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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
 Documents Indexed: 3,688 Publications (since 1991) References Indexed: 3,667 Publications with 132,182 References.
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Latest Issues

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Authors

 70 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 17 Cao, Jinde 17 Ghosh, Dibakar 17 Haller, George 17 Nekorkin, Vladimir I. 17 Xu, Wei 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 Lakshmanan, Muthusamy 12 Sorrentino, Francesco 11 Baptista, Murilo S. 11 Bunimovich, Leonid Abramovich 11 Li, Chuandong 11 Lin, Wei 11 Lu, Jinhu 11 Rosenblum, Michael G. 11 Tél, Tamás 11 Timme, Marc 11 Tresser, Charles 11 Urías, Jesús 10 Banerjee, Tanmoy 10 Deng, Bin 10 Glass, Leon 10 Kantz, Holger 10 Mezić, Igor 10 Parlitz, Ulrich 10 Pecora, Louis M. 10 Porfiri, Maurizio 10 Prasad, Awadhesh 10 Romance, Miguel 10 Wang, Xingyuan 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 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 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 Denner 8 Li, Changpin 8 Maistrenko, Yuri L. ...and 6,064 more Authors
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Fields

 1,773 Dynamical systems and ergodic theory (37-XX) 1,052 Ordinary differential equations (34-XX) 670 Biology and other natural sciences (92-XX) 283 Partial differential equations (35-XX) 271 Systems theory; control (93-XX) 217 Fluid mechanics (76-XX) 203 Statistical mechanics, structure of matter (82-XX) 183 Mechanics of particles and systems (70-XX) 162 Information and communication theory, circuits (94-XX) 141 Probability theory and stochastic processes (60-XX) 139 Combinatorics (05-XX) 129 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 111 Statistics (62-XX) 97 Quantum theory (81-XX) 80 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) 33 Difference and functional equations (39-XX) 29 Classical thermodynamics, heat transfer (80-XX) 12 General and overarching topics; collections (00-XX) 9 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)

Citations contained in zbMATH Open

2,671 Publications have been cited 18,501 times in 11,811 Documents Cited by Year
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1997
Fundamentals of synchronization in chaotic systems, concepts, and applications. Zbl 0933.37030
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1997
Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058
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2008
Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522
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1999
From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022
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2005
Adaptive synchronization of neural networks with or without time-varying delay. Zbl 1144.37331
Cao, Jinde; Lu, Jianquan
2006
Pinning synchronization of delayed dynamical networks via periodically intermittent control. Zbl 1311.93061
Xia, Weiguo; Cao, Jinde
2009
Long time evolution of phase oscillator systems. Zbl 1309.34059
Ott, Edward; Antonsen, Thomas M.
2009
Fractional differentiability of nowhere differentiable functions and dimensions. Zbl 1055.26504
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1996
Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Zbl 1069.92503
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Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Zbl 0987.70010
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2000
Applied koopmanism. Zbl 1319.37013
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2012
Finding finite-time invariant manifolds in two-dimensional velocity fields. Zbl 0979.37012
Haller, G.
2000
Generalized outer synchronization between complex dynamical networks. Zbl 1311.34119
Wu, Xiaoqun; Zheng, Wei Xing; Zhou, Jin
2009
Anticontrol of chaos in continuous-time systems via time-delay feedback. Zbl 0967.93045
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2000
Fractals and quantum mechanics. Zbl 1071.81513
2000
Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media. Zbl 1031.76502
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1992
Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Zbl 1144.37378
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2005
Overview of coupled map lattices. Zbl 1055.37540
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1992
Dynamic analysis of the fractional-order Liu system and its synchronization. Zbl 1163.37382
Wang, Xing-Yuan; Wang, Ming-Jun
2007
Transport in time-dependent dynamical systems: finite-time coherent sets. Zbl 1311.37008
2010
The size of the sync basin. Zbl 1144.37417
Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle
2006
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
2007
A new method to realize cluster synchronization in connected chaotic networks. Zbl 1146.37330
Ma, Zhongjun; Liu, Zengrong; Zhang, Gang
2006
The impact of awareness on epidemic spreading in networks. Zbl 1331.92154
Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian
2012
Persistent clusters in lattices of coupled nonidentical chaotic systems. Zbl 1080.37525
Belykh, I.; Belykh, V.; Nevidin, K.; Hasler, M.
2003
Multistationarity, the basis of cell differentiation and memory. I: Structural conditions of multistationarity and other nontrivial behavior. Zbl 0997.92011
Thomas, R.; Kaufman, M.
