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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: 7,053 Publications (since 1980)
References Indexed: 6,849 Publications with 201,075 References.
all top 5

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)

Publications by Year

Citations contained in zbMATH Open

5,602 Publications have been cited 67,155 times in 41,204 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.
779
1981
Measuring the strangeness of strange attractors. Zbl 0593.58024
Grassberger, Peter; Procaccia, Itamar
468
1983
From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022
Strogatz, Steven H.
304
2000
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166
Jimbo, Michio; Miwa, Tetsuji
253
1981
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
242
1996
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
237
1981
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
218
2003
Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001
Gopalsamy, K.; He, Xue-zhong
212
1994
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.
209
1993
Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
202
1999
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345
Fuchssteiner, Benno
201
1996
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
197
1992
On a class of physically important integrable equations. Zbl 1194.35363
Fokas, A. S.
196
1995
The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. Zbl 1237.37059
Aubry, S.; Le Daeron, P. Y.
185
1983
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.
173
2005
Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031
Nusse, Helena E.; Yorke, James A.
166
1992
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
163
2001
Extracting qualitative dynamics from experimental data. Zbl 0603.58040
Broomhead, D. S.; King, Gregory P.
162
1986
Hidden attractor in smooth Chua systems. Zbl 1277.34052
Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
161
2012
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
Penrose, Oliver; Fife, Paul C.
159
1990
An overview of Rayleigh-Taylor instability. Zbl 0577.76047
Sharp, D. H.
159
1984
Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022
Wang, Bixiang
159
1999
Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052
Farmer, J. Doyne
159
1982
The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026
Hentschel, H. G. E.; Procaccia, Itamar
149
1983
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.
149
1987
New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031
Lu, Wenlian; Chen, Tianping
145
2006
Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072
Lamb, Jeroen S. W.; Roberts, John A. G.
135
1998
Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013
Nicolaenko, B.; Scheurer, B.; Temam, R.
133
1985
Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059
Aubry, Serge
133
1997
Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554
Schäfer, T.; Wayne, C. E.
130
2004
Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163
Zaslavsky, G. M.
129
1994
The reduction problem and the inverse scattering method. Zbl 1194.37113
Mikhailov, Alexander V.
129
1981
Nonlinear prediction of chaotic time series. Zbl 0671.62099
Casdagli, Martin
127
1989
Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
Watanabe, Shinya; Strogatz, Steven H.
127
1994
Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077
Haller, G.
126
2001
Energy method for Boltzmann equation. Zbl 1098.82618
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien
123
2004
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
122
2005
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
122
1980
Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622
Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin
120
2004
Strange attractors that are not chaotic. Zbl 0588.58036
Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A.
120
1984
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.
120
1983
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
Gopalsamy, K.; Leung, I.
118
1996
Transport in Hamiltonian systems. Zbl 0585.58039
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
115
1984
Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010
Erneux, Thomas; Nicolis, Grégoire
115
1993
Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602
Rowley, Clarence W.; Colonius, Tim; Murray, Richard M.
113
2004
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088
van Saarloos, Wim; Hohenberg, P. C.
113
1992
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C.
112
1989
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
Haller, G.; Yuan, G.
112
2000
Fractal basin boundaries. Zbl 0588.58033
McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
112
1985
Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204
Hunter, John K.; Scheurle, Jürgen
111
1988
Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018
Tyson, John J.; Keener, James P.
110
1988
Integrable mappings and soliton equations. II. Zbl 0679.58024
Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J.
110
1989
Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165
Karpman, V. I.; Shagalov, A. G.
110
2000
Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069
Olien, Leonard; Bélair, Jacques
106
1997
Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011
Eyink, Gregory L.
106
1994
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.
106
1982
Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
Sandstede, Björn; Scheel, Arnd
106
2000
Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310
Tavazoei, Mohammad Saleh; Haeri, Mohammad
105
2008
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
103
2012
Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459
Lions, P. L.
103
1982
Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026
Painter, Kevin J.; Hillen, Thomas
103
2011
Amplitude response of coupled oscillators. Zbl 0703.34047
Aronson, D. G.; Ermentrout, G. B.; Kopell, N.
