ChaosAn 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. 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) 30, No. 11 (2020) 30, No. 10 (2020) 30, No. 9 (2020) 30, No. 8 (2020) 30, No. 7 (2020) 30, No. 6 (2020) 30, No. 5 (2020) 30, No. 4 (2020) 30, No. 3 (2020) 30, No. 2 (2020) 30, No. 1 (2020) 29, No. 12 (2019) 29, No. 11 (2019) 29, No. 10 (2019) 29, No. 9 (2019) 29, No. 8 (2019) 29, No. 7 (2019) 29, No. 6 (2019) 29, No. 5 (2019) 29, No. 4 (2019) 29, No. 3 (2019) 29, No. 2 (2019) 29, No. 1 (2019) 28, No. 12 (2018) 28, No. 11 (2018) 28, No. 10 (2018) 28, No. 9 (2018) 28, No. 8 (2018) 28, No. 7 (2018) 28, No. 6 (2018) 28, No. 5 (2018) 28, No. 4 (2018) 28, No. 3 (2018) 28, No. 2 (2018) 28, No. 1 (2018) 27, No. 12 (2017) 27, No. 11 (2017) 27, No. 10 (2017) 27, No. 9 (2017) 27, No. 8 (2017) 27, No. 7 (2017) 27, No. 6 (2017) 27, No. 5 (2017) 27, No. 4 (2017) 27, No. 3 (2017) 27, No. 2 (2017) 27, No. 1 (2017) 26, No. 12 (2016) 26, No. 11 (2016) 26, No. 10 (2016) 26, No. 9 (2016) 26, No. 8 (2016) 26, No. 7 (2016) 26, No. 6 (2016) 26, No. 5 (2016) 26, No. 4 (2016) 26, No. 3 (2016) 26, No. 2 (2016) 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) 24, No. 2 (2014) 24, No. 1 (2014) 23, No. 4 (2013) 23, No. 3 (2013) 23, No. 2 (2013) 23, No. 1 (2013) 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 all top 5 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 Lakshmanan, Muthusamy 12 Sorrentino, Francesco 12 Wang, Xingyuan 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 Afraimovich, Valentin S. 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 Yanchuk, Sergiĭ Volodymyrovych 9 Ashwin, Peter 9 Dettmann, Carl P. 9 Dudkowski, Dawid 9 Fortuna, Luigi 9 Frasca, Mattia 9 Fu, Xinchu 9 Grimshaw, Roger Hamilton James 9 Kofané, Timoléon Crépin 9 Li, Yuxia 9 Liao, Xiaofeng 9 Naimzada, Ahmad K. 9 Nakao, Hiroya 9 Nijmeijer, Henk 9 Porter, Mason Alexander 9 Schwartz, Ira Bruce 9 Shang, Pengjian 9 Sprott, Julien Clinton 9 Strogatz, Steven Henry 9 Viana, Ricardo Luiz 9 Yuan, Fang 9 Yudovich, Viktor Iosifovich 9 Zhan, Meng 8 Aguirre, Luis Antonio 8 Amigó, José María 8 Belykh, Igor V. 8 Blakely, Jonathan N. 8 Buldú, Javier M. 8 Criado, Regino 8 Donner, Reik V. 8 Eleonskij, V. M. 8 Gaspard, Pierre 8 Gauthier, Daniel J. 8 Kiss, István Z. 8 Leonel, Edson Denis ...and 6,104 more Authors all top 5 Fields 1,774 Dynamical systems and ergodic theory (37-XX) 1,051 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) 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,923 Publications have been cited 23,311 times in 14,460 Documents Cited by ▼ Year ▼ Fractional kinetic equations: Solutions and applications. Zbl 0933.37029Saichev, Alexander I.; Zaslavsky, George M. 259 1997 Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058Ott, Edward; Antonsen, Thomas M. 180 2008 Fundamentals of synchronization in chaotic systems, concepts, and applications. Zbl 0933.37030Pecora, Louis M.; Carroll, Thomas L.; Johnson, Gregg A.; Mar, Douglas J.; Heagy, James F. 170 1997 Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522Hegger, Rainer; Kantz, Holger; Schreiber, Thomas 145 1999 From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022Sokolov, I. M.; Klafter, J. 138 2005 Adaptive synchronization of neural networks with or without time-varying delay. Zbl 1144.37331Cao, Jinde; Lu, Jianquan 122 2006 Pinning synchronization of delayed dynamical networks via periodically intermittent control. Zbl 1311.93061Xia, Weiguo; Cao, Jinde 115 2009 Applied koopmanism. Zbl 1319.37013Budišić, Marko; Mohr, Ryan; Mezić, Igor 115 2012 A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator. Zbl 1420.92039Baleanu, D.; Jajarmi, A.; Sajjadi, S. S.; Mozyrska, D. 110 2019 Fractional differentiability of nowhere differentiable functions and dimensions. Zbl 1055.26504Kolwankar, Kiran M.; Gangal, Anil D. 108 1996 Long time evolution of phase oscillator systems. Zbl 1309.34059Ott, Edward; Antonsen, Thomas M. 105 2009 Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Zbl 1069.92503Fenton, Flavio; Karma, Alain 98 1998 Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Zbl 0987.70010Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 88 2000 Finding finite-time invariant manifolds in two-dimensional velocity fields. Zbl 0979.37012Haller, G. 82 2000 Fractals and quantum mechanics. Zbl 1071.81513Laskin, Nick 80 2000 Generalized outer synchronization between complex dynamical networks. Zbl 1311.34119Wu, Xiaoqun; Zheng, Wei Xing; Zhou, Jin 78 2009 Overview of coupled map lattices. Zbl 1055.37540Kaneko, Kunihiko 71 1992 Anticontrol of chaos in continuous-time systems via time-delay feedback. Zbl 0967.93045Wang, Xiao Fan; Chen, Guanrong; Yu, Xinghuo 70 2000 The size of the sync basin. Zbl 