Physica DNonlinear Phenomena Short Title: Physica D Publisher: Elsevier (North-Holland), Amsterdam ISSN: 0167-2789 Online: http://www.sciencedirect.com/science/journal/01672789 Comments: Journal Documents Indexed: 7,790 Publications (since 1980) References Indexed: 7,637 Publications with 236,565 References. all top 5 Latest Issues 471 (2025) 470, Part B (2024) 470, Part A (2024) 469 (2024) 468 (2024) 467 (2024) 466 (2024) 465 (2024) 464 (2024) 463 (2024) 462 (2024) 461 (2024) 460 (2024) 459 (2024) 458 (2024) 457 (2024) 456 (2023) 455 (2023) 454 (2023) 453 (2023) 452 (2023) 451 (2023) 450 (2023) 449 (2023) 448 (2023) 447 (2023) 446 (2023) 445 (2023) 444 (2023) 443 (2023) 442 (2022) 441 (2022) 440 (2022) 439 (2022) 438 (2022) 437 (2022) 436 (2022) 435 (2022) 434 (2022) 433 (2022) 432 (2022) 431 (2022) 430 (2022) 429 (2022) 428 (2021) 427 (2021) 426 (2021) 425 (2021) 424 (2021) 423 (2021) 422 (2021) 421 (2021) 420 (2021) 419 (2021) 418 (2021) 417 (2021) 416 (2021) 415 (2021) 414 (2020) 413 (2020) 412 (2020) 411 (2020) 410 (2020) 409 (2020) 408 (2020) 407 (2020) 406 (2020) 405 (2020) 404 (2020) 403 (2020) 402 (2020) 401 (2020) 400 (2019) 399 (2019) 398 (2019) 396 (2019) 395 (2019) 394 (2019) 393 (2019) 392 (2019) 391 (2019) 390 (2019) 389 (2019) 388 (2019) 386-387 (2019) 384-385 (2018) 382-383 (2018) 380-381 (2018) 378-379 (2018) 376-377 (2018) 374-375 (2018) 373 (2018) 372 (2018) 371 (2018) 370 (2018) 368 (2018) 367 (2018) 366 (2018) 365 (2018) 364 (2018) ...and 654 more Volumes all top 5 Authors 62 Malomed, Boris A. 46 Kevrekidis, Panayotis G. 37 Knobloch, Edgar 34 Ott, Edward 32 Nepomnyashchy, Alexander A. 32 Newell, Alan C. 31 MacKay, Robert Sinclair 30 Kaneko, Kunihiko 28 Holm, Darryl Dallas 28 Meiss, James D. 28 Wiggins, Stephen R. 27 Yorke, James Alan 24 Holmes, Philip J. 24 Pikovsky, Arkady S. 24 Zakharov, Vladimir Evgen’evich 22 Pelinovsky, Dmitry Efimovich 21 Ashwin, Peter 21 Jones, Christopher K. R. T. 19 Champneys, Alan R. 19 Judd, Kevin 19 Kevrekidis, Ioannis George 19 Kramer, Lorenz 19 Majda, Andrew Joseph 18 Gibbon, John D. 18 Grimshaw, Roger Hamilton James 18 Haller, George 18 Kurths, Jürgen 18 Marsden, Jerrold Eldon 18 Wei, Juncheng 17 Bollt, Erik M. 17 Bressloff, Paul C. 17 Duan, Jinqiao 17 Grebogi, Celso 17 Nazarenko, Sergeĭ Vital’evich 17 Smyth, Noel Frederick 17 Yan, Zhenya 16 Aubry, Serge J. 16 Doering, Charles Rogers 16 Dullin, Holger R. 16 Ghil, Michael 16 Mezić, Igor 16 Riecke, Hermann 16 Swinney, Harry L. 16 Vivaldi, Franco 15 Ablowitz, Mark Jay 15 Chaté, Hugues 15 Fibich, Gadi 15 Flach, Sergej 15 Haken, Hermann 15 Miller, Peter D. 15 Percival, Ian C. 15 Simó, Carles 14 Christiansen, Peter Leth 14 Ercolani, Nicholas M. 14 Kaup, David J. 14 Llibre, Jaume 14 McLaughlin, David W. 14 Minzoni, Antonmaria Alessio 14 Titi, Edriss Saleh 14 Zumbrun, Kevin R. 13 Bridges, Thomas J. 13 Cuevas Maraver, Jesús 13 Eilbeck, John Chris 13 Feng, Baofeng 13 Golubitsky, Martin A. 13 Gunji, Yukio-Pegio 13 Inaba, Naohiko 13 Moloney, Jerome V. 13 Pomeau, Yves 13 Sakaguchi, Hidetsugu 13 Sandstede, Björn 13 Silber, Mary 13 Temam, Roger Meyer 13 Tyson, John J. 13 Vulpiani, Angelo 12 Beck, Christian 12 Brachet, Marc-Etienne 12 Camassa, Roberto 12 Doelman, Arjen 12 Keener, James P. 12 Lichtenberg, Allan J. 12 Small, Michael 12 Tabor, Michael 12 Thiffeault, Jean-Luc 11 Aihara, Kazuyuki 11 Aurich, Ralf 11 Constantin, Peter 11 Foiaș, Ciprian 11 Forest, Mark Gregory 11 Kolokolnikov, Theodore 11 Moroz, Irene M. 11 Mosekilde, Erik 11 Rica, Sergio 11 Sherratt, Jonathan A. 11 Sulem, Pierre-Louis 