2001
Pinning control of fractional-order weighted complex networks. Zbl 1311.34018
Tang, Yang; Wang, Zidong; Fang, Jian-an
2009
Homoclinic snaking: Structure and stability. Zbl 1163.37317
Burke, John; Knobloch, Edgar
2007
A unifying definition of synchronization for dynamical systems. Zbl 0973.34041
Brown, Reggie; Kocarev, Ljupčo
2000
Cluster synchronization in networks of coupled nonidentical dynamical systems. Zbl 1311.34117
Lu, Wenlian; Liu, Bo; Chen, Tianping
2010
Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Zbl 0933.37024
Zaslavsky, G. M.; Edelman, M.; Niyazov, B. A.
1997
Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Zbl 1311.34082
Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H.
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
2016
Regularities unseen, randomness observed: levels of entropy convergence. Zbl 1080.94006
Crutchfield, James P.; Feldman, David P.
2003
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.
2001
Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197
Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua
2013
The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020
Pesin, Yakov; Weiss, Howard
1997
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
1996
Cluster synchronization in community networks with nonidentical nodes. Zbl 1309.34107
Wang, Kaihua; Fu, Xinchu; Li, Kezan
2009
Fractional dynamics of coupled oscillators with long-range interaction. Zbl 1152.37345
Tarasov, Vasily E.; Zaslavsky, George M.
2006
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.
2015
Outer synchronization of coupled discrete-time networks. Zbl 1311.34115
Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen
2009
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
1997
A chaotic circuit based on Hewlett-Packard memristor. Zbl 1331.34074
Buscarino, Arturo; Fortuna, Luigi; Frasca, Mattia; Valentina Gambuzza, Lucia
2012
Exponential stabilization of chaotic systems with delay by periodically intermittent control. Zbl 1159.93353
Li, Chuandong; Liao, Xiaofeng; Huang, Tingwen
2007
Synchronization of complex dynamical networks via impulsive control. Zbl 1163.37389
Zhang, Gang; Liu, Zengrong; Ma, Zhongjun
2007
A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312
Chen, Wen
2006
Combination synchronization of three classic chaotic systems using active backstepping design. Zbl 1317.93114
Runzi, Luo; Yinglan, Wang; Shucheng, Deng
2011
Synchronization of complex networks through local adaptive coupling. Zbl 1309.34090
De Lellis, Pietro; di Bernardo, Mario; Garofalo, Franco
2008
Synchronization of chaotic systems with delay using intermittent linear state feedback. Zbl 1309.34096
Huang, Tingwen; Li, Chuandong; Liu, Xinzhi
2008
Characterizing strange nonchaotic attractors. Zbl 1055.37519
1995
Impulsive stabilization and synchronization of a class of chaotic delay systems. Zbl 1144.37371
Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen
2005
Compound synchronization of four memristor chaotic oscillator systems and secure communication. Zbl 1319.34093
Sun, Junwei; Shen, Yi; Yin, Quan; Xu, Chengjie
2013
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
2007
A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Zbl 0987.37080
Mezić, Igor; Wiggins, Stephen
1999
Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation. Zbl 1146.37343
Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Maity, Somnath; Mohanan, Srijith; Banerjee, Soumitro
2006
Chimera states in heterogeneous networks. Zbl 1311.34080
Laing, Carlo R.
2009
Computing Lagrangian coherent structures from their variational theory. Zbl 1331.37128
2012
Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method. Zbl 1080.65532
Kneisl, Kyle
2001
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
2015
Resolution of a shock in hyperbolic systems modified by weak dispersion. Zbl 1144.37341
El, G. A.
2005
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
2017
Impulsive synchronization of chaotic systems. Zbl 1080.37034
Li, Chuandong; Liao, Xiaofeng; Zhang, Xingyou
2005
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
2005
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
2011
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
2017
Mushrooms and other billiards with divided phase space. Zbl 1080.37582
Bunimovich, Leonid A.
2001
Multistability and the control of complexity. Zbl 0933.37032
Feudel, Ulrike; Grebogi, Celso
1997
Food chain chaos due to Shilnikov’s orbit. Zbl 1080.92518
Deng, Bo; Hines, Gwendolen
2002
The iteration-approximation decoupling in the reversible KAM theory. Zbl 1055.37576
Sevryuk, M. B.
1995
Stability diagram for the forced Kuramoto model. Zbl 1309.34088
Childs, Lauren M.; Strogatz, Steven H.
2008
An approach to chaotic synchronization. Zbl 1080.37029
Dramov, Alexander E.; Koronovskii, Alexey A.
