## 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 8 Afraimovich, Valentin S. 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 Li, Changpin 8 Maistrenko, Yuri L. 8 Parmananda, Punit ...and 6,064 more Authors
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### Fields

 1,773 Dynamical systems and ergodic theory (37-XX) 1,051 Ordinary differential equations (34-XX) 671 Biology and other natural sciences (92-XX) 284 Partial differential equations (35-XX) 271 Systems theory; control (93-XX) 217 Fluid mechanics (76-XX) 204 Statistical mechanics, structure of matter (82-XX) 183 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) 129 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 110 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) 33 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)

### Citations contained in zbMATH Open

2,811 Publications have been cited 20,776 times in 13,231 Documents Cited by Year
Fractional kinetic equations: Solutions and applications. Zbl 0933.37029
Saichev, Alexander I.; Zaslavsky, George M.
1997
Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058
Ott, Edward; Antonsen, Thomas M.
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.
1997
Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522
Hegger, Rainer; Kantz, Holger; Schreiber, Thomas
1999
From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022
Sokolov, I. M.; Klafter, J.
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
Applied koopmanism. Zbl 1319.37013
Budišić, Marko; Mohr, Ryan; Mezić, Igor
2012
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
Kolwankar, Kiran M.; Gangal, Anil D.
1996
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.
2019
Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Zbl 1069.92503
Fenton, Flavio; Karma, Alain
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.
2000
Finding finite-time invariant manifolds in two-dimensional velocity fields. Zbl 0979.37012
Haller, G.
2000
Fractals and quantum mechanics. Zbl 1071.81513
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
Wang, Xiao Fan; Chen, Guanrong; Yu, Xinghuo
2000
Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media. Zbl 1031.76502
Winfree, Arthur T.
1992
Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Zbl 1144.37378
Lu, Jianquan; Cao, Jinde
2005
The size of the sync basin. Zbl 1144.37417
Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle
2006
Overview of coupled map lattices. Zbl 1055.37540
Kaneko, Kunihiko
1992
Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383
Wang, Zhian; Hillen, Thomas
2007
Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197
Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua
2013
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
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
Homoclinic snaking: Structure and stability. Zbl 1163.37317
Burke, John; Knobloch, Edgar
2007
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
The impact of awareness on epidemic spreading in networks. Zbl 1331.92154
Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian
2012
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
2019
A new method to realize cluster synchronization in connected chaotic networks. Zbl 1146.37330
Ma, Zhongjun; Liu, Zengrong; Zhang, Gang
2006
Pinning control of fractional-order weighted complex networks. Zbl 1311.34018
Tang, Yang; Wang, Zidong; Fang, Jian-an
2009
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
Fractional dynamics of coupled oscillators with long-range interaction. Zbl 1152.37345
Tarasov, Vasily E.; Zaslavsky, George M.
2006
Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Zbl 0933.37024
Zaslavsky, G. M.; Edelman, M.; Niyazov, B. A.
1997
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
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
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
The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020
Pesin, Yakov; Weiss, Howard
1997
Outer synchronization of coupled discrete-time networks. Zbl 1311.34115
Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen
2009
Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V.
1996
New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028
Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang
2019
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
Cluster synchronization in community networks with nonidentical nodes. Zbl 1309.34107
Wang, Kaihua; Fu, Xinchu; Li, Kezan
2009
A chaotic circuit based on Hewlett-Packard memristor. Zbl 1331.34074
Buscarino, Arturo; Fortuna, Luigi; Frasca, Mattia; Valentina Gambuzza, Lucia
2012
A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312
Chen, Wen
2006
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
On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016
2019
Combination synchronization of three classic chaotic systems using active backstepping design. Zbl 1317.93114
Runzi, Luo; Yinglan, Wang; Shucheng, Deng
2011
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
Characterizing strange nonchaotic attractors. Zbl 1055.37519
1995
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
2018
Synchronization of complex networks through local adaptive coupling. Zbl 1309.34090
De Lellis, Pietro; di Bernardo, Mario; Garofalo, Franco
2008
Compound synchronization of four memristor chaotic oscillator systems and secure communication. Zbl 1319.34093
Sun, Junwei; Shen, Yi; Yin, Quan; Xu, Chengjie
2013
Computing Lagrangian coherent structures from their variational theory. Zbl 1331.37128
2012
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
2015
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
Synchronization of chaotic systems with delay using intermittent linear state feedback. Zbl 1309.34096
Huang, Tingwen; Li, Chuandong; Liu, Xinzhi
2008
A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Zbl 0987.37080
Mezić, Igor; Wiggins, Stephen
1999
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
2019
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 stabilization and synchronization of a class of chaotic delay systems. Zbl 1144.37371
Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen
2005
The Fermi-Pasta-Ulam problem: fifty years of progress. Zbl 1080.37077
Berman, G. P.; Izrailev, F. M.
