## Physica D

### Nonlinear Phenomena

 Short Title: Physica D Publisher: Elsevier (North-Holland), Amsterdam ISSN: 0167-2789 Online: http://www.sciencedirect.com/science/journal/01672789
 Documents Indexed: 7,098 Publications (since 1980) References Indexed: 6,947 Publications with 204,855 References.
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### Authors

 59 Malomed, Boris A. 41 Kevrekidis, Panayotis G. 37 Knobloch, Edgar 34 Ott, Edward 31 MacKay, Robert Sinclair 31 Newell, Alan C. 30 Kaneko, Kunihiko 27 Yorke, James Alan 26 Holm, Darryl Dallas 26 Meiss, James D. 24 Holmes, Philip J. 24 Zakharov, Vladimir Evgen’evich 23 Nepomnyashchy, Alexander A. 23 Pikovsky, Arkady S. 23 Wiggins, Stephen 20 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 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 Gibbon, John D. 16 Kevrekidis, Ioannis George 16 Mezić, Igor 16 Riecke, Hermann 16 Swinney, Harry L. 16 Vivaldi, Franco 16 Wei, Juncheng 15 Chaté, Hugues 15 Dullin, Holger R. 15 Fibich, Gadi 15 Haken, Hermann 15 Percival, Ian C. 15 Simó, Carles 14 Ablowitz, Mark Jay 14 Christiansen, Peter Leth 14 Kaup, David J. 14 Llibre, Jaume 14 McLaughlin, David W. 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 Miller, Peter D. 13 Moloney, Jerome V. 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 Cuevas Maraver, Jesús 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 Titi, Edriss Saleh 11 Aihara, Kazuyuki 11 Aurich, Ralf 11 Doelman, Arjen 11 Foiaş, Ciprian Ilie 11 Forest, Mark Gregory 11 Inaba, Naohiko 11 Moroz, Irene M. 11 Mosekilde, Erik 11 Pomeau, Yves 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. 10 Constantin, Peter 10 Deconinck, Bernard 10 Duan, Jinqiao 10 Eyink, Gregory L. 10 Fokas, Athanassios S. ...and 8,994 more Authors
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### Fields

 2,790 Dynamical systems and ergodic theory (37-XX) 2,153 Partial differential equations (35-XX) 1,681 Fluid mechanics (76-XX) 880 Ordinary differential equations (34-XX) 856 Statistical mechanics, structure of matter (82-XX) 807 Biology and other natural sciences (92-XX) 495 Mechanics of particles and systems (70-XX) 385 Quantum theory (81-XX) 355 Numerical analysis (65-XX) 348 Optics, electromagnetic theory (78-XX) 255 Computer science (68-XX) 239 Probability theory and stochastic processes (60-XX) 239 Mechanics of deformable solids (74-XX) 218 Systems theory; control (93-XX) 216 Classical thermodynamics, heat transfer (80-XX) 168 Geophysics (86-XX) 152 Global analysis, analysis on manifolds (58-XX) 150 Statistics (62-XX) 145 Information and communication theory, circuits (94-XX) 81 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 78 Difference and functional equations (39-XX) 60 Operations research, mathematical programming (90-XX) 56 Integral equations (45-XX) 51 Astronomy and astrophysics (85-XX) 49 Combinatorics (05-XX) 47 Differential geometry (53-XX) 42 General and overarching topics; collections (00-XX) 39 Measure and integration (28-XX) 36 Real functions (26-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 31 Operator theory (47-XX) 28 Relativity and gravitational theory (83-XX) 21 Functions of a complex variable (30-XX) 20 Number theory (11-XX) 18 Algebraic geometry (14-XX) 18 Special functions (33-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 General topology (54-XX) 15 Nonassociative rings and algebras (17-XX) 15 Manifolds and cell complexes (57-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Algebraic topology (55-XX) 10 History and biography (01-XX) 10 Topological groups, Lie groups (22-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Approximations and expansions (41-XX) 7 Convex and discrete geometry (52-XX) 5 Functional analysis (46-XX) 4 Mathematical logic and foundations (03-XX) 4 Category theory; homological algebra (18-XX) 4 Integral transforms, operational calculus (44-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-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)

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Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022
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Extracting qualitative dynamics from experimental data. Zbl 0603.58040
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Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052
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Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
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An overview of Rayleigh-Taylor instability. Zbl 0577.76047
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The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026
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A simple global characterization for normal forms of singular vector fields. Zbl 0633.58020
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New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031
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Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554
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Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059
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Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
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Strange attractors that are not chaotic. Zbl 0588.58036
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Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
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2005
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
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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
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1983
Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010
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1993
Transport in Hamiltonian systems. Zbl 0585.58039
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1984
