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 Comments: Journal Documents Indexed: 3,688 Publications (since 1991) References Indexed: 3,667 Publications with 132,182 References. all top 5 Latest Issues 31, No. 7 (2021) 31, No. 6 (2021) 31, No. 5 (2021) 31, No. 4 (2021) 31, No. 3 (2021) 31, No. 2 (2021) 31, No. 1 (2021) 30, No. 12 (2020) 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 Lin, Wei 12 Sorrentino, Francesco 12 Wang, Xingyuan 11 Baptista, Murilo S. 11 Bunimovich, Leonid Abramovich 11 Li, Chuandong 11 Lu, Jinhu 11 Rosenblum, Michael G. 11 Tél, Tamás 11 Timme, Marc 11 Tresser, Charles 11 Urías, Jesús 10 Afraimovich, Valentin S. 10 Banerjee, Tanmoy 10 Deng, Bin 10 Glass, Leon 10 Kantz, Holger 10 Lakshmanan, Muthusamy 10 Mezić, Igor 10 Parlitz, Ulrich 10 Pecora, Louis M. 10 Porfiri, Maurizio 10 Prasad, Awadhesh 10 Romance, Miguel 10 Yanchuk, Sergiĭ Volodymyrovych 9 Ashwin, Peter 9 Dettmann, Carl P. 9 Dudkowski, Dawid 9 Fortuna, Luigi 9 Frasca, Mattia 9 Fu, Xinchu 9 Grimshaw, Roger Hamilton James 9 Kofané, Timoléon Crépin 9 Li, Yuxia 9 Liao, Xiaofeng 9 Naimzada, Ahmad K. 9 Nakao, Hiroya 9 Nijmeijer, Henk 9 Porter, Mason Alexander 9 Schwartz, Ira Bruce 9 Shang, Pengjian 9 Sprott, Julien Clinton 9 Strogatz, Steven Henry 9 Viana, Ricardo Luiz 9 Yuan, Fang 9 Yudovich, Viktor Iosifovich 9 Zhan, Meng 8 Aguirre, Luis Antonio 8 Amigó, José María 8 Belykh, Igor V. 8 Blakely, Jonathan N. 8 Buldú, Javier M. 8 Criado, Regino 8 Donner, Reik V. 8 Eleonskij, V. M. 8 Gaspard, Pierre 8 Gauthier, Daniel J. 8 Kiss, István Z. 8 Leonel, Edson Denis ...and 6,131 more Authors all top 5 Fields 1,775 Dynamical systems and ergodic theory (37-XX) 1,052 Ordinary differential equations (34-XX) 671 Biology and other natural sciences (92-XX) 285 Partial differential equations (35-XX) 271 Systems theory; control (93-XX) 217 Fluid mechanics (76-XX) 205 Statistical mechanics, structure of matter (82-XX) 182 Mechanics of particles and systems (70-XX) 165 Information and communication theory, circuits (94-XX) 142 Probability theory and stochastic processes (60-XX) 139 Combinatorics (05-XX) 130 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 112 Statistics (62-XX) 97 Quantum theory (81-XX) 81 Computer science (68-XX) 73 Numerical analysis (65-XX) 67 Optics, electromagnetic theory (78-XX) 54 Operations research, mathematical programming (90-XX) 47 Geophysics (86-XX) 45 Mechanics of deformable solids (74-XX) 38 Real functions (26-XX) 35 Measure and integration (28-XX) 34 Difference and functional equations (39-XX) 29 Classical thermodynamics, heat transfer (80-XX) 12 General and overarching topics; collections (00-XX) 10 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 History and biography (01-XX) 8 Differential geometry (53-XX) 8 Relativity and gravitational theory (83-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Astronomy and astrophysics (85-XX) 6 Operator theory (47-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Mathematical logic and foundations (03-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 3,025 Publications have been cited 25,525 times in 15,881 Documents Cited by ▼ Year ▼ Fractional kinetic equations: Solutions and applications. Zbl 0933.37029Saichev, Alexander I.; Zaslavsky, George M. 273 1997 Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058Ott, Edward; Antonsen, Thomas M. 199 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. 175 1997 From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022Sokolov, I. M.; Klafter, J. 161 2005 Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522Hegger, Rainer; Kantz, Holger; Schreiber, Thomas 145 1999 Applied koopmanism. Zbl 1319.37013Budišić, Marko; Mohr, Ryan; Mezić, Igor 138 2012 Adaptive synchronization of neural networks with or without time-varying delay. Zbl 1144.37331Cao, Jinde; Lu, Jianquan 133 2006 Pinning synchronization of delayed dynamical networks via periodically intermittent control. Zbl 1311.93061Xia, Weiguo; Cao, Jinde 125 2009 Long time evolution of phase oscillator systems. Zbl 1309.34059Ott, Edward; Antonsen, Thomas M. 114 2009 Fractional differentiability of nowhere differentiable functions and dimensions. Zbl 1055.26504Kolwankar, Kiran M.; Gangal, Anil D. 111 1996 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. 