1144.37417Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle 69 2006 Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media. Zbl 1031.76502Winfree, Arthur T. 67 1992 Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua 67 2013 New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang 66 2019 The impact of awareness on epidemic spreading in networks. Zbl 1331.92154Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian 65 2012 On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo 65 2016 Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383Wang, Zhian; Hillen, Thomas 64 2007 Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Zbl 1144.37378Lu, Jianquan; Cao, Jinde 64 2005 Transport in time-dependent dynamical systems: finite-time coherent sets. Zbl 1311.37008Froyland, Gary; Santitissadeekorn, Naratip; Monahan, Adam 63 2010 Dynamic analysis of the fractional-order Liu system and its synchronization. Zbl 1163.37382Wang, Xing-Yuan; Wang, Ming-Jun 61 2007 A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence. Zbl 1423.92093Jajarmi, Amin; Ghanbari, Behzad; Baleanu, Dumitru 61 2019 Homoclinic snaking: Structure and stability. Zbl 1163.37317Burke, John; Knobloch, Edgar 60 2007 On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016Owolabi, Kolade M.; Atangana, Abdon 60 2019 A new method to realize cluster synchronization in connected chaotic networks. Zbl 1146.37330Ma, Zhongjun; Liu, Zengrong; Zhang, Gang 57 2006 Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Zbl 1311.34082Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H. 55 2009 Fractional dynamics of coupled oscillators with long-range interaction. Zbl 1152.37345Tarasov, Vasily E.; Zaslavsky, George M. 54 2006 A unifying definition of synchronization for dynamical systems. Zbl 0973.34041Brown, Reggie; Kocarev, Ljupčo 53 2000 Pinning control of fractional-order weighted complex networks. Zbl 1311.34018Tang, Yang; Wang, Zidong; Fang, Jian-an 53 2009 Multistationarity, the basis of cell differentiation and memory. II: Logical analysis of regulatory networks in terms of feedback circuits. Zbl 0997.92012Thomas, R.; Kaufman, M. 52 2001 Cluster synchronization in community networks with nonidentical nodes. Zbl 1309.34107Wang, Kaihua; Fu, Xinchu; Li, Kezan 52 2009 Outer synchronization of coupled discrete-time networks. Zbl 1311.34115Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen 52 2009 Persistent clusters in lattices of coupled nonidentical chaotic systems. Zbl 1080.37525Belykh, I.; Belykh, V.; Nevidin, K.; Hasler, M. 52 2003 Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Zbl 0933.37024Zaslavsky, G. M.; Edelman, M.; Niyazov, B. A. 51 1997 Multistationarity, the basis of cell differentiation and memory. I: Structural conditions of multistationarity and other nontrivial behavior. Zbl 0997.92011Thomas, R.; Kaufman, M. 51 2001 Cluster synchronization in networks of coupled nonidentical dynamical systems. Zbl 1311.34117Lu, Wenlian; Liu, Bo; Chen, Tianping 51 2010 Regularities unseen, randomness observed: levels of entropy convergence. Zbl 1080.94006Crutchfield, James P.; Feldman, David P. 51 2003 Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru 49 2019 A chaotic circuit based on Hewlett-Packard memristor. Zbl 1331.34074Buscarino, Arturo; Fortuna, Luigi; Frasca, Mattia; Valentina Gambuzza, Lucia 49 2012 Compound synchronization of four memristor chaotic oscillator systems and secure communication. Zbl 1319.34093Sun, Junwei; Shen, Yi; Yin, Quan; Xu, Chengjie 49 2013 The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020Pesin, Yakov; Weiss, Howard 48 1997 Periodicity, chaos, and multiple attractors in a memristor-based Shinriki’s circuit. Zbl 1374.94910Kengne, J.; Njitacke Tabekoueng, Z.; Kamdoum Tamba, V.; Nguomkam Negou, A. 48 2015 Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V. 48 1996 Combination synchronization of three classic chaotic systems using active backstepping design. Zbl 1317.93114Runzi, Luo; Yinglan, Wang; Shucheng, Deng 48 2011 A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312Chen, Wen 48 2006 On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 47 1997 Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos. Zbl 1163.37336Innocenti, Giacomo; Morelli, Alice; Genesio, Roberto; Torcini, Alessandro 47 2007 Exponential stabilization of chaotic systems with delay by periodically intermittent control. Zbl 1159.93353Li, Chuandong; Liao, Xiaofeng; Huang, Tingwen 47 2007 Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo. Zbl 1390.34159Wei, Zhouchao; Moroz, Irene; Sprott, J. C.; Akgul, Akif; Zhang, Wei 46 2017 Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel. Zbl 1404.92211Yusuf, Abdullahi; Qureshi, Sania; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali 46 2018 Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. Zbl 1390.37138Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward 45 2017 A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Zbl 0987.37080Mezić, Igor; Wiggins, Stephen 45 1999 Synchronization of complex dynamical networks via impulsive control. Zbl 1163.37389Zhang, Gang; Liu, Zengrong; Ma, Zhongjun 45 2007 Computing Lagrangian coherent structures from their variational theory. Zbl 1331.37128Farazmand, Mohammad; Haller, George 45 2012 Synchronization of chaotic systems with delay using intermittent linear state feedback. Zbl 1309.34096Huang, Tingwen; Li, Chuandong; Liu, Xinzhi 44 2008 Synchronization of complex networks through local adaptive coupling. Zbl 1309.34090De Lellis, Pietro; di Bernardo, Mario; Garofalo, Franco 44 2008 Synchronization of chaotic systems. Zbl 1374.34002Pecora, Louis M.; Carroll, Thomas L. 43 2015 Characterizing strange nonchaotic attractors. Zbl 1055.37519Pikovsky, Arkady S.; Feudel, Ulrike 43 1995 The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520Kurakin, L. G.; Yudovich, V. I. 43 2002 Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001Pikovsky, Arkady; Rosenblum, Michael 42 2015 New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru 40 2018 Extreme multistability: attractor manipulation and robustness. Zbl 1374.34219Hens, Chittaranjan; Dana, Syamal K.; Feudel, Ulrike 40 2015 The Fermi-Pasta-Ulam problem: fifty years of progress. Zbl 1080.37077Berman, G. P.; Izrailev, F. M. 40 2005 Impulsive stabilization and synchronization of a class of chaotic delay systems. Zbl 1144.37371Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen 39 2005 Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation. Zbl 1146.37343Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Maity, Somnath; Mohanan, Srijith; Banerjee, Soumitro 39 2006 Impulsive synchronization of chaotic systems. Zbl 1080.37034Li, Chuandong; Liao, Xiaofeng; Zhang, Xingyou 39 2005 Spectral properties of Chimera states. Zbl 1345.34067Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L. 38 2011 Stability diagram for the forced Kuramoto model. Zbl 1309.34088Childs, Lauren M.; Strogatz, Steven H. 38 2008 Chimera states in heterogeneous networks. Zbl 1311.34080Laing, Carlo R. 38 2009 The influence of time delay in a chaotic cancer model. Zbl 1400.92265Khajanchi, Subhas; Perc, Matjaž; Ghosh, Dibakar 37 2018 Resolution of a shock in hyperbolic systems modified by weak dispersion. Zbl 1144.37341El, G. A. 37 2005 Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G. 37 2008 Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster. Zbl 1375.92014Desroches, Mathieu; Kaper, Tasso J.; Krupa, Martin 37 2013 Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method. Zbl 1080.65532Kneisl, Kyle 37 2001 Mushrooms and other billiards with divided phase space. Zbl 1080.37582Bunimovich, Leonid A. 37 2001 New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives. Zbl 1406.92328Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet 36 2019 Multistability and the control of complexity. Zbl 0933.37032Feudel, Ulrike; Grebogi, Celso 36 1997 The iteration-approximation decoupling in the reversible KAM theory. Zbl 1055.37576Sevryuk, M. B. 36 1995 Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems – a symbolic-numeric computation approach. Zbl 1080.93008Yan, Zhenya 36 2005 Food chain chaos due to Shilnikov’s orbit. Zbl 1080.92518Deng, Bo; Hines, Gwendolen 36 2002 Mixed outer synchronization of coupled complex networks with time-varying coupling delay. Zbl 1345.34102Wang, Jun-Wei; Ma, Qinghua; Zeng, Li; Abd-Elouahab, Mohammed Salah 35 2011 Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes. Zbl 1374.92167Siero, E.; Doelman, A.; Eppinga, M. B.; Rademacher, J. D. M.; Rietkerk, M.; Siteur, K. 35 2015 Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients. Zbl 1374.35381Kedziora, D. J.; Ankiewicz, A.; Chowdury, A.; Akhmediev, N. 35 2015 Localized patterns in reaction-diffusion systems. Zbl 1163.37381Vanag, Vladimir K.; Epstein, Irving R. 35 2007 Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems. Zbl 1387.37045Shirasaka, Sho; Kurebayashi, Wataru; Nakao, Hiroya 34 2017 Weak chimeras in minimal networks of coupled phase oscillators. Zbl 1345.34052Ashwin, Peter; Burylko, Oleksandr 34 2015 Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. Zbl 1311.92017Hu, Cheng; Yu, Juan; Jiang, Haijun; Teng, Zhidong 34 2010 Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152Khajanchi, Subhas; Sarkar, Kankan 34 2020 An approach to chaotic synchronization. Zbl 1080.37029Dramov, Alexander E.; Koronovskii, Alexey A. 34 2004 Extended dynamic mode decomposition with dictionary learning: a data-driven adaptive spectral decomposition