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: 6,613 Publications (since 1980) References Indexed: 6,411 Publications with 180,497 References. all top 5 Latest Issues 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) 334 (2016) 333 (2016) 332 (2016) 331 (2016) 330 (2016) 328-329 (2016) 327 (2016) 326 (2016) 325 (2016) 323-324 (2016) 321-322 (2016) 320 (2016) 318-319 (2016) 317 (2016) 316 (2016) 315 (2016) 314 (2016) 313 (2015) 311-312 (2015) 310 (2015) 309 (2015) 308 (2015) 307 (2015) 306 (2015) 304-305 (2015) 303 (2015) 301-302 (2015) 300 (2015) 298-299 (2015) 297 (2015) 295-296 (2015) 294 (2015) 292-293 (2015) 291 (2015) 290 (2015) 289 (2014) 288 (2014) 286-287 (2014) 285 (2014) 284 (2014) 283 (2014) 282 (2014) 280-281 (2014) 278-279 (2014) ...and 584 more Volumes all top 5 Authors 58 Malomed, Boris A. 39 Kevrekidis, Panayotis G. 37 Knobloch, Edgar 34 Ott, Edward 30 Kaneko, Kunihiko 30 MacKay, Robert Sinclair 30 Newell, Alan C. 27 Yorke, James Alan 26 Holm, Darryl D. 24 Holmes, Philip J. 24 Meiss, James D. 23 Zakharov, Vladimir Evgen’evich 22 Pikovsky, Arkady S. 20 Nepomnyashchy, Alexander A. 20 Wiggins, Stephen 19 Judd, Kevin 19 Kramer, Lorenz 19 Pelinovsky, Dmitry Efimovich 18 Haller, George 18 Kurths, Jürgen 18 Majda, Andrew J. 17 Ashwin, Peter 17 Champneys, Alan R. 17 Grimshaw, Roger Hamilton James 17 Marsden, Jerrold Eldon 17 Nazarenko, Sergeĭ Vital’evich 16 Aubry, Serge J. 16 Bressloff, Paul C. 16 Ghil, Michael 16 Gibbon, John D. 16 Grebogi, Celso 16 Mezić, Igor 16 Riecke, Hermann 16 Swinney, Harry L. 15 Bollt, Erik M. 15 Chaté, Hugues 15 Doering, Charles R. 15 Dullin, Holger R. 15 Haken, Hermann 15 Kevrekidis, Ioannis George 15 Percival, Ian C. 14 Ablowitz, Mark Jay 14 Christiansen, Peter Leth 14 Fibich, Gadi 14 Jones, Christopher K. R. T. 14 Kaup, David J. 14 McLaughlin, David W. 14 Minzoni, Antonmaria Alessio 14 Simó, Carles 14 Smyth, Noel F. 14 Wei, Juncheng 13 Bridges, Thomas J. 13 Eilbeck, John Chris 13 Golubitsky, Martin A. 13 Gunji, Yukio-Pegio 13 Moloney, Jerome V. 13 Temam, Roger Meyer 13 Tyson, John J. 13 Vulpiani, Angelo 12 Brachet, Marc-Etienne 12 Cuevas Maraver, Jesús 12 Ercolani, Nicholas M. 12 Keener, James P. 12 Lichtenberg, Allan J. 12 Sakaguchi, Hidetsugu 12 Sandstede, Björn 12 Tabor, Michael 12 Vivaldi, Franco 12 Zumbrun, Kevin R. 11 Aihara, Kazuyuki 11 Aurich, Ralf 11 Beck, Christian 11 Foiaş, Ciprian Ilie 11 Forest, M. Gregory 11 Miller, Peter D. 11 Moroz, Irene M. 11 Mosekilde, Erik 11 Pomeau, Yves 11 Silber, Mary 11 Sivashinsky, Gregory I. 11 Small, Michael 11 Sulem, Pierre-Louis 11 Thiffeault, Jean-Luc 11 Titi, Edriss Saleh 10 Aranson, Igor S. 10 Bishop, Alan Reginald 10 Bonilla, Luis Lopez 10 Bountis, Tassos C. 10 Camassa, Roberto 10 Constantin, Peter 10 Deconinck, Bernard 10 Doelman, Arjen 10 Eyink, Gregory L. 10 Fokas, Athanassios S. 10 Frantzeskakis, Dimitri J. 10 Golovin, Alexander A. 10 Kapral, Raymond 10 Kawahara, Takuji 10 Kolokolnikov, Theodore 10 Kuznetsov, Evgeniĭ Aleksandrovich ...and 8,252 more Authors all top 5 Fields 2,645 Dynamical systems and ergodic theory (37-XX) 1,975 Partial differential equations (35-XX) 1,594 Fluid mechanics (76-XX) 817 Ordinary differential equations (34-XX) 795 Statistical mechanics, structure of matter (82-XX) 745 Biology and other natural sciences (92-XX) 454 Mechanics of particles and systems (70-XX) 363 Quantum theory (81-XX) 323 Optics, electromagnetic theory (78-XX) 319 Numerical analysis (65-XX) 221 Mechanics of deformable solids (74-XX) 219 Probability theory and stochastic processes (60-XX) 210 Computer science (68-XX) 207 Classical thermodynamics, heat transfer (80-XX) 196 Systems theory; control (93-XX) 161 Geophysics (86-XX) 152 Global analysis, analysis on manifolds (58-XX) 135 