking in coupled quantum oscillators. Zbl 1465.81015
Bandyopadhyay, Biswabibek; Banerjee, Tanmoy
3
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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.
3
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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.
2
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Random-matrix theory for the Lindblad master equation. Zbl 1458.81031
Lange, Stefan; Timm, Carsten
2
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Control of tipping points in stochastic mutualistic complex networks. Zbl 1458.92086
Meng, Yu; Grebogi, Celso
2
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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.
2
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A SIRD epidemic model with community structure. Zbl 1458.92081
Yang, Jin-Xuan
2
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Dynamics of the price-volume information flow based on surrogate time series. Zbl 1458.91167
Nie, Chun-Xiao
2
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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
2
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A generalized permutation entropy for noisy dynamics and random processes. Zbl 1458.62193
Amigó, José M.; Dale, Roberto; Tempesta, Piergiulio
2
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Brain rhythm bursts are enhanced by multiplicative noise. Zbl 1458.92053
Powanwe, Arthur S.; Longtin, André
2
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Chaos in the peroxidase-oxidase oscillator. Zbl 1458.92029
Olsen, Lars F.; Lunding, Anita
2
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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.
2
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Achieving criticality for reservoir computing using environment-induced explosive death. Zbl 1459.34120
Mandal, Swarnendu; Shrimali, Manish Dev
2
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Infinite ergodicity that preserves the Lebesgue measure. Zbl 1466.37064
Okubo, Ken-ichi; Umeno, Ken
2
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Dynamics of advectively coupled Van der Pol equations chain. Zbl 1459.34090
Kashchenko, S. A.
2
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Phase coalescence in a population of heterogeneous Kuramoto oscillators. Zbl 1460.34057
Phogat, Richa; Ray, Arnob; Parmananda, P.; Ghosh, Dibakar
2
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How adherence to public health measures shapes epidemic spreading: a temporal network model. Zbl 1460.92186
Behring, Brandon M.; Rizzo, Alessandro; Porfiri, Maurizio
2
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On scenarios of the onset of homoclinic attractors in three-dimensional non-orientable maps. Zbl 1468.37034
Gonchenko, A. S.; Gonchenko, M. S.; Kozlov, A. D.; Samylina, E. A.
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
2
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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
2
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Transient response of the time-delay system excited by Gaussian noise based on complex fractional moments. Zbl 1470.37102
Niu, Lizhi; Xu, Wei; Guo, Qin
2
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Averaging principle for a type of Caputo fractional stochastic differential equations. Zbl 1462.34012
Guo, Zhongkai; Hu, Junhao; Yuan, Chenggui
2
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Synchronization in populations of electrochemical bursting oscillators with chaotic slow dynamics. Zbl 1462.34076
Magrini, Luciano A.; Oliveira Domingues, Margarete; Macau, Elbert E. N.; Kiss, István Z.
2
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Modeling synchronization in globally coupled oscillatory systems using model order reduction. Zbl 1462.34079
Discacciati, Niccolò; Hesthaven, Jan S.
2
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Rethinking the definition of rate-induced tipping. Zbl 1470.37104
Hoyer-Leitzel, Alanna; Nadeau, Alice N.
2
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Degenerated Liouvillians and steady-state reduced density matrices. Zbl 1468.81064
Thingna, Juzar; Manzano, Daniel
2
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Synchronization scenarios in three-layer networks with a hub. Zbl 1468.92026
Sawicki, Jakub; Koulen, Julia M.; Schöll, Eckehard
2
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Discriminating Gaussian processes via quadratic form statistics. Zbl 1471.62451
Balcerek, Michał; Burnecki, Krzysztof; Sikora, Grzegorz; Wyłomańska, Agnieszka
2
2021
ordpy: a Python package for data analysis with permutation entropy and ordinal network methods. Zbl 1465.62006
Pessa, Arthur A. B.; Ribeiro, Haroldo V.
2
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Stochastic transformations of multi-rhythmic dynamics and order-chaos transitions in a discrete 2D model. Zbl 1465.92007
Tsvetkov, Ivan; Bashkirtseva, Irina; Ryashko, Lev
2
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Geometric invariance of determining and resonating centers: odd- and any-number limitations of Pyragas control. Zbl 1476.37035
de Wolff, B.; Schneider, I.
2
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Canonical models for torus canards in elliptic bursters. Zbl 1480.37057
Baspinar, E.; Avitabile, D.; Desroches, M.
2
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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
2
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On the abrupt change of the maximum likelihood state in a simplified stochastic thermohaline circulation system. Zbl 1458.86007
Yang, Fang; Sun, Xu; Duan, Jinqiao
1
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Ordinal patterns in the Duffing oscillator: analyzing powers of characterization. Zbl 1458.37084
Gunther, Ivan; Pattanayak, Arjendu K.; Aragoneses, Andrés
1
2021
On the hybrid Davies like generator for quantum dissipation. Zbl 1458.81030
Chruściński, Dariusz
1
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Two methods to approximate the Koopman operator with a reservoir computer. Zbl 1465.37096
Gulina, Marvyn; Mauroy, Alexandre
1
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Analysis of input-induced oscillations using the isostable coordinate framework. Zbl 1458.34069
Wilson, Dan
1
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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
1
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Solitons in complex systems of chiral fields with Kuramoto interactions. Zbl 1494.35064
Lohe, M. A.