2005
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
Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method. Zbl 1080.65532
Kneisl, Kyle
2001
Mushrooms and other billiards with divided phase space. Zbl 1080.37582
Bunimovich, Leonid A.
2001
Resolution of a shock in hyperbolic systems modified by weak dispersion. Zbl 1144.37341
El, G. A.
2005
Chimera states in heterogeneous networks. Zbl 1311.34080
Laing, Carlo R.
2009
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
Multistability and the control of complexity. Zbl 0933.37032
Feudel, Ulrike; Grebogi, Celso
1997
Stability diagram for the forced Kuramoto model. Zbl 1309.34088
Childs, Lauren M.; Strogatz, Steven H.
2008
Spectral properties of Chimera states. Zbl 1345.34067
Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L.
2011
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
Extreme multistability: attractor manipulation and robustness. Zbl 1374.34219
Hens, Chittaranjan; Dana, Syamal K.; Feudel, Ulrike
2015
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
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
Synchronization of chaotic systems. Zbl 1374.34002
Pecora, Louis M.; Carroll, Thomas L.
2015
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
2018
Localized patterns in reaction-diffusion systems. Zbl 1163.37381
Vanag, Vladimir K.; Epstein, Irving R.
2007
Combinatorial explosion in model gene networks. Zbl 1033.92014
Edwards, R.; Glass, L.
2000
A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507
Keener, J. P.; Bogar, K.
1998
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
Weak chimeras in minimal networks of coupled phase oscillators. Zbl 1345.34052
Ashwin, Peter; Burylko, Oleksandr
2015
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
An approach to chaotic synchronization. Zbl 1080.37029
Dramov, Alexander E.; Koronovskii, Alexey A.
2004
Manipulating the scaling factor of projective synchronization in three-dimensional chaotic systems. Zbl 0996.37075
Xu, Daolin; Li, Zhigang; Bishop, Steven R.
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
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
2013
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
On noise reduction methods for chaotic data. Zbl 1055.37585
Grassberger, Peter; Hegger, Rainer; Kantz, Holger; Schaffrath, Carsten; Schreiber, Thomas
1993
Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control. Zbl 1374.34209
Cai, Shuiming; Zhou, Peipei; Liu, Zengrong
2014
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.
2017
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
2016
On discrete Lorenz-like attractors. Zbl 1465.37047
Gonchenko, Sergey; Gonchenko, Alexander; Kazakov, Alexey; Samylina, Evgeniya
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
Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background. Zbl 1467.35273
Zhang, Hai-Qiang; Chen, Fa
2021
Shilnikov attractors in three-dimensional orientation-reversing maps. Zbl 1458.34090
Karatetskaia, Efrosiniia; Shykhmamedov, Aikan; Kazakov, Alexey
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.
2021
Topological characterization of toroidal chaos: a branched manifold for the Deng toroidal attractor. Zbl 1458.37052
Mangiarotti, Sylvain; Letellier, Christophe
2021
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
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.