Statistics (62-XX) 133 Information and communication theory, circuits (94-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Difference and functional equations (39-XX) 53 Integral equations (45-XX) 52 Operations research, mathematical programming (90-XX) 44 Combinatorics (05-XX) 42 Differential geometry (53-XX) 42 Astronomy and astrophysics (85-XX) 39 Measure and integration (28-XX) 38 General and overarching topics; collections (00-XX) 35 Real functions (26-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Operator theory (47-XX) 25 Relativity and gravitational theory (83-XX) 20 Number theory (11-XX) 20 Functions of a complex variable (30-XX) 17 Algebraic geometry (14-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 General topology (54-XX) 15 Nonassociative rings and algebras (17-XX) 14 Manifolds and cell complexes (57-XX) 13 Special functions (33-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 History and biography (01-XX) 10 Topological groups, Lie groups (22-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Algebraic topology (55-XX) 6 Convex and discrete geometry (52-XX) 5 Approximations and expansions (41-XX) 4 Mathematical logic and foundations (03-XX) 4 Category theory; homological algebra (18-XX) 4 Functional analysis (46-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-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 5,455 Publications have been cited 62,848 times in 38,457 Documents Cited by ▼ Year ▼ Nonlinear total variation based noise removal algorithms. Zbl 0780.49028Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad 1,531 1992 Determining Lyapunov exponents from a time series. Zbl 0585.58037Wolf, Alan; Swift, Jack B.; Swinney, Harry L.; Vastano, John A. 1,085 1985 Symplectic structures, their Bäcklund transformations and hereditary symmetries. Zbl 1194.37114Fuchssteiner, B.; Fokas, A. S. 728 1981 Measuring the strangeness of strange attractors. Zbl 0593.58024Grassberger, Peter; Procaccia, Itamar 446 1983 From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022Strogatz, Steven H. 276 2000 Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166Jimbo, Michio; Miwa, Tetsuji 245 1981 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 228 1981 Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121Gurtin, Morton E. 220 1996 Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001Gopalsamy, K.; He, Xue-zhong 209 1994 Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511Wei, Junjie; Ruan, Shigui 199 1999 A practical method for calculating largest Lyapunov exponents from small data sets. Zbl 0779.58030Rosenstein, Michael T.; Collins, James J.; De Luca, Carlo J. 195 1993 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 192 2003 Testing for nonlinearity in time series: the method of surrogate data. Zbl 1194.37144Theiler, James; Eubank, Stephen; Longtin, André; Galdrikian, Bryan; Farmer, J. Doyne 190 1992 Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345Fuchssteiner, Benno 184 1996 The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. Zbl 1237.37059Aubry, S.; Le Daeron, P. Y. 177 1983 On a class of physically important integrable equations. Zbl 1194.35363Fokas, A. S. 176 1995 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 159 2001 Extracting qualitative dynamics from experimental data. Zbl 0603.58040Broomhead, D. S.; King, Gregory P. 157 1986 Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031Nusse, Helena E.; Yorke, James A. 156 1992 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. 