## 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: 7,053 Publications (since 1980) References Indexed: 6,849 Publications with 201,075 References.
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### Latest Issues

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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 D. 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 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 Kevrekidis, Ioannis George 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 Keener, James P. 12 Lichtenberg, Allan J. 12 Sakaguchi, Hidetsugu 12 Small, Michael 12 Tabor, Michael 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 Thiffeault, Jean-Luc 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. 10 Frantzeskakis, Dimitri J. ...and 8,927 more Authors
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### Fields

 2,776 Dynamical systems and ergodic theory (37-XX) 2,142 Partial differential equations (35-XX) 1,670 Fluid mechanics (76-XX) 868 Ordinary differential equations (34-XX) 860 Statistical mechanics, structure of matter (82-XX) 795 Biology and other natural sciences (92-XX) 486 Mechanics of particles and systems (70-XX) 387 Quantum theory (81-XX) 342 Numerical analysis (65-XX) 342 Optics, electromagnetic theory (78-XX) 257 Computer science (68-XX) 237 Mechanics of deformable solids (74-XX) 234 Probability theory and stochastic processes (60-XX) 220 Systems theory; control (93-XX) 213 Classical thermodynamics, heat transfer (80-XX) 169 Geophysics (86-XX) 154 Statistics (62-XX) 153 Global analysis, analysis on manifolds (58-XX) 141 Information and communication theory, circuits (94-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 72 Difference and functional equations (39-XX) 60 Operations research, mathematical programming (90-XX) 54 Integral equations (45-XX) 49 Astronomy and astrophysics (85-XX) 48 Combinatorics (05-XX) 47 Differential geometry (53-XX) 40 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) 19 Algebraic geometry (14-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 General topology (54-XX) 15 Nonassociative rings and algebras (17-XX) 15 Special functions (33-XX) 15 Manifolds and cell complexes (57-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 10 History and biography (01-XX) 10 Topological groups, Lie groups (22-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Algebraic topology (55-XX) 7 Convex and discrete geometry (52-XX) 6 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 Field theory and polynomials (12-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 Several complex variables and analytic spaces (32-XX) 1 Mathematics education (97-XX)

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Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
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1984
Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010
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1993
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1992
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
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1989
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
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1994
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1982
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2000
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2008
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2012
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2006
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1997
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1988
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
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1994
Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118
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2004
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2003
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1990
The Camassa-Holm equations and turbulence. Zbl 1194.76069
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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
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
State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103
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2007
Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081
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2007
Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621
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2004
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1997
Thermodynamically-consistent phase-field models for solidification. Zbl 0791.35159
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1993
A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028
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2005
Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002
Wang, Lin; Zou, Xingfu
2002
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1990
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Zbl 0984.92502
2001
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1993
Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017
Clarkson, Peter A.; Mansfield, Elizabeth L.
1994
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
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1982
Asymptotic analysis of the Navier-Stokes equations. Zbl 0584.35007
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1983
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2011
Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows. Zbl 1178.37119
2009
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 07479423
Ma, Wen-Xiu
2022
Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method. Zbl 07487485
Senyange, B.; Skokos, Ch.
2022
Nanoptera in nonlinear woodpile chains with zero precompression. Zbl 07479412
Deng, G.; Lustri, C. J.
2022
Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions. Zbl 07487489
Yang, Jin-Jie; Tian, Shou-Fu; Li, Zhi-Qiang
2022
Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation. Zbl 07477792
Guo, Lijuan; Chabchoub, Amin; He, Jingsong
2021
Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales. Zbl 07477856
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
Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy. Zbl 07477890
Yang, Bo; Yang, Jianke
2021
Rogue wave patterns in the nonlinear Schrödinger equation. Zbl 07479450
Yang, Bo; Yang, Jianke
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
Explicit formulae for the peak time of an epidemic from the SIR model. Zbl 07477850
Turkyilmazoglu, Mustafa
2021
The robust inverse scattering method for focusing Ablowitz-Ladik equation on the non-vanishing background. Zbl 07477883
Chen, Yiren; Feng, Bao-Feng; Ling, Liming
2021
Travelling wave analysis of cellular invasion into surrounding tissues. Zbl 1482.92034
El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J.