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
Mitigating long transient time in deterministic systems by resetting. Zbl 1466.37060
Ray, Arnob; Pal, Arnab; Ghosh, Dibakar; Dana, Syamal K.; Hens, Chittaranjan
2021
Chaos in the peroxidase-oxidase oscillator. Zbl 1458.92029
Olsen, Lars F.; Lunding, Anita
2021
On the interpretation of Dirac $$\boldsymbol{\delta}$$ pulses in differential equations for phase oscillators. Zbl 1459.34091
Klinshov, Vladimir; Lücken, Leonhard; Feketa, Petro
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
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
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
2021
Fractal generation in a two-dimensional active-nematic fluid. Zbl 1468.92019
Mitchell, Kevin A.; Tan, Amanda J.; Arteaga, Jorge; Hirst, Linda S.
2021
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
2021
Experimental chaotic synchronization for coupled double pendula. Zbl 1465.70004
Dudkowski, Dawid; Wojewoda, Jerzy; Czołczyński, Krzysztof; Kapitaniak, Tomasz
2021
Discriminating Gaussian processes via quadratic form statistics. Zbl 1471.62451
Balcerek, Michał; Burnecki, Krzysztof; Sikora, Grzegorz; Wyłomańska, Agnieszka
2021
Revival of oscillation and symmetry breaking in coupled quantum oscillators. Zbl 1465.81015
2021
Existence of an energy function for three-dimensional chaotic “Sink-source” cascades. Zbl 1476.37043
Barinova, M.; Grines, V.; Pochinka, O.; Yu, B.
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
Enhanced logical chaotic resonance. Zbl 1458.94329
Yao, Yuangen; Ma, Jun; Gui, Rong; Cheng, Guanghui
2021
Eliminating synchronization of coupled neurons adaptively by using feedback coupling with heterogeneous delays. Zbl 1458.92019
Zhou, Shijie; Lin, Wei
2021
Solitons in complex systems of chiral fields with Kuramoto interactions. Zbl 07333346
Lohe, M. A.
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
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
2021
A SIRD epidemic model with community structure. Zbl 1458.92081
Yang, Jin-Xuan
2021
Noise-induced complex oscillatory dynamics in the Zeldovich-Semenov model of a continuous stirred tank reactor. Zbl 1458.80007
Ryashko, Lev
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
A generalized permutation entropy for noisy dynamics and random processes. Zbl 1458.62193
Amigó, José M.; Dale, Roberto; Tempesta, Piergiulio
2021
Collision of a hard ball with singular points of the boundary. Zbl 07338250
Attarchi, H.; Bunimovich, L. A.
2021
Nonexistence of invariant tori transverse to foliations: an application of converse KAM theory. Zbl 1458.37044
Duignan, Nathan; Meiss, James D.
2021
Multifunctionality in a reservoir computer. Zbl 1458.92006
Flynn, Andrew; Tsachouridis, Vassilios A.; Amann, Andreas
2021
Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056
Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan
2021
Achieving criticality for reservoir computing using environment-induced explosive death. Zbl 1459.34120
Mandal, Swarnendu; Shrimali, Manish Dev
2021
Reservoir computing with swarms. Zbl 1459.37072
Lymburn, Thomas; Algar, Shannon D.; Small, Michael; Jüngling, Thomas
2021
Infinite ergodicity that preserves the Lebesgue measure. Zbl 1466.37064
Okubo, Ken-ichi; Umeno, Ken
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
On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system. Zbl 1469.37016
Guo, Siyu; Luo, Albert C. J.
2021
How adherence to public health measures shapes epidemic spreading: a temporal network model. Zbl 1460.92186
Behring, Brandon M.; Rizzo, Alessandro; Porfiri, Maurizio
2021
Sliding homoclinic bifurcations in a Lorenz-type system: analytic proofs. Zbl 1473.37060
Belykh, Vladimir N.; Barabash, Nikita V.; Belykh, Igor V.
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
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.
2021
Quasi-objective coherent structure diagnostics from single trajectories. Zbl 1470.76094
Haller, George; Aksamit, Nikolas; Encinas-Bartos, Alex P.