of the Koopman operator. Zbl 06876982Li, Qianxiao; Dietrich, Felix; Bollt, Erik M.; Kevrekidis, Ioannis G. 34 2017 Two-dimensional global manifolds of vector fields. Zbl 0983.37110Krauskopf, Bernd; Osinga, Hinke 33 1999 Combinatorial explosion in model gene networks. Zbl 1033.92014Edwards, R.; Glass, L. 33 2000 A numerical method for the solution of the bidomain equations in cardiac tissue. Zbl 1069.92507Keener, J. P.; Bogar, K. 33 1998 Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background. Zbl 1467.35273Zhang, Hai-Qiang; Chen, Fa 10 2021 Dynamics of a fractional epidemiological model with disease infection in both the populations. Zbl 1460.92184Baishya, Chandrali; Achar, Sindhu J.; Veeresha, P.; Prakasha, D. G. 8 2021 On discrete Lorenz-like attractors. Zbl 1465.37047Gonchenko, Sergey; Gonchenko, Alexander; Kazakov, Alexey; Samylina, Evgeniya 6 2021 Fractional-calculus analysis of the transmission dynamics of the dengue infection. Zbl 1462.92053Srivastava, H. M.; Jan, Rashid; Jan, Asif; Deebani, Wejdan; Shutaywi, Meshal 6 2021 Fractional calculus with exponential memory. Zbl 1459.26010Fu, Hui; Wu, Guo-Cheng; Yang, Guang; Huang, Lan-Lan 6 2021 Multi-scroll hidden attractor in memristive HR neuron model under electromagnetic radiation and its applications. Zbl 1458.34095Zhang, Sen; Zheng, Jiahao; Wang, Xiaoping; Zeng, Zhigang 5 2021 Shilnikov attractors in three-dimensional orientation-reversing maps. Zbl 1458.34090Karatetskaia, Efrosiniia; Shykhmamedov, Aikan; Kazakov, Alexey 5 2021 Mitigating long transient time in deterministic systems by resetting. Zbl 1466.37060Ray, Arnob; Pal, Arnab; Ghosh, Dibakar; Dana, Syamal K.; Hens, Chittaranjan 5 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 07338235Bollt, Erik 5 2021 Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365Zhang, Guoqiang; Ling, Liming; Yan, Zhenya; Konotop, Vladimir V. 5 2021 On the interpretation of Dirac \(\boldsymbol{\delta}\) pulses in differential equations for phase oscillators. Zbl 1459.34091Klinshov, Vladimir; Lücken, Leonhard; Feketa, Petro 5 2021 Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions. Zbl 1458.92033Dixit, Shiva; Nag Chowdhury, Sayantan; Prasad, Awadhesh; Ghosh, Dibakar; Shrimali, Manish Dev 4 2021 The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. Zbl 1470.34085Esteban, M.; Llibre, J.; Valls, C. 4 2021 Multistability analysis and nonlinear vibration for generator set in series hybrid electric vehicle through electromechanical coupling. Zbl 1471.74030Tametang Meli, Maxim Idriss; Leutcho, Gervais Dolvis; Yemele, David 4 2021 Mixed-mode oscillations from a constrained extended Bonhoeffer-Van der Pol oscillator with a diode. Zbl 1469.94195Inaba, Naohiko; Kousaka, Takuji; Tsubone, Tadashi; Okazaki, Hideaki; Ito, Hidetaka 4 2021 Enhanced logical chaotic resonance. Zbl 1458.94329Yao, Yuangen; Ma, Jun; Gui, Rong; Cheng, Guanghui 3 2021 Noise-induced complex oscillatory dynamics in the Zeldovich-Semenov model of a continuous stirred tank reactor. Zbl 1458.80007Ryashko, Lev 3 2021 Enhancement of dynamical robustness in a mean-field coupled network through self-feedback delay. Zbl 1458.34092Sharma, Amit; Rakshit, Biswambhar 3 2021 Topological characterization of toroidal chaos: a branched manifold for the Deng toroidal attractor. Zbl 1458.37052Mangiarotti, Sylvain; Letellier, Christophe 3 2021 Sliding homoclinic bifurcations in a Lorenz-type system: analytic proofs. Zbl 1473.37060Belykh, Vladimir N.; Barabash, Nikita V.; Belykh, Igor V. 3 2021 A 2D hyperchaotic map with conditional symmetry and attractor growth. Zbl 1468.37035Kong, Sixiao; Li, Chunbiao; Jiang, Haibo; Lai, Qiang; Jiang, Xiaowei 3 2021 Simplicial SIRS epidemic models with nonlinear incidence rates. Zbl 1462.92054Wang, Dong; Zhao, Yi; Luo, Jianfeng; Leng, Hui 3 2021 Revival of oscillation and symmetry breaking in coupled quantum oscillators. Zbl 1465.81015Bandyopadhyay, Biswabibek; Banerjee, Tanmoy 3 2021 Invasive dynamics for a predator-prey system with allee effect in both populations and a special emphasis on predator mortality. Zbl 1459.92163Rana, Sourav; Bhowmick, Amiya Ranjan; Sardar, Tridip 3 2021 Synchronization of wave structures in a heterogeneous multiplex network of 2D lattices with attractive and repulsive intra-layer coupling. Zbl 1458.34093Shepelev, I. A.; Muni, S. S.; Vadivasova, T. E. 2 2021 Eliminating synchronization of coupled neurons adaptively by using feedback coupling with heterogeneous delays. Zbl 1458.92019Zhou, Shijie; Lin, Wei 2 2021 Combinatorial invariant for Morse-Smale diffeomorphisms on surfaces with orientable heteroclinic. Zbl 1465.37028Malyshev, D.; Morozov, A.; Pochinka, O. 2 2021 Breaking of integrability and conservation leading to Hamiltonian chaotic system and its