2004
The Fermi-Pasta-Ulam problem: fifty years of progress. Zbl 1080.37077
Berman, G. P.; Izrailev, F. M.
2005
Localized patterns in reaction-diffusion systems. Zbl 1163.37381
Vanag, Vladimir K.; Epstein, Irving R.
2007
Extreme multistability: attractor manipulation and robustness. Zbl 1374.34219
Hens, Chittaranjan; Dana, Syamal K.; Feudel, Ulrike
2015
Manipulating the scaling factor of projective synchronization in three-dimensional chaotic systems. Zbl 0996.37075
Xu, Daolin; Li, Zhigang; Bishop, Steven R.
2001
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.
2008
Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. Zbl 1311.92017
Hu, Cheng; Yu, Juan; Jiang, Haijun; Teng, Zhidong
2010
Spectral properties of Chimera states. Zbl 1345.34067
Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L.
2011
A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507
Keener, J. P.; Bogar, K.
1998
Weak chimeras in minimal networks of coupled phase oscillators. Zbl 1345.34052
Ashwin, Peter; Burylko, Oleksandr
2015
Bifurcation analysis and existence of periodic solutions in a simple neural network with delays. Zbl 1080.34064
Wei, J. J.; Velarde, M. G.
2004
Food chain chaos due to junction-fold point. Zbl 0993.92034
Deng, Bo
2001
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
2012
Weak mixing and anomalous kinetics along filamented surfaces. Zbl 1080.37584
Zaslavsky, G. M.; Edelman, M.
2001
Synchronization of chaotic systems. Zbl 1374.34002
Pecora, Louis M.; Carroll, Thomas L.
2015
On noise reduction methods for chaotic data. Zbl 1055.37585
Grassberger, Peter; Hegger, Rainer; Kantz, Holger; Schaffrath, Carsten; Schreiber, Thomas
1993
Combinatorial explosion in model gene networks. Zbl 1033.92014
Edwards, R.; Glass, L.
2000
Estimation of dynamical invariants without embedding by recurrence plots. Zbl 1080.37091
Thiel, M.; Romano, M. C.; Read, P. L.; Kurths, J.
2004
On the origin of reproducible sequential activity in neural circuits. Zbl 1080.37100
Afraimovich, V. S.; Zhigulin, V. P.; Rabinovich, M. I.
2004
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.
2015
Two-dimensional global manifolds of vector fields. Zbl 0983.37110
Krauskopf, Bernd; Osinga, Hinke
1999
Synchronization in asymmetrically coupled networks with node balance. Zbl 1144.37318
Belykh, Igor; Belykh, Vladimir; Hasler, Martin
2006
Multiscroll attractors by switching systems. Zbl 1311.93045
Campos-Cantón, E.; Barajas-Ramírez, J. G.; Solís-Perales, G.; Femat, R.
2010
Lagrangian coherent structures and the smallest finite-time Lyapunov exponent. Zbl 1317.37106
Haller, George; Sapsis, Themistoklis
2011
A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data. Zbl 1374.37114
2015
Synchronization in uncertain complex networks. Zbl 1144.37338
Chen, Maoyin; Zhou, Donghua
2006
Adaptive Q-S (lag, anticipated, and complete) time-varying synchronization and parameters identification of uncertain delayed neural networks. Zbl 1146.93371
Yu, Wenwu; Cao, Jinde
2006
Robust outer synchronization between two complex networks with fractional order dynamics. Zbl 1318.34003
2011
Shilnikov attractors in three-dimensional orientation-reversing maps. Zbl 1458.34090
Karatetskaia, Efrosiniia; Shykhmamedov, Aikan; Kazakov, Alexey
2021
On discrete Lorenz-like attractors. Zbl 1465.37047
Gonchenko, Sergey; Gonchenko, Alexander; Kazakov, Alexey; Samylina, Evgeniya
2021
Mitigating long transient time in deterministic systems by resetting. Zbl 1466.37060
Ray, Arnob; Pal, Arnab; Ghosh, Dibakar; Dana, Syamal K.; Hens, Chittaranjan
2021
Topological characterization of toroidal chaos: a branched manifold for the Deng toroidal attractor. Zbl 1458.37052
Mangiarotti, Sylvain; Letellier, Christophe
2021
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.