11 Wattis, Jonathan A. D. 11 Wyller, John A. 10 Aranson, Igor S. 10 Bayliss, Alvin 10 Bishop, Alan Reginald ...and 10,201 more Authors all top 5 Fields 3,009 Dynamical systems and ergodic theory (37-XX) 2,415 Partial differential equations (35-XX) 1,822 Fluid mechanics (76-XX) 977 Ordinary differential equations (34-XX) 895 Statistical mechanics, structure of matter (82-XX) 888 Biology and other natural sciences (92-XX) 560 Mechanics of particles and systems (70-XX) 430 Numerical analysis (65-XX) 428 Quantum theory (81-XX) 382 Optics, electromagnetic theory (78-XX) 327 Computer science (68-XX) 275 Probability theory and stochastic processes (60-XX) 256 Mechanics of deformable solids (74-XX) 249 Systems theory; control (93-XX) 229 Classical thermodynamics, heat transfer (80-XX) 209 Geophysics (86-XX) 172 Statistics (62-XX) 159 Information and communication theory, circuits (94-XX) 154 Global analysis, analysis on manifolds (58-XX) 99 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 98 Difference and functional equations (39-XX) 70 Operations research, mathematical programming (90-XX) 61 Real functions (26-XX) 58 Integral equations (45-XX) 57 Combinatorics (05-XX) 54 Astronomy and astrophysics (85-XX) 51 Differential geometry (53-XX) 47 General and overarching topics; collections (00-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 45 Measure and integration (28-XX) 39 Operator theory (47-XX) 36 Relativity and gravitational theory (83-XX) 32 Special functions (33-XX) 27 Nonassociative rings and algebras (17-XX) 25 Algebraic geometry (14-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 22 Number theory (11-XX) 22 Functions of a complex variable (30-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 21 General topology (54-XX) 20 Approximations and expansions (41-XX) 17 Manifolds and cell complexes (57-XX) 13 Topological groups, Lie groups (22-XX) 11 History and biography (01-XX) 11 Algebraic topology (55-XX) 10 Convex and discrete geometry (52-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 6 Field theory and polynomials (12-XX) 6 Functional analysis (46-XX) 5 Mathematical logic and foundations (03-XX) 5 Integral transforms, operational calculus (44-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 Group theory and generalizations (20-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 1 General algebraic systems (08-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 6,580 Publications have been cited 96,213 times in 57,786 Documents Cited by ▼ Year ▼ Nonlinear total variation based noise removal algorithms. Zbl 0780.49028 Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad 2,283 1992 Determining Lyapunov exponents from a time series. Zbl 0585.58037 Wolf, Alan; Swift, Jack B.; Swinney, Harry L.; Vastano, John A. 1,600 1985 Symplectic structures, their Bäcklund transformations and hereditary symmetries. Zbl 1194.37114 Fuchssteiner, B.; Fokas, A. S. 1,092 1981 Measuring the strangeness of strange attractors. Zbl 0593.58024 Grassberger, Peter; Procaccia, Itamar 620 1983 From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022 Strogatz, Steven H. 450 2000 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166 Jimbo, Michio; Miwa, Tetsuji 354 1981 A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Zbl 1092.76069 Liu, Chun; Shen, Jie 347 2003 Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121 Gurtin, Morton E. 319 1996 On a class of physically important integrable equations. Zbl 1194.35363 Fokas, A. S. 315 1995 