156 2005 Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052Farmer, J. Doyne 154 1982 Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001Penrose, Oliver; Fife, Paul C. 153 1990 Hidden attractor in smooth Chua systems. Zbl 1277.34052Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I. 147 2012 Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022Wang, Bixiang 146 1999 A simple global characterization for normal forms of singular vector fields. Zbl 0633.58020Elphick, C.; Tirapegui, E.; Brachet, M. E.; Coullet, P.; Iooss, G. 145 1987 New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031Lu, Wenlian; Chen, Tianping 141 2006 The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026Hentschel, H. G. E.; Procaccia, Itamar 141 1983 An overview of Rayleigh-Taylor instability. Zbl 0577.76047Sharp, D. H. 141 1984 Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163Zaslavsky, G. M. 127 1994 Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013Nicolaenko, B.; Scheurer, B.; Temam, R. 125 1985 The reduction problem and the inverse scattering method. Zbl 1194.37113Mikhailov, Alexander V. 124 1981 Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072Lamb, Jeroen S. W.; Roberts, John A. G. 122 1998 Nonlinear prediction of chaotic time series. Zbl 0671.62099Casdagli, Martin 122 1989 Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059Aubry, Serge 121 1997 Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077Haller, G. 120 2001 Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079Song, Yongli; Han, Maoan; Wei, Junjie 119 2005 Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio 119 1980 Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554Schäfer, T.; Wayne, C. E. 119 2004 Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108Gopalsamy, K.; Leung, I. 118 1996 Constants of motion for superconducting Josephson arrays. Zbl 0812.34043Watanabe, Shinya; Strogatz, Steven H. 117 1994 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. 117 1983 Energy method for Boltzmann equation. Zbl 1098.82618Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien 117 2004 Strange attractors that are not chaotic. Zbl 0588.58036Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A. 116 1984 Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin 113 2004 Transport in Hamiltonian systems. Zbl 0585.58039Mackay, R. S.; Meiss, J. D.; Percival, I. C. 109 1984 Fractal basin boundaries. Zbl 0588.58033McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A. 109 1985 Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088van Saarloos, Wim; Hohenberg, P. C. 108 1992 Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010Erneux, Thomas; Nicolis, Grégoire 108 1993 Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069Olien, Leonard; Bélair, Jacques 106 1997 Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018Tyson, John J.; Keener, James P. 106 1988 Integrable mappings and soliton equations. II. Zbl 0679.58024Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J. 106 1989 Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459Lions, P. L. 103 1982 Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C. 103 1989 Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043Haller, G.; Yuan, G. 101 2000 Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072Sandstede, Björn; Scheel, Arnd 99 2000 Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204Hunter, John K.; Scheurle, Jürgen 99 1988 Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310Tavazoei, Mohammad Saleh; Haeri, Mohammad 99 2008 Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520Kaneko, Kunihiko 98 1990 Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165Karpman, V. I.; Shagalov, A. G. 96 2000 New applications of variational iteration method. Zbl 1084.35539Abdou, M. A.; Soliman, A. A. 94 2005 Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026Painter, Kevin J.; Hillen, Thomas 94 2011 