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
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1996
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
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1989
Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165
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2000
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
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2000
Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602
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1988
Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310
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Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
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2000
Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type. Zbl 0571.35100
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1982
Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069
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1997
Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model. Zbl 1238.34102
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2012
Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026
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2011
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Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520
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2004
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
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1997
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
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1994
New applications of variational iteration method. Zbl 1084.35539
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2005
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
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Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118
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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
2004
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027
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1988
Fourth-order symplectic integration. Zbl 0713.65044
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1990
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
1994
Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081
Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning
2007
Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079
Guo, Shangjiang; Huang, Lihong
2003
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.
2007
The Camassa-Holm equations and turbulence. Zbl 1194.76069
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1999
Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation. Zbl 0755.35118
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1992
Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507
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1997
Thermodynamically-consistent phase-field models for solidification. Zbl 0791.35159
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1993
Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621
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2004
A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028
d’Onofrio, Alberto
2005
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
1993
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
1982
Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017
Clarkson, Peter A.; Mansfield, Elizabeth L.
1994
Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030
Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S.
1990
Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002
Wang, Lin; Zou, Xingfu
2002
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Zbl 0984.92502
2001
A variational theory of hyperbolic Lagrangian coherent structures. Zbl 1214.37056
Haller, George
2011
Integrable equations arising from motions of plane curves. Zbl 0987.35139
Chou, Kaiseng; Qu, Changzheng
2002
An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060
Xu, Yong; Duan, Jinqiao; Xu, Wei
2011
Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139
2001
Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies. Zbl 1487.35270
Ma, Wen-Xiu
2022
Kadomtsev-Petviashvili equation: one-constraint method and lump pattern. Zbl 1484.35121
Dong, Jieyang; Ling, Liming; Zhang, Xiaoen
2022
Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method. Zbl 07487485
Senyange, B.; Skokos, Ch.
2022
Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials. Zbl 1486.85018
Patsis, P. A.; Manos, T.; Chaves-Velasquez, L.; Skokos, Ch.; Puerari, I.
2022
Nanoptera in nonlinear woodpile chains with zero precompression. Zbl 1490.76223
Deng, G.; Lustri, C. J.
2022
Reversibility of number-conserving 1D cellular automata: unlocking insights into the dynamics for larger state sets. Zbl 07479417
Wolnik, Barbara; Dziemiańczuk, Maciej; Dzedzej, Adam; De Baets, Bernard
2022
Suppression of singularities of solutions of the Euler-Poisson system with density-dependent damping. Zbl 07479419
Rozanova, Olga S.
2022
Integrability, conservation laws and solitons of a many-body dynamical system associated with the half-wave maps equation. Zbl 07479425
Matsuno, Yoshimasa
2022
Solution landscape of the Onsager model identifies non-axisymmetric critical points. Zbl 07479426
Yin, Jianyuan; Zhang, Lei; Zhang, Pingwen
2022
Higher-dimensional soliton generation, stability and excitations of the $$\mathcal{PT}$$-symmetric nonlinear Schrödinger equations. Zbl 1490.35401
Chen, Yong; Yan, Zhenya; Malomed, Boris A.
2022
Anomalous diffusion in single and coupled standard maps with extensive chaotic phase spaces. Zbl 07487468
Moges, Henok Tenaw; Manos, Thanos; Skokos, Charalampos
2022
Progress, gaps and obstacles in the classification of cellular automata. Zbl 07487477
Vispoel, Milan; Daly, Aisling J.; Baetens, Jan M.