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function. Zbl 1194.34167 Jimbo, Michio; Miwa, Tetsuji; Ueno, Kimio 304 1981 Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345 Fuchssteiner, Benno 299 1996 A practical method for calculating largest Lyapunov exponents from small data sets. Zbl 0779.58030 Rosenstein, Michael T.; Collins, James J.; De Luca, Carlo J. 281 1993 Testing for nonlinearity in time series: the method of surrogate data. Zbl 1194.37144 Theiler, James; Eubank, Stephen; Longtin, André; Galdrikian, Bryan; Farmer, J. Doyne 257 1992 Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001 Gopalsamy, K.; He, Xue-zhong 255 1994 Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511 Wei, Junjie; Ruan, Shigui 235 1999 The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026 Hentschel, H. G. E.; Procaccia, Itamar 230 1983 The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. Zbl 1237.37059 Aubry, S.; Le Daeron, P. Y. 229 1983 Extracting qualitative dynamics from experimental data. Zbl 0603.58040 Broomhead, D. S.; King, Gregory P. 224 1986 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487 Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 219 2005 Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031 Nusse, Helena E.; Yorke, James A. 219 1992 Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022 Wang, Bixiang 214 1999 Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554 Schäfer, T.; Wayne, C. E. 214 2004 Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052 Farmer, J. Doyne 213 1982 Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059 Aubry, Serge 211 1997 Hidden attractor in smooth Chua systems. Zbl 1277.34052 Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I. 207 2012 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022 Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 194 2001 New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031 Lu, Wenlian; Chen, Tianping 194 2006 The reduction problem and the inverse scattering method. Zbl 1194.37113 Mikhailov, Alexander V. 193 1981 Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001 Penrose, Oliver; Fife, Paul C. 189 1990 An overview of Rayleigh-Taylor instability. Zbl 0577.76047 Sharp, D. H. 187 1984 Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072 Lamb, Jeroen S. W.; Roberts, John A. G. 186 1998 Constants of motion for superconducting Josephson arrays. Zbl 0812.34043 Watanabe, Shinya; Strogatz, Steven H. 184 1994 Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013 Nicolaenko, B.; Scheurer, B.; Temam, R. 183 1985 Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011 Eyink, Gregory L. 179 1994 Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007 Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio 178 1980 Strange attractors that are not chaotic. Zbl 0588.58036 Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. 177 1984 Nonlinear prediction of chaotic time series. Zbl 0671.62099 Casdagli, Martin 174 1989 Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088 van Saarloos, Wim; Hohenberg, P. C. 172 1992 Fractal basin boundaries. Zbl 0588.58033 McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 169 1985 Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602 Rowley, Clarence W.; Colonius, Tim; Murray, Richard M. 168 2004 Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type. Zbl 0571.35100 Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 165 1982 Transport in Hamiltonian systems. Zbl 0585.58039 Mackay, R. S.; Meiss, J. D.; Percival, I. C. 