101
1990
Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520
Kaneko, Kunihiko
100
1990
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
99
2004
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
Iron, David; Ward, Michael J.; Wei, Juncheng
99
2001
The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025
Weiss, John
98
1991
Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057
98
2000
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
Dullin, H. R.; Gottwald, G. A.; Holm, D. D.
97
2004
Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175
Kobayashi, Ryo
96
1993
New applications of variational iteration method. Zbl 1084.35539
Abdou, M. A.; Soliman, A. A.
95
2005
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.
95
2006
Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385
Cao, Liangyue
94
1997
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
92
1986
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, Charles R.; Gibbon, John D.; Levermore, C. David
92
1994
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027
Armbruster, Dieter; Guckenheimer, John; Holmes, Philip
91
1988
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
90
1994
Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
89
2004
Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079
Guo, Shangjiang; Huang, Lihong
88
2003
Fourth-order symplectic integration. Zbl 0713.65044
Forest, Etienne; Ruth, Ronald D.
88
1990
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
88
1999
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
87
2004
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
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.
87
2007
Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081
Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning
86
2007
Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621
Belykh, Igor V.; Belykh, Vladimir N.; Hasler, Martin
86
2004
Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507
Wendlandt, Jeffrey M.; Marsden, Jerrold E.
86
1997
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.
84
1993
A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028
d’Onofrio, Alberto
83
2005
Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002
Wang, Lin; Zou, Xingfu
82
2002
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
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Zbl 0984.92502
Mohamad, Sannay
82
2001
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
82
1993
Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017
Clarkson, Peter A.; Mansfield, Elizabeth L.
82
1994
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
82
1982
Asymptotic analysis of the Navier-Stokes equations. Zbl 0584.35007
Foiaş, Ciprian; Manley, O. P.; Temam, R.; Treve, Y. M.
77
1983
A variational theory of hyperbolic Lagrangian coherent structures. Zbl 1214.37056
Haller, George
77
2011
Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows. Zbl 1178.37119
Froyland, Gary; Padberg, Kathrin
77
2009
Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139
Constantin, Adrian; Molinet, Luc
76
2001
Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies. Zbl 07479423
Ma, Wen-Xiu
4
2022
Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method. Zbl 07487485
Senyange, B.; Skokos, Ch.
2
2022
Nanoptera in nonlinear woodpile chains with zero precompression. Zbl 07479412
Deng, G.; Lustri, C. J.
1
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
1
2022
Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation. Zbl 07477792
Guo, Lijuan; Chabchoub, Amin; He, Jingsong
4
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.
3
2021
Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy. Zbl 07477890
Yang, Bo; Yang, Jianke
3
2021
Rogue wave patterns in the nonlinear Schrödinger equation. Zbl 07479450
Yang, Bo; Yang, Jianke
3
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
2
2021
Explicit formulae for the peak time of an epidemic from the SIR model. Zbl 07477850
Turkyilmazoglu, Mustafa
2
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
2
2021
Travelling wave analysis of cellular invasion into surrounding tissues. Zbl 1482.92034
El-Hachem, Maud; McCue, Scott W.; Simpson, Matthew J.
2
2021
A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise. Zbl 07493986
Li, Yang; Duan, Jinqiao
2
2021
Actively deforming porous media in an incompressible fluid: a variational approach. Zbl 07477786
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang
1
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
1
2021
Tensor-based computation of metastable and coherent sets. Zbl 07477813
Nüske, Feliks; Gelß, Patrick; Klus, Stefan; Clementi, Cecilia
1
2021
Learning dynamical systems from data: a simple cross-validation perspective. I: Parametric kernel flows. Zbl 07477838
Hamzi, Boumediene; Owhadi, Houman
1
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.
1
2021
Epidemic models with discrete state structures. Zbl 07477851
Liu, Suli; Li, Michael Y.
1
2021
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation. Zbl 07477861
Klein, Christian; Roudenko, Svetlana; Stoilov, Nikola
1
2021
A novel antimonotic hyperjerk system: analysis, synchronization and circuit design. Zbl 07477872
Zambrano-Serrano, Ernesto; Anzo-Hernández, Andrés
1
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.