2022
Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: asymptotic analysis and emergence of rogue waves. Zbl 1484.35137
Zhang, Shan-Shan; Xu, Tao; Li, Min; Zhang, Xue-Feng
2022
Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system. Zbl 1484.35132
Sheng, Han-Han; Yu, Guo-Fu
2022
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any $$n$$-component nonlinear Schrödinger equation with mixed boundary conditions. Zbl 1490.35459
Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya
2022
Comparing the dynamics of COVID-19 infection and mortality in the United States, India, and Brazil. Zbl 1486.92237
James, Nick; Menzies, Max; Bondell, Howard
2022
Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions. Zbl 1487.35272
Yang, Jin-Jie; Tian, Shou-Fu; Li, Zhi-Qiang
2022
Multi-component universal character hierarchy and its polynomial tau-functions. Zbl 1483.14060
Li, Chuanzhong
2022
Bilinear equations in Darboux transformations by boson-fermion correspondence. Zbl 1486.81178
Yang, Yi; Cheng, Jipeng
2022
Regions without invariant tori of given class for the planar circular restricted three-body problem. Zbl 07529687
Kallinikos, N.; MacKay, R. S.; Syndercombe, T.
2022
A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093
Geng, Xianguo; Li, Ruomeng; Xue, Bo
2022
$$N$$-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm. Zbl 1491.35307
Peng, Wei-Qi; Chen, Yong
2022
The nature of reactive and non-reactive trajectories for a three dimensional caldera potential energy surface. Zbl 07529715
Katsanikas, M.; Wiggins, S.
2022
The numerical search for the internal dynamics of NHIMs and their pictorial representation. Zbl 07548979
Gonzalez Montoya, Francisco; Jung, Christof
2022
Poisson brackets and truncations in nonlinear reduced fluid models for plasmas. Zbl 07548984
Tassi, E.
2022
Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems. Zbl 07579755
Rao, Jiguang; Kanna, T.; Mihalache, Dumitru; He, Jingsong
2022
Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy. Zbl 1491.37062
Yang, Bo; Yang, Jianke
2021
Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation. Zbl 1484.35124
Guo, Lijuan; Chabchoub, Amin; He, Jingsong
2021
Rogue wave patterns in the nonlinear Schrödinger equation. Zbl 07479450
Yang, Bo; Yang, Jianke
2021
Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales. Zbl 1491.76030
Zhou, Ye; Williams, Robin J. R.; Ramaprabhu, Praveen; Groom, Michael; Thornber, Ben; Hillier, Andrew; Mostert, Wouter; Rollin, Bertrand; Balachandar, S.; Powell, Phillip D.; Mahalov, Alex; Attal, N.
2021
A simple but complex enough $$\theta$$-SIR type model to be used with COVID-19 real data. Application to the case of Italy. Zbl 07477839
Ramos, A. M.; Ferrández, M. R.; Vela-Pérez, M.; Kubik, A. B.; Ivorra, B.
2021
Explicit formulae for the peak time of an epidemic from the SIR model. Zbl 1485.92161
Turkyilmazoglu, Mustafa
2021
The robust inverse scattering method for focusing Ablowitz-Ladik equation on the non-vanishing background. Zbl 1486.81160
Chen, Yiren; Feng, Bao-Feng; Ling, Liming
2021
Birkhoff averages and the breakdown of invariant tori in volume-preserving maps. Zbl 1491.37076
Meiss, J. D.; Sander, E.