2021
Non-Bayesian social learning model with periodically switching structures. Zbl 1466.91228
Ha, Yuankai; Guo, Yao; Lin, Wei
2021
On Koopman mode decomposition and tensor component analysis. Zbl 1462.37089
Redman, William T.
2021
Simplicial SIRS epidemic models with nonlinear incidence rates. Zbl 1462.92054
Wang, Dong; Zhao, Yi; Luo, Jianfeng; Leng, Hui
2021
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
2021
Rethinking the definition of rate-induced tipping. Zbl 1470.37104
2021
Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152
Khajanchi, Subhas; Sarkar, Kankan
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
Scenarios of hyperchaos occurrence in 4D Rössler system. Zbl 1451.34056
Stankevich, N.; Kazakov, A.; Gonchenko, S.
2020
Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps. Zbl 1440.39002
Rybalova, E.; Strelkova, G.; Schöll, E.; Anishchenko, V.
2020
A simple locally active memristor and its application in HR neurons. Zbl 1437.94108
Tan, Yumei; Wang, Chunhua
2020
High-dimensional nonlinear wave transitions and their mechanisms. Zbl 1454.35048
Zhang, Xue; Wang, Lei; Liu, Chong; Li, Min; Zhao, Yin-Chuan
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 data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems. Zbl 1433.37077
Wilson, Dan
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
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
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
The third type of chaos in a system of two adaptively coupled phase oscillators. Zbl 1437.34042
Emelianova, Anastasiia A.; Nekorkin, Vladimir I.
2020
Effect of memory, intolerance, and second-order reputation on cooperation. Zbl 1448.91018
Xia, Chengyi; Gracia-Lázaro, Carlos; Moreno, Yamir
2020
Homoclinic chaos in the Rössler model. Zbl 1451.34060
Malykh, Semyon; Bakhanova, Yuliya; Kazakov, Alexey; Pusuluri, Krishna; Shilnikov, Andrey
2020
Fractional $$q$$-deformed chaotic maps: a weight function approach. Zbl 1455.39002
Wu, Guo-Cheng; Niyazi Çankaya, Mehmet; Banerjee, Santo
2020
Dynamics editing based on offset boosting. Zbl 1450.37033
Li, Chunbiao; Lei, Tengfei; Wang, Xiong; Chen, Guanrong
2020
Path length statistics in reservoir computers. Zbl 07269094
Carroll, T. L.
2020
Control of inter-layer synchronization by multiplexing noise. Zbl 1458.93240
Vadivasova, T. E.; Slepnev, A. V.; Zakharova, A.
2020
The effect of heterogeneity on hypergraph contagion models. Zbl 1451.92297
Landry, Nicholas W.; Restrepo, Juan G.
2020
Solving Fokker-Planck equation using deep learning. Zbl 1431.35210
Xu, Yong; Zhang, Hao; Li, Yongge; Zhou, Kuang; Liu, Qi; Kurths, Jürgen
2020
Quadratic response of random and deterministic dynamical systems. Zbl 1434.37032
Galatolo, Stefano; Sedro, Julien
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
Static and dynamic attractive-repulsive interactions in two coupled nonlinear oscillators. Zbl 1435.34049
Dixit, Shiva; Shrimali, Manish Dev
2020
Amplitude Chimera and Chimera death induced by external agents in two-layer networks. Zbl 1437.34047
Verma, Umesh Kumar; Ambika, G.