111 2019 Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Zbl 1069.92503Fenton, Flavio; Karma, Alain 103 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. 96 2000 Fractals and quantum mechanics. Zbl 1071.81513Laskin, Nick 91 2000 Finding finite-time invariant manifolds in two-dimensional velocity fields. Zbl 0979.37012Haller, G. 88 2000 Overview of coupled map lattices. Zbl 1055.37540Kaneko, Kunihiko 80 1992 Generalized outer synchronization between complex dynamical networks. Zbl 1311.34119Wu, Xiaoqun; Zheng, Wei Xing; Zhou, Jin 80 2009 Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua 78 2013 New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang 76 2019 On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo 73 2016 The size of the sync basin. Zbl 1144.37417Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle 73 2006 Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383Wang, Zhian; Hillen, Thomas 71 2007 Anticontrol of chaos in continuous-time systems via time-delay feedback. Zbl 0967.93045Wang, Xiao Fan; Chen, Guanrong; Yu, Xinghuo 70 2000 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 70 2019 Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media. Zbl 1031.76502Winfree, Arthur T. 68 1992 Dynamic analysis of the fractional-order Liu system and its synchronization. Zbl 1163.37382Wang, Xing-Yuan; Wang, Ming-Jun 68 2007 The impact of awareness on epidemic spreading in networks. Zbl 1331.92154Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian 67 2012 Transport in time-dependent dynamical systems: finite-time coherent sets. Zbl 1311.37008Froyland, Gary; Santitissadeekorn, Naratip; Monahan, Adam 66 2010 Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Zbl 1144.37378Lu, Jianquan; Cao, Jinde 65 2005 Homoclinic snaking: Structure and stability. Zbl 1163.37317Burke, John; Knobloch, Edgar 65 2007 Fractional dynamics of coupled oscillators with long-range interaction. Zbl 1152.37345Tarasov, Vasily E.; Zaslavsky, George M. 63 2006 On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016Owolabi, Kolade M.; Atangana, Abdon 62 2019 Cluster synchronization in networks of coupled nonidentical dynamical systems. Zbl 1311.34117Lu, Wenlian; Liu, Bo; Chen, Tianping 61 2010 A new method to realize cluster synchronization in connected chaotic networks. Zbl 1146.37330Ma, Zhongjun; Liu, Zengrong; Zhang, Gang 61 2006 Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Zbl 1311.34082Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H. 59 2009 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 58 2017 Pinning control of fractional-order weighted complex networks. Zbl 1311.34018Tang, Yang; Wang, Zidong; Fang, Jian-an 58 2009 Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru 58 2019 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. 57 2001 Compound synchronization of four memristor chaotic oscillator systems and secure communication. Zbl 1319.34093Sun, Junwei; Shen, Yi; Yin, Quan; Xu, Chengjie 56 2013 Regularities unseen, randomness observed: levels of entropy convergence. Zbl 1080.94006Crutchfield, James P.; Feldman, David P. 55 2003 Persistent clusters in lattices of coupled nonidentical chaotic systems. Zbl 1080.37525Belykh, I.; Belykh, V.; Nevidin, K.; Hasler, M. 55 2003 Multistationarity, the basis of cell differentiation and memory. I: Structural conditions of multistationarity and other nontrivial behavior. Zbl 0997.92011Thomas, R.; Kaufman, M. 