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 Tél, Tamás 11 Timme, Marc 11 Tresser, Charles 11 Urías, Jesús 10 Afraimovich, Valentin S. 10 Banerjee, Tanmoy 10 Deng, Bin 10 Glass, Leon 10 Kantz, Holger 10 Lakshmanan, Muthusamy 10 Mezić, Igor 10 Parlitz, Ulrich 10 Pecora, Louis M. 10 Porfiri, Maurizio 10 Prasad, Awadhesh 10 Romance, Miguel 10 Yanchuk, Sergiĭ Volodymyrovych 9 Ashwin, Peter 9 Dettmann, Carl P. 9 Dudkowski, Dawid 9 Fortuna, Luigi 9 Frasca, Mattia 9 Fu, Xinchu 9 Grimshaw, Roger Hamilton James 9 Kofané, Timoléon Crépin 9 Li, Yuxia 9 Liao, Xiaofeng 9 Naimzada, Ahmad K. 9 Nakao, Hiroya 9 Nijmeijer, Henk 9 Porter, Mason Alexander 9 Schwartz, Ira Bruce 9 Shang, Pengjian 9 Sprott, Julien Clinton 9 Strogatz, Steven Henry 9 Viana, Ricardo Luiz 9 Yuan, Fang 9 Yudovich, Viktor Iosifovich 9 Zakharova, Anna 9 Zhan, Meng 8 Aguirre, Luis Antonio 8 Amigó, José María 8 Belykh, Igor V. 8 Blakely, Jonathan N. 8 Buldú, Javier M. 8 Criado, Regino 8 Donner, Reik V. 8 Eleonskij, V. M. 8 Gaspard, Pierre 8 Gauthier, Daniel J. 8 Leonel, Edson Denis 8 Li, Changpin ...and 6,130 more Authors 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 3,083 Publications have been cited 26,751 times in 16,701 Documents Cited by ▼ Year ▼ Fractional kinetic equations: Solutions and applications. Zbl 0933.37029 Saichev, Alexander I.; Zaslavsky, George M. 279 1997 Low dimensional behavior of large systems of globally coupled oscillators. Zbl 1309.34058 Ott, Edward; Antonsen, Thomas M. 205 2008 Fundamentals of synchronization in chaotic systems, concepts, and applications. Zbl 0933.37030 Pecora, Louis M.; Carroll, Thomas L.; Johnson, Gregg A.; Mar, Douglas J.; Heagy, James F. 178 1997 From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022 Sokolov, I. M.; Klafter, J. 169 2005 Applied koopmanism. Zbl 1319.37013 Budišić, Marko; Mohr, Ryan; Mezić, Igor 149 2012 Practical implementation of nonlinear time series methods: The TISEAN package. Zbl 0990.37522 Hegger, Rainer; Kantz, Holger; Schreiber, Thomas 146 1999 Adaptive synchronization of neural networks with or without time-varying delay. Zbl 1144.37331 Cao, Jinde; Lu, Jianquan 136 2006 Pinning synchronization of delayed dynamical networks via periodically intermittent control. Zbl 1311.93061 Xia, Weiguo; Cao, Jinde 127 2009 A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator. Zbl 1420.92039 Baleanu, D.; Jajarmi, A.; Sajjadi, S. S.; Mozyrska, D. 119 2019 Long time evolution of phase oscillator systems. Zbl 1309.34059 Ott, Edward; Antonsen, Thomas M. 118 2009 Fractional differentiability of nowhere differentiable functions and dimensions. Zbl 1055.26504 Kolwankar, Kiran M.; Gangal, Anil D. 116 1996 Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. Zbl 1069.92503 Fenton, Flavio; Karma, Alain 104 1998 Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Zbl 0987.70010 Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 99 2000 Fractals and quantum mechanics. Zbl 1071.81513 Laskin, Nick 90 2000 Finding finite-time invariant manifolds in two-dimensional velocity fields. Zbl 0979.37012 Haller, G. 89 2000 New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028 Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang 84 2019 Overview of coupled map lattices. Zbl 1055.37540 Kaneko, Kunihiko 82 1992 Spatial dynamics in a predator-prey model with herd behavior. Zbl 1323.92197 Yuan, Sanling; Xu, Chaoqun; Zhang, Tonghua 82 2013 Generalized outer synchronization between complex dynamical networks. Zbl 1311.34119 Wu, Xiaoqun; Zheng, Wei Xing; Zhou, Jin 81 2009 On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329 Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo 79 2016 The size of the sync basin. Zbl 1144.37417 Wiley, Daniel A.; Strogatz, Steven