energy-based coexistence analysis. Zbl 1466.37047Qi, Guoyuan; Gou, Ting; Hu, Jianbing; Chen, Guanrong 2 2021 Chaos in the peroxidase-oxidase oscillator. Zbl 1458.92029Olsen, Lars F.; Lunding, Anita 2 2021 Nonlinear dynamical behavior of an SEIR mathematical model: effect of information and saturated treatment. Zbl 1460.92191Das, Tanuja; Srivastava, Prashant K.; Kumar, Anuj 2 2021 How adherence to public health measures shapes epidemic spreading: a temporal network model. Zbl 1460.92186Behring, Brandon M.; Rizzo, Alessandro; Porfiri, Maurizio 2 2021 Quasi-objective coherent structure diagnostics from single trajectories. Zbl 1470.76094Haller, George; Aksamit, Nikolas; Encinas-Bartos, Alex P. 2 2021 Stochastic analysis of COVID-19 by a SEIR model with Lévy noise. Zbl 1460.92193Ding, Yamin; Fu, Yuxuan; Kang, Yanmei 2 2021 Some elements for a history of the dynamical systems theory. Zbl 1462.37002Letellier, 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. 2 2021 ordpy: a Python package for data analysis with permutation entropy and ordinal network methods. Zbl 1465.62006Pessa, Arthur A. B.; Ribeiro, Haroldo V. 2 2021 Repulsive inter-layer coupling induces anti-phase synchronization. Zbl 1465.34065Shepelev, Igor A.; Muni, Sishu S.; Schöll, Eckehard; Strelkova, Galina I. 2 2021 Stochastic transformations of multi-rhythmic dynamics and order-chaos transitions in a discrete 2D model. Zbl 1465.92007Tsvetkov, Ivan; Bashkirtseva, Irina; Ryashko, Lev 2 2021 Bistability in a tri-trophic food chain model: basin stability perspective. Zbl 1468.92062Pattanayak, Debarghya; Mishra, Arindam; Dana, Syamal K.; Bairagi, Nandadulal 2 2021 Emergence and synchronization of a reversible core in a system of forced adaptively coupled Kuramoto oscillators. Zbl 1459.34117Emelianova, Anastasiia A.; Nekorkin, Vladimir I. 2 2021 Nonlinear waves in a quintic FitzHugh-Nagumo model with cross diffusion: fronts, pulses, and wave trains. Zbl 1460.35202Zemskov, Evgeny P.; Tsyganov, Mikhail A.; Kassner, Klaus; Horsthemke, Werner 2 2021 On the abrupt change of the maximum likelihood state in a simplified stochastic thermohaline circulation system. Zbl 1458.86007Yang, Fang; Sun, Xu; Duan, Jinqiao 1 2021 Random-matrix theory for the Lindblad master equation. Zbl 1458.81031Lange, Stefan; Timm, Carsten 1 2021 Ordinal patterns in the Duffing oscillator: analyzing powers of characterization. Zbl 1458.37084Gunther, Ivan; Pattanayak, Arjendu K.; Aragoneses, Andrés 1 2021 On the hybrid Davies like generator for quantum dissipation. Zbl 1458.81030Chruściński, Dariusz 1 2021 Control of tipping points in stochastic mutualistic complex networks. Zbl 1458.92086Meng, Yu; Grebogi, Celso 1 2021 Nonlinear excitations of magnetosonic solitary waves and their chaotic behavior in spin-polarized degenerate quantum magnetoplasma. Zbl 1458.76136Rahim, Zakia; Adnan, Muhammad; Qamar, Anisa 1 2021 Consensus on simplicial complexes: results on stability and synchronization. Zbl 1461.93464DeVille, Lee 1 2021 Solitons in complex systems of chiral fields with Kuramoto interactions. Zbl 1494.35064Lohe, M. A. 1 2021 An overview of epidemic models with phase transitions to absorbing states running on top of complex networks. Zbl 1458.92076Mata, Angélica S. 1 2021 A SIRD epidemic model with community structure. Zbl 1458.92081Yang, Jin-Xuan 1 2021 Dynamics of the price-volume information flow based on surrogate time series. Zbl 1458.91167Nie, Chun-Xiao 1 2021 Complex networks identification using Bayesian model with independent Laplace prior. Zbl 1458.62136Zhang, Yichi; Li, Yonggang; Deng, Wenfeng; Huang, Keke; Yang, Chunhua 1 2021 A generalized permutation entropy for noisy dynamics and random processes. Zbl 1458.62193Amigó, José M.; Dale, Roberto; Tempesta, Piergiulio 1 2021 Collision of a hard ball with singular points of the boundary. Zbl 1493.70063Attarchi, H.; Bunimovich, L. A. 1 2021 Nonexistence of invariant tori transverse to foliations: an application of converse KAM theory. Zbl 1458.37044Duignan, Nathan; Meiss, James D. 1 2021 Multifunctionality in a reservoir computer. Zbl 1458.92006Flynn, Andrew; Tsachouridis, Vassilios A.; Amann, Andreas 1 2021 Estimating entropy rate from censored symbolic time series: a test for time-irreversibility. Zbl 1466.37065Salgado-García, R.; Maldonado, Cesar 1 2021 Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan 1 2021 Phase coalescence in a population of heterogeneous Kuramoto oscillators. Zbl 1460.34057Phogat, Richa; Ray, Arnob; Parmananda, P.; Ghosh, Dibakar 1 2021 On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system. Zbl 1469.37016Guo, Siyu; Luo, Albert C. J. 1 2021 On scenarios of the onset of homoclinic attractors in three-dimensional non-orientable maps. Zbl 