55 2001 Cluster synchronization in community networks with nonidentical nodes. Zbl 1309.34107Wang, Kaihua; Fu, Xinchu; Li, Kezan 55 2009 A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312Chen, Wen 55 2006 Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001Pikovsky, Arkady; Rosenblum, Michael 54 2015 A unifying definition of synchronization for dynamical systems. Zbl 0973.34041Brown, Reggie; Kocarev, Ljupčo 54 2000 Outer synchronization of coupled discrete-time networks. Zbl 1311.34115Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen 54 2009 Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Zbl 0933.37024Zaslavsky, G. M.; Edelman, M.; Niyazov, B. A. 53 1997 Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos. Zbl 1163.37336Innocenti, Giacomo; Morelli, Alice; Genesio, Roberto; Torcini, Alessandro 53 2007 A chaotic circuit based on Hewlett-Packard memristor. Zbl 1331.34074Buscarino, Arturo; Fortuna, Luigi; Frasca, Mattia; Valentina Gambuzza, Lucia 52 2012 The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020Pesin, Yakov; Weiss, Howard 51 1997 Synchronization of chaotic systems with delay using intermittent linear state feedback. Zbl 1309.34096Huang, Tingwen; Li, Chuandong; Liu, Xinzhi 51 2008 Exponential stabilization of chaotic systems with delay by periodically intermittent control. Zbl 1159.93353Li, Chuandong; Liao, Xiaofeng; Huang, Tingwen 51 2007 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 51 2018 Combination synchronization of three classic chaotic systems using active backstepping design. Zbl 1317.93114Runzi, Luo; Yinglan, Wang; Shucheng, Deng 50 2011 Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V. 50 1996 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 49 2017 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. 49 2015 On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 49 1997 Synchronization of chaotic systems. Zbl 1374.34002Pecora, Louis M.; Carroll, Thomas L. 48 2015 A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Zbl 0987.37080Mezić, Igor; Wiggins, Stephen 48 1999 Synchronization of complex dynamical networks via impulsive control. Zbl 1163.37389Zhang, Gang; Liu, Zengrong; Ma, Zhongjun 48 2007 Synchronization of complex networks through local adaptive coupling. Zbl 1309.34090De Lellis, Pietro; di Bernardo, Mario; Garofalo, Franco 47 2008 The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520Kurakin, L. G.; Yudovich, V. I. 46 2002 New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru 46 2018 Computing Lagrangian coherent structures from their variational theory. Zbl 1331.37128Farazmand, Mohammad; Haller, George 45 2012 Characterizing strange nonchaotic attractors. Zbl 1055.37519Pikovsky, Arkady S.; Feudel, Ulrike 45 1995 Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152Khajanchi, Subhas; Sarkar, Kankan 45 2020 Spectral properties of Chimera states. Zbl 1345.34067Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L. 44 2011 Resolution of a shock in hyperbolic systems modified by weak dispersion. Zbl 1144.37341El, G. A. 44 2005 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. 43 2017 The Fermi-Pasta-Ulam problem: fifty years of progress. Zbl 1080.37077Berman, G. P.; Izrailev, F. M. 43 2005 Extreme multistability: attractor manipulation and robustness. Zbl 1374.34219Hens, Chittaranjan; Dana, Syamal K.; Feudel, Ulrike 41 2015 Chimera states in heterogeneous networks. Zbl 1311.34080Laing, Carlo R. 41 2009 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 41 2019 Fully synchronous solutions and the synchronization phase transition for the finite-\(N\) Kuramoto model. Zbl 1319.34053Bronski, Jared C.; DeVille, Lee; Jip Park, Moon 40 2012 Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method. Zbl 1080.65532Kneisl, Kyle 40 2001 Impulsive stabilization and synchronization of a class of chaotic