2021
The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts. Zbl 1491.37019
Ercolani, Nicholas M.; Ramalheira-Tsu, Jonathan
2021
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada-Kotera equation. Zbl 1484.35136
Yin, Zhe-Yong; Tian, Shou-Fu
2021
Rational vector rogue waves for the $$n$$-component Hirota equation with non-zero backgrounds. Zbl 1483.78005
Weng, Weifang; Zhang, Guoqiang; Wang, Li; Zhang, Minghe; Yan, Zhenya
2021
Emergent behaviors of relativistic flocks on Riemannian manifolds. Zbl 1491.37077
Ahn, Hyunjin; Ha, Seung-Yeal; Kang, Myeongju; Shim, Woojoo
2021
Controlling reaction dynamics in chemical model systems through external driving. Zbl 1485.92182
Reiff, Johannes; Bardakcioglu, Robin; Feldmaier, Matthias; Main, Jörg; Hernandez, Rigoberto
2021
Tensor-based computation of metastable and coherent sets. Zbl 1486.65045
Nüske, Feliks; Gelß, Patrick; Klus, Stefan; Clementi, Cecilia
2021
Learning dynamical systems from data: a simple cross-validation perspective. I: Parametric kernel flows. Zbl 07477838
2021
Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation. Zbl 1490.35441
Parker, Ross; Aceves, Alejandro
2021
Epidemic models with discrete state structures. Zbl 1485.92141
Liu, Suli; Li, Michael Y.
2021
Supervised learning from noisy observations: combining machine-learning techniques with data assimilation. Zbl 07477859
Gottwald, Georg A.; Reich, Sebastian
2021
Dynamic coupling in small-world outer synchronization of chaotic networks. Zbl 1491.37083
Arellano-Delgado, A.; López-Gutiérrez, R. M.; Méndez-Ramírez, R.; Cardoza-Avendaño, L.; Cruz-Hernández, C.
2021
A novel antimonotic hyperjerk system: analysis, synchronization and circuit design. Zbl 1491.37084
Zambrano-Serrano, Ernesto; Anzo-Hernández, Andrés
2021
Evolutionary dynamics of cooperation in the $$N$$-person stag hunt game. Zbl 1485.91025
Luo, Qin; Liu, Linjie; Chen, Xiaojie
2021
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits. Zbl 1491.37029
Kvalheim, Matthew D.; Revzen, Shai
2021
Explicit formulae for the peak time of an epidemic from the SIR model. Which approximant to use? Zbl 1482.92102
Kröger, Martin; Turkyilmazoglu, Mustafa; Schlickeiser, Reinhard
2021
Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation. Zbl 1487.35057
Di, Huafei; Li, Ji; Liu, Yue
2021
Travelling wave analysis of cellular invasion into surrounding tissues. Zbl 1482.92034
El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J.
2021
On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves. Zbl 07479402
Dougalis, Vassilios A.; Durán, Angel; Saridaki, Leetha
2021
Pattern formation in hyperbolic models with cross-diffusion: theory and applications. Zbl 1484.35038
Currò, C.; Valenti, G.
2021
Large speed traveling waves for the Rosenzweig-MacArthur predator-prey model with spatial diffusion. Zbl 07491124
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre
2021
Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics. Zbl 07493965
Ha, Seung-Yeal; Kim, Dohyun; Park, Hansol; Ryoo, Sang Woo
2021
A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise. Zbl 07493986
Li, Yang; Duan, Jinqiao
2021
Deep regularization and direct training of the inner layers of neural networks with kernel flows. Zbl 07477782
2021
Actively deforming porous media in an incompressible fluid: a variational approach. Zbl 07477786
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang
2021
Recovery of the nearest potential field from the $$m$$ observed eigenvalues. Zbl 07477787
Ilyasov, Yavdat; Valeev, Nur
2021
Arnold web and dynamical tunneling in a four-site Bose-Hubbard model. Zbl 1486.81114
Karmakar, Sourav; Keshavamurthy, Srihari
2021
Symmetry & critical points for a model shallow neural network. Zbl 1491.37049
Arjevani, Yossi; Field, Michael
2021
Hamiltonian chaos and differential geometry of configuration space-time. Zbl 1491.37053
Di Cairano, Loris; Gori, Matteo; Pettini, Giulio; Pettini, Marco
2021
Two relaxation times and thermal nonlinear waves along wires with lateral heat exchange. Zbl 1489.80004
Sciacca, Michele
2021
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation. Zbl 07477861
Klein, Christian; Roudenko, Svetlana; Stoilov, Nikola
2021
Isometries of the hypercube: a tool for Boolean regulatory networks analysis. Zbl 1491.37040
Fabre-Monplaisir, Jean; Mossé, Brigitte; Remy, Élisabeth
2021
Topological dynamics of volume-preserving maps without an equatorial heteroclinic curve. Zbl 1491.37072
Arenson, Joshua G.; Mitchell, Kevin A.
