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: 7,493 Publications (since 1980) References Indexed: 7,341 Publications with 223,196 References. all top 5 Latest Issues 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) 363 (2018) 362 (2018) 361 (2017) 360 (2017) 359 (2017) 358 (2017) 356-357 (2017) 355 (2017) 353-354 (2017) 351-352 (2017) 350 (2017) 349 (2017) 348 (2017) ...and 641 more Volumes all top 5 Authors 59 Malomed, Boris A. 44 Kevrekidis, Panayotis G. 37 Knobloch, Edgar 34 Ott, Edward 32 Newell, Alan C. 31 MacKay, Robert Sinclair 31 Nepomnyashchy, Alexander A. 30 Kaneko, Kunihiko 28 Holm, Darryl Dallas 28 Meiss, James D. 27 Yorke, James Alan 25 Wiggins, Stephen R. 24 Holmes, Philip J. 24 Pikovsky, Arkady S. 24 Zakharov, Vladimir Evgen’evich 22 Pelinovsky, Dmitry Efimovich 21 Jones, Christopher K. R. T. 19 Ashwin, Peter 19 Champneys, Alan R. 19 Judd, Kevin 19 Kramer, Lorenz 19 Majda, Andrew J. 18 Gibbon, John D. 18 Grimshaw, Roger Hamilton James 18 Haller, George 18 Kurths, Jürgen 18 Marsden, Jerrold Eldon 17 Bressloff, Paul C. 17 Grebogi, Celso 17 Kevrekidis, Ioannis George 17 Nazarenko, Sergeĭ Vital’evich 17 Smyth, Noel Frederick 17 Wei, Juncheng 16 Aubry, Serge J. 16 Bollt, Erik M. 16 Doering, Charles Rogers 16 Dullin, Holger R. 16 Ghil, Michael 16 Mezić, Igor 16 Riecke, Hermann 16 Swinney, Harry L. 16 Vivaldi, Franco 16 Yan, Zhenya 15 Ablowitz, Mark Jay 15 Chaté, Hugues 15 Duan, Jinqiao 15 Fibich, Gadi 15 Haken, Hermann 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 Miller, Peter D. 14 Minzoni, Antonmaria Alessio 14 Zumbrun, Kevin R. 13 Bridges, Thomas J. 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 Sandstede, Björn 13 Silber, Mary 13 Temam, Roger Meyer 13 Titi, Edriss Saleh 13 Tyson, John J. 13 Vulpiani, Angelo 12 Beck, Christian 12 Brachet, Marc-Etienne 12 Camassa, Roberto 12 Cuevas Maraver, Jesús 12 Doelman, Arjen 12 Keener, James P. 12 Lichtenberg, Allan J. 12 Sakaguchi, Hidetsugu 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. 10 Aranson, Igor S. 10 Bayliss, Alvin 10 Bishop, Alan Reginald 10 Bonilla, Luis Lopez 10 Bountis, Tassos C. ...and 9,627 more Authors all top 5 Fields 2,910 Dynamical systems and ergodic theory (37-XX) 2,300 Partial differential equations (35-XX) 1,763 Fluid mechanics (76-XX) 925 Ordinary differential equations (34-XX) 879 Statistical mechanics, structure of matter (82-XX) 852 Biology and other natural sciences (92-XX) 528 Mechanics of particles and systems (70-XX) 413 Quantum theory (81-XX) 392 Numerical analysis (65-XX) 365 Optics, electromagnetic theory (78-XX) 292 Computer science (68-XX) 258 Probability theory and stochastic processes (60-XX) 249 Mechanics of deformable solids (74-XX) 234 Systems theory; control (93-XX) 223 Classical thermodynamics, heat transfer (80-XX) 193 Geophysics (86-XX) 163 Statistics (62-XX) 156 Information and communication theory, circuits (94-XX) 155 Global analysis, analysis on manifolds (58-XX) 89 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 88 Difference and functional equations (39-XX) 66 Operations research, mathematical programming (90-XX) 58 Integral equations (45-XX) 52 Combinatorics (05-XX) 52 Astronomy and astrophysics (85-XX) 50 Differential geometry (53-XX) 49 Real functions (26-XX) 44 General and overarching topics; collections (00-XX) 41 Measure and integration (28-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 35 Operator theory (47-XX) 32 Special functions (33-XX) 32 Relativity and gravitational theory (83-XX) 24 Algebraic geometry (14-XX) 22 Nonassociative rings and algebras (17-XX) 22 Functions of a complex variable (30-XX) 21 Number theory (11-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 21 General topology (54-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 16 Manifolds and cell complexes (57-XX) 15 Approximations and expansions (41-XX) 11 Topological groups, Lie groups (22-XX) 11 Algebraic topology (55-XX) 10 History and biography (01-XX) 9 Convex and discrete geometry (52-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 6 Mathematical logic and foundations (03-XX) 5 Functional analysis (46-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Category theory; homological algebra (18-XX) 4 Group theory and generalizations (20-XX) 4 Integral transforms, operational calculus (44-XX) 3 Associative rings and algebras (16-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 6,152 Publications have been