2021
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
2021
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
2021
A SIRD epidemic model with community structure. Zbl 1458.92081
Yang, Jin-Xuan
2021
Dynamics of the price-volume information flow based on surrogate time series. Zbl 1458.91167
Nie, Chun-Xiao
2021
On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD. Zbl 07338235
Bollt, Erik
2021
Enhancement of dynamical robustness in a mean-field coupled network through self-feedback delay. Zbl 1458.34092
Sharma, Amit; Rakshit, Biswambhar
2021
Chaos in the peroxidase-oxidase oscillator. Zbl 1458.92029
Olsen, Lars F.; Lunding, Anita
2021
Multifunctionality in a reservoir computer. Zbl 1458.92006
Flynn, Andrew; Tsachouridis, Vassilios A.; Amann, Andreas
2021
Achieving criticality for reservoir computing using environment-induced explosive death. Zbl 1459.34120
Mandal, Swarnendu; Shrimali, Manish Dev
2021
Fractional calculus with exponential memory. Zbl 1459.26010
Fu, Hui; Wu, Guo-Cheng; Yang, Guang; Huang, Lan-Lan
2021
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.
2021
Reservoir computing with swarms. Zbl 1459.37072
Lymburn, Thomas; Algar, Shannon D.; Small, Michael; Jüngling, Thomas
2021
Synchronization and locking in oscillators with flexible periods. Zbl 1460.92037
Savinov, Mariya; Swigon, David; Ermentrout, Bard
2021
Nonlinear dynamical behavior of an SEIR mathematical model: effect of information and saturated treatment. Zbl 1460.92191
Das, Tanuja; Srivastava, Prashant K.; Kumar, Anuj
2021
A 2D hyperchaotic map with conditional symmetry and attractor growth. Zbl 1468.37035
Kong, Sixiao; Li, Chunbiao; Jiang, Haibo; Lai, Qiang; Jiang, Xiaowei
2021
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.
2021
Rethinking the definition of rate-induced tipping. Zbl 07359925
2021
Discriminating Gaussian processes via quadratic form statistics. Zbl 07372069
Balcerek, Michał; Burnecki, Krzysztof; Sikora, Grzegorz; Wyłomańska, Agnieszka
2021
Revival of oscillation and symmetry breaking in coupled quantum oscillators. Zbl 1465.81015
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.
2021
Scenarios of hyperchaos occurrence in 4D Rössler system. Zbl 1451.34056
Stankevich, N.; Kazakov, A.; Gonchenko, S.
2020
Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152
Khajanchi, Subhas; Sarkar, Kankan
2020
Merger of a Hénon-like attractor with a Hénon-like repeller in a model of vortex dynamics. Zbl 1447.37050
Kazakov, Alexey
2020
A simple locally active memristor and its application in HR neurons. Zbl 1437.94108
Tan, Yumei; Wang, Chunhua
2020
Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps. Zbl 1440.39002
Rybalova, E.; Strelkova, G.; Schöll, E.; Anishchenko, V.
2020
Path length statistics in reservoir computers. Zbl 07269094
Carroll, T. L.
2020
The maximum likelihood climate change for global warming under the influence of greenhouse effect and Lévy noise. Zbl 1431.86011
Zheng, Yayun; Yang, Fang; Duan, Jinqiao; Sun, Xu; Fu, Ling; Kurths, Jürgen
2020
A new oscillator with mega-stability and its Hamilton energy: infinite coexisting hidden and self-excited attractors. Zbl 1435.34041
Leutcho, Gervais Dolvis; Khalaf, Abdul Jalil M.; Njitacke Tabekoueng, Zeric; Fozin, Theophile Fonzin; Kengne, Jacques; Jafari, Sajad; Hussain, Iqtadar
2020
Homoclinic chaos in the Rössler model. Zbl 1451.34060
Malykh, Semyon; Bakhanova, Yuliya; Kazakov, Alexey; Pusuluri, Krishna; Shilnikov, Andrey
2020
Amplitude Chimera and Chimera death induced by external agents in two-layer networks. Zbl 1437.34047
Verma, Umesh Kumar; Ambika, G.
2020
The third type of chaos in a system of two adaptively coupled phase oscillators. Zbl 1437.34042
Emelianova, Anastasiia A.; Nekorkin, Vladimir I.
2020
A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation. Zbl 1437.34064
Zhang, Sen; Wang, Xiaoping; Zeng, Zhigang
2020
A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems. Zbl 1433.37077
Wilson, Dan
2020
Coexistence of firing patterns and its control in two neurons coupled through an asymmetric electrical synapse. Zbl 1432.92024
Tabekoueng Njitacke, Z.; Sami Doubla, Isaac; Kengne, J.; Cheukem, A.