delay systems. Zbl 1144.37371Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen 40 2005 Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation. Zbl 1146.37343Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Maity, Somnath; Mohanan, Srijith; Banerjee, Soumitro 40 2006 The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge. Zbl 1420.92122Wang, Jing; Cai, Yongli; Fu, Shengmao; Wang, Weiming 40 2019 Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G. 39 2008 Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients. Zbl 1374.35381Kedziora, D. J.; Ankiewicz, A.; Chowdury, A.; Akhmediev, N. 39 2015 Impulsive synchronization of chaotic systems. Zbl 1080.37034Li, Chuandong; Liao, Xiaofeng; Zhang, Xingyou 39 2005 Mushrooms and other billiards with divided phase space. Zbl 1080.37582Bunimovich, Leonid A. 39 2001 The influence of time delay in a chaotic cancer model. Zbl 1400.92265Khajanchi, Subhas; Perc, Matjaž; Ghosh, Dibakar 39 2018 Stability diagram for the forced Kuramoto model. Zbl 1309.34088Childs, Lauren M.; Strogatz, Steven H. 39 2008 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. 38 2015 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 38 2013 Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. Zbl 1311.92017Hu, Cheng; Yu, Juan; Jiang, Haijun; Teng, Zhidong 38 2010 Localized patterns in reaction-diffusion systems. Zbl 1163.37381Vanag, Vladimir K.; Epstein, Irving R. 38 2007 Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: basic theory and applications. Zbl 1378.34011Doungmo Goufo, Emile Franc 37 2016 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 37 2005 On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics. Zbl 1319.70024Mauroy, A.; Mezić, I. 36 2012 Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems. Zbl 1387.37045Shirasaka, Sho; Kurebayashi, Wataru; Nakao, Hiroya 36 2017 Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control. Zbl 1374.34209Cai, Shuiming; Zhou, Peipei; Liu, Zengrong 36 2014 A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data. Zbl 1374.37114Froyland, Gary; Padberg-Gehle, Kathrin 36 2015 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 36 2011 Weak chimeras in minimal networks of coupled phase oscillators. Zbl 1345.34052Ashwin, Peter; Burylko, Oleksandr 36 2015 Food chain chaos due to Shilnikov’s orbit. 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Zbl 1458.92033Dixit, Shiva; Nag Chowdhury, Sayantan; Prasad, Awadhesh; Ghosh, Dibakar; Shrimali, Manish Dev 5 2021 Noise-induced complex oscillatory dynamics in the Zeldovich-Semenov model of a continuous stirred tank reactor. Zbl 1458.80007Ryashko, Lev 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 Bistability in a tri-trophic food chain model: basin stability perspective. Zbl 1468.92062Pattanayak, Debarghya; Mishra, Arindam; Dana, Syamal K.; Bairagi, Nandadulal 5 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. 5 2021 Sliding homoclinic bifurcations in a Lorenz-type system: analytic proofs. Zbl 1473.37060Belykh, Vladimir N.; Barabash, Nikita V.; Belykh, Igor V. 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 1512.68265Bollt, Erik 4 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 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. 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Zbl 1459.34117Emelianova, Anastasiia A.; Nekorkin, Vladimir I. 3 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 3 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 3 2021 Combinatorial invariant for Morse-Smale diffeomorphisms on surfaces with orientable heteroclinic. Zbl 1465.37028Malyshev, D.; Morozov, A.; Pochinka, O. 3 2021 Revival of oscillation and symmetry breaking in coupled quantum oscillators. Zbl 1465.81015Bandyopadhyay, Biswabibek; Banerjee, Tanmoy 3 2021 Repulsive inter-layer coupling induces anti-phase synchronization. Zbl 