The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020Iron, David; Ward, Michael J.; Wei, Juncheng 94 2001 Amplitude response of coupled oscillators. Zbl 0703.34047Aronson, D. G.; Ermentrout, G. B.; Kopell, N. 93 1990 Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602Rowley, Clarence W.; Colonius, Tim; Murray, Richard M. 93 2004 The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025Weiss, John 93 1991 Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011Eyink, Gregory L. 92 1994 Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057Golubitsky, M. (ed.); Knobloch, E. (ed.) 91 2000 On asymptotically equivalent shallow water wave equations. Zbl 1050.76008Dullin, H. R.; Gottwald, G. A.; Holm, D. D. 91 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 91 2004 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 90 2012 Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027Armbruster, Dieter; Guckenheimer, John; Holmes, Philip 90 1988 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. 89 1982 Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119Doering, Charles R.; Gibbon, John D.; Levermore, C. David 88 1994 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 Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175Kobayashi, Ryo 87 1993 Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Zbl 1103.34044Forti, M.; Grazzini, M.; Nistri, P.; Pancioni, L. 87 2006 Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo 87 2004 The Camassa-Holm equations and turbulence. Zbl 1194.76069Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 86 1999 Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079Guo, Shangjiang; Huang, Lihong 86 2003 On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387Hunter, John K.; Zheng, Yuxi 85 1994 The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033Hyman, James M.; Nicolaenko, Basil 85 1986 Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning 84 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. 84 2007 Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 82 1990 Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002Wang, Lin; Zou, Xingfu 82 2002 Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385Cao, Liangyue 81 1997 Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017Clarkson, Peter A.; Mansfield, Elizabeth L. 80 1994 Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507Wendlandt, Jeffrey M.; Marsden, Jerrold E. 80 1997 Fourth-order symplectic integration. Zbl 0713.65044Forest, Etienne; Ruth, Ronald D. 80 1990 Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049Fried, Eliot; Gurtin, Morton E. 79 1993 Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Zbl 0984.92502Mohamad, Sannay 79 2001 Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621Belykh, Igor V.; Belykh, Vladimir N.; Hasler, Martin 78 2004 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463Marsden, Jerrold E.; Weinstein, Alan 77 1982 Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. Zbl 1098.76603Chen, Gui-Qiang; Liu, Hailiang 77 2004 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. 76 1993 A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028d’Onofrio, Alberto 76 2005 On the origin and bifurcations of stick-slip oscillations. Zbl 0963.70016Dankowicz, Harry; Nordmark, Arne B. 73 2000 Asymptotic analysis of the Navier-Stokes equations. Zbl 0584.35007Foiaş, Ciprian; Manley, O. P.; Temam, R.; Treve, Y. M. 73 1983 On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030Constantin, P.; Foias, C.; Temam, R. 73 1988 Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Zbl 1097.34053Cao, Jinde; Li, Xiaolin 73 2005 Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions. Zbl 1453.37069Zhang, Guoqiang; Yan, Zhenya 4 2020 \(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. Zbl 1453.37068Rao, Jiguang; Cheng, Yi; Porsezian, Kuppuswamy; Mihalache, Dumitru; He, Jingsong 4 2020 Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161Zhao, Peng; Fan, Engui 3 2020 Stationary and non-stationary patterns of the density-suppressed motility model. Zbl 1453.37086Ma, Manjun; Peng, Rui; Wang, Zhian 3 2020 Emergence of phase concentration for the Kuramoto-Sakaguchi equation. Zbl 1453.34075Ha, Seung-Yeal; Kim, Young-Heon; Morales, Javier; Park, Jinyeong 3 2020 Travelling waves for reaction-diffusion equations forced by translation invariant noise. Zbl 1453.35202Hamster, C. H. S.; Hupkes, H. J. 2 2020 Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis. Zbl 1453.76179Giannakis, Dimitrios; Das, Suddhasattwa 1 2020 Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation. Zbl 1453.65260Singh, Mehakpreet; Matsoukas, Themis; Walker, Gavin 1 2020 Dispersive shocks in quantum hydrodynamics with viscosity. Zbl 1453.76233Lattanzio, Corrado; Marcati, Pierangelo; Zhelyazov, Delyan 1 2020 Correlations in area preserving maps: a Shannon entropy approach. Zbl 1453.37007Cincotta, P. M.; Shevchenko, I. I. 1 2020 Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation. Zbl 1453.37066Mu, Gui; Qin, Zhenyun; Grimshaw, Roger; Akhmediev, Nail 1 2020 Symmetry broken states in an ensemble of globally coupled pendulums. Zbl 1453.34051Bolotov, Maxim I.; Munyaev, Vyacheslav O.; Smirnov, Lev A.; Hramov, Alexander E. 1 2020 Bifurcations from a center at infinity in 3D piecewise linear systems with two zones. Zbl 1453.34057Freire, Emilio; Ordóñez, Manuel; Ponce, Enrique 1 2020 Autoresonance in weakly dissipative Klein-Gordon chains. Zbl 1453.34053Kovaleva, Agnessa 1 2020 Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on \(\mathbb{R}^N\). Zbl 1453.35008Zhao, Wenqiang; Zhang, Yijin; Chen, Shangjie 1 2020 A proof of Euzébio-Pazim-Ponce’s conjectures for a degenerate planar piecewise linear differential system with three zones. Zbl 1453.34056Chen, Hebai; Tang, Yilei 1 2020 Nested mixed-mode oscillations. Zbl 1453.34070Inaba, Naohiko; Kousaka, Takuji 1 2020 A note on the existence of pure gravity waves at the interface of two fluids. Zbl 1453.76024Maklakov, D. V. 1 2020 Inverse problem on conservation laws. Zbl 1453.35192Popovych, Roman O.; Bihlo, Alexander 1 2020 A comparison of two- and three-dimensional single-mode reshocked Richtmyer-Meshkov instability growth. Zbl 1453.76133Latini, Marco; Schilling, Oleg 1 2020 At most two limit cycles in a piecewise linear differential system with three zones and asymmetry. Zbl 1415.34041Chen, Hebai; Tang, Yilei 5 2019 Micropolar meets Newtonian. The Rayleigh-Bénard problem. Zbl 1451.76057Kalita, Piotr; Langa, José A.; Łukaszewicz, Grzegorz 4 2019 Asymptotic behavior of a neural field lattice model with a heaviside operator. Zbl 1448.82025Han, Xiaoying; Kloeden, Peter E. 3 2019 Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology. Zbl 1453.92050McCue, Scott W.; Jin, Wang; Moroney, Timothy J.; Lo, Kai-Yin; Chou, Shih-En; Simpson, Matthew J. 3 2019 Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole. Zbl 1453.37063Zhang, Yongshuai; Rao, Jiguang; Cheng, Yi; He, Jingsong 3 2019 Periodic oscillations in age-structured ratio-dependent predator-prey model with Michaelis-Menten type functional response. Zbl 1448.34137Zhang, Xiangming; Liu, Zhihua 2 2019 On the dynamical stability and instability of parker problem. Zbl 1451.76053Jiang, Fei; Jiang, Song 2 2019 Asymptotic models for free boundary flow in porous media. Zbl 1451.76120Granero-Belinchón, Rafael; Scrobogna, Stefano 2 2019 (INVITED) Reaction-diffusion waves in cardiovascular diseases. Zbl 1453.92142Panfilov, A. V.; Dierckx, H.; Volpert, V. 2 2019 On the