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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: 6,613 Publications (since 1980)
References Indexed: 6,411 Publications with 180,497 References.
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
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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

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 0780.49028
Rudin, Leonid I.; Osher, Stanley; Fatemi, Emad
1992
Determining Lyapunov exponents from a time series. Zbl 0585.58037
Wolf, Alan; Swift, Jack B.; Swinney, Harry L.; Vastano, John A.
1985
Symplectic structures, their Bäcklund transformations and hereditary symmetries. Zbl 1194.37114
Fuchssteiner, B.; Fokas, A. S.
728
1981
Measuring the strangeness of strange attractors. Zbl 0593.58024
Grassberger, Peter; Procaccia, Itamar
446
1983
From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022
Strogatz, Steven H.
276
2000
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166
Jimbo, Michio; Miwa, Tetsuji
245
1981
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function. Zbl 1194.34167
Jimbo, Michio; Miwa, Tetsuji; Ueno, Kimio
228
1981
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
220
1996
Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001
Gopalsamy, K.; He, Xue-zhong
209
1994
Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
199
1999
A practical method for calculating largest Lyapunov exponents from small data sets. Zbl 0779.58030
Rosenstein, Michael T.; Collins, James J.; De Luca, Carlo J.
195
1993
A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Zbl 1092.76069
Liu, Chun; Shen, Jie
192
2003
Testing for nonlinearity in time series: the method of surrogate data. Zbl 1194.37144
Theiler, James; Eubank, Stephen; Longtin, André; Galdrikian, Bryan; Farmer, J. Doyne
190
1992
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345
Fuchssteiner, Benno
184
1996
The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. Zbl 1237.37059
Aubry, S.; Le Daeron, P. Y.
177
1983
On a class of physically important integrable equations. Zbl 1194.35363
Fokas, A. S.
176
1995
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
159
2001
Extracting qualitative dynamics from experimental data. Zbl 0603.58040
Broomhead, D. S.; King, Gregory P.
157
1986
Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031
Nusse, 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 1161.76487
Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E.
156
2005
Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052
Farmer, J. Doyne
154
1982
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
Penrose, Oliver; Fife, Paul C.
153
1990
Hidden attractor in smooth Chua systems. Zbl 1277.34052
Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
147
2012
Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022
Wang, Bixiang
146
1999
A simple global characterization for normal forms of singular vector fields. Zbl 0633.58020
Elphick, C.; Tirapegui, E.; Brachet, M. E.; Coullet, P.; Iooss, G.
145
1987
New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031
Lu, Wenlian; Chen, Tianping
141
2006
The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026
Hentschel, H. G. E.; Procaccia, Itamar
141
1983
An overview of Rayleigh-Taylor instability. Zbl 0577.76047
Sharp, D. H.
141
1984
Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163
Zaslavsky, G. M.
127
1994
Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013
Nicolaenko, B.; Scheurer, B.; Temam, R.
125
1985
The reduction problem and the inverse scattering method. Zbl 1194.37113
Mikhailov, Alexander V.
124
1981
Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072
Lamb, Jeroen S. W.; Roberts, John A. G.
122
1998
Nonlinear prediction of chaotic time series. Zbl 0671.62099
Casdagli, Martin
122
1989
Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059
Aubry, Serge
121
1997
Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077
Haller, G.
120
2001
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
119
2005
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
119
1980
Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554
Schäfer, T.; Wayne, C. E.
119
2004
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
Gopalsamy, K.; Leung, I.
118
1996
Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
Watanabe, 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 1194.30028
Mandelbrot, Benoit B.
117
1983
Energy method for Boltzmann equation. Zbl 1098.82618
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien
117
2004
Strange attractors that are not chaotic. Zbl 0588.58036
Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A.
116
1984
Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622
Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin
113
2004
Transport in Hamiltonian systems. Zbl 0585.58039
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
109
1984
Fractal basin boundaries. Zbl 0588.58033
McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
109
1985
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088
van Saarloos, Wim; Hohenberg, P. C.
108
1992
Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010
Erneux, Thomas; Nicolis, Grégoire
108
1993
Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069
Olien, Leonard; Bélair, Jacques
106
1997
Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018
Tyson, John J.; Keener, James P.
106
1988
Integrable mappings and soliton equations. II. Zbl 0679.58024
Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J.
106
1989
Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459
Lions, P. L.