2021
A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise. Zbl 07493986
Li, Yang; Duan, Jinqiao
2021
Actively deforming porous media in an incompressible fluid: a variational approach. Zbl 07477786
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang
2021
The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts. Zbl 07477788
Ercolani, Nicholas M.; Ramalheira-Tsu, Jonathan
2021
Tensor-based computation of metastable and coherent sets. Zbl 07477813
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
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
Epidemic models with discrete state structures. Zbl 07477851
Liu, Suli; Li, Michael Y.
2021
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation. Zbl 07477861
Klein, Christian; Roudenko, Svetlana; Stoilov, Nikola
2021
A novel antimonotic hyperjerk system: analysis, synchronization and circuit design. Zbl 07477872
Zambrano-Serrano, Ernesto; Anzo-Hernández, Andrés
2021
Persisting asymmetry in the probability distribution function for a random advection-diffusion equation in impermeable channels. Zbl 07477885
Camassa, Roberto; Ding, Lingyun; Kilic, Zeliha; McLaughlin, Richard M.
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
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits. Zbl 07477891
Kvalheim, Matthew D.; Revzen, Shai
2021
Trends in COVID-19 prevalence and mortality: a year in review. Zbl 07477893
James, Nick; Menzies, Max
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
Multi-soliton solutions of KP equation with integrable boundary via $$\overline{\partial}$$-dressing method. Zbl 07479394
Dubrovsky, V. G.; Topovsky, A. V.
2021
Birkhoff averages and the breakdown of invariant tori in volume-preserving maps. Zbl 07479400
Meiss, J. D.; Sander, E.
2021
Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: derivations and computations. Zbl 1483.76063
Gao, Yuan; Liu, Jian-Guo
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
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
Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem. Zbl 07491125
van den Berg, Jan Bouwe; Williams, J. F.
2021
Grassmannian flows and applications to non-commutative non-local and local integrable systems. Zbl 07491127
Doikou, Anastasia; Malham, Simon J. A.; Stylianidis, Ioannis
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
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
$$P T$$-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
Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation. Zbl 1453.82045
Lustri, Christopher J.
2020
Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation. Zbl 1453.37066
Mu, Gui; Qin, Zhenyun; Grimshaw, Roger; Akhmediev, Nail
2020
Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability. Zbl 07477437
Chen, Jinbing; Pelinovsky, Dmitry E.; White, Robert E.
2020
Nested mixed-mode oscillations. Zbl 1453.34070
Inaba, Naohiko; Kousaka, Takuji
2020
Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis. Zbl 1453.76179
Giannakis, Dimitrios; Das, Suddhasattwa
2020
Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation. Zbl 1453.65260
Singh, Mehakpreet; Matsoukas, Themis; Walker, Gavin
2020
Emergence of phase concentration for the Kuramoto-Sakaguchi equation. Zbl 1453.34075
Ha, Seung-Yeal; Kim, Young-Heon; Morales, Javier; Park, Jinyeong
2020
A comparison of two- and three-dimensional single-mode reshocked Richtmyer-Meshkov instability growth. Zbl 1453.76133
Latini, Marco; Schilling, Oleg
2020
Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. Zbl 07492621
Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
2020
Dispersive shocks in quantum hydrodynamics with viscosity. Zbl 1453.76233
Lattanzio, Corrado; Marcati, Pierangelo; Zhelyazov, Delyan
2020
Parametric investigation of the transition to turbulence in Rayleigh-Taylor mixing. Zbl 1453.76059
Morgan, Brandon E.; Black, Wolfgang J.
2020
Correlations in area preserving maps: a Shannon entropy approach. Zbl 1453.37007
Cincotta, P. M.; Shevchenko, I. I.
2020
A buoyancy-shear-drag-based turbulence model for Rayleigh-Taylor, reshocked Richtmyer-Meshkov, and Kelvin-Helmholtz mixing. Zbl 1453.76055
Schilling, Oleg
2020
Autoresonance in weakly dissipative Klein-Gordon chains. Zbl 1453.34053
Kovaleva, Agnessa
2020
Inverse problem on conservation laws. Zbl 1453.35192
Popovych, Roman O.; Bihlo, Alexander
2020
Irreducibility of the three, and two and a half dimensional Hall-magnetohydrodynamics system. Zbl 1453.76182
Yamazaki, Kazuo
2020
Travelling waves for reaction-diffusion equations forced by translation invariant noise. Zbl 1453.35202
Hamster, C. H. S.; Hupkes, H. J.