cited 80,295 times in 48,909 Documents Cited by ▼ Year ▼ Nonlinear total variation based noise removal algorithms. Zbl 0780.49028 Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad 2,113 1992 Determining Lyapunov exponents from a time series. Zbl 0585.58037 Wolf, Alan; Swift, Jack B.; Swinney, Harry L.; Vastano, John A. 1,328 1985 Symplectic structures, their Bäcklund transformations and hereditary symmetries. Zbl 1194.37114 Fuchssteiner, B.; Fokas, A. S. 937 1981 Measuring the strangeness of strange attractors. Zbl 0593.58024 Grassberger, Peter; Procaccia, Itamar 523 1983 From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022 Strogatz, Steven H. 367 2000 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166 Jimbo, Michio; Miwa, Tetsuji 304 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 301 2003 Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121 Gurtin, Morton E. 293 1996 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 280 1981 On a class of physically important integrable equations. Zbl 1194.35363 Fokas, A. S. 258 1995 Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345 Fuchssteiner, Benno 254 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. 239 1993 Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001 Gopalsamy, K.; He, Xue-zhong 220 1994 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 217 1992 Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511 Wei, Junjie; Ruan, Shigui 213 1999 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. 204 2005 The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. Zbl 1237.37059 Aubry, S.; Le Daeron, P. Y. 202 1983 Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022 Wang, Bixiang 196 1999 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022 Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 184 2001 Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031 Nusse, Helena E.; Yorke, James A. 183 1992 Hidden attractor in smooth Chua systems. Zbl 1277.34052 Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I. 179 2012 Extracting qualitative dynamics from experimental data. Zbl 0603.58040 Broomhead, D. S.; King, Gregory P. 177 1986 Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554 Schäfer, T.; Wayne, C. E. 174 2004 An overview of Rayleigh-Taylor instability. Zbl 0577.76047 Sharp, D. H. 173 1984 Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001 Penrose, Oliver; Fife, Paul C. 171 1990 Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052 Farmer, J. Doyne 171 1982 New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031 Lu, Wenlian; Chen, Tianping 170 2006 The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026 Hentschel, H. G. E.; Procaccia, Itamar 168 1983 Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013 Nicolaenko, B.; Scheurer, B.; Temam, R. 167 1985 Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072 Lamb, Jeroen S. W.; Roberts, John A. G. 158 1998 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. 156 1987 Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059 Aubry, Serge 153 1997 Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077 Haller, G. 151 2001 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. 151 1983 The reduction problem and the inverse scattering method. Zbl 1194.37113 Mikhailov, Alexander V. 150 1981 Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011 Eyink, Gregory L. 149 1994 Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602 Rowley, Clarence W.; Colonius, Tim; Murray, Richard M. 148 2004 Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163 Zaslavsky, G. M. 146 1994 Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007 Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio 144 1980 Energy method for Boltzmann equation. Zbl 1098.82618 Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien 143 2004 Constants of motion for superconducting Josephson arrays. Zbl 0812.34043 Watanabe, Shinya; Strogatz, Steven H. 142 1994 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. 142 1982 Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165 Karpman, V. I.; Shagalov, A. G. 141 2000 Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622 Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin 140 2004 Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010 Erneux, Thomas; Nicolis, Grégoire 140 1993 Strange attractors that are not chaotic. Zbl 0588.58036 Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. 