symmetry properties of a random passive scalar with and without boundaries, and their connection between hot and cold states. Zbl 1453.60116Camassa, Roberto; Kilic, Zeliha; McLaughlin, Richard M. 2 2019 Generalized dimensions, large deviations and the distribution of rare events. Zbl 1453.37008Caby, Théophile; Faranda, Davide; Mantica, Giorgio; Vaienti, Sandro; Yiou, Pascal 2 2019 Discrete dynamical stabilization of a naturally diverging mass in a harmonically time-varying potential. Zbl 1415.70037Lazarus, Arnaud 1 2019 On the representations and \(\mathbb{Z}_2\)-equivariant normal form for solenoidal Hopf-zero singularities. Zbl 1415.37070Mokhtari, Fahimeh 1 2019 Navier-Stokes equations on the \(\beta\)-plane: determining modes and nodes. Zbl 1415.76732Miyajima, N.; Wirosoetisno, D. 1 2019 Effects of passive hydrodynamics force on harmonic and chaotic oscillations in nonlinear chemical dynamics. Zbl 1415.92219Olabodé, D. L.; Miwadinou, C. H.; Monwanou, V. A.; Chabi Orou, J. B. 1 2019 On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties. Zbl 1448.37081Durán, Angel; Dutykh, Denys; Mitsotakis, Dimitrios 1 2019 The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space. Zbl 1448.34096Bastiaansen, Robbin; Doelman, Arjen 1 2019 Ground-state patterns and phase diagram of spin-1 Bose-Einstein condensates in uniform magnetic field. Zbl 1448.82065Chern, I-Liang; Chou, Chiu-Fen; Shieh, Tien-Tsan 1 2019 Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain. Zbl 1448.35011Li, Shenghao; Chen, Min; Zhang, Bingyu 1 2019 The steady-state lifting bifurcation problem associated with the valency on networks. Zbl 1448.05081Aguiar, Manuela A. D.; Dias, Ana P. S.; Soares, Pedro 1 2019 Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation. Zbl 1448.37089Xu, Tao; Lan, Sha; Li, Min; Li, Ling-Ling; Zhang, Guo-Wei 1 2019 Nonlinear diffusion models for gravitational wave turbulence. Zbl 1448.83006Galtier, Sébastien; Nazarenko, Sergey V.; Buchlin, Éric; Thalabard, Simon 1 2019 Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results. Zbl 1451.76132Ruan, Lizhi; Trakhinin, Yuri 1 2019 On the modeling of equatorial shallow-water waves with the Coriolis effect. Zbl 1451.35004Hu, Tianqiao; Liu, Yue 1 2019 \(S^1\) attractor bifurcation analysis for an electrically conducting fluid flow between two rotating cylinders. Zbl 1451.76144Liu, Ruikuan; Wang, Quan 1 2019 Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model. Zbl 1451.35074Liu, Jian-Guo; Lu, Jianfeng; Margetis, Dionisios; Marzuola, Jeremy L. 1 2019 Existence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditions. Zbl 1451.76106Melinand, Benjamin; Zumbrun, Kevin 1 2019 Polynomial mixing under a certain stationary Euler flow. Zbl 1451.76035Crippa, Gianluca; Lucà, Renato; Schulze, Christian 1 2019 A projector-based convergence proof of the Ginelli algorithm for covariant Lyapunov vectors. Zbl 1451.37010Noethen, Florian 1 2019 Blow-up dynamics in the mass super-critical NLS equations. Zbl 1451.35035Yang, Kai; Roudenko, Svetlana; Zhao, Yanxiang 1 2019 Hamiltonian systems with Lévy noise: symplecticity, Hamilton’s principle and averaging principle. Zbl 1453.60110Wei, Pingyuan; Chao, Ying; Duan, Jinqiao 1 2019 Phase distribution control of a population of oscillators. Zbl 1453.92059Monga, Bharat; Moehlis, Jeff 1 2019 Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media. Zbl 1453.35118Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi 1 2019 On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D. Zbl 1453.35131Georgiev, Vladimir; Li, Chunhua 1 2019 Three-dimensional map for a piecewise-linear capsule system with bidirectional drifts. Zbl 1453.70010Guo, Bingyong; Liu, Yang 1 2019 Competition and complexity in amphiphilic polymer