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
Chimeras and solitary states in 3D oscillator networks with inertia. Zbl 1450.37068
Maistrenko, Volodymyr; Sudakov, Oleksandr; Osiv, Oleksiy
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
Cooperation delay induced chaos in an ecological system. Zbl 1445.92300
Pal, Saheb; Hossain, Mainul; Panday, Pijush; Pati, N. C.; Pal, Nikhil; Chattopadhyay, Joydev
2020
Averaging principle for stochastic differential equations under a weak condition. Zbl 1451.60058
Guo, Zhongkai; Lv, Guangying; Wei, Jinlong
2020
A novel Lyapunov theorem on finite/fixed-time stability of discontinuous impulsive systems. Zbl 1476.34123
Wang, Zengyun; Cao, Jinde; Cai, Zuowei; Abdel-Aty, Mahmoud
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
Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative. Zbl 1435.34031
Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru
2020
Mathematical modeling for adsorption process of Dye removal nonlinear equation using power law and exponentially decaying kernels. Zbl 1437.34012
Qureshi, Sania; Yusuf, Abdullahi; Ali Shaikh, Asif; Inc, Mustafa; Baleanu, Dumitru
2020
Simulation study on nonlinear structures in nonlinear dispersive media. Zbl 1437.76055
Aljahdaly, Noufe H.; El-Tantawy, S. A.
2020
The existence of strange nonchaotic attractors in the quasiperiodically forced Ricker family. Zbl 1447.37071
Li, Gaolei; Yue, Yuan; Li, Denghui; Xie, Jianhua; Grebogi, Celso
2020
Bifurcations of front motion in passive and active Allen-Cahn-type equations. Zbl 1445.35039
Stegemerten, Fenna; Gurevich, Svetlana V.; Thiele, Uwe
2020
Contrasting chaotic with stochastic dynamics via ordinal transition networks. Zbl 1440.37079
Olivares, F.; Zanin, M.; Zunino, L.; Pérez, D. G.
2020
Spontaneous symmetry breaking in purely nonlinear fractional systems. Zbl 1440.35306
Chen, Junbo; Zeng, Jianhua
2020
Lagrangian chaos in steady three-dimensional lid-driven cavity flow. Zbl 1453.76200
Romanò, Francesco; Türkbay, Tuǧçe; Kuhlmann, Hendrik C.
2020
Lie symmetries of two-dimensional shallow water equations with variable bottom topography. Zbl 1445.35279
Bihlo, Alexander; Poltavets, Nataliia; Popovych, Roman O.
2020
Global phase-amplitude description of oscillatory dynamics via the parameterization method. Zbl 1455.34034
Pérez-Cervera, Alberto; M-Seara, Tere; Huguet, Gemma
2020
An averaging principle for fractional stochastic differential equations with Lévy noise. Zbl 1445.35313
Xu, Wenjing; Duan, Jinqiao; Xu, Wei
2020
Dense networks that do not synchronize and sparse ones that do. Zbl 1445.34061
Townsend, Alex; Stillman, Michael; Strogatz, Steven H.
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
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### Cited by 17,631 Authors

 123 Cao, Jinde 108 Chen, Guanrong 100 Kurths, Jürgen 84 Băleanu, Dumitru I. 59 Wang, Xingyuan 51 Haller, George 43 Ha, Seung-Yeal 43 Xu, Wei 41 Jafari, Sajad 41 Tarasov, Vasily E. 38 Crutchfield, James P. 38 Jiang, Haijun 38 Yan, Zhenya 36 Aihara, Kazuyuki 36 Ryashko, Lev Borisovich 36 Sanjuán, Miguel A. F. 35 Li, Wenxue 34 Fang, Jian’an 33 Bashkirtseva, Irina Adol’fovna 33 Grebogi, Celso 33 Mezić, Igor 33 Pham, Viet-Thanh 33 Schöll, Eckehard 33 Small, Michael 33 Zaslavskiĭ, Georgiĭ Moiseevich 32 Atangana, Abdon 32 Ghosh, Dibakar 32 Kapitaniak, Tomasz 31 Fu, Xinchu 31 Li, Chuandong 31 Pikovsky, Arkady S. 30 Anishchenko, Vadim Semenovich 30 Sprott, Julien Clinton 28 Bollt, Erik M. 28 Hu, Cheng 28 Kengne, Jacques 28 Lai, Yingcheng 28 Liao, Xiaofeng 28 Sun, Zhongkui 28 Zhao, Yi 27 Ashwin, Peter 27 Meiss, James D. 27 Rajagopal, Karthikeyan 27 Yang, Xiaosong 26 Gardini, Laura 26 Rodríguez-Luis, Alejandro J. 25 Algaba, Antonio 25 Caldas, Iberê