138 1984 Nonlinear prediction of chaotic time series. Zbl 0671.62099 Casdagli, Martin 137 1989 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 132 2012 Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175 Kobayashi, Ryo 132 1993 Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204 Hunter, John K.; Scheurle, Jürgen 131 1988 Transport in Hamiltonian systems. Zbl 0585.58039 Mackay, R. S.; Meiss, J. D.; Percival, I. C. 129 1984 Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227 Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C. 129 1989 Integrable mappings and soliton equations. II. Zbl 0679.58024 Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J. 128 1989 Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043 Haller, G.; Yuan, G. 128 2000 Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079 Song, Yongli; Han, Maoan; Wei, Junjie 127 2005 Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088 van Saarloos, Wim; Hohenberg, P. C. 126 1992 Fractal basin boundaries. Zbl 0588.58033 McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 124 1985 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018 Tyson, John J.; Keener, James P. 121 1988 Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072 Sandstede, Björn; Scheel, Arnd 121 2000 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. 121 2006 Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108 Gopalsamy, K.; Leung, I. 120 1996 Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026 Painter, Kevin J.; Hillen, Thomas 119 2011 Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310 Tavazoei, Mohammad Saleh; Haeri, Mohammad 119 2008 Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057 118 2000 The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033 Hyman, James M.; Nicolaenko, Basil 114 1986 Amplitude response of coupled oscillators. Zbl 0703.34047 Aronson, D. G.; Ermentrout, G. B.; Kopell, N. 114 1990 The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020 Iron, David; Ward, Michael J.; Wei, Juncheng 113 2001 Modulation instability: The beginning. Zbl 1157.37337 Zakharov, V. E.; Ostrovsky, L. A. 113 2009 On asymptotically equivalent shallow water wave equations. Zbl 1050.76008 Dullin, H. R.; Gottwald, G. A.; Holm, D. D. 112 2004 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 112 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 111 2004 The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025 Weiss, John 110 1991 Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069 Olien, Leonard; Bélair, Jacques 109 1997 Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520 Kaneko, Kunihiko 108 1990 Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459 Lions, P. L. 106 1982 Attractors of non-autonomous stochastic lattice systems in weighted spaces. Zbl 1364.34113 Bates, Peter W.; Lu, Kening; Wang, Bixiang 105 2014 Fourth-order symplectic integration. Zbl 0713.65044 Forest, Etienne; Ruth, Ronald D. 104 1990 Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385 Cao, Liangyue 103 1997 New applications of variational iteration method. Zbl 1084.35539 Abdou, M. A.; Soliman, A. A. 102 2005 State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103 Chuang, Yao-Li; D’Orsogna, Maria R.; Marthaler, Daniel; Bertozzi, Andrea L.; Chayes, Lincoln S. 101 2007 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. 101 1993 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 101 2013 An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060 Xu, Yong; Duan, Jinqiao; Xu, Wei 100 2011 On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387 Hunter, John K.; Zheng, Yuxi 100 1994 Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119 Doering, Charles R.; Gibbon, John D.; Levermore, C. David 100 1994 Integrable equations arising from motions of plane curves. Zbl 0987.35139 Chou, Kaiseng; Qu, Changzheng 98 2002 The Camassa-Holm equations and turbulence. Zbl 1194.76069 Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 98 1999 Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118 Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo 97 2004 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463 Marsden, Jerrold E.; Weinstein, Alan 97 1982 Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139 Constantin, Adrian; Molinet, Luc 96 2001 Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027 Armbruster, Dieter; Guckenheimer, John; Holmes, Philip 