Physica DNonlinear Phenomena Short Title: Physica D Publisher: Elsevier (North-Holland), Amsterdam ISSN: 0167-2789 Online: http://www.sciencedirect.com/science/journal/01672789 Documents Indexed: 7,250 Publications (since 1980) References Indexed: 7,099 Publications with 212,009 References. all top 5 Latest Issues 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) 347 (2017) 346 (2017) 345 (2017) 344 (2017) 343 (2017) 342 (2017) 341 (2017) 340 (2017) 339 (2017) 338 (2017) 337 (2016) 336 (2016) 335 (2016) ...and 628 more Volumes all top 5 Authors 59 Malomed, Boris A. 42 Kevrekidis, Panayotis G. 37 Knobloch, Edgar 34 Ott, Edward 31 MacKay, Robert Sinclair 31 Newell, Alan C. 30 Kaneko, Kunihiko 27 Holm, Darryl Dallas 27 Meiss, James D. 27 Yorke, James Alan 24 Holmes, Philip J. 24 Zakharov, Vladimir Evgen’evich 23 Nepomnyashchy, Alexander A. 23 Pikovsky, Arkady S. 23 Wiggins, Stephen 22 Pelinovsky, Dmitry Efimovich 19 Champneys, Alan R. 19 Jones, Christopher K. R. T. 19 Judd, Kevin 19 Kramer, Lorenz 19 Majda, Andrew J. 18 Ashwin, Peter 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 Nazarenko, Sergeĭ Vital’evich 17 Smyth, Noel Frederick 16 Aubry, Serge J. 16 Bollt, Erik M. 16 Doering, Charles Rogers 16 Ghil, Michael 16 Kevrekidis, Ioannis George 16 Mezić, Igor 16 Riecke, Hermann 16 Swinney, Harry L. 16 Vivaldi, Franco 16 Wei, Juncheng 15 Ablowitz, Mark Jay 15 Chaté, Hugues 15 Dullin, Holger R. 15 Fibich, Gadi 15 Haken, Hermann 15 Percival, Ian C. 15 Simó, Carles 14 Christiansen, Peter Leth 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 Ercolani, Nicholas M. 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 Feng, Baofeng 12 Keener, James P. 12 Lichtenberg, Allan J. 12 Sakaguchi, Hidetsugu 12 Small, Michael 12 Tabor, Michael 12 Thiffeault, Jean-Luc 12 Yan, Zhenya 11 Aihara, Kazuyuki 11 Aurich, Ralf 11 Constantin, Peter 11 Duan, Jinqiao 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 9,243 more Authors all top 5 Fields 2,826 Dynamical systems and ergodic theory (37-XX) 2,203 Partial differential equations (35-XX) 1,714 Fluid mechanics (76-XX) 896 Ordinary differential equations (34-XX) 867 Statistical mechanics, structure of matter (82-XX) 824 Biology and other natural sciences (92-XX) 509 Mechanics of particles and systems (70-XX) 400 Quantum theory (81-XX) 366 Numerical analysis (65-XX) 353 Optics, electromagnetic theory (78-XX) 274 Computer science (68-XX) 246 Probability theory and stochastic processes (60-XX) 246 Mechanics of deformable solids (74-XX) 226 Systems theory; control (93-XX) 221 Classical thermodynamics, heat transfer (80-XX) 180 Geophysics (86-XX) 155 Statistics (62-XX) 152 Global analysis, analysis on manifolds (58-XX) 151 Information and communication theory, circuits (94-XX) 84 Difference and functional equations (39-XX) 83 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Operations research, mathematical programming (90-XX) 58 Integral equations (45-XX) 52 Astronomy and astrophysics (85-XX) 50 Combinatorics (05-XX) 48 Differential geometry (53-XX) 42 General and overarching topics; collections (00-XX) 40 Measure and integration (28-XX) 39 Real functions (26-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 33 Operator theory (47-XX) 30 Relativity and gravitational theory (83-XX) 22 Functions of a complex variable (30-XX) 22 Special functions (33-XX) 20 Number theory (11-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 18 Algebraic geometry (14-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Nonassociative rings and algebras (17-XX) 18 General topology (54-XX) 15 Manifolds and cell complexes (57-XX) 13 Approximations and expansions (41-XX) 11 Topological groups, Lie groups (22-XX) 10 History and biography (01-XX) 10 Algebraic topology (55-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Convex and discrete geometry (52-XX) 5 Mathematical logic and foundations (03-XX) 5 Functional analysis (46-XX) 4 Category theory; homological algebra (18-XX) 4 Group theory and generalizations (20-XX) 4 Integral transforms, operational calculus (44-XX) 3 Commutative algebra (13-XX) 3 Potential theory (31-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 5,805 Publications have been cited 71,875 times in 43,742 Documents Cited by ▼ Year ▼ Nonlinear total variation based noise removal algorithms. Zbl 0780.49028Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad 1,856 1992 Determining Lyapunov exponents from a time series. Zbl 0585.58037Wolf, Alan; Swift, Jack B.; Swinney, Harry L.; Vastano, John A. 1,241 1985 Symplectic structures, their Bäcklund transformations and hereditary symmetries. Zbl 1194.37114Fuchssteiner, B.; Fokas, A. S. 843 1981 Measuring the strangeness of strange attractors. Zbl 0593.58024Grassberger, Peter; Procaccia, Itamar 516 1983 From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022Strogatz, Steven H. 315 2000 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166Jimbo, Michio; Miwa, Tetsuji 269 1981 Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121Gurtin, Morton E. 255 1996 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function. Zbl 1194.34167Jimbo, Michio; Miwa, Tetsuji; Ueno, Kimio 248 1981 A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Zbl 1092.76069Liu, Chun; Shen, Jie 243 2003 A practical method for calculating largest Lyapunov exponents from small data sets. Zbl 0779.58030Rosenstein, Michael T.; Collins, James J.; De Luca, Carlo J. 225 1993 Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345Fuchssteiner, Benno 224 1996 On a class of physically important integrable equations. Zbl 1194.35363Fokas, A. S. 220 1995 Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001Gopalsamy, K.; He, Xue-zhong 214 1994 Testing for nonlinearity in time series: the method of surrogate data. Zbl 1194.37144Theiler, James; Eubank, Stephen; Longtin, André; Galdrikian, Bryan; Farmer, J. Doyne 210 1992 Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511Wei, Junjie; Ruan, Shigui 207 1999 The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. Zbl 1237.37059Aubry, S.; Le Daeron, P. Y. 188 1983 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 182 2005 Hidden attractor in smooth Chua systems. Zbl 1277.34052Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I. 177 2012 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 174 2001 Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031Nusse, Helena E.; Yorke, James A. 174 1992 Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022Wang, Bixiang 172 1999 An overview of Rayleigh-Taylor instability. Zbl 0577.76047Sharp, D. H. 169 1984 Extracting qualitative dynamics from experimental data. Zbl 0603.58040Broomhead, D. S.; King, Gregory P. 168 1986 Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052Farmer, J. Doyne 167 1982 Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001Penrose, Oliver; Fife, Paul C. 164 1990 The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026Hentschel, H. G. E.; Procaccia, Itamar 155 1983 New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031Lu, Wenlian; Chen, Tianping 151 2006 Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554Schäfer, T.; Wayne, C. E. 151 2004 A simple global characterization for normal forms of singular vector fields. Zbl 0633.58020Elphick, C.; Tirapegui, E.; Brachet, M. E.; Coullet, P.; Iooss, G. 151 1987 Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013Nicolaenko, B.; Scheurer, B.; Temam, R. 147 1985 Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072Lamb, Jeroen S. W.; Roberts, John A. G. 143 1998 Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059Aubry, Serge 139 1997 Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163Zaslavsky, G. M. 138 1994 The reduction problem and the inverse scattering method. Zbl 1194.37113Mikhailov, Alexander V. 138 1981 Constants of motion for superconducting Josephson arrays. Zbl 0812.34043Watanabe, Shinya; Strogatz, Steven H. 133 1994 Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077Haller, G. 133 2001 Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin 133 2004 Nonlinear prediction of chaotic time series. Zbl 0671.62099Casdagli, Martin 129 1989 Energy method for Boltzmann equation. Zbl 1098.82618Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien 127 2004 Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio 127 1980 Strange attractors that are not chaotic. Zbl 0588.58036Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. 