2020
Quadratic response of random and deterministic dynamical systems. Zbl 1434.37032
Galatolo, Stefano; Sedro, Julien
2020
Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller. Zbl 1455.37040
2020
Chimera-like behavior in a heterogeneous Kuramoto model: the interplay between attractive and repulsive coupling. Zbl 1445.34072
Frolov, Nikita; Maksimenko, Vladimir; Majhi, Soumen; Rakshit, Sarbendu; Ghosh, Dibakar; Hramov, Alexander
2020
Basin of attraction for Chimera states in a network of Rössler oscillators. Zbl 1445.34057
dos Santos, Vagner; Borges, Fernando S.; Iarosz, Kelly C.; Caldas, Iberê L.; Szezech, J. D.; Viana, Ricardo L.; Baptista, Murilo S.; Batista, Antonio M.
2020
Dense networks that do not synchronize and sparse ones that do. Zbl 1445.34061
Townsend, Alex; Stillman, Michael; Strogatz, Steven H.
2020
Solving Fokker-Planck equation using deep learning. Zbl 1431.35210
Xu, Yong; Zhang, Hao; Li, Yongge; Zhou, Kuang; Liu, Qi; Kurths, Jürgen
2020
Additional repulsion reduces the dynamical resilience in the damaged networks. Zbl 1432.34062
Bera, Bidesh K.
2020
Initial-switched boosting bifurcations in 2D hyperchaotic map. Zbl 1445.37028
Bao, B. C.; Li, H. Z.; Zhu, L.; Zhang, X.; Chen, M.
2020
Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative. Zbl 1435.34031
Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru
2020
Control of inter-layer synchronization by multiplexing noise. Zbl 1458.93240
Vadivasova, T. E.; Slepnev, A. V.; Zakharova, A.
2020
High-dimensional nonlinear wave transitions and their mechanisms. Zbl 1454.35048
Zhang, Xue; Wang, Lei; Liu, Chong; Li, Min; Zhao, Yin-Chuan
2020
Do reservoir computers work best at the edge of chaos? Zbl 07291817
Carroll, T. L.
2020
A novel memristor-based dynamical system with multi-wing attractors and symmetric periodic bursting. Zbl 1466.94073
Chang, Hui; Li, Yuxia; Chen, Guanrong
2020
Self-reproducing chaos and bursting oscillation analysis in a meminductor-based conservative system. Zbl 1447.37089
Yuan, Fang; Jin, Yuan; Li, Yuxia
2020
Bifurcations of front motion in passive and active Allen-Cahn-type equations. Zbl 1445.35039
Stegemerten, Fenna; Gurevich, Svetlana V.; Thiele, Uwe
2020
Chimeras and solitary states in 3D oscillator networks with inertia. Zbl 1450.37068
Maistrenko, Volodymyr; Sudakov, Oleksandr; Osiv, Oleksiy
2020
Effect of memory, intolerance, and second-order reputation on cooperation. Zbl 1448.91018
Xia, Chengyi; Gracia-Lázaro, Carlos; Moreno, Yamir
2020
Spreading of two interacting diseases in multiplex networks. Zbl 1445.92285
Wu, Qingchu; Chen, Shufang
2020
On the structure of time-delay embedding in linear models of non-linear dynamical systems. Zbl 1453.37089
Pan, Shaowu; Duraisamy, Karthik
2020
Predictive modeling of disease propagation in a mobile, connected community using cellular automata. Zbl 1445.92003
Tiwari, Ishant; Sarin, Pradeep; Parmananda, P.
2020
An averaging principle for fractional stochastic differential equations with Lévy noise. Zbl 1445.35313
Xu, Wenjing; Duan, Jinqiao; Xu, Wei
2020
Modified multiscale fuzzy entropy: a robust method for short-term physiologic signals. Zbl 1445.92147
Borin, Airton Monte Serrat jun.; Silva, Luiz Eduardo Virgilio; Murta, Luiz Otavio jun.
2020
Transient Chimera-like states for forced oscillators. Zbl 1431.34063
Dudkowski, Dawid; Wojewoda, Jerzy; Czołczyński, Krzysztof; Kapitaniak, Tomasz
2020
Dimension of reservoir computers. Zbl 1432.68010
Carroll, T. L.