H.; Girvan, Michelle 78 2006 A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence. Zbl 1423.92093 Jajarmi, Amin; Ghanbari, Behzad; Baleanu, Dumitru 75 2019 Classical solutions and pattern formation for a volume filling chemotaxis model. Zbl 1163.37383 Wang, Zhian; Hillen, Thomas 73 2007 Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media. Zbl 1031.76502 Winfree, Arthur T. 71 1992 Anticontrol of chaos in continuous-time systems via time-delay feedback. Zbl 0967.93045 Wang, Xiao Fan; Chen, Guanrong; Yu, Xinghuo 70 2000 On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016 Owolabi, Kolade M.; Atangana, Abdon 70 2019 Dynamic analysis of the fractional-order Liu system and its synchronization. Zbl 1163.37382 Wang, Xing-Yuan; Wang, Ming-Jun 69 2007 The impact of awareness on epidemic spreading in networks. Zbl 1331.92154 Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian 69 2012 Transport in time-dependent dynamical systems: finite-time coherent sets. Zbl 1311.37008 Froyland, Gary; Santitissadeekorn, Naratip; Monahan, Adam 68 2010 Homoclinic snaking: Structure and stability. Zbl 1163.37317 Burke, John; Knobloch, Edgar 66 2007 Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325 Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru 66 2019 Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Zbl 1144.37378 Lu, Jianquan; Cao, Jinde 65 2005 Fractional dynamics of coupled oscillators with long-range interaction. Zbl 1152.37345 Tarasov, Vasily E.; Zaslavsky, George M. 65 2006 Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data. Zbl 1390.37138 Pathak, Jaideep; Lu, Zhixin; Hunt, Brian R.; Girvan, Michelle; Ott, Edward 64 2017 A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312 Chen, Wen 62 2006 Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action. Zbl 1311.34082 Marvel, Seth A.; Mirollo, Renato E.; Strogatz, Steven H. 62 2009 A new method to realize cluster synchronization in connected chaotic networks. Zbl 1146.37330 Ma, Zhongjun; Liu, Zengrong; Zhang, Gang 61 2006 Cluster synchronization in networks of coupled nonidentical dynamical systems. Zbl 1311.34117 Lu, Wenlian; Liu, Bo; Chen, Tianping 61 2010 Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001 Pikovsky, Arkady; Rosenblum, Michael 59 2015 Pinning control of fractional-order weighted complex networks. Zbl 1311.34018 Tang, Yang; Wang, Zidong; Fang, Jian-an 59 2009 Compound synchronization of four memristor chaotic oscillator systems and secure communication. Zbl 1319.34093 Sun, Junwei; Shen, Yi; Yin, Quan; Xu, Chengjie 58 2013 Multistationarity, the basis of cell differentiation and memory. II: Logical analysis of regulatory networks in terms of feedback circuits. Zbl 0997.92012 Thomas, R.; Kaufman, M. 57 2001 Combination synchronization of three classic chaotic systems using active backstepping design. Zbl 1317.93114 Runzi, Luo; Yinglan, Wang; Shucheng, Deng 57 2011 Multistationarity, the basis of cell differentiation and memory. I: Structural conditions of multistationarity and other nontrivial behavior. Zbl 0997.92011 Thomas, R.; Kaufman, M. 55 2001 Regularities unseen, randomness observed: levels of entropy convergence. Zbl 1080.94006 Crutchfield, James P.; Feldman, David P. 55 2003 Persistent clusters in lattices of coupled nonidentical chaotic systems. Zbl 1080.37525 Belykh, I.; Belykh, V.; Nevidin, K.; Hasler, M. 55 2003 Cluster synchronization in community networks with nonidentical nodes. Zbl 1309.34107 Wang, Kaihua; Fu, Xinchu; Li, Kezan 55 2009 Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Zbl 0933.37024 Zaslavsky, G. M.; Edelman, M.; Niyazov, B. A. 54 1997 The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples. Zbl 0933.37020 Pesin, Yakov; Weiss, Howard 