127 1984 Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011Eyink, Gregory L. 126 1994 Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079Song, Yongli; Han, Maoan; Wei, Junjie 125 2005 Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010Erneux, Thomas; Nicolis, Grégoire 124 1993 On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling. Zbl 1194.30028Mandelbrot, Benoit B. 124 1983 Transport in Hamiltonian systems. Zbl 0585.58039Mackay, R. S.; Meiss, J. D.; Percival, I. C. 122 1984 Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165Karpman, V. I.; Shagalov, A. G. 121 2000 Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088van Saarloos, Wim; Hohenberg, P. C. 121 1992 Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043Haller, G.; Yuan, G. 119 2000 Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108Gopalsamy, K.; Leung, I. 118 1996 Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204Hunter, John K.; Scheurle, Jürgen 118 1988 Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602Rowley, Clarence W.; Colonius, Tim; Murray, Richard M. 117 2004 Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C. 117 1989 Fractal basin boundaries. Zbl 0588.58033McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 116 1985 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018Tyson, John J.; Keener, James P. 115 1988 Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072Sandstede, Björn; Scheel, Arnd 114 2000 Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type. Zbl 0571.35100Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 113 1982 Integrable mappings and soliton equations. II. Zbl 0679.58024Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J. 113 1989 Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310Tavazoei, Mohammad Saleh; Haeri, Mohammad 111 2008 Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175Kobayashi, Ryo 110 1993 Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model. Zbl 1238.34102Choi, Young-Pil; Ha, Seung-Yeal; Jung, Sungeun; Kim, Yongduck 109 2012 Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026Painter, Kevin J.; Hillen, Thomas 108 2011 Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069Olien, Leonard; Bélair, Jacques 107 1997 Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Zbl 1103.34044Forti, M.; Grazzini, M.; Nistri, P.; Pancioni, L. 106 2006 Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057 106 2000 Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520Kaneko, Kunihiko 105 1990 The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025Weiss, John 105 1991 Amplitude response of coupled oscillators. Zbl 0703.34047Aronson, D. G.; Ermentrout, G. B.; Kopell, N. 105 1990 The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020Iron, David; Ward, Michael J.; Wei, Juncheng 104 2001 Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459Lions, P. L. 104 1982 On asymptotically equivalent shallow water wave equations. Zbl 1050.76008Dullin, H. R.; Gottwald, G. A.; Holm, D. D. 103 2004 Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates. Zbl 1098.82602Chang, Shu-Ming; Lin, Chang-Shou; Lin, Tai-Chia; Lin, Wen-Wei 101 2004 Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385Cao, Liangyue 101 1997 The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033Hyman, James M.; Nicolaenko, Basil 100 1986 Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. Zbl 1098.76603Chen, Gui-Qiang; Liu, Hailiang 99 2004 New applications of variational iteration method. Zbl 1084.35539Abdou, M. A.; Soliman, A. A. 97 2005 Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119Doering, Charles R.; Gibbon, John D.; Levermore, C. David 96 1994 On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387Hunter, John K.; Zheng, Yuxi 94 1994 Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo 94 2004 Fourth-order symplectic integration. Zbl 0713.65044Forest, Etienne; Ruth, Ronald D. 93 1990 Thermodynamically-consistent phase-field models for solidification. Zbl 0791.35159Wang, S.