2020
A memristive conservative chaotic circuit consisting of a memristor and a capacitor. Zbl 1431.94211
Deng, Yue; Li, Yuxia
2020
Robust partial synchronization of delay-coupled networks. Zbl 1431.34069
Su, Libo; Wei, Yanling; Michiels, Wim; Steur, Erik; Nijmeijer, Henk
2020
An ensemble of random graphs with identical degree distribution. Zbl 1434.05134
Ma, Fei; Wang, Xiaomin; Wang, Ping
2020
Cross-diffusion-induced patterns in an SIR epidemic model on complex networks. Zbl 1431.92113
Chang, Lili; Duan, Moran; Sun, Guiquan; Jin, Zhen
2020
Multifractal temporally weighted detrended cross-correlation analysis of multivariate time series. Zbl 1435.62330
Jiang, Shan; Li, Bao-Gen; Yu, Zu-Guo; Wang, Fang; Anh, Vo; Zhou, Yu
2020
Amplification of explosive width in complex networks. Zbl 1435.34040
Khanra, Pitambar; Kundu, Prosenjit; Pal, Pinaki; Ji, Peng; Hens, Chittaranjan
2020
Aperiodically intermittent control for exponential bipartite synchronization of delayed signed networks with multi-links. Zbl 1447.93302
Wang, Mengxin; Zheng, Rulin; Feng, Jiqiang; Qin, Sitian; Li, Wenxue
2020
Static and dynamic attractive-repulsive interactions in two coupled nonlinear oscillators. Zbl 1435.34049
Dixit, Shiva; Shrimali, Manish Dev
2020
Reinforcement learning for suppression of collective activity in oscillatory ensembles. Zbl 1435.92005
Krylov, Dmitrii; Dylov, Dmitry V.; Rosenblum, Michael
2020
Model reduction for the collective dynamics of globally coupled oscillators: from finite networks to the thermodynamic limit. Zbl 1451.34042
Smith, Lachlan D.; Gottwald, Georg A.
2020
Stochastic effects on the dynamics of an epidemic due to population subdivision. Zbl 1451.92277
Bittihn, Philip; Golestanian, Ramin
2020
Assessing observability of chaotic systems using delay differential analysis. Zbl 1456.37090
Gonzalez, Christopher E.; Lainscsek, Claudia; Sejnowski, Terrence J.; Letellier, Christophe
2020
Chimera states in coupled map lattices: spatiotemporally intermittent behavior and an equivalent cellular automaton. Zbl 1451.37021
Singha, Joydeep; Gupte, Neelima
2020
Berry phases in the reconstructed KdV equation. Zbl 1451.35171
Oblak, Blagoje; Kozyreff, Gregory
2020
Deciphering chaos in evolutionary games. Zbl 1451.91020
2020
Breaking symmetries of the reservoir equations in echo state networks. Zbl 1451.37109
Herteux, Joschka; Räth, Christoph
2020
Manifold learning for organizing unstructured sets of process observations. Zbl 1447.37075
Dietrich, Felix; Kooshkbaghi, Mahdi; Bollt, Erik M.; Kevrekidis, Ioannis G.
2020
Dissipative soliton stabilization by several nonlinear gradient terms. Zbl 1437.35645
Descalzi, Orazio; Brand, Helmut R.
2020
Constructions and properties of a class of random scale-free networks. Zbl 1437.90040
Wang, Xiaomin; Ma, Fei
2020
Coexistence of bistable multi-pulse chaotic motions with large amplitude vibrations in buckled sandwich plate under transverse and in-plane excitations. Zbl 1437.74008
Zhang, W.; Wu, Q. L.; Zhang, Y. F.; Zheng, Y.
2020
Complex bursting dynamics in an embryonic respiratory neuron model. Zbl 1437.92031
Wang, Yangyang; Rubin, Jonathan E.
2020
The role of timescale separation in oscillatory ensembles with competitive coupling. Zbl 07227901
Kirillov, S. Yu.; Klinshov, V. V.; Nekorkin, V. I.
2020
Simulation study on nonlinear structures in nonlinear dispersive media. Zbl 1437.76055
Aljahdaly, Noufe H.; El-Tantawy, S. A.
2020
Solitary phase waves in a chain of autonomous oscillators. Zbl 1464.34031
2020
Cross frequency coupling in next generation inhibitory neural mass models. Zbl 1437.92022
Ceni, Andrea; Olmi, Simona; Torcini, Alessandro; Angulo-Garcia, David
2020
Efficient reduction for diagnosing Hopf bifurcation in delay differential systems: applications to cloud-rain models. Zbl 1456.34072
Chekroun, Mickaël D.; Koren, Ilan; Liu, Honghu
2020
Homoclinic organization in the Hindmarsh-rose model: a three parameter study. Zbl 1437.92021
Barrio, Roberto; Ibáñez, Santiago; Pérez, Lucía
2020
Contrasting chaotic with stochastic dynamics via ordinal transition networks. Zbl 1440.37079
Olivares, F.; Zanin, M.; Zunino, L.; Pérez, D. G.