morphology. Zbl 1453.82096Christlieb, Andrew; Kraitzman, Noa; Promislow, Keith 1 2019 Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system. Zbl 1453.35027Bao, Weizhu; Ha, Seung-Yeal; Kim, Dohyun; Tang, Qinglin 1 2019 Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion. Zbl 1398.35164Doering, Charles R.; Wu, Jiahong; Zhao, Kun; Zheng, Xiaoming 22 2018 Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\). Zbl 1398.35157Shvydkoy, Roman; Tadmor, Eitan 20 2018 Pathwise upper semi-continuity of random pullback attractors along the time axis. Zbl 1392.37042Cui, Hongyong; Kloeden, Peter E.; Wu, Fuke 15 2018 Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146Xia, Baoqiang; Fokas, A. S. 14 2018 Longtime robustness of pullback random attractors for stochastic magneto-hydrodynamics equations. Zbl 1415.37073Wang, Shulin; Li, Yangrong 14 2018 Kink dynamics in a system of two coupled scalar fields in two space-time dimensions. Zbl 1380.35130Alonso-Izquierdo, A. 11 2018 Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305Crisan, Dan; Holm, Darryl D. 11 2018 Entire solutions originating from monotone fronts to the Allen-Cahn equation. Zbl 1404.35251Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu; Yao, Chih-Hong 10 2018 Generalized Lagrangian coherent structures. Zbl 1391.76002Balasuriya, Sanjeeva; Ouellette, Nicholas T.; Rypina, Irina I. 10 2018 Partially dissipative 2D Boussinesq equations with Navier type boundary conditions. Zbl 1398.35007Hu, Weiwei; Wang, Yanzhen; Wu, Jiahong; Xiao, Bei; Yuan, Jia 9 2018 Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006Constantin, Peter; Nguyen, Huy Quang 9 2018 Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions. Zbl 1381.35114Prinari, Barbara; Demontis, Francesco; Li, Sitai; Horikis, Theodoros P. 8 2018 The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities. Zbl 1392.35039Tzou, J. C.; Ward, M. J. 8 2018 Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics. Zbl 1381.35014Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 7 2018 Wave propagation in a strongly nonlinear locally resonant granular crystal. Zbl 1380.74024Vorotnikov, K.; Starosvetsky, Y.; Theocharis, G.; Kevrekidis, P. G. 7 2018 Initiation of reaction-diffusion waves of blood coagulation. Zbl 1398.35117Galochkina, T.; Marion, M.; Volpert, V. 7 2018 Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise. Zbl 1375.34078Płociniczak, Łukasz; Świtała, Mateusz 6 2018 The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi 6 2018 On 3D Navier-Stokes equations: regularization and uniqueness by delays. Zbl 1398.76031Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuß, Björn 6 2018 Statistical solutions and Onsager’s conjecture. Zbl 1398.35153Fjordholm, U. S.; Wiedemann, E. 6 2018 Patterns and coherence resonance in the stochastic Swift-Hohenberg equation with Pyragas control: the Turing bifurcation case. Zbl 1380.93230Kuske, R.; Lee, C. Y.; Rottschäfer, V. 5 2018 Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\). Zbl 1398.76193Jiu, Quansen; Wang, Yi; Xin, Zhouping 5 2018 Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162Cheskidov, Alexey; Dai, Mimi 5 2018 Travelling waves and their bifurcations in the Lorenz-96 model. Zbl 1380.37103van Kekem, Dirk L.; Sterk, Alef E. 4 2018 Traveling fronts for lattice neural field equations. Zbl 1404.35083Faye, Grégory 4 2018 Data assimilation using noisy time-averaged measurements. Zbl 1398.93119Blocher, Jordan; Martinez, Vincent R.; Olson, Eric 4 2018 The role of BKM-type theorems in \(3D\) Euler, Navier-Stokes and Cahn-Hilliard-Navier-Stokes analysis. Zbl 1398.76033Gibbon, John D.; Gupta, Anupam; Pal, Nairita; Pandit, Rahul 4 2018 Scale-free behavior of networks with the copresence of preferential