1468.37034Gonchenko, A. S.; Gonchenko, M. S.; Kozlov, A. D.; Samylina, E. A. 1 2021 Spatiotemporal patterns in a 2D lattice with linear repulsive and nonlinear attractive coupling. Zbl 1460.94092Shepelev, I. A.; Muni, S. S.; Vadivasova, T. E. 1 2021 Non-Bayesian social learning model with periodically switching structures. Zbl 1466.91228Ha, Yuankai; Guo, Yao; Lin, Wei 1 2021 On Koopman mode decomposition and tensor component analysis. Zbl 1462.37089Redman, William T. 1 2021 Chaotic transients, riddled basins, and stochastic transitions in coupled periodic logistic maps. Zbl 1462.34074Bashkirtseva, Irina; Ryashko, Lev 1 2021 Effects of non-local competition on plankton-fish dynamics. Zbl 1462.92057Pal, Mrinal Kanti; Poria, Swarup 1 2021 Reduced-order models for coupled dynamical systems: data-driven methods and the Koopman operator. Zbl 1470.37108Santos Gutiérrez, Manuel; Lucarini, Valerio; Chekroun, Mickaël D.; Ghil, Michael 1 2021 Quint points lattice in a driven Belousov-Zhabotinsky reaction model. Zbl 1462.92060Field, Richard J.; Freire, Joana G.; Gallas, Jason A. C. 1 2021 Rethinking the definition of rate-induced tipping. Zbl 1470.37104Hoyer-Leitzel, Alanna; Nadeau, Alice N. 1 2021 Experimental chaotic synchronization for coupled double pendula. Zbl 1465.70004Dudkowski, Dawid; Wojewoda, Jerzy; Czołczyński, Krzysztof; Kapitaniak, Tomasz 1 2021 Discriminating Gaussian processes via quadratic form statistics. Zbl 1471.62451Balcerek, Michał; Burnecki, Krzysztof; Sikora, Grzegorz; Wyłomańska, Agnieszka 1 2021 Large amplitude capillary-gravity solitary waves in a stratified fluid sandwiched between two deep homogeneous layers. Zbl 1465.76020Derzho, Oleg G. 1 2021 Appearance of chaos and hyperchaos in evolving pendulum network. Zbl 1465.34049Munyaev, Vyacheslav O.; Khorkin, Dmitry S.; Bolotov, Maxim I.; Smirnov, Lev A.; Osipov, Grigory V. 1 2021 Existence of an energy function for three-dimensional chaotic “Sink-source” cascades. Zbl 1476.37043Barinova, M.; Grines, V.; Pochinka, O.; Yu, B. 1 2021 Locally active memristor based oscillators: the dynamic route from period to chaos and hyperchaos. Zbl 1472.34101Ying, Jiajie; Liang, Yan; Wang, Guangyi; Iu, Herbert Ho-Ching; Zhang, Jian; Jin, Peipei 1 2021 Geometric invariance of determining and resonating centers: odd- and any-number limitations of Pyragas control. Zbl 1476.37035de Wolff, B.; Schneider, I. 1 2021 Oscillatory microcells connected on a ring by chemical waves. Zbl 1465.92041Safonov, Dmitry A.; Vanag, Vladimir K. 1 2021 Transition pathways for a class of high dimensional stochastic dynamical systems with Lévy noise. Zbl 1481.37054Hu, Jianyu; Chen, Jianyu 1 2021 Optimal test-kit-based intervention strategy of epidemic spreading in heterogeneous complex networks. Zbl 1468.92042Ghosh, Subrata; Senapati, Abhishek; Chattopadhyay, Joydev; Hens, Chittaranjan; Ghosh, Dibakar 1 2021 Collective behaviors of mean-field coupled Stuart-Landau limit-cycle oscillators under additional repulsive links. Zbl 1468.34051Wang, Jianwei; Zou, Wei 1 2021 Transient circulant clusters in two-population network of Kuramoto oscillators with different rules of coupling adaptation. Zbl 1468.34067Kasatkin, D. V.; Nekorkin, V. I. 1 2021 Fractal generation in a two-dimensional active-nematic fluid. Zbl 1468.92019Mitchell, Kevin A.; Tan, Amanda J.; Arteaga, Jorge; Hirst, Linda S. 1 2021 Neuronal synchronization in long-range time-varying networks. Zbl 1468.92025Rakshit, Sarbendu; Majhi, Soumen; Kurths, Jürgen; Ghosh, Dibakar 1 2021 Exploiting circadian memory to hasten recovery from circadian misalignment. Zbl 1468.92018Ahmed, Talha; Wilson, Dan 1 2021 Synchronization scenarios in three-layer networks with a hub. Zbl 1468.92026Sawicki, Jakub; Koulen, Julia M.; Schöll, Eckehard 1 2021 Achieving criticality for reservoir computing using environment-induced explosive death. Zbl 1459.34120Mandal, Swarnendu; Shrimali, Manish Dev 1 2021 Reservoir computing with swarms. Zbl 1459.37072Lymburn, Thomas; Algar, Shannon D.; Small, Michael; Jüngling, Thomas 1 2021 Characterizing dynamical transitions by statistical complexity measures based on ordinal pattern transition networks. Zbl 1459.37071Huang, Min; Sun, Zhongkui; Donner, Reik V.; Zhang, Jie; Guan, Shuguang; Zou, Yong 1 2021 Diffusion-induced regular and chaotic patterns in a ratio-dependent predator-prey model with fear factor and prey refuge. Zbl 1459.92074Chakraborty, Bhaskar; Baek, Hunki; Bairagi, Nandadulal 1 2021 Electrical circuits involving fractal time. Zbl 1459.26012Khalili Golmankhaneh, Alireza; Kamal Ali, Karmina; Yilmazer, Resat; Welch, Kerri 1 2021 Infinite ergodicity that preserves the Lebesgue measure. Zbl 1466.37064Okubo, Ken-ichi; Umeno, Ken 1 2021 Synchronization and locking in oscillators with flexible periods. Zbl 