165 1984 Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165 Karpman, V. I.; Shagalov, A. G. 164 2000 A simple global characterization for normal forms of singular vector fields. Zbl 0633.58020 Elphick, C.; Tirapegui, E.; Brachet, M. E.; Coullet, P.; Iooss, G. 164 1987 Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163 Zaslavsky, G. M. 164 1994 Integrable mappings and soliton equations. II. Zbl 0679.58024 Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J. 164 1989 Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622 Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin 161 2004 Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077 Haller, G. 161 2001 Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175 Kobayashi, Ryo 161 1993 Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057 159 2000 Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010 Erneux, Thomas; Nicolis, Grégoire 159 1993 Modulation instability: The beginning. Zbl 1157.37337 Zakharov, V. E.; Ostrovsky, L. A. 157 2009 On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling. Zbl 1194.30028 Mandelbrot, Benoit B. 155 1983 Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520 Kaneko, Kunihiko 153 1990 Energy method for Boltzmann equation. Zbl 1098.82618 Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien 152 2004 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018 Tyson, John J.; Keener, James P. 151 1988 Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204 Hunter, John K.; Scheurle, Jürgen 146 1988 Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227 Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C. 141 1989 Amplitude response of coupled oscillators. Zbl 0703.34047 Aronson, D. G.; Ermentrout, G. B.; Kopell, N. 141 1990 The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033 Hyman, James M.; Nicolaenko, Basil 139 1986 Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model. Zbl 1238.34102 Choi, Young-Pil; Ha, Seung-Yeal; Jung, Sungeun; Kim, Yongduck 138 2012 Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043 Haller, G.; Yuan, G. 136 2000 Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079 Song, Yongli; Han, Maoan; Wei, Junjie 136 2005 Fourth-order symplectic integration. Zbl 0713.65044 Forest, Etienne; Ruth, Ronald D. 134 1990 New applications of variational iteration method. Zbl 1084.35539 Abdou, M. A.; Soliman, A. A. 133 2005 On asymptotically equivalent shallow water wave equations. Zbl 1050.76008 Dullin, H. R.; Gottwald, G. A.; Holm, D. D. 131 2004 Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310 Tavazoei, Mohammad Saleh; Haeri, Mohammad 131 2008 Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072 Sandstede, Björn; Scheel, Arnd 130 2000 Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement. Zbl 1321.92076 Peng, Rui; Yi, Fengqi 128 2013 Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Zbl 1103.34044 Forti, M.; Grazzini, M.; Nistri, P.; Pancioni, L. 128 2006 Controlling chaotic dynamical systems. Zbl 1194.37140 Romeiras, Filipe J.; Grebogi, Celso; Ott, Edward; Dayawansa, W. P. 127 1992 Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108 Gopalsamy, K.; Leung, I. 125 1996 Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026 Painter, Kevin J.; Hillen, Thomas 125 2011 Pattern dynamics in spatiotemporal chaos. Pattern selection, diffusion of defect and pattern competition intermittency. Zbl 0702.58043 Kaneko, Kunihiko 124 1989 The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025 Weiss, John 122 1991 The