2021
The quantum canonical ensemble in phase space. Zbl 07477882
Ozorio de Almeida, Alfredo M.; Ingold, Gert-Ludwig; Brodier, Olivier
2021
Persisting asymmetry in the probability distribution function for a random advection-diffusion equation in impermeable channels. Zbl 1491.76071
Camassa, Roberto; Ding, Lingyun; Kilic, Zeliha; McLaughlin, Richard M.
2021
About the robustness of 1d cellular automata revising their temporal entropy. Zbl 1491.37020
Roth, Tim Otto
2021
Algorithms of data generation for deep learning and feedback design: a survey. Zbl 07477888
Kang, Wei; Gong, Qi; Nakamura-Zimmerer, Tenavi; Fahroo, Fariba
2021
Trends in COVID-19 prevalence and mortality: a year in review. Zbl 1490.92091
James, Nick; Menzies, Max
2021
Multi-soliton solutions of KP equation with integrable boundary via $$\overline{\partial}$$-dressing method. Zbl 1484.35122
Dubrovsky, V. G.; Topovsky, A. V.
2021
Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of ‘self-steepening’ nonlinearity. Zbl 1491.76034
Yin, H. M.; Chow, K. W.
2021
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning. Zbl 1484.35134
Wang, Li; Yan, Zhenya
2021
An algorithm for computing phase space structures in chemical reaction dynamics using Voronoi tessellation. Zbl 1490.92132
Mizuno, Yuta; Takigawa, Mikoto; Miyashita, Saki; Nagahata, Yutaka; Teramoto, Hiroshi; Komatsuzaki, Tamiki
2021
Effect of random fluctuations on minimizing the complexity of universal asynchronous cellular automata. Zbl 07479403
Fei, Li-Juan; Lee, Jia; Huang, Xin; Peper, Ferdinand
2021
Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: derivations and computations. Zbl 1483.76063
Gao, Yuan; Liu, Jian-Guo
2021
Asymptotic expansions for a degenerate canard explosion. Zbl 07479439
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
2021
On stochastic mirror descent with interacting particles: convergence properties and variance reduction. Zbl 07479442
Borovykh, A.; Kantas, N.; Parpas, P.; Pavliotis, G. A.
2021
The structure of algebraic solitons and compactons in the generalized Korteweg-de Vries equation. Zbl 07479447
Pelinovsky, Efim; Talipova, Tatiana; Soomere, Tarmo
2021
Order and chaos in time periodic Hamiltonian systems. Zbl 1491.37058
Tzemos, A. C.; Contopoulos, G.
2021
Mechanisms of stationary converted waves and their complexes in the multi-component AB system. Zbl 07479449
Zhang, Han-Song; Wang, Lei; Sun, Wen-Rong; Wang, Xin; Xu, Tao
2021
Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary. Zbl 07479455
Li, Tao; Llibre, Jaume
2021
Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem. Zbl 1489.82102
van den Berg, Jan Bouwe; Williams, J. F.
2021
Grassmannian flows and applications to non-commutative non-local and local integrable systems. Zbl 1485.35010
Doikou, Anastasia; Malham, Simon J. A.; Stylianidis, Ioannis
2021
Generating nonlinear codes for multi-bit symbol error correction using cellular automata. Zbl 07491134
Maiti, Swapan; Sengupta, Meghna; Roy Chowdhury, Dipanwita
2021
Suppressing birhythmicity by parametrically modulating nonlinearity in limit cycle oscillators. Zbl 07493968
Saha, Sandip; Chakraborty, Sagar; Gangopadhyay, Gautam
2021
Latent-space time evolution of non-intrusive reduced-order models using Gaussian process emulation. Zbl 07493969
Maulik, Romit; Botsas, Themistoklis; Ramachandra, Nesar; Mason, Lachlan R.; Pan, Indranil
2021
A geometric approach to bubbling. Zbl 07493974
Avrutin, Viktor; Bastian, Frank; Zhusubaliyev, Zhanybai T.