1
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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.
1
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Complex networks identification using Bayesian model with independent Laplace prior. Zbl 1458.62136
Zhang, Yichi; Li, Yonggang; Deng, Wenfeng; Huang, Keke; Yang, Chunhua
1
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Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Zbl 1466.37024
García, Isaac A.; Giné, Jaume; Llibre, Jaume; Maza, Susanna
1
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Collision of a hard ball with singular points of the boundary. Zbl 1493.70063
Attarchi, H.; Bunimovich, L. A.
1
2021
Multifunctionality in a reservoir computer. Zbl 1458.92006
Flynn, Andrew; Tsachouridis, Vassilios A.; Amann, Andreas
1
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Local and global bifurcations in 3D piecewise smooth discontinuous maps. Zbl 1467.37049
Patra, Mahashweta; Gupta, Sayan; Banerjee, Soumitro
1
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A novel non-equilibrium memristor-based system with multi-wing attractors and multiple transient transitions. Zbl 1459.34118
Gu, Shuangquan; Peng, Qiqi; Leng, Xiangxin; Du, Baoxiang
1
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Logistic map trajectory distributions: renormalization-group, entropy, and criticality at the transition to chaos. Zbl 1468.37009
Diaz-Ruelas, A.; Baldovin, F.; Robledo, A.
1
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Unified mechanism of inverse stochastic resonance for monostability and bistability in Hindmarsh-rose neuron. Zbl 1459.34123
Zhu, Jinjie
1
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146 Cao, Jinde
119 Chen, Guanrong
116 Kurths, Jürgen
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67 Wang, Xingyuan
61 Xu, Wei
54 Ha, Seung-Yeal
54 Haller, George
52 Jiang, Haijun
51 Jafari, Sajad
47 Bashkirtseva, Irina Adol’fovna
47 Ryashko, Lev Borisovich
47 Yan, Zhenya
46 Sanjuán, Miguel A. F.
45 Rajagopal, Karthikeyan
43 Tarasov, Vasily E.
40 Abdeljawad, Thabet
40 Crutchfield, James P.
39 Li, Chuandong
39 Li, Wenxue
39 Mezić, Igor
39 Small, Michael
38 Ghosh, Dibakar
38 Pham, Viet-Thanh
37 Aihara, Kazuyuki
37 Atangana, Abdon
37 Duan, Jinqiao
37 Hu, Cheng
37 Schöll, Eckehard
36 Pikovsky, Arkady S.
36 Sprott, Julien Clinton
35 Fang, Jian’an
35 Grebogi, Celso
35 Zaslavskiĭ, Georgiĭ Moiseevich
34 Doungmo Goufo, Emile Franc
34 Kapitaniak, Tomasz
34 Sun, Zhongkui
33 Fu, Xinchu
32 Ashwin, Peter
32 Gómez-Aguilar, José Francisco
32 Li, Chunbiao
32 Meiss, James D.
31 Bollt, Erik M.
31 Ma, Jun
31 Simpson, David John Warwick
30 Akgül, Ali
30 Anishchenko, Vadim Semenovich
30 Caldas, Iberê L.
30 Su, Huan
30 Yang, Xiaosong
29 Froyland, Gary
29 Rodríguez-Luis, Alejandro J.
29 Wei, Ting
28 Algaba, Antonio
28 Gardini, Laura
28 Huang, Tingwen
28 Kengne, Jacques
28 Kofané, Timoléon Crépin
28 Kühn, Christian
28 Lai, Yingcheng
28 Liao, Xiaofeng
28 Park, Juhyun (Jessie)
28 Perc, Matjaž
28 Strelkova, Galina Ivanova
27 Feng, Jianwen
27 Letellier, Christophe
27 Li, Changpin
27 Liu, Xinzhi
27 Lu, Jinhu
27 Malomed, Boris A.
26 Lu, Jianquan
26 Su, Weiyi
26 Xu, Yong
25 Brunton, Steven L.
25 Danca, Marius-Florin
25 Gonchenko, Sergey V.
25 Grimshaw, Roger Hamilton James
25 Kumar, Devendra
25 Kurakin, Leonid Gennadievich
25 Liu, Zengrong
25 Llibre, Jaume
25 Lu, Junan
25 Porter, Mason Alexander
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25 Wang, Jiang
25 Wu, Guocheng
25 Wu, Zhaoyan
24 Al-saedi, Ahmed Eid Salem
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24 Osinga, Hinke Maria
24 Yang, Qigui
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23 Bunimovich, Leonid Abramovich
23 He, Jingsong
23 Kevrekidis, Panayotis G.
23 Krauskopf, Bernd
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906 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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349 Applied Mathematics and Computation
256 Journal of Fluid Mechanics
244 SIAM Journal on Applied Dynamical Systems
231 Advances in Difference Equations
212 Journal of Statistical Physics
183 Physics Letters. A
173 Fractals
171 Journal of the Franklin Institute
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144 Journal of Nonlinear Science
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116 Journal of Mathematical Analysis and Applications
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108 Journal of Differential Equations
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104 Mathematics and Computers in Simulation
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99 Discrete Dynamics in Nature and Society
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54 Advances in Mathematical Physics
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43 SIAM Journal on Applied Mathematics
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