103
1982
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C.
103
1989
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
Haller, G.; Yuan, G.
101
2000
Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
Sandstede, Björn; Scheel, Arnd
99
2000
Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204
Hunter, John K.; Scheurle, Jürgen
99
1988
Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310
Tavazoei, Mohammad Saleh; Haeri, Mohammad
99
2008
Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520
Kaneko, Kunihiko
98
1990
Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165
Karpman, V. I.; Shagalov, A. G.
96
2000
New applications of variational iteration method. Zbl 1084.35539
Abdou, M. A.; Soliman, A. A.
94
2005
Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026
Painter, Kevin J.; Hillen, Thomas
94
2011
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
Iron, David; Ward, Michael J.; Wei, Juncheng
94
2001
Amplitude response of coupled oscillators. Zbl 0703.34047
Aronson, D. G.; Ermentrout, G. B.; Kopell, N.
93
1990
Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602
Rowley, Clarence W.; Colonius, Tim; Murray, Richard M.
93
2004
The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025
Weiss, John
93
1991
Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011
Eyink, Gregory L.
92
1994
Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057
Golubitsky, M. (ed.); Knobloch, E. (ed.)
91
2000
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
Dullin, H. R.; Gottwald, G. A.; Holm, D. D.
91
2004
Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates. Zbl 1098.82602
Chang, Shu-Ming; Lin, Chang-Shou; Lin, Tai-Chia; Lin, Wen-Wei
91
2004
Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model. Zbl 1238.34102
Choi, Young-Pil; Ha, Seung-Yeal; Jung, Sungeun; Kim, Yongduck
90
2012
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027
Armbruster, Dieter; Guckenheimer, John; Holmes, Philip
90
1988
Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type. Zbl 0571.35100
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T.
89
1982
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, 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 0755.35118
Kovačič, Gregor; Wiggins, Stephen
87
1992
Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175
Kobayashi, Ryo
87
1993
Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Zbl 1103.34044
Forti, M.; Grazzini, M.; Nistri, P.; Pancioni, L.
87
2006
Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
87
2004
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, 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 1041.68079
Guo, Shangjiang; Huang, Lihong
86
2003
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
85
1994
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
85
1986
Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081
Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning
84
2007
State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103
Chuang, 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 0704.58030
Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S.
82
1990
Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002
Wang, Lin; Zou, Xingfu
82
2002
Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385
Cao, Liangyue
81
1997
Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017
Clarkson, Peter A.; Mansfield, Elizabeth L.
80
1994
Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507
Wendlandt, Jeffrey M.; Marsden, Jerrold E.
80
1997
Fourth-order symplectic integration. Zbl 0713.65044
Forest, Etienne; Ruth, Ronald D.
80
1990
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
79
1993
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Zbl 0984.92502
Mohamad, Sannay
79
2001
Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621
Belykh, Igor V.; Belykh, Vladimir N.; Hasler, Martin
78
2004
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
77
1982
Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. Zbl 1098.76603
Chen, Gui-Qiang; Liu, Hailiang
77
2004
Thermodynamically-consistent phase-field models for solidification. Zbl 0791.35159
Wang, S.-L.; Sekerka, R. F.; Wheeler, A. A.; Murray, B. T.; Coriell, S. R.; Braun, R. J.; McFadden, G. B.
76
1993
A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028
d’Onofrio, Alberto
76
2005
On the origin and bifurcations of stick-slip oscillations. Zbl 0963.70016
Dankowicz, Harry; Nordmark, Arne B.
73
2000
Asymptotic analysis of the Navier-Stokes equations. Zbl 0584.35007
Foiaş, Ciprian; Manley, O. P.; Temam, R.; Treve, Y. M.
73
1983
On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030
Constantin, P.; Foias, C.; Temam, R.
73
1988
Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Zbl 1097.34053
Cao, Jinde; Li, Xiaolin
73
2005
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions. Zbl 1453.37069
Zhang, Guoqiang; Yan, Zhenya
4
2020
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. Zbl 1453.37068
Rao, Jiguang; Cheng, Yi; Porsezian, Kuppuswamy; Mihalache, Dumitru; He, Jingsong
4
2020
Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161
Zhao, Peng; Fan, Engui
3
2020
Stationary and non-stationary patterns of the density-suppressed motility model. Zbl 1453.37086
Ma, Manjun; Peng, Rui; Wang, Zhian
3
2020
Emergence of phase concentration for the Kuramoto-Sakaguchi equation. Zbl 1453.34075
Ha, Seung-Yeal; Kim, Young-Heon; Morales, Javier; Park, Jinyeong
3
2020
Travelling waves for reaction-diffusion equations forced by translation invariant noise. Zbl 1453.35202
Hamster, C. H. S.; Hupkes, H. J.