2021
Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions. Zbl 07493977
Yang, Yiling; Fan, Engui
2021
Hamiltonian classical thermodynamics and chemical kinetics. Zbl 1487.80002
Farantos, Stavros C.
2021
The Shannon entropy: an efficient indicator of dynamical stability. Zbl 07493982
Cincotta, Pablo M.; Giordano, Claudia M.; Alves Silva, Raphael; Beaugé, Cristián
2021
$$P T$$-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. Zbl 1453.37068
Rao, Jiguang; Cheng, Yi; Porsezian, Kuppuswamy; Mihalache, Dumitru; He, Jingsong
2020
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions. Zbl 1453.37069
Zhang, Guoqiang; Yan, Zhenya
2020
Stationary and non-stationary patterns of the density-suppressed motility model. Zbl 1453.37086
Ma, Manjun; Peng, Rui; Wang, Zhian
2020
Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161
Zhao, Peng; Fan, Engui
2020
Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability. Zbl 1490.35399
Chen, Jinbing; Pelinovsky, Dmitry E.; White, Robert E.
2020
Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. Zbl 07492621
Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
2020
Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation. Zbl 1453.37066
Mu, Gui; Qin, Zhenyun; Grimshaw, Roger; Akhmediev, Nail
2020
Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation. Zbl 1453.82045
Lustri, Christopher J.
2020
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### Cited by 42,388 Authors

 146 Cao, Jinde 142 Ha, Seung-Yeal 114 Chen, Guanrong 106 Guo, Boling 103 Llibre, Jaume 100 Kurths, Jürgen 93 Wazwaz, Abdul-Majid Abdul-Rahman 90 Huang, Lihong 89 Wei, Juncheng 88 Titi, Edriss Saleh 82 Yin, Zhaoyang 75 Liao, Xiaofeng 73 Pelinovsky, Dmitry Efimovich 70 Majda, Andrew J. 67 Haller, George 67 Kevrekidis, Panayotis G. 66 Marsden, Jerrold Eldon 65 Jafari, Sajad 65 Wang, Xingyuan 65 Xu, Wei 65 Zumbrun, Kevin R. 64 Holm, Darryl Dallas 64 Knobloch, Edgar 63 Temam, Roger Meyer 62 Carrillo de la Plata, José Antonio 60 Liu, Yue 60 Qu, Changzheng 57 Miranville, Alain M. 56 Geng, Xianguo 55 Ashwin, Peter 55 Fan, Engui 54 Malomed, Boris A. 54 Xu, Jian 53 Pham, Viet-Thanh 53 Wang, Bixiang 52 Gardini, Laura 52 Ma, Wen-Xiu 52 Wei, Junjie 52 Zhang, Wei 51 Mu, Chunlai 50 Aihara, Kazuyuki 50 de la Llave, Rafael 50 Mezić, Igor 49 Zhou, Shengfan 47 Meiss, James D. 47 Sprott, Julien Clinton 46 Calogero, Francesco A. 45 Grebogi, Celso 45 Kapitaniak, Tomasz 45 Li, Jibin 45 Pikovsky, Arkady S. 44 Qiao, Zhijun 44 Wiggins, Stephen 43 Bollt, Erik M. 43 Kudryashov, Nikolaĭ Alekseevich 43 MacKay, Robert Sinclair 43 Ward, Michael J. 42 Gao, Hongjun 42 Grimshaw, Roger Hamilton James 42 Guo, Shangjiang 42 Small, Michael 42 Yang, Xiaofeng 41 Caldas, Iberê L. 41 Jiang, Haijun 41 Liu, Zengrong 41 Valls Anglés, Cláudia 40 He, Jingsong 39 Kevrekidis, Ioannis George 39 Li, Chuandong 39 Sanjuán, Miguel A. F. 39 Wei, Zhouchao 38 Dehghan Takht Fooladi, Mehdi 38 Han, Maoan 38 Rajagopal, Karthikeyan 38 Sandstede, Björn 38 Yorke, James Alan 37 Ablowitz, Mark Jay 37 Grammaticos, Basil 37 Jolly, Michael S. 37 Sherratt, Jonathan A. 36 Crutchfield, James P. 36 Duan, Jinqiao 36 Foiaş, Ciprian Ilie 36 Osher, Stanley Joel 36 Ramani, Alfred 36 Tian, Lixin 36 Yang, Xiaosong 35 Colli, Pierluigi 35 Fokas, Athanassios S. 35 Froyland, Gary 35 Kolokolnikov, Theodore 35 Stewart, Ian Nicholas 34 Algaba, Antonio 34 Bertola, Marco 34 Bi, Qinsheng 34 Doering, Charles Rogers 34 Jiang, Weihua 34 Krauskopf, Bernd 34 Lakshmanan, Muthusamy 34 Letellier, Christophe ...and 42,288 more Authors