2020
Global dynamics and diffusion in the rational standard map. Zbl 07477827
Cincotta, Pablo M.; Simó, Carles
2020
Inversion of a SIR-based model: a critical analysis about the application to COVID-19 epidemic. Zbl 07477830
Comunian, Alessandro; Gaburro, Romina; Giudici, Mauro
2020
From optics to dark matter: a review on nonlinear Schrödinger-Poisson systems. Zbl 07490553
Paredes, Angel; Olivieri, David N.; Michinel, Humberto
2020
Data-driven approximation of the Koopman generator: model reduction, system identification, and control. Zbl 07492626
Klus, Stefan; Nüske, Feliks; Peitz, Sebastian; Niemann, Jan-Hendrik; Clementi, Cecilia; Schütte, Christof
2020
Weak Serrin-type blowup criterion for three-dimensional nonhomogeneous viscous incompressible heat conducting flows. Zbl 1453.76039
Wang, Yongfu
2020
Investigation of stochastic nonlinear dynamics of ocean engineering systems through path integration. Zbl 1453.65024
Varghese, Vini Anna; Saha, Nilanjan
2020
Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity. Zbl 1453.34050
Alfimov, G. L.; Fedotov, A. P.; Sinelshchikov, D. I.
2020
Symmetry broken states in an ensemble of globally coupled pendulums. Zbl 1453.34051
Bolotov, Maxim I.; Munyaev, Vyacheslav O.; Smirnov, Lev A.; Hramov, Alexander E.
2020
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones. Zbl 1453.34057
Freire, Emilio; Ordóñez, Manuel; Ponce, Enrique
2020
Symmetric coupling of multiple timescale systems with mixed-mode oscillations and synchronization. Zbl 1453.34052
2020
Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on $$\mathbb{R}^N$$. Zbl 1453.35008
Zhao, Wenqiang; Zhang, Yijin; Chen, Shangjie
2020
A proof of Euzébio-Pazim-Ponce’s conjectures for a degenerate planar piecewise linear differential system with three zones. Zbl 1453.34056
Chen, Hebai; Tang, Yilei
2020
A note on the existence of pure gravity waves at the interface of two fluids. Zbl 1453.76024
Maklakov, D. V.
2020
Hamiltonian structure of compartmental epidemiological models. Zbl 07477825
Ballesteros, Angel; Blasco, Alfonso; Gutierrez-Sagredo, Ivan
2020
Predicting the evolution of the COVID-19 epidemic with the A-SIR model: Lombardy, Italy and São Paulo state, Brazil. Zbl 07477832
Neves, Armando G. M.; Guerrero, Gustavo
2020
Time-series learning of latent-space dynamics for reduced-order model closure. Zbl 07477434
Maulik, Romit; Mohan, Arvind; Lusch, Bethany; Madireddy, Sandeep; Balaprakash, Prasanna; Livescu, Daniel
2020
Topology of dynamical reconstructions from Lagrangian data. Zbl 07477435
Charó, Gisela D.; Artana, Guillermo; Sciamarella, Denisse
2020
Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes. Zbl 07477439
Eigentler, L.; Sherratt, J. A.
2020
On the spectral instability and bifurcation of the 2D-quasi-geostrophic potential vorticity equation with a generalized Kolmogorov forcing. Zbl 1482.76060
Lu, ChunHsien; Mao, Yiqiu; Sengul, Taylan; Wang, Quan
2020
Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials. Zbl 07490558
Zhu, Qing; Zhou, Zhan; Wang, Lin
2020
The generalization of equal-peak method for delay-coupled nonlinear system. Zbl 07490564
Meng, Hao; Sun, Xiuting; Xu, Jian; Wang, Feng
2020
Fundamentals of recurrent neural network (RNN) and long short-term memory (LSTM) network. Zbl 07491090
Sherstinsky, Alex
2020
Resolving soil and surface water flux as drivers of pattern formation in Turing models of dryland vegetation: a unified approach. Zbl 1481.35366
Siero, Eric
2020
Prevalence of delay embeddings with a fixed observation function. Zbl 07491108
Navarrete, Raymundo; Viswanath, Divakar
2020
Multi-lump solutions of KP equation with integrable boundary via $$\overline{\partial}$$-dressing method. Zbl 07491122
Dubrovsky, V. G.; Topovsky, A. V.