discrete self-trapping equation. Zbl 0583.34026 Eilbeck, J. C.; Lomdahl, P. S.; Scott, A. C. 120 1985 Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. Zbl 1098.76603 Chen, Gui-Qiang; Liu, Hailiang 119 2004 Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates. Zbl 1098.82602 Chang, Shu-Ming; Lin, Chang-Shou; Lin, Tai-Chia; Lin, Wen-Wei 119 2004 Attractors of non-autonomous stochastic lattice systems in weighted spaces. Zbl 1364.34113 Bates, Peter W.; Lu, Kening; Wang, Bixiang 119 2014 The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020 Iron, David; Ward, Michael J.; Wei, Juncheng 118 2001 Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069 Olien, Leonard; Bélair, Jacques 118 1997 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463 Marsden, Jerrold E.; Weinstein, Alan 117 1982 Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385 Cao, Liangyue 117 1997 An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060 Xu, Yong; Duan, Jinqiao; Xu, Wei 116 2011 Phase synchronization of chaotic oscillators by external driving. Zbl 0898.70015 Pikovsky, Arkady S.; Rosenblum, Michael G.; Osipov, Grigory V.; Kurths, Jürgen 115 1997 Thermodynamically-consistent phase-field models for solidification. Zbl 0791.35159 Wang, S.-L.; Sekerka, R. F.; Wheeler, A. A.; Murray, B. T.; Coriell, S. R.; Braun, R. J.; McFadden, G. B. 115 1993 On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387 Hunter, John K.; Zheng, Yuxi 113 1994 Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139 Constantin, Adrian; Molinet, Luc 112 2001 Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119 Doering, Charles R.; Gibbon, John D.; Levermore, C. David 111 1994 Integrable equations arising from motions of plane curves. Zbl 0987.35139 Chou, Kaiseng; Qu, Changzheng 109 2002 Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation. Zbl 0767.35082 Dyachenko, S.; Newell, A. C.; Pushkarev, A.; Zakharov, V. E. 108 1992 Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459 Lions, P. L. 107 1982 Dispersive shock waves and modulation theory. Zbl 1415.76001 El, G. A.; Hoefer, M. A. 107 2016 Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts. Zbl 0984.35030 Ebert, Ute; van Saarloos, Wim 106 2000 Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118 Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo 106 2004 A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028 d’Onofrio, Alberto 106 2005 Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017 Clarkson, Peter A.; Mansfield, Elizabeth L. 106 1994 Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081 Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning 105 2007 Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027 Armbruster, Dieter; Guckenheimer, John; Holmes, Philip 104 1988 Dynamically orthogonal field equations for continuous stochastic dynamical systems. Zbl 1180.37119 Sapsis, Themistoklis P.; Lermusiaux, Pierre F. J. 104 2009 Large and infinite-order solitons of the coupled nonlinear Schrödinger equation. Zbl 1533.35317 Ling, Liming; Zhang, Xiaoen 4 2024 Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent? Zbl 1533.68317 Zhou, Zijian; Yan, Zhenya 4 2024 Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay. Zbl 1536.92006 Hu, Xueyan; Wu, Yong; Ding, Qianming; Xie, Ying; Ye, Zhiqiu; Jia, Ya 4 2024 Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti-Leon-Pempinelli system. Zbl 1541.35433 Maltseva, Diana S.; Popovych, Roman O. 4 2024 Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system. Zbl 