-L.; Sekerka, R. F.; Wheeler, A. A.; Murray, B. T.; Coriell, S. R.; Braun, R. J.; McFadden, G. B. 91 1993 Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027Armbruster, Dieter; Guckenheimer, John; Holmes, Philip 91 1988 The Camassa-Holm equations and turbulence. Zbl 1194.76069Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 91 1999 Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning 90 2007 State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103Chuang, Yao-Li; D’Orsogna, Maria R.; Marthaler, Daniel; Bertozzi, Andrea L.; Chayes, Lincoln S. 90 2007 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463Marsden, Jerrold E.; Weinstein, Alan 90 1982 Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507Wendlandt, Jeffrey M.; Marsden, Jerrold E. 90 1997 Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079Guo, Shangjiang; Huang, Lihong 89 2003 A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028d’Onofrio, Alberto 89 2005 Integrable equations arising from motions of plane curves. Zbl 0987.35139Chou, Kaiseng; Qu, Changzheng 88 2002 Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049Fried, Eliot; Gurtin, Morton E. 87 1993 Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621Belykh, Igor V.; Belykh, Vladimir N.; Hasler, Martin 87 2004 Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation. Zbl 0755.35118Kovačič, Gregor; Wiggins, Stephen 87 1992 Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017Clarkson, Peter A.; Mansfield, Elizabeth L. 86 1994 Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 86 1990 Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement. Zbl 1321.92076Peng, Rui; Yi, Fengqi 85 2013 Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139Constantin, Adrian; Molinet, Luc 84 2001 Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002Wang, Lin; Zou, Xingfu 83 2002 Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Zbl 0984.92502Mohamad, Sannay 83 2001 A variational theory of hyperbolic Lagrangian coherent structures. Zbl 1214.37056Haller, George 83 2011 Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies. Zbl 1487.35270Ma, Wen-Xiu 16 2022 \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm. Zbl 1491.35307Peng, Wei-Qi; Chen, Yong 4 2022 Kadomtsev-Petviashvili equation: one-constraint method and lump pattern. Zbl 1484.35121Dong, Jieyang; Ling, Liming; Zhang, Xiaoen 4 2022 Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method. Zbl 1492.65352Senyange, B.; Skokos, Ch. 4 2022 A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093Geng, Xianguo; Li, Ruomeng; Xue, Bo 3 2022 The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface. Zbl 1498.37101Katsanikas, M.; Wiggins, S. 3 2022 Hamiltonian operator inference: physics-preserving learning of reduced-order models for canonical Hamiltonian systems. Zbl 1487.65193Sharma, Harsh; Wang, Zhu; Kramer, Boris 3 2022 Comparing the dynamics of COVID-19 infection and mortality in the United States, India, and Brazil. 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Zbl 1495.76027Reinaud, Jean N.; Dritschel, David G.; Scott, Richard K. 2 2022 Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation. Zbl 07599652Lafortune, Stéphane; Pelinovsky, Dmitry E. 2 2022 Multi-component universal character hierarchy and its polynomial tau-functions. Zbl 1483.14060Li, Chuanzhong 2 2022 Bilinear equations in Darboux transformations by boson-fermion correspondence. Zbl 1486.81178Yang, Yi; Cheng, Jipeng 2 2022 Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation. Zbl 1495.37061Sun, Hong-Qian; Zhu, Zuo-Nong 1 2022 Discrete models of complex systems: recent trends and analytical challenges. Zbl 1490.00026 1 2022 The numerical search for the internal dynamics of NHIMs and their pictorial representation. Zbl 07548979Gonzalez Montoya, Francisco; Jung, Christof 1 2022 Darboux transformation and solitonic solution to the coupled complex short pulse equation. Zbl 1492.35083Feng, Bao-Feng; Ling, Liming 1 2022 Poisson brackets and truncations in nonlinear reduced fluid models for plasmas. Zbl 