1465.34065Shepelev, Igor A.; Muni, Sishu S.; Schöll, Eckehard; Strelkova, Galina I. 3 2021 Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks. Zbl 1460.34065Kumar, Anil; Jalan, Sarika 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 Quasi-objective coherent structure diagnostics from single trajectories. Zbl 1470.76094Haller, George; Aksamit, Nikolas; Encinas-Bartos, Alex P. 3 2021 Temporal-spatial analysis of an age-space structured foot-and-mouth disease model with Dirichlet boundary condition. Zbl 1462.92055Wang, Xiaoyan; Sun, Hongquan; Yang, Junyuan 3 2021 A SIRD epidemic model with community structure. Zbl 1458.92081Yang, Jin-Xuan 2 2021 Dynamics of the price-volume information flow based on surrogate time series. Zbl 1458.91167Nie, Chun-Xiao 2 2021 A generalized permutation entropy for noisy dynamics and random processes. Zbl 1458.62193Amigó, José M.; Dale, Roberto; Tempesta, Piergiulio 2 2021 Chaos in the peroxidase-oxidase oscillator. Zbl 1458.92029Olsen, Lars F.; Lunding, Anita 2 2021 Achieving criticality for reservoir computing using environment-induced explosive death. Zbl 1459.34120Mandal, Swarnendu; Shrimali, Manish Dev 2 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 2 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 2 2021 Collective steady-state patterns of swarmalators with finite-cutoff interaction distance. Zbl 1459.34119Lee, Hyun Keun; Yeo, Kangmo; Hong, Hyunsuk 2 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 Control of tipping points in stochastic mutualistic complex networks. Zbl 1458.92086Meng, Yu; Grebogi, Celso 2 2021 Consensus on simplicial complexes: results on stability and synchronization. Zbl 1461.93464DeVille, Lee 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 Existence of an energy function for three-dimensional chaotic “Sink-source” cascades. Zbl 1476.37043Barinova, M.; Grines, V.; Pochinka, O.; Yu, B. 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 Geometric invariance of determining and resonating centers: odd- and any-number limitations of Pyragas control. Zbl 1476.37035de Wolff, B.; Schneider, I. 2 2021 Transition pathways for a class of high dimensional stochastic dynamical systems with Lévy noise. Zbl 1481.37054Hu, Jianyu; Chen, Jianyu 2 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. 2 2021 Neuronal synchronization in long-range time-varying networks. Zbl 1468.92025Rakshit, Sarbendu; Majhi, Soumen; Kurths, Jürgen; Ghosh, Dibakar 2 2021 Synchronization scenarios in three-layer networks with a hub. Zbl 1468.92026Sawicki, Jakub; Koulen, Julia M.; Schöll, Eckehard 2 2021 Phase coalescence in a population of heterogeneous Kuramoto oscillators. Zbl 1460.34057Phogat, Richa; Ray, Arnob; Parmananda, P.; Ghosh, Dibakar 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 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 Transient response of the time-delay system excited by Gaussian noise based on complex fractional moments. Zbl 1470.37102Niu, Lizhi; Xu, Wei; Guo, Qin 2 2021 Averaging principle for a type of Caputo fractional stochastic differential equations. Zbl 1462.34012Guo, Zhongkai; Hu, Junhao; Yuan, Chenggui 2 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 Complex networks identification using Bayesian model with independent Laplace prior. 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Zbl 1465.34052Yoneda, Ryosuke; Tatsukawa, Tsuyoshi; Teramae, Jun-nosuke 1 2021 Oscillatory microcells connected on a ring by chemical waves. Zbl 1465.92041Safonov, Dmitry A.; Vanag, Vladimir K. 