1
2021
Algorithms of data generation for deep learning and feedback design: a survey. Zbl 07477888
Kang, Wei; Gong, Qi; Nakamura-Zimmerer, Tenavi; Fahroo, Fariba
1
2021
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits. Zbl 07477891
Kvalheim, Matthew D.; Revzen, Shai
1
2021
Trends in COVID-19 prevalence and mortality: a year in review. Zbl 07477893
James, Nick; Menzies, Max
1
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
1
2021
Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method. Zbl 07479394
Dubrovsky, V. G.; Topovsky, A. V.
1
2021
Birkhoff averages and the breakdown of invariant tori in volume-preserving maps. Zbl 07479400
Meiss, J. D.; Sander, E.
1
2021
Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: derivations and computations. Zbl 1483.76063
Gao, Yuan; Liu, Jian-Guo
1
2021
On stochastic mirror descent with interacting particles: convergence properties and variance reduction. Zbl 07479442
Borovykh, A.; Kantas, N.; Parpas, P.; Pavliotis, G. A.
1
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
1
2021
Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem. Zbl 07491125
van den Berg, Jan Bouwe; Williams, J. F.
1
2021
Grassmannian flows and applications to non-commutative non-local and local integrable systems. Zbl 07491127
Doikou, Anastasia; Malham, Simon J. A.; Stylianidis, Ioannis
1
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
1
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
1
2021
A geometric approach to bubbling. Zbl 07493974
Avrutin, Viktor; Bastian, Frank; Zhusubaliyev, Zhanybai T.
1
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
12
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
11
2020
Stationary and non-stationary patterns of the density-suppressed motility model. Zbl 1453.37086
Ma, Manjun; Peng, Rui; Wang, Zhian
8
2020
Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161
Zhao, Peng; Fan, Engui
6
2020
Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation. Zbl 1453.82045
Lustri, Christopher J.
5
2020
Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation. Zbl 1453.37066
Mu, Gui; Qin, Zhenyun; Grimshaw, Roger; Akhmediev, Nail
5
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.
5
2020
Nested mixed-mode oscillations. Zbl 1453.34070
Inaba, Naohiko; Kousaka, Takuji
4
2020
Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis. Zbl 1453.76179
Giannakis, Dimitrios; Das, Suddhasattwa
3
2020
Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation. Zbl 1453.65260
Singh, Mehakpreet; Matsoukas, Themis; Walker, Gavin
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
A comparison of two- and three-dimensional single-mode reshocked Richtmyer-Meshkov instability growth. Zbl 1453.76133
Latini, Marco; Schilling, Oleg
3
2020
Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. Zbl 07492621
Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
3
2020
Dispersive shocks in quantum hydrodynamics with viscosity. Zbl 1453.76233
Lattanzio, Corrado; Marcati, Pierangelo; Zhelyazov, Delyan
2
2020
Parametric investigation of the transition to turbulence in Rayleigh-Taylor mixing. Zbl 1453.76059
Morgan, Brandon E.; Black, Wolfgang J.
2
2020
Correlations in area preserving maps: a Shannon entropy approach. Zbl 1453.37007
Cincotta, P. M.; Shevchenko, I. I.
2
2020
A buoyancy-shear-drag-based turbulence model for Rayleigh-Taylor, reshocked Richtmyer-Meshkov, and Kelvin-Helmholtz mixing. Zbl 1453.76055
Schilling, Oleg
2
2020
Autoresonance in weakly dissipative Klein-Gordon chains. Zbl 1453.34053
Kovaleva, Agnessa
2
2020
Inverse problem on conservation laws. Zbl 1453.35192
Popovych, Roman O.; Bihlo, Alexander
2
2020
Irreducibility of the three, and two and a half dimensional Hall-magnetohydrodynamics system. Zbl 1453.76182
Yamazaki, Kazuo
2
2020
Travelling waves for reaction-diffusion equations forced by translation invariant noise. Zbl 1453.35202
Hamster, C. H. S.; Hupkes, H. J.
2
2020
Global dynamics and diffusion in the rational standard map. Zbl 07477827
Cincotta, Pablo M.; Simó, Carles
2
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
2
2020
From optics to dark matter: a review on nonlinear Schrödinger-Poisson systems. Zbl 07490553
Paredes, Angel; Olivieri, David N.; Michinel, Humberto
2
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
2
2020
Weak Serrin-type blowup criterion for three-dimensional nonhomogeneous viscous incompressible heat conducting flows. Zbl 1453.76039
Wang, Yongfu
1
2020
Investigation of stochastic nonlinear dynamics of ocean engineering systems through path integration. Zbl 1453.65024
Varghese, Vini Anna; Saha, Nilanjan
1
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.