1542.35353 Ding, Cui-Cui; Zhu, Lin-Wang; Triki, Houria; Zhou, Qin 3 2024 Extensions of dark KdV equations: nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems. Zbl 1547.37081 Lou, S. Y. 3 2024 Rogue waves and their patterns for the coupled Fokas-Lenells equations. Zbl 07855425 Ling, Liming; Su, Huajie 3 2024 Stochastic bifurcation and chaos study for nonlinear ship rolling motion with random excitation and delayed feedback controls. Zbl 1546.70081 Wang, Mengling; Wei, Zhouchao; Wang, Jiaxi; Yu, Xiang; Kapitaniak, Tomasz 3 2024 Efficiently high-order time-stepping R-GSAV schemes for the Navier-Stokes-Poisson-Nernst-Planck equations. Zbl 1541.65067 He, Yuyu; Chen, Hongtao 3 2024 The evolving butterfly: statistics in a changing attractor. Zbl 1547.37099 Geogdzhayev, Gosha; Souza, Andre N.; Ferrari, Raffaele 3 2024 Preserving Lagrangian structure in data-driven reduced-order modeling of large-scale dynamical systems. Zbl 1541.65177 Sharma, Harsh; Kramer, Boris 3 2024 Diffusion in Allen-Cahn equation: normal vs anomalous. Zbl 1533.65160 Fan, Enyu; Li, Changpin 3 2024 Convolution kernel determination problem for the time-fractional diffusion equation. Zbl 1533.35366 Durdiev, D. K. 3 2024 Orbital stability of periodic traveling waves in the \(b\)-Camassa-Holm equation. Zbl 07855420 Ehrman, Brett; Johnson, Mathew A. 2 2024 Nonintegrability of dissipative planar systems. Zbl 1546.37099 Yagasaki, Kazuyuki 2 2024 Robustness of interdependent directed higher-order networks against cascading failures. Zbl 1542.90065 Zhao, Dandan; Ling, Xianwen; Peng, Hao; Zhong, Ming; Han, Jianmin; Wang, Wei 2 2024 A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems. Zbl 1547.37073 Figueras, Jordi-Lluís; Haro, Alex 2 2024 Coupling parameter and particle dynamics for adaptive sampling in neural Galerkin schemes. Zbl 07864733 Wen, Yuxiao; Vanden-Eijnden, Eric; Peherstorfer, Benjamin 2 2024 Zero-noise dynamics after collapse for three point vortices. Zbl 1536.76023 Grotto, Francesco; Romito, Marco; Viviani, Milo 2 2024 Heterogeneity of the attractor of the Lorenz ’96 model: Lyapunov analysis, unstable periodic orbits, and shadowing properties. Zbl 1537.37043 Maiocchi, Chiara Cecilia; Lucarini, Valerio; Gritsun, Andrey; Sato, Yuzuru 2 2024 A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations. Zbl 1535.34016 Zitane, Hanaa; Torres, Delfim F. M. 2 2024 Multi-layer neural networks for data-driven learning of fractional difference equations’ stability, periodicity and chaos. Zbl 1533.39012 Wu, Guo-Cheng; Wei, Jia-Li; Xia, Tie-Cheng 2 2024 Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations. Zbl 1544.35078 Lizarraga, Ian; Marangell, Robert 2 2024 Quasiclassical integrability condition in AKNS scheme. Zbl 1539.35208 Kamchatnov, A. M.; Shaykin, D. V. 2 2024 Data-driven solutions and parameter discovery of the extended higher-order nonlinear Schrödinger equation in optical fibers. Zbl 1546.35221 Zhang, Yu; Lü, Xing 2 2024 When discrete fronts and pulses form a single family: FPU chain with hardening-softening springs. Zbl 1546.35183 Vainchtein, Anna; Truskinovsky, Lev 1 2024 Nonintegrability of time-periodic perturbations of single-degree-of-freedom Hamiltonian systems near homo- and heteroclinic orbits. Zbl 07868586 Yagasaki, Kazuyuki 1 2024 Temporal second-order difference schemes for the nonlinear time-fractional mixed sub-diffusion and diffusion-wave equation with delay. Zbl 07868590 Alikhanov, Anatoly A.; Shahbazi Asl, Mohammad; Huang, Chengming; Apekov, Aslan M. 1 2024 The data-driven rogue