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 Degenerated Liouvillians and steady-state reduced density matrices. Zbl 1468.81064Thingna, Juzar; Manzano, Daniel 1 2021 Mesoscopic model reduction for the collective dynamics of sparse coupled oscillator networks. Zbl 1468.34048Smith, Lauren D.; Gottwald, Georg A. 1 2021 Noise induced suppression of spiral waves in a hybrid Fitzhugh-Nagumo neuron with discontinuous resetting. Zbl 1476.34109Rajagopal, Karthikeyan; Jafari, Sajad; Moroz, Irene; Karthikeyan, Anitha; Srinivasan, Ashokkumar 1 2021 ...and 1490 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 21,140 Authors 143 Cao, Jinde 118 Chen, Guanrong 115 Kurths, Jürgen 97 Băleanu, Dumitru I. 66 Wang, Xingyuan 61 Xu, Wei 54 Haller, George 52 Ha, Seung-Yeal 49 Jafari, Sajad 48 Jiang, Haijun 45 Ryashko, Lev Borisovich 45 Yan, Zhenya 44 Bashkirtseva, Irina Adol’fovna 44 Sanjuán, Miguel A. 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Principles and Applications of Systems and Integration 30 Journal of Applied Mathematics and Computing 29 Journal of Computational Neuroscience 29 International Journal of Modern Physics C 29 Entropy 28 Information Sciences 27 Journal of Scientific Computing 27 Journal of Applied Mathematics 26 Circuits, Systems, and Signal Processing 26 International Journal of Robust and Nonlinear Control 26 International Journal of Nonlinear Sciences and Numerical Simulation 24 Theoretical Computer Science 24 Systems & Control Letters 24 Stochastic Processes and their Applications 24 Nonlinear Analysis. Modelling and Control 23 European Journal of Applied Mathematics 23 SIAM Review 23 SIAM Journal on Scientific Computing 23 Journal of Mathematical Sciences (New York) 23 Asian Journal of Control ...and 596 more Journals all top 5 Cited in 61 Fields 5,330 Dynamical systems and ergodic theory (37-XX) 4,601 Ordinary differential equations (34-XX) 3,296 Biology and other natural sciences (92-XX) 2,584 Partial differential equations (35-XX) 2,200 Systems theory; control (93-XX) 1,257 Numerical analysis (65-XX) 1,239 Fluid mechanics (76-XX) 1,156 Statistical mechanics, structure of matter (82-XX) 910 Mechanics of particles and systems (70-XX) 864 Probability theory and stochastic processes (60-XX) 786 Information and communication theory, circuits (94-XX) 773 Real functions (26-XX) 588 Computer science (68-XX) 560 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 500 Combinatorics (05-XX) 460 Quantum theory (81-XX) 419 Statistics (62-XX) 343 Operations research, mathematical programming (90-XX) 292 Difference and functional equations (39-XX) 275 Optics, electromagnetic theory (78-XX) 274 Mechanics of deformable solids (74-XX) 257 Measure and integration (28-XX) 218 Operator theory (47-XX) 200 Geophysics (86-XX) 145 Calculus of variations and optimal control; optimization (49-XX) 135 Classical thermodynamics, heat transfer (80-XX) 120 Integral equations (45-XX) 113 Special functions (33-XX) 79 Linear and multilinear algebra; matrix theory (15-XX) 62 Global analysis, analysis on manifolds (58-XX) 56 Differential geometry (53-XX) 53 Integral transforms, operational calculus (44-XX) 45 Number theory (11-XX) 44 Approximations and expansions (41-XX) 41 General topology (54-XX) 40 Astronomy and astrophysics (85-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 36 Functional analysis (46-XX) 34 Relativity and gravitational theory (83-XX) 33 General and overarching topics; collections (00-XX) 33 Functions of a complex variable (30-XX) 29 Algebraic topology (55-XX) 23 History and biography (01-XX) 21 Mathematical logic and foundations (03-XX) 19 Convex and discrete geometry (52-XX) 19 Manifolds and cell complexes (57-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 13 Group theory and generalizations (20-XX) 12 Algebraic geometry (14-XX) 7 Commutative algebra (13-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Topological groups, Lie groups (22-XX) 5 Nonassociative rings and algebras (17-XX) 5 Category theory; homological algebra (18-XX) 5 Geometry (51-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 2 Mathematics education (97-XX) 1 Sequences, series, summability (40-XX) Citations by Year