1460.92037Savinov, Mariya; Swigon, David; Ermentrout, Bard 1 2021 Game dynamics of emotion evolution based on the Moran process. Zbl 1461.91043Dai, Ya-yun; Zhan, Guang-jie; Ye, Ye; Bao, Wei; Wen, Tao; Cheong, Kang Hao; Xie, Neng-gang 1 2021 Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152Khajanchi, Subhas; Sarkar, Kankan 34 2020 A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation. Zbl 1437.34064Zhang, Sen; Wang, Xiaoping; Zeng, Zhigang 17 2020 Relay and complete synchronization in heterogeneous multiplex networks of chaotic maps. Zbl 1440.39002Rybalova, E.; Strelkova, G.; Schöll, E.; Anishchenko, V. 12 2020 Fractional \(q\)-deformed chaotic maps: a weight function approach. Zbl 1455.39002Wu, Guo-Cheng; Niyazi Çankaya, Mehmet; Banerjee, Santo 12 2020 A simple locally active memristor and its application in HR neurons. Zbl 1437.94108Tan, Yumei; Wang, Chunhua 11 2020 Scenarios of hyperchaos occurrence in 4D Rössler system. Zbl 1451.34056Stankevich, N.; Kazakov, A.; Gonchenko, S. 11 2020 High-dimensional nonlinear wave transitions and their mechanisms. Zbl 1454.35048Zhang, Xue; Wang, Lei; Liu, Chong; Li, Min; Zhao, Yin-Chuan 10 2020 ...and 1402 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 19,359 Authors 130 Cao, Jinde 113 Chen, Guanrong 103 Kurths, Jürgen 95 Băleanu, Dumitru I. 65 Wang, Xingyuan 56 Xu, Wei 53 Haller, George 47 Jafari, Sajad 45 Ha, Seung-Yeal 43 Tarasov, Vasily E. 42 Jiang, Haijun 42 Yan, Zhenya 41 Ryashko, Lev Borisovich 41 Sanjuán, Miguel A. F. 40 Bashkirtseva, Irina Adol’fovna 39 Crutchfield, James P. 38 Rajagopal, Karthikeyan 37 Pham, Viet-Thanh 36 Aihara, Kazuyuki 36 Ghosh, Dibakar 36 Li, Wenxue 35 Li, Chuandong 35 Small, Michael 35 Sprott, Julien Clinton 34 Fang, Jian’an 34 Mezić, Igor 34 Schöll, Eckehard 33 Grebogi, Celso 33 Sun, Zhongkui 33 Zaslavskiĭ, Georgiĭ Moiseevich 32 Atangana, Abdon 32 Fu, Xinchu 32 Kapitaniak, Tomasz 32 Pikovsky, Arkady S. 30 Abdeljawad, Thabet 30 Hu, Cheng 30 Zhao, Yi 29 Anishchenko, Vadim Semenovich 29 Bollt, Erik M. 29 Caldas, Iberê L. 29 Doungmo Goufo, Emile Franc 29 Li, Chunbiao 29 Meiss, James D. 29 Simpson, David John Warwick 29 Yang, Xiaosong 28 Duan, Jinqiao 28 Froyland, Gary 28 Kengne, Jacques 28 Lai, Yingcheng 28 Liao, Xiaofeng 27 Ashwin, Peter 27 Ma, Jun 27 Rodríguez-Luis, Alejandro J. 26 Algaba, Antonio 26 Feng, Jianwen 26 Gardini, Laura 26 Gómez-Aguilar, José Francisco 26 Lu, Jianquan 26 Park, Juhyun (Jessie) 25 Letellier, Christophe 25 Li, Changpin 25 Liu, Xinzhi 25 Liu, Zengrong 25 Lu, Jinhu 25 Malomed, Boris A. 25 Perc, Matjaž 25 Strelkova, Galina Ivanova 25 Su, Huan 24 Grimshaw, Roger Hamilton James 24 Huang, Tingwen 24 Lu, Junan 24 Osinga, Hinke Maria 23 Gonchenko, Sergey V. 23 Krauskopf, Bernd 23 Kurakin, Leonid Gennadievich 23 Wang, Jiang 23 Wu, Zhaoyan 22 Afraimovich, Valentin S. 22 Campos-Cantón, Eric 22 Carroll, Thomas L. 22 Danca, Marius-Florin 22 de la Llave, Rafael 22 Lakshmanan, Muthusamy 22 Ott, Edward 22 Porter, Mason Alexander 22 Wu, Xiaoqun 22 Yang, Xinsong 21 Akgül, Ali 21 Bao, Bocheng 21 Holden, Arun V. 21 Kuznetsov, Nikolay Vladimirovich 21 Su, Weiyi 21 Vaienti, Sandro 21 Yang, Qigui 20 Brunton, Steven L. 20 Bunimovich, Leonid Abramovich 20 Cai, Shuiming 20 Kühn, Christian 20 Laing, Carlo R. 20 Ma, Zhongjun ...and 19,259 more Authors all top 5 Cited in 666 Journals 2,055 Chaos 1,028 Chaos, Solitons and Fractals 892 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 657 Physica D 523 Nonlinear Dynamics 504 Communications in Nonlinear Science and Numerical Simulation 419 Physica A 321 Applied Mathematics and Computation 226 Journal of Fluid Mechanics 225 Advances in Difference Equations 198 Journal of Statistical Physics 184 SIAM Journal on Applied Dynamical Systems 155 Journal of Theoretical Biology 154 Journal of the Franklin Institute 143 Fractals 139 Mathematical Problems in Engineering 135 Physics Letters. A 128 Journal of Mathematical Physics 127 Journal of Nonlinear Science 114 Regular and Chaotic Dynamics 106 Physics of Fluids 106 Complexity 97 Discrete Dynamics in Nature and Society 96 Journal of Mathematical Analysis and Applications 96 Journal of Differential Equations 95 Applied Mathematical Modelling 88 Computers & Mathematics with Applications 87 Bulletin of Mathematical Biology 86 Journal of Computational Physics 85 Mathematics and Computers in Simulation 82 Journal of Computational and Applied Mathematics 82 Abstract and Applied Analysis 82 Journal of Statistical Mechanics: Theory and Experiment 79 Discrete and Continuous Dynamical Systems. Series B 78 Nonlinearity 77 Journal of Mathematical Biology 76 Automatica 74 Communications in Mathematical Physics 71 Mathematical Biosciences 71 Celestial Mechanics and Dynamical Astronomy 70 Nonlinear Analysis. Real