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
Symmetric coupling of multiple timescale systems with mixed-mode oscillations and synchronization. Zbl 1453.34052
Fernández-García, Soledad; Vidal, Alexandre
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
A note on the existence of pure gravity waves at the interface of two fluids. Zbl 1453.76024
Maklakov, D. V.
1
2020
Hamiltonian structure of compartmental epidemiological models. Zbl 07477825
Ballesteros, Angel; Blasco, Alfonso; Gutierrez-Sagredo, Ivan
1
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
1
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
1
2020
Topology of dynamical reconstructions from Lagrangian data. Zbl 07477435
Charó, Gisela D.; Artana, Guillermo; Sciamarella, Denisse
1
2020
Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes. Zbl 07477439
Eigentler, L.; Sherratt, J. A.
1
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
1
2020
Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials. Zbl 07490558
Zhu, Qing; Zhou, Zhan; Wang, Lin
1
2020
The generalization of equal-peak method for delay-coupled nonlinear system. Zbl 07490564
Meng, Hao; Sun, Xiuting; Xu, Jian; Wang, Feng
1
2020
Fundamentals of recurrent neural network (RNN) and long short-term memory (LSTM) network. Zbl 07491090
Sherstinsky, Alex
1
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
1
2020
Prevalence of delay embeddings with a fixed observation function. Zbl 07491108
Navarrete, Raymundo; Viswanath, Divakar
1
2020
Multi-lump solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method. Zbl 07491122
Dubrovsky, V. G.; Topovsky, A. V.
1
2020
Snaking branches of planar BCC fronts in the 3D Brusselator. Zbl 07492617
Uecker, Hannes; Wetzel, Daniel
1
2020
Radiation dynamics in fast soliton collisions in the presence of cubic loss. Zbl 07492620
Peleg, Avner; Chakraborty, Debananda
1
2020
A simple model of keratocyte membrane dynamics: the case of motionless living cell. Zbl 07492643
Hamed, Mohammad Abu; Nepomnyashchy, Alexander A.
1
2020
Data-driven predictions of the Lorenz system. Zbl 07492646
Dubois, Pierre; Gomez, Thomas; Planckaert, Laurent; Perret, Laurent
1
2020
Accurate closed-form solution of the SIR epidemic model. Zbl 07492649
Barlow, Nathaniel S.; Weinstein, Steven J.
1
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.
1
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
9
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.
7
2019
On the dynamical stability and instability of parker problem. Zbl 1451.76053
Jiang, Fei; Jiang, Song
7
2019
Micropolar meets Newtonian. The Rayleigh-Bénard problem. Zbl 1451.76057
Kalita, Piotr; Langa, José A.; Łukaszewicz, Grzegorz
7
2019
At most two limit cycles in a piecewise linear differential system with three zones and asymmetry. Zbl 1415.34041
Chen, Hebai; Tang, Yilei
6
2019
Periodic oscillations in age-structured ratio-dependent predator-prey model with Michaelis-Menten type functional response. Zbl 1448.34137
Zhang, Xiangming; Liu, Zhihua
6
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
5
2019
Asymptotic behavior of a neural field lattice model with a heaviside operator. Zbl 1448.82025
Han, Xiaoying; Kloeden, Peter E.
5
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
5
2019
Asymptotic models for free boundary flow in porous media. Zbl 1451.76120
Granero-Belinchón, Rafael; Scrobogna, Stefano
5
2019
Polynomial mixing under a certain stationary Euler flow. Zbl 1451.76035
Crippa, Gianluca; Lucà, Renato; Schulze, Christian
5
2019
Inter-layer synchronization of periodic solutions in two coupled rings with time delay. Zbl 1451.34094
Xu, Xu; Yu, Dongyuan; Wang, Zaihua
5
2019
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144 Cao, Jinde
136 Ha, Seung-Yeal
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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
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