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### Cited in 1,031 Journals

 3,142 Physica D 1,772 Chaos 1,563 Chaos, Solitons and Fractals 1,496 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,246 Journal of Mathematical Physics 944 Journal of Differential Equations 930 Journal of Fluid Mechanics 848 Applied Mathematics and Computation 836 Journal of Computational Physics 794 Nonlinear Dynamics 782 Communications in Nonlinear Science and Numerical Simulation 749 Journal of Mathematical Analysis and Applications 674 Physics of Fluids 555 Journal of Statistical Physics 548 Communications in Mathematical Physics 425 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 418 Journal of Nonlinear Science 395 Physica A 380 Computers & Mathematics with Applications 380 Nonlinear Analysis. Real World Applications 345 Journal of Computational and Applied Mathematics 311 SIAM Journal on Applied Dynamical Systems 293 Archive for Rational Mechanics and Analysis 293 Discrete and Continuous Dynamical Systems 292 Discrete and Continuous Dynamical Systems. Series B 267 Nonlinearity 260 Theoretical and Mathematical Physics 259 Applied Mathematics Letters 258 Mathematical Problems in Engineering 247 Journal of Theoretical Biology 243 Journal of Scientific Computing 229 Computer Methods in Applied Mechanics and Engineering 224 Physics Letters. A 218 Journal of Dynamics and Differential Equations 216 Mathematics and Computers in Simulation 211 Applied Mathematical Modelling 210 Abstract and Applied Analysis 203 Journal of Nonlinear Mathematical Physics 201 Regular and Chaotic Dynamics 197 ZAMP. Zeitschrift für angewandte Mathematik und Physik 190 Celestial Mechanics and Dynamical Astronomy 188 Bulletin of Mathematical Biology 185 Mathematical Methods in the Applied Sciences 185 SIAM Journal on Mathematical Analysis 183 Journal of Mathematical Biology 182 Applicable Analysis 179 Advances in Difference Equations 172 Studies in Applied Mathematics 172 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 169 Applied Numerical Mathematics 168 Journal of Geometry and Physics 162 Journal of the Franklin Institute 161 Wave Motion 154 Journal of Mathematical Imaging and Vision 141 Mathematical and Computer Modelling 140 Automatica 133 Biological Cybernetics 133 Communications on Pure and Applied Analysis 131 European Journal of Mechanics. B. Fluids 131 SIAM Journal on Imaging Sciences 130 Letters in Mathematical Physics 129 Neural Networks 128 Discrete Dynamics in Nature and Society 127 Acta Applicandae Mathematicae 126 Computers and Fluids 123 Mathematical Biosciences 120 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 119 Journal of Functional Analysis 118 SIAM Journal on Scientific Computing 116 Neural Computation 114 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 113 Dynamical Systems 112 Transactions of the American Mathematical Society 110 International Journal of Modern Physics B 109 International Journal of Theoretical Physics 109 International Journal of Computer Mathematics 107 SIAM Journal on Applied Mathematics 107 Journal of Physics A: Mathematical and Theoretical 107 Discrete and Continuous Dynamical Systems. Series S 105 International Journal of Modern Physics C 104 Complexity 102 Communications in Partial Differential Equations 100 Acta Mathematicae Applicatae Sinica. English Series 98 Journal of