2020
Snaking branches of planar BCC fronts in the 3D Brusselator. Zbl 07492617
Uecker, Hannes; Wetzel, Daniel
2020
Radiation dynamics in fast soliton collisions in the presence of cubic loss. Zbl 07492620
Peleg, Avner; Chakraborty, Debananda
2020
A simple model of keratocyte membrane dynamics: the case of motionless living cell. Zbl 07492643
Hamed, Mohammad Abu; Nepomnyashchy, Alexander A.
2020
Data-driven predictions of the Lorenz system. Zbl 07492646
Dubois, Pierre; Gomez, Thomas; Planckaert, Laurent; Perret, Laurent
2020
Accurate closed-form solution of the SIR epidemic model. Zbl 07492649
Barlow, Nathaniel S.; Weinstein, Steven J.
2020
The influence of initial perturbation power spectra on the growth of a turbulent mixing layer induced by Richtmyer-Meshkov instability. Zbl 07492654
Groom, M.; Thornber, B.
2020
Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: $$N$$ simple poles and one higher-order pole. Zbl 1453.37063
Zhang, Yongshuai; Rao, Jiguang; Cheng, Yi; He, Jingsong
2019
Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology. Zbl 1453.92050
McCue, Scott W.; Jin, Wang; Moroney, Timothy J.; Lo, Kai-Yin; Chou, Shih-En; Simpson, Matthew J.
2019
On the dynamical stability and instability of parker problem. Zbl 1451.76053
Jiang, Fei; Jiang, Song
2019
Micropolar meets Newtonian. The Rayleigh-Bénard problem. Zbl 1451.76057
Kalita, Piotr; Langa, José A.; Łukaszewicz, Grzegorz
2019
At most two limit cycles in a piecewise linear differential system with three zones and asymmetry. Zbl 1415.34041
Chen, Hebai; Tang, Yilei
2019
Periodic oscillations in age-structured ratio-dependent predator-prey model with Michaelis-Menten type functional response. Zbl 1448.34137
Zhang, Xiangming; Liu, Zhihua
2019
Martingale solutions to stochastic nonlocal Cahn-Hilliard-Navier-Stokes equations with multiplicative noise of jump type. Zbl 1453.60117
Deugoué, G.; Ngana, A. Ndongmo; Medjo, T. Tachim
2019
Asymptotic behavior of a neural field lattice model with a heaviside operator. Zbl 1448.82025
Han, Xiaoying; Kloeden, Peter E.
2019
Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation. Zbl 1448.37089
Xu, Tao; Lan, Sha; Li, Min; Li, Ling-Ling; Zhang, Guo-Wei
2019
Granero-Belinchón, Rafael; Scrobogna, Stefano
2019
Polynomial mixing under a certain stationary Euler flow. Zbl 1451.76035
Crippa, Gianluca; Lucà, Renato; Schulze, Christian
2019
Inter-layer synchronization of periodic solutions in two coupled rings with time delay. Zbl 1451.34094
Xu, Xu; Yu, Dongyuan; Wang, Zaihua
2019
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### Cited by 40,985 Authors

 144 Cao, Jinde 136 Ha, Seung-Yeal 112 Chen, Guanrong 103 Guo, Boling 101 Llibre, Jaume 96 Kurths, Jürgen 90 Huang, Lihong 88 Wazwaz, Abdul-Majid Abdul-Rahman 87 Titi, Edriss Saleh 87 Wei, Juncheng 80 Yin, Zhaoyang 74 Liao, Xiaofeng 71 Pelinovsky, Dmitry Efimovich 70 Majda, Andrew J. 67 Haller, George 66 Kevrekidis, Panayotis G. 66 Marsden, Jerrold Eldon 65 Zumbrun, Kevin R. 64 Holm, Darryl D. 64 Knobloch, Edgar 63 Temam, Roger Meyer 63 Wang, Xingyuan 63 Xu, Wei 60 Jafari, Sajad 60 Liu, Yue 59 Carrillo de la Plata, José Antonio 59 Qu, Changzheng 55 Ashwin, Peter 54 Miranville, Alain M. 53 Geng, Xianguo 52 Gardini, Laura 52 Malomed, Boris A. 52 Wei, Junjie 52 Xu, Jian 51 Ma, Wen-Xiu 51 Pham, Viet-Thanh 51 Wang, Bixiang 50 Aihara, Kazuyuki 50 Fan, Engui 50 Zhang, Wei 49 Mezić, Igor 49 Mu, Chunlai 48 de la Llave, Rafael 48 Zhou, Shengfan 47 Sprott, Julien Clinton 46 Calogero, Francesco A. 46 Meiss, James D. 45 Kapitaniak, Tomasz 45 Li, Jibin 45 Pikovsky, Arkady S. 44 Grebogi, Celso 44 Wiggins, Stephen 43 Bollt, Erik M. 43 MacKay, Robert Sinclair 43 Qiao, Zhijun 43 Ward, Michael J. 42 Small, Michael 41 Grimshaw, Roger Hamilton James 41 Jiang, Haijun 41 Kudryashov, Nikolaĭ Alekseevich 