54 1997 Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos. Zbl 1163.37336 Innocenti, Giacomo; Morelli, Alice; Genesio, Roberto; Torcini, Alessandro 54 2007 A unifying definition of synchronization for dynamical systems. Zbl 0973.34041 Brown, Reggie; Kocarev, Ljupčo 54 2000 Synchronization of chaotic systems with delay using intermittent linear state feedback. Zbl 1309.34096 Huang, Tingwen; Li, Chuandong; Liu, Xinzhi 54 2008 Outer synchronization of coupled discrete-time networks. Zbl 1311.34115 Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen 54 2009 Exponential stabilization of chaotic systems with delay by periodically intermittent control. Zbl 1159.93353 Li, Chuandong; Liao, Xiaofeng; Huang, Tingwen 53 2007 A chaotic circuit based on Hewlett-Packard memristor. Zbl 1331.34074 Buscarino, Arturo; Fortuna, Luigi; Frasca, Mattia; Valentina Gambuzza, Lucia 53 2012 New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565 Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru 53 2018 On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity. Zbl 0933.37002 Barreira, Luis; Pesin, Yakov; Schmeling, Jörg 51 1997 Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Zbl 1055.37578 Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V. 51 1996 Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel. Zbl 1404.92211 Yusuf, Abdullahi; Qureshi, Sania; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali 51 2018 Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo. Zbl 1390.34159 Wei, Zhouchao; Moroz, Irene; Sprott, J. C.; Akgul, Akif; Zhang, Wei 50 2017 The Fermi-Pasta-Ulam problem: fifty years of progress. Zbl 1080.37077 Berman, G. P.; Izrailev, F. M. 50 2005 Periodicity, chaos, and multiple attractors in a memristor-based Shinriki’s circuit. Zbl 1374.94910 Kengne, J.; Njitacke Tabekoueng, Z.; Kamdoum Tamba, V.; Nguomkam Negou, A. 50 2015 Extended dynamic mode decomposition with dictionary learning: a data-driven adaptive spectral decomposition of the Koopman operator. Zbl 06876982 Li, Qianxiao; Dietrich, Felix; Bollt, Erik M.; Kevrekidis, Ioannis G. 49 2017 Synchronization of chaotic systems. Zbl 1374.34002 Pecora, Louis M.; Carroll, Thomas L. 49 2015 Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India. Zbl 1445.92152 Khajanchi, Subhas; Sarkar, Kankan 49 2020 Synchronization of complex dynamical networks via impulsive control. Zbl 1163.37389 Zhang, Gang; Liu, Zengrong; Ma, Zhongjun 48 2007 A method for visualization of invariant sets of dynamical systems based on the ergodic partition. Zbl 0987.37080 Mezić, Igor; Wiggins, Stephen 48 1999 Characterizing strange nonchaotic attractors. Zbl 1055.37519 Pikovsky, Arkady S.; Feudel, Ulrike 47 1995 Synchronization of complex networks through local adaptive coupling. Zbl 1309.34090 De Lellis, Pietro; di Bernardo, Mario; Garofalo, Franco 47 2008 New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives. Zbl 1406.92328 Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet 47 2019 The stability of stationary rotation of a regular vortex polygon. Zbl 1080.76520 Kurakin, L. G.; Yudovich, V. I. 46 2002 Resolution of a shock in hyperbolic systems modified by weak dispersion. Zbl 1144.37341 El, G. A. 45 2005 Computing Lagrangian coherent structures from their variational theory. Zbl 1331.37128 Farazmand, Mohammad; Haller, George 45 2012 Spectral properties of Chimera states. Zbl 1345.34067 Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L. 45 2011 Extreme multistability: attractor manipulation and robustness. Zbl 1374.34219 Hens, Chittaranjan; Dana, Syamal K.; Feudel, Ulrike 43 2015 Chimera states in heterogeneous networks. Zbl 1311.34080 Laing, Carlo R. 43 2009 Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals. Zbl 