95 1988 Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081 Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning 95 2007 A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028 d’Onofrio, Alberto 95 2005 Dynamically orthogonal field equations for continuous stochastic dynamical systems. Zbl 1180.37119 Sapsis, Themistoklis P.; Lermusiaux, Pierre F. J. 95 2009 Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049 Fried, Eliot; Gurtin, Morton E. 95 1993 A variational theory of hyperbolic Lagrangian coherent structures. Zbl 1214.37056 Haller, George 94 2011 Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507 Wendlandt, Jeffrey M.; Marsden, Jerrold E. 93 1997 Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts. Zbl 0984.35030 Ebert, Ute; van Saarloos, Wim 91 2000 Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079 Guo, Shangjiang; Huang, Lihong 91 2003 Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621 Belykh, Igor V.; Belykh, Vladimir N.; Hasler, Martin 90 2004 Zero-noise dynamics after collapse for three point vortices. Zbl 07808012 Grotto, Francesco; Romito, Marco; Viviani, Milo 1 2024 Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions. Zbl 1512.37081 Ma, Wen-Xiu 9 2023 Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions. Zbl 07653434 Lin, Shuning; Chen, Yong 6 2023 Learning dynamical systems from data: a simple cross-validation perspective. III: Irregularly-sampled time series. 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Zbl 1496.35373 Zhong, Ming; Gong, Shibo; Tian, Shou-Fu; Yan, Zhenya 6 2022 ...and 1386 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 48,467 Authors 166 Cao, Jinde 163 Ha, Seung-Yeal 125 Chen, Guanrong 121 Guo, Boling 113 Llibre, Jaume 112 Kurths, Jürgen 99 Huang, Lihong 98 Titi, Edriss Saleh 98 Wei, Juncheng 90 Wazwaz, Abdul-Majid Abdul-Rahman 87 Yin, Zhaoyang 84 Kevrekidis, Panayotis G. 82 Pelinovsky, Dmitry Efimovich 77 Xu, Wei 75 Geng, Xianguo 75 Liao, Xiaofeng 73 Carrillo de la Plata, José Antonio 73 Jafari, Sajad 71 Fan, Engui 70 Holm, Darryl Dallas 70 Majda, Andrew J. 69 Haller, George 69 Wang, Xingyuan 68 Knobloch, Edgar 66 Ma, Wen-Xiu 66 Marsden, Jerrold Eldon 66 Zumbrun, Kevin R. 65 Temam, Roger Meyer 64 Qu, Changzheng 63 Malomed, Boris A. 62 Liu, Yue 62 Miranville, Alain M. 62 Wang, Bixiang 60 Ashwin, Peter 59 He, Jingsong 58 Gardini, Laura 57 Pham, Viet-Thanh 54 de la Llave, Rafael 54 Sprott, Julien Clinton 54 Wei, Junjie 54 Zhang, Wei 53 Duan, Jinqiao 53 Mezić, Igor 53 Qiao, Zhijun 52 Aihara, Kazuyuki 52 Meiss, James D. 52 Mu, Chunlai 52 Yang, Xiaofeng 50 Zhou, Shengfan 49 Pikovsky, Arkady S. 49 Yan, Zhenya 48 Calogero, Francesco A. 48 Kudryashov, Nikolaĭ Alekseevich 48 Rajagopal, Karthikeyan 48 Wiggins, Stephen R. 47 Gao, Hongjun 47 Grebogi, Celso 47 Nepomnyashchy, Alexander A. 47 Valls Anglés, Cláudia 47 Ward, Michael J. 47 Xu, Yong 46 Bollt, Erik M. 46 Jiang, Haijun 46 Kapitaniak, Tomasz 46 Kofané, Timoléon Crépin 46 Li, Jibin 45 Guo, Shangjiang 45 Kevrekidis, Ioannis George 45 MacKay, Robert Sinclair 44 Sanjuán, Miguel A. F. 44 Tian, Shoufu 43 Bi, Qinsheng 43 Grimshaw, Roger Hamilton James 43 Small, Michael 42 Caldas, Iberê L. 42 Dehghan Takht Fooladi, Mehdi 42 Wei, Zhouchao 41 Ablowitz, Mark Jay 41 Kühn, Christian 41 Li, Chuandong 41 Liu, Zengrong 41 Tian, Lixin 41 Wu, Jiahong 41 Xu, Jian 40 Kolokolnikov, Theodore 40 Sandstede, Björn 39 Champneys, Alan R. 39 Gay-Balmaz, François 39 Grammaticos, Basil 39 Han, Maoan 39 Jolly, Michael Summerfield 39 Klein, Christian 39 Scheel, Arnd 39 Sherratt, Jonathan A. 39 Tian, Bo 39 Yorke, James Alan 38 Bertola, Marco 38 Colli, Pierluigi 38 Crutchfield, James P. 38 Krauskopf, Bernd ...and 48,367 more Authors all top 5 Cited in 1,108 Journals 3,474 Physica D 1,774 Chaos 1,642 Chaos, Solitons and Fractals 1,512 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,363 Journal of Mathematical Physics 1,059 Journal of Differential Equations 1,035 Journal of Fluid Mechanics 1,003 Communications in Nonlinear Science and Numerical Simulation 952 Journal of Computational Physics 888 Applied Mathematics and Computation 875 Nonlinear Dynamics 802 Journal of Mathematical Analysis and Applications 674 Physics of Fluids 595 Communications in Mathematical Physics 587 Journal of Statistical Physics 488 Journal of Nonlinear Science 487 Physica A 452 Nonlinear Analysis. 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