waves of the Hirota equation by using mix-training PINNs approach. Zbl 07868602 Sun, Shi-fei; Tian, Shi-fang; Li, Biao 1 2024 Intermittent phase dynamics of non-autonomous oscillators through time-varying phase. Zbl 1546.37042 Newman, Julian; Scott, Joseph P.; Rowland Adams, Joe; Stefanovska, Aneta 1 2024 On the dynamical Rayleigh-Taylor instability of 2D inviscid geophysical fluids with geostrophic balance. Zbl 1545.76045 Mao, Yiqiu; Wang, Quan; Xing, Chao; Yang, Liang 1 2024 Pollution overturning instability in an incompressible fluid with a Maxwell-Cattaneo-Mariano model for the pollutant field. Zbl 1547.35569 Nunziata, Martina; Tibullo, Vincenzo 1 2024 The influence of various optimization procedures on the dynamics and efficiency of nonlinear energy sink with synergistic effect consideration. Zbl 1543.70014 Lizunov, Petro; Pogorelova, Olga; Postnikova, Tetiana 1 2024 Time-fractional Allen-Cahn equations versus powers of the mean curvature. Zbl 1540.34016 Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico 1 2024 Non-uniqueness of forced active scalar equations with even drift operators. 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Zbl 1547.26007 Luchko, Yuri 4 2023 ...and 1363 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 54,934 Authors 189 Cao, Jinde 170 Ha, Seung-Yeal 158 Kurths, Jürgen 147 Kevrekidis, Panayotis G. 142 Chen, Guanrong 133 Malomed, Boris A. 131 Guo, Boling 126 Llibre, Jaume 111 Huang, Lihong 107 Wei, Juncheng 105 Titi, Edriss Saleh 105 Wazwaz, Abdul-Majid Abdul-Rahman 98 Pelinovsky, Dmitry Efimovich 98 Yin, Zhaoyang 94 Xu, Wei 91 Geng, Xianguo 87 Jafari, Sajad 85 Fan, Engui 82 Kofané, Timoléon Crépin 80 Liao, Xiaofeng 80 Ma, Wen-Xiu 78 Holm, Darryl Dallas 77 Carrillo de la Plata, José Antonio 76 Haller, George 76 Knobloch, Edgar 76 Qu, Changzheng 72 He, Jingsong 71 Grammaticos, Basil 71 Majda, Andrew Joseph 71 Pikovsky, Arkady S. 71 Tian, Bo 71 Wang, Xingyuan 69 Ashwin, Peter 69 Marsden, Jerrold Eldon 69 Zumbrun, Kevin R. 68 Duan, Jinqiao 67 Ramani, Alfred 67 Sprott, Julien Clinton 66 Gardini, Laura 65 Miranville, Alain M. 65 Temam, Roger Meyer 63 Kudryashov, Nikolaĭ Alekseevich 63 Liu, Yue 63 Wang, Bixiang 63 Wiggins, Stephen R. 63 Yan, Zhenya 62 Kapitaniak, Tomasz 62 Meiss, James D. 62 Rajagopal, Karthikeyan 61 Caldas, Iberê L. 61 Grebogi, Celso 61 Pham, Viet-Thanh 59 Chen, Yong 59 Kevrekidis, Ioannis George 59 Li, Jibin 59 Qiao, Zhijun (George) 59 Tian, Shoufu 58 Aihara, Kazuyuki 58 Grimshaw, Roger Hamilton James 58 Ott, Edward 57 Nepomnyashchy, Alexander A. 57 Sanjuán, Miguel A. F. 57 Wei, Junjie 57 Zhang, Wei 56 de la Llave, Rafael 56 Xu, Yong 56 Yang, Xiaofeng 55 Zhou, Shengfan 54 Bollt, Erik M. 54 Mu, Chunlai 53 Calogero, Francesco A. 53 MacKay, Robert Sinclair 53 Mezić, Igor 51 Ward, Michael J. 51 Wei, Zhouchao 50 Bi, Qinsheng 50 Gao, Hongjun 50 Kühn, Christian 50 Valls Anglés, Cláudia 50 Yorke, James Alan 49 Ablowitz, Mark Jay 49 Jiang, Haijun 49 Liu, Zengrong 48 Guo, Shangjiang 48 Lakshmanan, Muthusamy 48 Small, Michael 47 Gay-Balmaz, François 47 Han, Maoan 47 Kuznetsov, Sergey P. 46 Klein, Christian 46 Li, Chuandong 46 Tian, Lixin 46 Viana, Ricardo Luiz 45 Champneys, Alan R. 45 Dehghan Takht Fooladi, Mehdi 45 Letellier, Christophe 44 Crutchfield, James P. 44 Li, Yangrong 44 Sherratt, Jonathan A. 44 Simpson, David John Warwick ...and 54,834 more Authors all top 5 Cited in 1,148 Journals 4,937 Physica D 2,336 Chaos 1,948 Chaos, Solitons and Fractals 1,808 Physics Letters. 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