1500.76112Tassi, E. 1 2022 Control of diffusion-driven pattern formation behind a wave of competency. Zbl 1494.92031Liu, Yue; Maini, Philip K.; Baker, Ruth E. 1 2022 Persistent strange attractors in 3D polymatrix replicators. Zbl 1501.37035Peixe, Telmo; Rodrigues, Alexandre 1 2022 Opinion dynamics involving contrarian and independence behaviors based on the Sznajd model with two-two and three-one agent interactions. Zbl 1498.91323Muslim, Roni; Kholili, M. Jauhar; Nugraha, Ahmad R. T. 1 2022 Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation. Zbl 1501.35277Wang, Kedong; Geng, Xianguo; Chen, Mingming 1 2022 Introduction to special issue: Chaos indicators, phase space and chemical reaction dynamics. Zbl 1493.00021 1 2022 Formation of the undular bores in shallow water generalized Kaup-Boussinesq model. Zbl 07579765Gong, Ruizhi; Wang, Deng-Shan 1 2022 Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials. Zbl 1486.85018Patsis, P. A.; Manos, T.; Chaves-Velasquez, L.; Skokos, Ch.; Puerari, I. 1 2022 Nanoptera in nonlinear woodpile chains with zero precompression. Zbl 1490.76223Deng, G.; Lustri, C. J. 1 2022 Reversibility of number-conserving 1D cellular automata: unlocking insights into the dynamics for larger state sets. Zbl 1492.37018Wolnik, Barbara; Dziemiańczuk, Maciej; Dzedzej, Adam; De Baets, Bernard 1 2022 Suppression of singularities of solutions of the Euler-Poisson system with density-dependent damping. Zbl 07479419Rozanova, Olga S. 1 2022 Integrability, conservation laws and solitons of a many-body dynamical system associated with the half-wave maps equation. Zbl 07479425Matsuno, Yoshimasa 1 2022 Lagrangian descriptors and the action integral of classical mechanics. Zbl 1498.37125García-Garrido, Víctor J.; Wiggins, Stephen 1 2022 Regions without invariant tori of given class for the planar circular restricted three-body problem. Zbl 1496.85002Kallinikos, N.; MacKay, R. S.; Syndercombe, T. 1 2022 Differential recurrences for the distribution of the trace of the \(\beta\)-Jacobi ensemble. Zbl 1496.81091Forrester, Peter J.; Kumar, Santosh 1 2022 Into higher dimensions for nonsmooth dynamical systems. Zbl 1497.37026Jeffrey, Mike R.; Seidman, Thomas I.; Teixeira, Marco A.; Utkin, Vadim I. 1 2022 Solitary waves in FPU-type lattices. Zbl 07529695Vainchtein, Anna 1 2022 Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation. Zbl 1491.34100Xia, Jun; Xu, Shuai-Xia; Zhao, Yu-Qiu 1 2022 Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows. 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Zbl 07479449Zhang, Han-Song; Wang, Lei; Sun, Wen-Rong; Wang, Xin; Xu, Tao 2 2021 ...and 1272 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 43,720 Authors 153 Cao, Jinde 146 Ha, Seung-Yeal 120 Chen, Guanrong 111 Guo, Boling 105 Llibre, Jaume 101 Kurths, Jürgen 96 Wazwaz, Abdul-Majid Abdul-Rahman 91 Huang, Lihong 91 Titi, Edriss Saleh 91 Wei, Juncheng 83 Yin, Zhaoyang 77 Pelinovsky, Dmitry Efimovich 75 Liao, Xiaofeng 75 Xu, Wei 70 Majda, Andrew J. 69 Jafari, Sajad 68 Haller, George 68 Kevrekidis, Panayotis G. 67 Wang, Xingyuan 66 Marsden, Jerrold Eldon 65 Holm, Darryl Dallas 65 Knobloch, Edgar 65 Zumbrun, Kevin R. 64 Carrillo de la Plata, José Antonio 64 Temam, Roger Meyer 62 Qu, Changzheng 61 Liu, Yue 60 Geng, Xianguo 59 Fan, Engui 57 Miranville, Alain M. 56 Ashwin, Peter 56 Ma, Wen-Xiu 56 Malomed, Boris A. 55 Pham, Viet-Thanh 55 Wang, Bixiang 54 Gardini, Laura 54 Xu, Jian 53 Sprott, Julien Clinton 53 Wei, Junjie 52 Zhang, Wei 51 Mu, Chunlai 50 Aihara, Kazuyuki 50 de la Llave, Rafael 50 Mezić, Igor 49 Zhou, Shengfan 48 Meiss, James D. 46 Calogero, Francesco A. 46 Ward, Michael J. 46 Wiggins, Stephen 45 Grebogi, Celso 45 Kapitaniak, Tomasz 45 Li, Jibin 45 Pikovsky, Arkady S. 45 Qiao, Zhijun 45 Yang, Xiaofeng 44 Bollt, Erik M. 44 Valls Anglés, Cláudia 43 Gao, Hongjun 43 Guo, Shangjiang 43 He, Jingsong 43 Jiang, Haijun 43 Kudryashov, Nikolaĭ Alekseevich 43 MacKay, Robert Sinclair 42 Caldas, Iberê L. 42 Grimshaw, Roger Hamilton James 42 Rajagopal, Karthikeyan 42 Small, Michael 41 Liu, Zengrong 41 Sanjuán, Miguel A. 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