1409.26003 Abdeljawad, Thabet 43 2019 The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge. Zbl 1420.92122 Wang, Jing; Cai, Yongli; Fu, Shengmao; Wang, Weiming 43 2019 Mushrooms and other billiards with divided phase space. Zbl 1080.37582 Bunimovich, Leonid A. 42 2001 Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation. Zbl 1146.37343 Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Maity, Somnath; Mohanan, Srijith; Banerjee, Soumitro 42 2006 Fully synchronous solutions and the synchronization phase transition for the finite-\(N\) Kuramoto model. Zbl 1319.34053 Bronski, Jared C.; DeVille, Lee; Jip Park, Moon 42 2012 Impulsive stabilization and synchronization of a class of chaotic delay systems. Zbl 1144.37371 Li, Chuandong; Liao, Xiaofeng; Yang, Xiaofan; Huang, Tingwen 41 2005 Striped pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes. Zbl 1374.92167 Siero, E.; Doelman, A.; Eppinga, M. B.; Rademacher, J. D. M.; Rietkerk, M.; Siteur, K. 41 2015 Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients. Zbl 1374.35381 Kedziora, D. J.; Ankiewicz, A.; Chowdury, A.; Akhmediev, N. 41 2015 Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Zbl 1306.34057 Krupa, Martin; Popović, Nikola; Kopell, Nancy; Rotstein, Horacio G. 41 2008 Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Zbl 1409.35225 Saad, K. M.; Khader, M. M.; Gómez-Aguilar, J. F.; Baleanu, Dumitru 41 2019 The influence of time delay in a chaotic cancer model. Zbl 1400.92265 Khajanchi, Subhas; Perc, Matjaž; Ghosh, Dibakar 41 2018 Impulsive synchronization of chaotic systems. Zbl 1080.37034 Li, Chuandong; Liao, Xiaofeng; Zhang, Xingyou 40 2005 Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method. Zbl 1080.65532 Kneisl, Kyle 40 2001 Mixed-mode bursting oscillations: dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster. Zbl 1375.92014 Desroches, Mathieu; Kaper, Tasso J.; Krupa, Martin 40 2013 Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives. Zbl 1409.34006 Akgül, Esra Karatas 40 2019 Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control. Zbl 1374.34209 Cai, Shuiming; Zhou, Peipei; Liu, Zengrong 39 2014 Stability diagram for the forced Kuramoto model. Zbl 1309.34088 Childs, Lauren M.; Strogatz, Steven H. 39 2008 Localized patterns in reaction-diffusion systems. Zbl 1163.37381 Vanag, Vladimir K.; Epstein, Irving R. 38 2007 Multistability and the control of complexity. Zbl 0933.37032 Feudel, Ulrike; Grebogi, Celso 38 1997 Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems. Zbl 1387.37045 Shirasaka, Sho; Kurebayashi, Wataru; Nakao, Hiroya 38 2017 The iteration-approximation decoupling in the reversible KAM theory. Zbl 1055.37576 Sevryuk, M. B. 38 1995 Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: basic theory and applications. Zbl 1378.34011 Doungmo Goufo, Emile Franc 38 2016 Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. Zbl 1311.92017 Hu, Cheng; Yu, Juan; Jiang, Haijun; Teng, Zhidong 38 2010 Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems – a symbolic-numeric computation approach. Zbl 1080.93008 Yan, Zhenya 37 2005 Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background. Zbl 1467.35273 Zhang, Hai-Qiang; Chen, Fa 19 2021 Dynamics of a fractional epidemiological model with disease infection in both the populations. Zbl 1460.92184 Baishya, Chandrali; Achar, Sindhu J.; Veeresha, P.; Prakasha, D. G. 14 2021 Mitigating long transient time in deterministic systems by resetting. Zbl 1466.37060 Ray, Arnob; Pal, Arnab; Ghosh, Dibakar; Dana, Syamal K.; Hens, Chittaranjan 11 2021 Simplicial SIRS epidemic models with nonlinear incidence rates. Zbl 1462.92054 Wang, Dong; Zhao, Yi; Luo, Jianfeng; Leng, Hui 9 2021 Fractional calculus with exponential