2
2020
Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis. Zbl 1453.76179
Giannakis, Dimitrios; Das, Suddhasattwa
1
2020
Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation. Zbl 1453.65260
Singh, Mehakpreet; Matsoukas, Themis; Walker, Gavin
1
2020
Dispersive shocks in quantum hydrodynamics with viscosity. Zbl 1453.76233
Lattanzio, Corrado; Marcati, Pierangelo; Zhelyazov, Delyan
1
2020
Correlations in area preserving maps: a Shannon entropy approach. Zbl 1453.37007
Cincotta, P. M.; Shevchenko, I. I.
1
2020
Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation. Zbl 1453.37066
Mu, Gui; Qin, Zhenyun; Grimshaw, Roger; Akhmediev, Nail
1
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.
1
2020
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones. Zbl 1453.34057
Freire, Emilio; Ordóñez, Manuel; Ponce, Enrique
1
2020
Autoresonance in weakly dissipative Klein-Gordon chains. Zbl 1453.34053
Kovaleva, Agnessa
1
2020
Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on \(\mathbb{R}^N\). Zbl 1453.35008
Zhao, 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 1453.34056
Chen, Hebai; Tang, Yilei
1
2020
Nested mixed-mode oscillations. Zbl 1453.34070
Inaba, Naohiko; Kousaka, Takuji
1
2020
A note on the existence of pure gravity waves at the interface of two fluids. Zbl 1453.76024
Maklakov, D. V.
1
2020
Inverse problem on conservation laws. Zbl 1453.35192
Popovych, Roman O.; Bihlo, Alexander
1
2020
A comparison of two- and three-dimensional single-mode reshocked Richtmyer-Meshkov instability growth. Zbl 1453.76133
Latini, Marco; Schilling, Oleg
1
2020
At most two limit cycles in a piecewise linear differential system with three zones and asymmetry. Zbl 1415.34041
Chen, Hebai; Tang, Yilei
5
2019
Micropolar meets Newtonian. The Rayleigh-Bénard problem. Zbl 1451.76057
Kalita, Piotr; Langa, José A.; Łukaszewicz, Grzegorz
4
2019
Asymptotic behavior of a neural field lattice model with a heaviside operator. Zbl 1448.82025
Han, Xiaoying; Kloeden, Peter E.
3
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.
3
2019
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
3
2019
Periodic oscillations in age-structured ratio-dependent predator-prey model with Michaelis-Menten type functional response. Zbl 1448.34137
Zhang, Xiangming; Liu, Zhihua
2
2019
On the dynamical stability and instability of parker problem. Zbl 1451.76053
Jiang, Fei; Jiang, Song
2
2019
Asymptotic models for free boundary flow in porous media. Zbl 1451.76120
Granero-Belinchón, Rafael; Scrobogna, Stefano
2
2019
(INVITED) Reaction-diffusion waves in cardiovascular diseases. Zbl 1453.92142
Panfilov, 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 1453.60116
Camassa, Roberto; Kilic, Zeliha; McLaughlin, Richard M.
2
2019
Generalized dimensions, large deviations and the distribution of rare events. Zbl 1453.37008
Caby, 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 1415.70037
Lazarus, Arnaud
1
2019
On the representations and \(\mathbb{Z}_2\)-equivariant normal form for solenoidal Hopf-zero singularities. Zbl 1415.37070
Mokhtari, Fahimeh
1
2019
Navier-Stokes equations on the \(\beta\)-plane: determining modes and nodes. Zbl 1415.76732
Miyajima, N.; Wirosoetisno, D.