and uniform attachment rules. Zbl 1390.90140Pachon, Angelica; Sacerdote, Laura; Yang, Shuyi 4 2018 Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem. Zbl 1392.70004Guzzo, Massimiliano; Lega, Elena 4 2018 Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. Zbl 1415.76769Jin, Shi; Tran, Minh-Binh 4 2018 An ordered line integral method for computing the quasi-potential in the case of variable anisotropic diffusion. Zbl 1415.65017Dahiya, Daisy; Cameron, Maria 4 2018 A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation. Zbl 1375.34125Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C. 3 2018 Interaction of non-radially symmetric camphor particles. Zbl 1381.70018Ei, Shin-Ichiro; Kitahata, Hiroyuki; Koyano, Yuki; Nagayama, Masaharu 3 2018 Poisson-Nernst-Planck equations with steric effects – non-convexity and multiple stationary solutions. Zbl 1381.35187Gavish, Nir 3 2018 KdV equation beyond standard assumptions on initial data. Zbl 1380.35138Rybkin, Alexei 3 2018 On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice. Zbl 1390.37125Penati, T.; Sansottera, M.; Paleari, S.; Koukouloyannis, V.; Kevrekidis, P. G. 3 2018 On the classification of the spectrally stable standing waves of the Hartree problem. Zbl 1390.81147Georgiev, Vladimir; Stefanov, Atanas 3 2018 Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon 3 2018 Asymptotically exact codimension-four dynamics and bifurcations in two-dimensional thermosolutal convection at high thermal Rayleigh number: chaos from a quasi-periodic homoclinic explosion and quasi-periodic intermittency. Zbl 1415.37046Eilertsen, Justin S.; Magnan, Jerry F. 3 2018 4-wave dynamics in kinetic wave turbulence. Zbl 1386.82051Chibbaro, Sergio; Dematteis, Giovanni; Rondoni, Lamberto 2 2018 Phase models and clustering in networks of oscillators with delayed coupling. Zbl 1375.34059Campbell, Sue Ann; Wang, Zhen 2 2018 Decay of Kadomtsev-Petviashvili lumps in dissipative media. Zbl 1381.35010Clarke, S.; Gorshkov, K.; Grimshaw, R.; Stepanyants, Y. 2 2018 Synchronisation under shocks: the Lévy Kuramoto model. Zbl 1381.34054Roberts, Dale; Kalloniatis, Alexander C. 2 2018 ...and 1495 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 38,399 Authors 144 Cao, Jinde 122 Ha, Seung-Yeal 110 Chen, Guanrong 98 Guo, Boling 92 Llibre, Jaume 91 Kurths, Jürgen 87 Huang, Lihong 86 Wazwaz, Abdul-Majid Abdul-Rahman 85 Wei, Juncheng 84 Titi, Edriss Saleh 74 Liao, Xiaofeng 74 Yin, Zhaoyang 70 Majda, Andrew J. 67 Pelinovsky, Dmitry Efimovich 66 Haller, George 65 Marsden, Jerrold Eldon 64 Knobloch, Edgar 64 Zumbrun, Kevin R. 63 Temam, Roger Meyer 62 Holm, Darryl D. 60 Kevrekidis, Panayotis G. 58 Carrillo de la Plata, José Antonio 58 Xu, Wei 57 Qu, Changzheng 56 Wang, Xingyuan 54 Ashwin, Peter 54 Liu, Yue 52 Miranville, Alain M. 52 Wei, Junjie 50 Aihara, Kazuyuki 50 Pham, Viet-Thanh 50 Xu, Jian 50 Zhang, Wei 49 Gardini, Laura 49 Ma, Wen-Xiu 48 Geng, Xianguo 48 Jafari, Sajad 48 Mezić, Igor 47 Malomed, Boris A. 47 Mu, Chunlai 46 Calogero, Francesco A. 46 Sprott, Julien Clinton 46 Wang, Bixiang 46 Zhou, Shengfan 45 de la Llave, Rafael 44 Li, Jibin 44 Meiss, James D. 43 Bollt, Erik M. 43 Kapitaniak, Tomasz 42 Fan, Engui 42 Pikovsky, Arkady S. 42 Ward, Michael J. 41 Liu, Zengrong 41 MacKay, Robert Sinclair 41 Small, Michael 40 Grimshaw, Roger Hamilton James 40 Qiao, Zhijun 40 Wiggins, Stephen 39 Grebogi, Celso 39 Guo, Shangjiang 39 Jiang, Haijun 39 Kevrekidis, Ioannis George 39 Kudryashov, Nikolaĭ Alekseevich 38 Li, Chuandong 38 Wei, Zhouchao 38 Yorke, James Alan 37 Gao, Hongjun 37 Grammaticos, Basil 36 Ablowitz, Mark Jay 36 Crutchfield, James P. 36 Foiaş, Ciprian Ilie 36 Ramani, Alfred 36 Sanjuán, Miguel A. 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