41 Liu, Zengrong 41 Yang, Xiaofeng 40 Gao, Hongjun 40 Guo, Shangjiang 40 Valls Anglés, Cláudia 39 Kevrekidis, Ioannis George 39 Wei, Zhouchao 38 Li, Chuandong 38 Sanjuán, Miguel A. F. 38 Yorke, James Alan 37 Ablowitz, Mark Jay 37 Dehghan Takht Fooladi, Mehdi 37 Grammaticos, Basil 37 He, Jingsong 37 Sherratt, Jonathan A. 36 Caldas, Iberê L. 36 Crutchfield, James P. 36 Duan, Jinqiao 36 Foiaş, Ciprian Ilie 36 Han, Maoan 36 Jolly, Michael S. 36 Osher, Stanley Joel 36 Ramani, Alfred 36 Sandstede, Björn 36 Tian, Lixin 36 Yang, Xiaosong 35 Fokas, Athanassios S. 35 Kolokolnikov, Theodore 35 Stewart, Ian Nicholas 34 Bertola, Marco 34 Colli, Pierluigi 34 Doering, Charles Rogers 34 Lakshmanan, Muthusamy 34 Letellier, Christophe 34 Turaev, Dmitry V. 34 Zaslavski, Alexander Yakovlevich 33 Algaba, Antonio 33 Bi, Qinsheng 33 Bridges, Thomas J. 33 Jiang, Weihua ...and 40,885 more Authors
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### Cited in 1,005 Journals

 3,059 Physica D 1,772 Chaos 1,475 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,460 Chaos, Solitons and Fractals 1,246 Journal of Mathematical Physics 931 Journal of Differential Equations 903 Journal of Fluid Mechanics 828 Applied Mathematics and Computation 814 Journal of Computational Physics 794 Nonlinear Dynamics 754 Communications in Nonlinear Science and Numerical Simulation 728 Journal of Mathematical Analysis and Applications 674 Physics of Fluids 555 Journal of Statistical Physics 545 Communications in Mathematical Physics 417 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 397 Journal of Nonlinear Science 374 Computers & Mathematics with Applications 368 Nonlinear Analysis. Real World Applications 343 Journal of Computational and Applied Mathematics 294 SIAM Journal on Applied Dynamical Systems 288 Archive for Rational Mechanics and Analysis 284 Discrete and Continuous Dynamical Systems 268 Discrete and Continuous Dynamical Systems. Series B 267 Nonlinearity 261 Theoretical and Mathematical Physics 258 Mathematical Problems in Engineering 247 Journal of Theoretical Biology 243 Applied Mathematics Letters 233 Journal of Scientific Computing 221 Computer Methods in Applied Mechanics and Engineering 221 Physica A 216 Physics Letters. A 211 Applied Mathematical Modelling 210 Mathematics and Computers in Simulation 210 Journal of Dynamics and Differential Equations 210 Abstract and Applied Analysis 201 Journal of Nonlinear Mathematical Physics 200 Regular and Chaotic Dynamics 190 Celestial Mechanics and Dynamical Astronomy 188 ZAMP. Zeitschrift für angewandte Mathematik und Physik 185 Mathematical Methods in the Applied Sciences 182 Journal of Mathematical Biology 182 Bulletin of Mathematical Biology 174 SIAM Journal on Mathematical Analysis 173 Applicable Analysis 172 Studies in Applied Mathematics 169 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 167 Applied Numerical Mathematics 162 Journal of Geometry and Physics 159 Journal of the Franklin Institute 156 Advances in Difference Equations 153 Wave Motion 143 Journal of Mathematical Imaging and Vision 141 Mathematical and Computer Modelling 140 Automatica 133 Communications on Pure and Applied Analysis 129 Biological Cybernetics 129 Neural Networks 129 European Journal of Mechanics. B. Fluids 127 Letters in Mathematical Physics 125 Acta Applicandae Mathematicae 125 Discrete Dynamics in Nature and Society 124 SIAM Journal on Imaging Sciences 122 Mathematical Biosciences 121 Computers and Fluids 120 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 115 Journal of Functional Analysis 115 Neural Computation 114 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 112 Dynamical Systems 110 International Journal of Modern Physics B 109 International Journal of Theoretical Physics 109 Transactions