L. 25 Duan, Jinqiao 25 Feng, Jianwen 25 Froyland, Gary 25 Li, Changpin 25 Li, Chunbiao 25 Lu, Jinhu 25 Park, Juhyun (Jessie) 25 Strelkova, Galina Ivanova 24 Letellier, Christophe 24 Liu, Zengrong 24 Lu, Jianquan 24 Lu, Junan 24 Osinga, Hinke Maria 24 Simpson, David John Warwick 23 Abdeljawad, Thabet 23 Doungmo Goufo, Emile Franc 23 Grimshaw, Roger Hamilton James 23 Huang, Tingwen 23 Kurakin, Leonid Gennadievich 23 Su, Huan 23 Wang, Jiang 22 Campos-Cantón, Eric 22 Liu, Xinzhi 22 Ott, Edward 22 Perc, Matjaž 22 Wu, Xiaoqun 22 Yang, Xinsong 21 Bunimovich, Leonid Abramovich 21 Carroll, Thomas L. 21 de la Llave, Rafael 21 Gómez-Aguilar, José Francisco 21 Krauskopf, Bernd 21 Lakshmanan, Muthusamy 21 Malomed, Boris A. 21 Porter, Mason Alexander 21 Vaienti, Sandro 21 Wu, Zhaoyan 20 Danca, Marius-Florin 20 Holden, Arun V. 20 Kuznetsov, Nikolay Vladimirovich 20 Ma, Jun 20 Macau, Elbert E. N. 20 Nekorkin, Vladimir I. 20 Tang, Yang 20 Wei, Juncheng 19 Al-saedi, Ahmed Eid Salem 19 Belykh, Igor V. 19 Brunton, Steven L. 19 Gonchenko, Sergey V. 19 Gottwald, Georg A. 19 Huang, Lihong 19 Knobloch, Edgar ...and 17,531 more Authors
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### Cited in 633 Journals

 2,055 Chaos 865 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 859 Chaos, Solitons and Fractals 609 Physica D 523 Nonlinear Dynamics 466 Communications in Nonlinear Science and Numerical Simulation 297 Applied Mathematics and Computation 214 Journal of Fluid Mechanics 193 Physica A 192 Journal of Statistical Physics 175 Advances in Difference Equations 169 SIAM Journal on Applied Dynamical Systems 151 Journal of Theoretical Biology 144 Journal of the Franklin Institute 139 Mathematical Problems in Engineering 128 Physics Letters. A 124 Journal of Mathematical Physics 121 Journal of Nonlinear Science 110 Regular and Chaotic Dynamics 106 Physics of Fluids 102 Complexity 91 Journal of Mathematical Analysis and Applications 90 Discrete Dynamics in Nature and Society 87 Applied Mathematical Modelling 87 Fractals 86 Computers & Mathematics with Applications 86 Journal of Differential Equations 82 Abstract and Applied Analysis 82 Journal of Statistical Mechanics: Theory and Experiment 80 Journal of Computational Physics 79 Bulletin of Mathematical Biology 78 Nonlinearity 76 Journal of Computational and Applied Mathematics 74 Journal of Mathematical Biology 72 Mathematics and Computers in Simulation 71 Communications in Mathematical Physics 71 Mathematical Biosciences 70 Automatica 69 International Journal of Modern Physics B 67 Celestial Mechanics and Dynamical Astronomy 67 Nonlinear Analysis. Real World Applications 64 Discrete and Continuous Dynamical Systems. Series B 61 Neural Networks 60 Applied Mathematics Letters 59 Dynamical Systems 55 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 53 Discrete and Continuous Dynamical Systems 51 Nonlinear Analysis. Hybrid Systems 46 Neural Computation 44 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 43 Advances in Mathematical Physics 43 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 41 Biological Cybernetics 39 Ergodic Theory and Dynamical Systems 39 Discrete and Continuous Dynamical Systems. Series S 38 International Journal of Theoretical Physics 37 Physics Reports 37 Computational and Applied Mathematics 36 Wave Motion 36 Mathematical Biosciences and Engineering 35 Mathematical Modelling of Natural Phenomena 35 International Journal of Applied and Computational Mathematics 34 New Journal of Physics 33 Modern Physics Letters B 31 Mathematical Methods in the Applied Sciences 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 AIMS Mathematics 29 International Journal of Control 29 Applied Numerical