Mathematical Sciences (New York) 96 Advances in Mathematics 96 Journal of Statistical Mechanics: Theory and Experiment 95 Nonlinear Analysis. Theory, Methods & Applications 94 Advances in Mathematical Physics 92 Proceedings of the American Mathematical Society 92 Journal of Mathematical Fluid Mechanics 91 Applied Mathematics and Mechanics. (English Edition) 88 Journal of Difference Equations and Applications 88 Journal of High Energy Physics 87 Calculus of Variations and Partial Differential Equations 86 Japan Journal of Industrial and Applied Mathematics 86 Qualitative Theory of Dynamical Systems 83 Journal of Engineering Mathematics 83 Theoretical Computer Science 83 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 81 Journal of Applied Mathematics ...and 931 more Journals
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### Cited in 63 Fields

 13,851 Partial differential equations (35-XX) 12,207 Dynamical systems and ergodic theory (37-XX) 7,606 Ordinary differential equations (34-XX) 7,513 Fluid mechanics (76-XX) 5,586 Biology and other natural sciences (92-XX) 4,897 Numerical analysis (65-XX) 3,057 Statistical mechanics, structure of matter (82-XX) 2,763 Systems theory; control (93-XX) 2,596 Mechanics of particles and systems (70-XX) 1,898 Computer science (68-XX) 1,886 Probability theory and stochastic processes (60-XX) 1,876 Information and communication theory, circuits (94-XX) 1,648 Mechanics of deformable solids (74-XX) 1,601 Quantum theory (81-XX) 1,075 Statistics (62-XX) 961 Calculus of variations and optimal control; optimization (49-XX) 806 Classical thermodynamics, heat transfer (80-XX) 801 Optics, electromagnetic theory (78-XX) 769 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 751 Operations research, mathematical programming (90-XX) 712 Geophysics (86-XX) 687 Operator theory (47-XX) 664 Difference and functional equations (39-XX) 619 Global analysis, analysis on manifolds (58-XX) 546 Differential geometry (53-XX) 438 Combinatorics (05-XX) 398 Real functions (26-XX) 390 Measure and integration (28-XX) 353 Integral equations (45-XX) 328 Special functions (33-XX) 309 Algebraic geometry (14-XX) 294 Linear and multilinear algebra; matrix theory (15-XX) 266 Harmonic analysis on Euclidean spaces (42-XX) 252 Nonassociative rings and algebras (17-XX) 251 Relativity and gravitational theory (83-XX) 220 Functions of a complex variable (30-XX) 177 Functional analysis (46-XX) 151 Number theory (11-XX) 145 Astronomy and astrophysics (85-XX) 140 Approximations and expansions (41-XX) 116 Topological groups, Lie groups (22-XX) 96 General topology (54-XX) 90 General and overarching topics; collections (00-XX) 85 Several complex variables and analytic spaces (32-XX) 82 Manifolds and cell complexes (57-XX) 69 Integral transforms, operational calculus (44-XX) 68 History and biography (01-XX) 65 Group theory and generalizations (20-XX) 65 Convex and discrete geometry (52-XX) 60 Algebraic topology (55-XX) 55 Potential theory (31-XX) 54 Mathematical logic and foundations (03-XX) 50 Associative rings and algebras (16-XX) 47 Commutative algebra (13-XX) 32 Order, lattices, ordered algebraic structures (06-XX) 30 Field theory and polynomials (12-XX) 16 Geometry (51-XX) 14 Mathematics education (97-XX) 9 Category theory; homological algebra (18-XX) 8 Sequences, series, summability (40-XX) 8 Abstract harmonic analysis (43-XX) 3 General algebraic systems (08-XX) 3 $$K$$-theory (19-XX)