of the American Mathematical Society 109 International Journal of Computer Mathematics 109 SIAM Journal on Scientific Computing 107 Journal of Physics A: Mathematical and Theoretical 105 International Journal of Modern Physics C 105 Discrete and Continuous Dynamical Systems. Series S 104 Complexity 103 SIAM Journal on Applied Mathematics 100 Acta Mathematicae Applicatae Sinica. English Series 97 Communications in Partial Differential Equations 96 Journal of Mathematical Sciences (New York) 96 Journal of Statistical Mechanics: Theory and Experiment 95 Nonlinear Analysis. Theory, Methods & Applications 94 Advances in Mathematics 91 Applied Mathematics and Mechanics. (English Edition) 89 Proceedings of the American Mathematical Society 88 Journal of High Energy Physics 86 Japan Journal of Industrial and Applied Mathematics 86 Journal of Difference Equations and Applications 86 Advances in Mathematical Physics 83 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 82 Journal of Engineering Mathematics 82 Theoretical Computer Science 82 Journal of Mathematical Fluid Mechanics 81 Calculus of Variations and Partial Differential Equations 81 Journal of Applied Mathematics 78 Journal of the Mechanics and Physics of Solids ...and 905 more Journals
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### Cited in 63 Fields

 13,380 Partial differential equations (35-XX) 11,903 Dynamical systems and ergodic theory (37-XX) 7,421 Ordinary differential equations (34-XX) 7,318 Fluid mechanics (76-XX) 5,391 Biology and other natural sciences (92-XX) 4,703 Numerical analysis (65-XX) 2,841 Statistical mechanics, structure of matter (82-XX) 2,715 Systems theory; control (93-XX) 2,542 Mechanics of particles and systems (70-XX) 1,830 Computer science (68-XX) 1,821 Probability theory and stochastic processes (60-XX) 1,794 Information and communication theory, circuits (94-XX) 1,597 Mechanics of deformable solids (74-XX) 1,555 Quantum theory (81-XX) 1,035 Statistics (62-XX) 928 Calculus of variations and optimal control; optimization (49-XX) 788 Classical thermodynamics, heat transfer (80-XX) 762 Optics, electromagnetic theory (78-XX) 745 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 727 Operations research, mathematical programming (90-XX) 686 Geophysics (86-XX) 670 Operator theory (47-XX) 644 Difference and functional equations (39-XX) 608 Global analysis, analysis on manifolds (58-XX) 525 Differential geometry (53-XX) 421 Combinatorics (05-XX) 368 Real functions (26-XX) 368 Measure and integration (28-XX) 335 Integral equations (45-XX) 319 Special functions (33-XX) 302 Algebraic geometry (14-XX) 283 Linear and multilinear algebra; matrix theory (15-XX) 261 Harmonic analysis on Euclidean spaces (42-XX) 247 Nonassociative rings and algebras (17-XX) 247 Relativity and gravitational theory (83-XX) 214 Functions of a complex variable (30-XX) 172 Functional analysis (46-XX) 150 Number theory (11-XX) 141 Astronomy and astrophysics (85-XX) 127 Approximations and expansions (41-XX) 114 Topological groups, Lie groups (22-XX) 90 General topology (54-XX) 89 General and overarching topics; collections (00-XX) 85 Manifolds and cell complexes (57-XX) 81 Several complex variables and analytic spaces (32-XX) 67 Integral transforms, operational calculus (44-XX) 66 History and biography (01-XX) 64 Convex and discrete geometry (52-XX) 62 Group theory and generalizations (20-XX) 53 Mathematical logic and foundations (03-XX) 53 Algebraic topology (55-XX) 51 Associative rings and algebras (16-XX) 47 Commutative algebra (13-XX) 46 Potential theory (31-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 31 Field theory and polynomials (12-XX) 16 Geometry (51-XX) 11 Mathematics education (97-XX) 8 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)