2020
Dynamics editing based on offset boosting. Zbl 1450.37033
Li, Chunbiao; Lei, Tengfei; Wang, Xiong; Chen, Guanrong
2020
Invertible generalized synchronization: a putative mechanism for implicit learning in neural systems. Zbl 1440.92006
Lu, Zhixin; Bassett, Danielle S.
2020
Reducing network size and improving prediction stability of reservoir computing. Zbl 1440.37076
Haluszczynski, Alexander; Aumeier, Jonas; Herteux, Joschka; Räth, Christoph
2020
Extraction of slow and fast dynamics of multiple time scale systems using wavelet techniques. Zbl 1440.37078
Magrini, Luciano A.; Oliveira Domingues, Margarete; Macau, Elbert E. N.; Kiss, István Z.
2020
A model for the competition between political mono-polarization and bi-polarization. Zbl 1444.91186
Saintier, Nicolas; Pablo Pinasco, Juan; Vazquez, Federico
2020
Recurrence analysis of slow-fast systems. Zbl 07243778
Kasthuri, Praveen; Pavithran, Induja; Krishnan, Abin; Pawar, Samadhan A.; Sujith, R. I.; Gejji, Rohan; Anderson, William; Marwan, Norbert; Kurths, Jürgen
2020
A note on the continuity for Caputo fractional stochastic differential equations. Zbl 1445.34027
Wang, Wenya; Cheng, Shuilin; Guo, Zhongkai; Yan, Xingjie
2020
Lagrangian chaos in steady three-dimensional lid-driven cavity flow. Zbl 1453.76200
Romanò, Francesco; Türkbay, Tuǧçe; Kuhlmann, Hendrik C.
2020
2020
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 118 Cao, Jinde 103 Chen, Guanrong 94 Kurths, Jürgen 56 Băleanu, Dumitru I. 55 Wang, Xingyuan 50 Haller, George 39 Tarasov, Vasily E. 38 Crutchfield, James P. 37 Ha, Seung-Yeal 36 Aihara, Kazuyuki 36 Xu, Wei 34 Fang, Jian’an 34 Jiang, Haijun 33 Li, Wenxue 33 Sanjuán, Miguel A. F. 33 Small, Michael 33 Zaslavskiĭ, Georgiĭ Moiseevich 32 Mezić, Igor 32 Ryashko, Lev Borisovich 31 Bashkirtseva, Irina Adol’fovna 31 Fu, Xinchu 31 Jafari, Sajad 31 Pham, Viet-Thanh 31 Schöll, Eckehard 31 Yan, Zhenya 30 Grebogi, Celso 30 Kapitaniak, Tomasz 30 Li, Chuandong 29 Pikovsky, Arkady S. 28 Bollt, Erik M. 28 Liao, Xiaofeng 27 Lai, Yingcheng 27 Sprott, Julien Clinton 27 Zhao, Yi 25 Feng, Jianwen 25 Froyland, Gary 25 Ghosh, Dibakar 25 Hu, Cheng 25 Li, Changpin 25 Lu, Jinhu 25 Meiss, James D. 25 Yang, Xiaosong 24 Anishchenko, Vadim Semenovich 24 Ashwin, Peter 24 Caldas, Iberê L. 24 Liu, Zengrong 24 Lu, Junan 24 Osinga, Hinke Maria 24 Park, Juhyun (Jessie) 24 Rodríguez-Luis, Alejandro J. 24 Sun, Zhongkui 23 Algaba, Antonio 23 Gardini, Laura 23 Grimshaw, Roger Hamilton James 23 Huang, Tingwen 23 Letellier, Christophe 23 Simpson, David John Warwick 23 Wang, Jiang 22 Campos-Cantón, Eric 22 Kengne, Jacques 22 Liu, Xinzhi 22 Ott, Edward 22 Perc, Matjaž 21 Duan, Jinqiao 21 Kurakin, Leonid G. 21 Lu, Jianquan 21 Vaienti, Sandro 21 Wu, Xiaoqun 21 Wu, Zhaoyan 21 Yang, Xinsong 20 Bunimovich, Leonid Abramovich 20 Holden, Arun V. 20 Krauskopf, Bernd 20 Lakshmanan, Muthusamy 20 Macau, Elbert E. N. 20 Nekorkin, Vladimir I. 20 Tang, Yang 19 Belykh, Igor V. 19 Carroll, Thomas L. 19 Danca, Marius-Florin 19 Gottwald, Georg A. 19 Knobloch, Edgar 19 Kuznetsov, Nikolay Vladimirovich 19 Laing, Carlo R. 19 Li, Chunbiao 19 Li, Yuxia 19 Porter, Mason Alexander 19 Strelkova, Galina Ivanova 19 Su, Huan 19 Wang, Chunhua 19 Wei, Juncheng 19 Yu, Wenwu 19 Zotos, Euaggelos E. 18 Aguirre, Luis Antonio 18 Atangana, Abdon 18 de la Llave, Rafael 18 Desroches, Mathieu 18 Doungmo Goufo, Emile Franc 18 Glass, Leon 18 Gonchenko, Sergey V. ...and 15,623 more Authors
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Cited in 591 Journals