memory. Zbl 1459.26010 Fu, Hui; Wu, Guo-Cheng; Yang, Guang; Huang, Lan-Lan 8 2021 Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365 Zhang, Guoqiang; Ling, Liming; Yan, Zhenya; Konotop, Vladimir V. 8 2021 On discrete Lorenz-like attractors. Zbl 1465.37047 Gonchenko, Sergey; Gonchenko, Alexander; Kazakov, Alexey; Samylina, Evgeniya 7 2021 The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. Zbl 1470.34085 Esteban, M.; Llibre, J.; Valls, C. 7 2021 Reduced-order models for coupled dynamical systems: data-driven methods and the Koopman operator. Zbl 1470.37108 Santos Gutiérrez, Manuel; Lucarini, Valerio; Chekroun, Mickaël D.; Ghil, Michael 7 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 7 2021 Enhanced logical chaotic resonance. Zbl 1458.94329 Yao, Yuangen; Ma, Jun; Gui, Rong; Cheng, Guanghui 6 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 6 2021 Shilnikov attractors in three-dimensional orientation-reversing maps. Zbl 1458.34090 Karatetskaia, Efrosiniia; Shykhmamedov, Aikan; Kazakov, Alexey 6 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 6 2021 On the interpretation of Dirac \(\boldsymbol{\delta}\) pulses in differential equations for phase oscillators. Zbl 1459.34091 Klinshov, Vladimir; Lücken, Leonhard; Feketa, Petro 6 2021 Noise-induced complex oscillatory dynamics in the Zeldovich-Semenov model of a continuous stirred tank reactor. Zbl 1458.80007 Ryashko, Lev 5 2021 Invasive dynamics for a predator-prey system with Allee effect in both populations and a special emphasis on predator mortality. Zbl 1459.92163 Rana, Sourav; Bhowmick, Amiya Ranjan; Sardar, Tridip 5 2021 Sliding homoclinic bifurcations in a Lorenz-type system: analytic proofs. Zbl 1473.37060 Belykh, Vladimir N.; Barabash, Nikita V.; Belykh, Igor V. 5 2021 Bistability in a tri-trophic food chain model: basin stability perspective. Zbl 1468.92062 Pattanayak, Debarghya; Mishra, Arindam; Dana, Syamal K.; Bairagi, Nandadulal 5 2021 Existence of an energy function for three-dimensional chaotic “Sink-source” cascades. Zbl 1476.37043 Barinova, M.; Grines, V.; Pochinka, O.; Yu, B. 5 2021 Data-driven inference of high-accuracy isostable-based dynamical models in response to external inputs. Zbl 1475.37096 Wilson, Dan 5 2021 Combinatorial invariant for Morse-Smale diffeomorphisms on surfaces with orientable heteroclinic. Zbl 1465.37028 Malyshev, D.; Morozov, A.; Pochinka, O. 4 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 4 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 1512.68265 Bollt, Erik 4 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 4 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 4 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 4 2021 Sufficiently dense Kuramoto networks are globally synchronizing. Zbl 1468.34046 Kassabov, Martin; Strogatz, Steven H.; Townsend, Alex 4 2021 The lower bound of the network connectivity guaranteeing in-phase synchronization. Zbl 1465.34052 Yoneda, Ryosuke; Tatsukawa, Tsuyoshi; Teramae, Jun-nosuke 4 2021 Eliminating synchronization of coupled neurons adaptively by using feedback coupling with heterogeneous delays. Zbl 1458.92019 Zhou, Shijie; Lin, Wei 3 2021 Consensus on simplicial complexes: results on stability and synchronization. Zbl 1461.93464 DeVille, Lee 3 2021 Enhancement of dynamical robustness in a mean-field coupled network through self-feedback delay. Zbl 1458.34092 Sharma, Amit; Rakshit, Biswambhar 3 2021 Topological characterization of toroidal chaos: a branched manifold for the Deng toroidal attractor. Zbl 1458.37052 Mangiarotti, Sylvain; Letellier, Christophe 3 2021 Estimating entropy rate from censored symbolic time series: a test for time-irreversibility. 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