Mathematics 29 International Journal of Computer Mathematics 29 SIAM Journal on Applied Mathematics 29 International Journal of Modern Physics C 29 Entropy 28 Journal of Dynamics and Differential Equations 26 Theoretical and Mathematical Physics 26 Fractional Calculus & Applied Analysis 26 Qualitative Theory of Dynamical Systems 26 Journal of Applied Mathematics 26 Journal of Physics A: Mathematical and Theoretical 25 Journal of Computational Neuroscience 23 Information Sciences 23 International Journal of Biomathematics 23 The Journal of Mathematical Neuroscience 22 Computer Methods in Applied Mechanics and Engineering 22 Journal of Scientific Computing 22 Journal of Vibration and Control 21 International Journal of Robust and Nonlinear Control 21 Journal of Mathematical Sciences (New York) 21 Journal of Computational Dynamics 20 Theoretical Computer Science 20 Systems & Control Letters 20 Circuits, Systems, and Signal Processing 20 International Journal of Systems Science. Principles and Applications of Systems and Integration 19 SIAM Journal on Scientific Computing 19 Nonlinear Analysis. Modelling and Control 18 Applicable Analysis 18 Proceedings of the American Mathematical Society 18 European Journal of Applied Mathematics 18 Stochastic Processes and their Applications 18 Journal of Systems Science and Complexity ...and 533 more Journals
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### Cited in 61 Fields

 4,730 Dynamical systems and ergodic theory (37-XX) 3,920 Ordinary differential equations (34-XX) 2,704 Biology and other natural sciences (92-XX) 2,006 Partial differential equations (35-XX) 1,911 Systems theory; control (93-XX) 1,051 Fluid mechanics (76-XX) 1,028 Numerical analysis (65-XX) 842 Statistical mechanics, structure of matter (82-XX) 790 Mechanics of particles and systems (70-XX) 668 Probability theory and stochastic processes (60-XX) 665 Information and communication theory, circuits (94-XX) 510 Real functions (26-XX) 483 Computer science (68-XX) 442 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 425 Combinatorics (05-XX) 361 Quantum theory (81-XX) 329 Statistics (62-XX) 307 Operations research, mathematical programming (90-XX) 230 Difference and functional equations (39-XX) 221 Mechanics of deformable solids (74-XX) 209 Optics, electromagnetic theory (78-XX) 194 Measure and integration (28-XX) 174 Operator theory (47-XX) 167 Geophysics (86-XX) 119 Calculus of variations and optimal control; optimization (49-XX) 119 Classical thermodynamics, heat transfer (80-XX) 102 Integral equations (45-XX) 93 Special functions (33-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 62 Global analysis, analysis on manifolds (58-XX) 52 Differential geometry (53-XX) 40 Number theory (11-XX) 39 Integral transforms, operational calculus (44-XX) 38 Astronomy and astrophysics (85-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 35 General topology (54-XX) 32 Approximations and expansions (41-XX) 29 General and overarching topics; collections (00-XX) 27 Functions of a complex variable (30-XX) 27 Functional analysis (46-XX) 26 Relativity and gravitational theory (83-XX) 22 History and biography (01-XX) 21 Mathematical logic and foundations (03-XX) 18 Algebraic topology (55-XX) 16 Manifolds and cell complexes (57-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Convex and discrete geometry (52-XX) 9 Algebraic geometry (14-XX) 8 Group theory and generalizations (20-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 3 Field theory and polynomials (12-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 3 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 2 Potential theory (31-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)