 2,055 Chaos 818 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 552 Chaos, Solitons and Fractals 523 Nonlinear Dynamics 513 Physica D 422 Communications in Nonlinear Science and Numerical Simulation 259 Applied Mathematics and Computation 202 Journal of Fluid Mechanics 188 Journal of Statistical Physics 147 Journal of Theoretical Biology 143 SIAM Journal on Applied Dynamical Systems 140 Mathematical Problems in Engineering 138 Journal of the Franklin Institute 122 Journal of Mathematical Physics 116 Physica A 113 Physics Letters. A 113 Journal of Nonlinear Science 106 Physics of Fluids 102 Complexity 95 Regular and Chaotic Dynamics 93 Advances in Difference Equations 89 Discrete Dynamics in Nature and Society 86 Journal of Mathematical Analysis and Applications 85 Computers & Mathematics with Applications 82 Journal of Differential Equations 81 Abstract and Applied Analysis 79 Applied Mathematical Modelling 76 Bulletin of Mathematical Biology 73 Nonlinearity 72 Journal of Computational and Applied Mathematics 71 Journal of Statistical Mechanics: Theory and Experiment 70 Journal of Mathematical Biology 69 Mathematical Biosciences 68 International Journal of Modern Physics B 68 Communications in Mathematical Physics 64 Celestial Mechanics and Dynamical Astronomy 64 Nonlinear Analysis. Real World Applications 63 Journal of Computational Physics 62 Automatica 61 Neural Networks 58 Dynamical Systems 55 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 54 Discrete and Continuous Dynamical Systems. Series B 53 Mathematics and Computers in Simulation 51 Discrete and Continuous Dynamical Systems 46 Neural Computation 45 Applied Mathematics Letters 40 Biological Cybernetics 39 Nonlinear Analysis. Hybrid Systems 38 Fractals 37 Ergodic Theory and Dynamical Systems 36 International Journal of Theoretical Physics 36 Physics Reports 34 New Journal of Physics 33 Modern Physics Letters B 33 Mathematical Biosciences and Engineering 33 Mathematical Modelling of Natural Phenomena 33 Advances in Mathematical Physics 31 Mathematical Methods in the Applied Sciences 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Computational and Applied Mathematics 29 International Journal of Modern Physics C 29 Entropy 27 Wave Motion 27 SIAM Journal on Applied Mathematics 26 Journal of Dynamics and Differential Equations 26 Journal of Applied Mathematics 26 Journal of Physics A: Mathematical and Theoretical 25 Applied Numerical Mathematics 25 Fractional Calculus & Applied Analysis 25 Discrete and Continuous Dynamical Systems. Series S 25 International Journal of Applied and Computational Mathematics 24 International Journal of Control 23 Theoretical and Mathematical Physics 22 Journal of Computational Neuroscience 22 Journal of Vibration and Control 22 The Journal of Mathematical Neuroscience 22 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 21 Journal of Scientific Computing 21 International Journal of Computer Mathematics 21 International Journal of Robust and Nonlinear Control 21 Journal of Mathematical Sciences (New York) 21 International Journal of Biomathematics 21 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 20 Information Sciences 20 Theoretical Computer Science 20 Circuits, Systems, and Signal Processing 20 Journal of Computational Dynamics 19 Computer Methods in Applied Mechanics and Engineering 19 Qualitative Theory of Dynamical Systems 18 Applicable Analysis 18 Proceedings of the American Mathematical Society 18 Systems & Control Letters 18 Stochastic Processes and their Applications 18 Nonlinear Analysis. Modelling and Control 18 Journal of Systems Science and Complexity 18 Asian Journal of Control 17 Computational & Mathematical Methods in Medicine 16 European Journal of Applied Mathematics 16 Journal of Difference Equations and Applications ...and 491 more Journals
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