World Applications 69 International Journal of Modern Physics B 66 Applied Mathematics Letters 61 Neural Networks 61 Discrete and Continuous Dynamical Systems 59 Dynamical Systems 59 Mathematical Biosciences and Engineering 55 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 52 Nonlinear Analysis. Hybrid Systems 52 Advances in Mathematical Physics 49 Biological Cybernetics 48 Wave Motion 46 Neural Computation 45 International Journal of Applied and Computational Mathematics 44 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 43 Physics Reports 43 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 42 Computational and Applied Mathematics 42 Discrete and Continuous Dynamical Systems. Series S 39 Ergodic Theory and Dynamical Systems 38 International Journal of Theoretical Physics 38 AIMS Mathematics 35 International Journal of Control 35 Fractional Calculus & Applied Analysis 35 Mathematical Modelling of Natural Phenomena 34 New Journal of Physics 33 Modern Physics Letters B 33 Applied Numerical Mathematics 32 International Journal of Computer Mathematics 31 Mathematical Methods in the Applied Sciences 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 SIAM Journal on Applied Mathematics 31 Qualitative Theory of Dynamical Systems 30 Journal of Dynamics and Differential Equations 30 Journal of Physics A: Mathematical and Theoretical 30 International Journal of Biomathematics 29 International Journal of Modern Physics C 29 Entropy 28 Journal of Computational Neuroscience 26 Computer Methods in Applied Mechanics and Engineering 26 Theoretical and Mathematical Physics 26 Journal of Scientific Computing 26 Journal of Applied Mathematics 24 Theoretical Computer Science 24 Journal of Applied Mathematics and Computing 23 Stochastic Processes and their Applications 23 The Journal of Mathematical Neuroscience 23 International Journal of Systems Science. Principles and Applications of Systems and Integration 22 Information Sciences 22 Journal of Mathematical Sciences (New York) 22 Journal of Vibration and Control 22 Nonlinear Analysis. Modelling and Control 22 Journal of Computational Dynamics 21 Applicable Analysis 21 Systems & Control Letters 21 European Journal of Applied Mathematics 21 International Journal of Robust and Nonlinear Control 20 Circuits, Systems, and Signal Processing 20 SIAM Journal on Scientific Computing 20 Journal of Mathematical Chemistry ...and 566 more Journals all top 5 Cited in 61 Fields 4,953 Dynamical systems and ergodic theory (37-XX) 4,246 Ordinary differential equations (34-XX) 3,019 Biology and other natural sciences (92-XX) 2,242 Partial differential equations (35-XX) 2,007 Systems theory; control (93-XX) 1,127 Fluid mechanics (76-XX) 1,126 Numerical analysis (65-XX) 1,068 Statistical mechanics, structure of matter (82-XX) 837 Mechanics of particles and systems (70-XX) 758 Probability theory and stochastic processes (60-XX) 726 Information and communication theory, circuits (94-XX) 701 Real functions (26-XX) 518 Computer science (68-XX) 490 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 445 Combinatorics (05-XX) 398 Quantum theory (81-XX) 366 Statistics (62-XX) 317 Operations research, mathematical programming (90-XX) 250 Difference and functional equations (39-XX) 241 Mechanics of deformable solids (74-XX) 235 Optics, electromagnetic theory (78-XX) 228 Measure and integration (28-XX) 199 Operator theory (47-XX) 185 Geophysics (86-XX) 132 Calculus of variations and optimal control; optimization (49-XX) 127 Classical thermodynamics, heat transfer (80-XX) 116 Integral equations (45-XX) 103 Special functions (33-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 57 Global analysis, analysis on manifolds (58-XX) 53 Differential geometry (53-XX) 49 Integral transforms, operational calculus (44-XX) 40 Number theory (11-XX) 40 Astronomy and astrophysics (85-XX) 39 General topology (54-XX) 36 Approximations and expansions (41-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 30 General and overarching topics; collections (00-XX) 30 Functional analysis (46-XX) 26 Functions of a complex variable (30-XX) 26 Relativity and gravitational theory (83-XX) 22 Algebraic topology (55-XX) 21 History and biography (01-XX) 21 Mathematical logic and foundations (03-XX) 17 Manifolds and cell complexes (57-XX) 15 Convex and discrete geometry (52-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 10 Group theory and generalizations (20-XX) 9 Algebraic geometry (14-XX) 6 Commutative algebra (13-XX) 6 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 4 Geometry (51-XX) 3 Abstract harmonic analysis (43-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Mathematics education (97-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) Citations by Year