1
2019
Effects of passive hydrodynamics force on harmonic and chaotic oscillations in nonlinear chemical dynamics. Zbl 1415.92219
Olabodé, 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 1448.37081
Durán, 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 1448.34096
Bastiaansen, Robbin; Doelman, Arjen
1
2019
Ground-state patterns and phase diagram of spin-1 Bose-Einstein condensates in uniform magnetic field. Zbl 1448.82065
Chern, 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 1448.35011
Li, Shenghao; Chen, Min; Zhang, Bingyu
1
2019
The steady-state lifting bifurcation problem associated with the valency on networks. Zbl 1448.05081
Aguiar, Manuela A. D.; Dias, Ana P. S.; Soares, Pedro
1
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
1
2019
Nonlinear diffusion models for gravitational wave turbulence. Zbl 1448.83006
Galtier, 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 1451.76132
Ruan, Lizhi; Trakhinin, Yuri
1
2019
On the modeling of equatorial shallow-water waves with the Coriolis effect. Zbl 1451.35004
Hu, Tianqiao; Liu, Yue
1
2019
\(S^1\) attractor bifurcation analysis for an electrically conducting fluid flow between two rotating cylinders. Zbl 1451.76144
Liu, Ruikuan; Wang, Quan
1
2019
Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model. Zbl 1451.35074
Liu, 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 1451.76106
Melinand, Benjamin; Zumbrun, Kevin
1
2019
Polynomial mixing under a certain stationary Euler flow. Zbl 1451.76035
Crippa, Gianluca; Lucà, Renato; Schulze, Christian
1
2019
A projector-based convergence proof of the Ginelli algorithm for covariant Lyapunov vectors. Zbl 1451.37010
Noethen, Florian
1
2019
Blow-up dynamics in the mass super-critical NLS equations. Zbl 1451.35035
Yang, Kai; Roudenko, Svetlana; Zhao, Yanxiang
1
2019
Hamiltonian systems with Lévy noise: symplecticity, Hamilton’s principle and averaging principle. Zbl 1453.60110
Wei, Pingyuan; Chao, Ying; Duan, Jinqiao
1
2019
Phase distribution control of a population of oscillators. Zbl 1453.92059
Monga, 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 1453.35118
Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi
1
2019
On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D. Zbl 1453.35131
Georgiev, Vladimir; Li, Chunhua
1
2019
Three-dimensional map for a piecewise-linear capsule system with bidirectional drifts. Zbl 1453.70010
Guo, Bingyong; Liu, Yang
1
2019
Competition and complexity in amphiphilic polymer morphology. Zbl 1453.82096
Christlieb, Andrew; Kraitzman, Noa; Promislow, Keith
1
2019
Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system. Zbl 1453.35027
Bao, Weizhu; Ha, Seung-Yeal; Kim, Dohyun; Tang, Qinglin
1
2019
Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion. Zbl 1398.35164
Doering, 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 1398.35157
Shvydkoy, Roman; Tadmor, Eitan
20
2018
Pathwise upper semi-continuity of random pullback attractors along the time axis. Zbl 1392.37042
Cui, Hongyong; Kloeden, Peter E.; Wu, Fuke
15
2018
Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146
Xia, Baoqiang; Fokas, A. S.
14
2018
Longtime robustness of pullback random attractors for stochastic magneto-hydrodynamics equations. Zbl 1415.37073
Wang, Shulin; Li, Yangrong
14
2018
Kink dynamics in a system of two coupled scalar fields in two space-time dimensions. Zbl 1380.35130
Alonso-Izquierdo, A.
11
2018
Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305
Crisan, Dan; Holm, Darryl D.
11
2018
Entire solutions originating from monotone fronts to the Allen-Cahn equation. Zbl 1404.35251
Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu; Yao, Chih-Hong
10
2018
Generalized Lagrangian coherent structures. Zbl 1391.76002
Balasuriya, Sanjeeva; Ouellette, Nicholas T.; Rypina, Irina I.
10
2018
Partially dissipative 2D Boussinesq equations with Navier type boundary conditions. Zbl 1398.35007
Hu, Weiwei; Wang, Yanzhen; Wu, Jiahong; Xiao, Bei; Yuan, Jia
9
2018
Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006
Constantin, Peter; Nguyen, Huy Quang
9
2018
Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions. Zbl 1381.35114
Prinari, 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 1392.35039
Tzou, 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 1381.35014
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
7
2018
Wave propagation in a strongly nonlinear locally resonant granular crystal. Zbl 1380.74024
Vorotnikov, K.; Starosvetsky, Y.; Theocharis, G.; Kevrekidis, P. G.
7
2018
Initiation of reaction-diffusion waves of blood coagulation. Zbl 1398.35117
Galochkina, T.; Marion, M.; Volpert, V.
7
2018
Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise. Zbl 1375.34078
Płociniczak, Łukasz; Świtała, Mateusz
6
2018
The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241
Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi
6
2018
On 3D Navier-Stokes equations: regularization and uniqueness by delays. Zbl 1398.76031
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuß, Björn
6
2018
Statistical solutions and Onsager’s conjecture. Zbl 1398.35153
Fjordholm, U. S.; Wiedemann, E.
6
2018
Patterns and coherence resonance in the stochastic Swift-Hohenberg equation with Pyragas control: the Turing bifurcation case. Zbl 1380.93230
Kuske, 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 1398.76193
Jiu, Quansen; Wang, Yi; Xin, Zhouping
5
2018
Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162
Cheskidov, Alexey; Dai, Mimi
5
2018
Travelling waves and their bifurcations in the Lorenz-96 model. Zbl 1380.37103
van Kekem, Dirk L.; Sterk, Alef E.
4
2018
Traveling fronts for lattice neural field equations. Zbl 1404.35083
Faye, Grégory
4
2018
Data assimilation using noisy time-averaged measurements. Zbl 1398.93119
Blocher, 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 1398.76033
Gibbon, 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 1390.90140
Pachon, 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 1392.70004
Guzzo, Massimiliano; Lega, Elena
4
2018
Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. Zbl 1415.76769
Jin, Shi; Tran, Minh-Binh
4
2018
An ordered line integral method for computing the quasi-potential in the case of variable anisotropic diffusion. Zbl 1415.65017
Dahiya, Daisy; Cameron, Maria
4
2018
A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation. Zbl 1375.34125
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
3
2018
Interaction of non-radially symmetric camphor particles. Zbl 1381.70018
Ei, Shin-Ichiro; Kitahata, Hiroyuki; Koyano, Yuki; Nagayama, Masaharu
3
2018
Poisson-Nernst-Planck equations with steric effects – non-convexity and multiple stationary solutions. Zbl 1381.35187
Gavish, Nir
3
2018
KdV equation beyond standard assumptions on initial data. Zbl 1380.35138
Rybkin, Alexei
3
2018
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice. Zbl 1390.37125
Penati, 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 1390.81147
Georgiev, Vladimir; Stefanov, Atanas
3
2018
Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205
Cheskidov, 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 1415.37046
Eilertsen, Justin S.; Magnan, Jerry F.
3
2018
4-wave dynamics in kinetic wave turbulence. Zbl 1386.82051
Chibbaro, Sergio; Dematteis, Giovanni; Rondoni, Lamberto
2
2018
Phase models and clustering in networks of oscillators with delayed coupling. Zbl 1375.34059
Campbell, Sue Ann; Wang, Zhen
2
2018
Decay of Kadomtsev-Petviashvili lumps in dissipative media. Zbl 1381.35010
Clarke, S.; Gorshkov, K.; Grimshaw, R.; Stepanyants, Y.
2
2018
Synchronisation under shocks: the Lévy Kuramoto model. Zbl 1381.34054
Roberts, Dale; Kalloniatis, Alexander C.
2
2018
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144 Cao, Jinde
122 Ha, Seung-Yeal
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92 Llibre, Jaume
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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. F.
36 Sherratt, Jonathan A.
35 Duan, Jinqiao
35 Han, Maoan
35 Kolokolnikov, Theodore
35 Sandstede, Björn
35 Stewart, Ian Nicholas
35 Valls Anglés, Cláudia
34 Fokas, Athanassios S.
34 He, Jingsong
34 Jolly, Michael S.
34 Osher, Stanley Joel
34 Zaslavski, Alexander Yakovlevich
33 Caldas, Iberê L.
33 Colli, Pierluigi
33 Dehghan Takht Fooladi, Mehdi
33 Doering, Charles R.
33 Kuznetsov, Sergey P.
33 Lakshmanan, Muthusamy
33 Letellier, Christophe
33 Tian, Lixin
33 Turaev, Dmitry V.
33 Yang, Tong
33 Yang, Xiaofeng
33 Yang, Xiaosong
32 Boyd, John Philip
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