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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
Comments: Journal
Documents Indexed: 7,493 Publications (since 1980)
References Indexed: 7,341 Publications with 223,196 References.
all top 5

Authors

59 Malomed, Boris A.
44 Kevrekidis, Panayotis G.
37 Knobloch, Edgar
34 Ott, Edward
32 Newell, Alan C.
31 MacKay, Robert Sinclair
31 Nepomnyashchy, Alexander A.
30 Kaneko, Kunihiko
28 Holm, Darryl Dallas
28 Meiss, James D.
27 Yorke, James Alan
25 Wiggins, Stephen R.
24 Holmes, Philip J.
24 Pikovsky, Arkady S.
24 Zakharov, Vladimir Evgen’evich
22 Pelinovsky, Dmitry Efimovich
21 Jones, Christopher K. R. T.
19 Ashwin, Peter
19 Champneys, Alan R.
19 Judd, Kevin
19 Kramer, Lorenz
19 Majda, Andrew J.
18 Gibbon, John D.
18 Grimshaw, Roger Hamilton James
18 Haller, George
18 Kurths, Jürgen
18 Marsden, Jerrold Eldon
17 Bressloff, Paul C.
17 Grebogi, Celso
17 Kevrekidis, Ioannis George
17 Nazarenko, Sergeĭ Vital’evich
17 Smyth, Noel Frederick
17 Wei, Juncheng
16 Aubry, Serge J.
16 Bollt, Erik M.
16 Doering, Charles Rogers
16 Dullin, Holger R.
16 Ghil, Michael
16 Mezić, Igor
16 Riecke, Hermann
16 Swinney, Harry L.
16 Vivaldi, Franco
16 Yan, Zhenya
15 Ablowitz, Mark Jay
15 Chaté, Hugues
15 Duan, Jinqiao
15 Fibich, Gadi
15 Haken, Hermann
15 Percival, Ian C.
15 Simó, Carles
14 Christiansen, Peter Leth
14 Ercolani, Nicholas M.
14 Kaup, David J.
14 Llibre, Jaume
14 McLaughlin, David W.
14 Miller, Peter D.
14 Minzoni, Antonmaria Alessio
14 Zumbrun, Kevin R.
13 Bridges, Thomas J.
13 Eilbeck, John Chris
13 Feng, Baofeng
13 Golubitsky, Martin A.
13 Gunji, Yukio-Pegio
13 Inaba, Naohiko
13 Moloney, Jerome V.
13 Pomeau, Yves
13 Sandstede, Björn
13 Silber, Mary
13 Temam, Roger Meyer
13 Titi, Edriss Saleh
13 Tyson, John J.
13 Vulpiani, Angelo
12 Beck, Christian
12 Brachet, Marc-Etienne
12 Camassa, Roberto
12 Cuevas Maraver, Jesús
12 Doelman, Arjen
12 Keener, James P.
12 Lichtenberg, Allan J.
12 Sakaguchi, Hidetsugu
12 Small, Michael
12 Tabor, Michael
12 Thiffeault, Jean-Luc
11 Aihara, Kazuyuki
11 Aurich, Ralf
11 Constantin, Peter
11 Foiaș, Ciprian
11 Forest, Mark Gregory
11 Kolokolnikov, Theodore
11 Moroz, Irene M.
11 Mosekilde, Erik
11 Rica, Sergio
11 Sherratt, Jonathan A.
11 Sulem, Pierre-Louis
11 Wattis, Jonathan A. D.
10 Aranson, Igor S.
10 Bayliss, Alvin
10 Bishop, Alan Reginald
10 Bonilla, Luis Lopez
10 Bountis, Tassos C.
...and 9,627 more Authors
all top 5

Fields

2,910 Dynamical systems and ergodic theory (37-XX)
2,300 Partial differential equations (35-XX)
1,763 Fluid mechanics (76-XX)
925 Ordinary differential equations (34-XX)
879 Statistical mechanics, structure of matter (82-XX)
852 Biology and other natural sciences (92-XX)
528 Mechanics of particles and systems (70-XX)
413 Quantum theory (81-XX)
392 Numerical analysis (65-XX)
365 Optics, electromagnetic theory (78-XX)
292 Computer science (68-XX)
258 Probability theory and stochastic processes (60-XX)
249 Mechanics of deformable solids (74-XX)
234 Systems theory; control (93-XX)
223 Classical thermodynamics, heat transfer (80-XX)
193 Geophysics (86-XX)
163 Statistics (62-XX)
156 Information and communication theory, circuits (94-XX)
155 Global analysis, analysis on manifolds (58-XX)
89 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
88 Difference and functional equations (39-XX)
66 Operations research, mathematical programming (90-XX)
58 Integral equations (45-XX)
52 Combinatorics (05-XX)
52 Astronomy and astrophysics (85-XX)
50 Differential geometry (53-XX)
49 Real functions (26-XX)
44 General and overarching topics; collections (00-XX)
41 Measure and integration (28-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
35 Operator theory (47-XX)
32 Special functions (33-XX)
32 Relativity and gravitational theory (83-XX)
24 Algebraic geometry (14-XX)
22 Nonassociative rings and algebras (17-XX)
22 Functions of a complex variable (30-XX)
21 Number theory (11-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
21 General topology (54-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
16 Manifolds and cell complexes (57-XX)
15 Approximations and expansions (41-XX)
11 Topological groups, Lie groups (22-XX)
11 Algebraic topology (55-XX)
10 History and biography (01-XX)
9 Convex and discrete geometry (52-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
6 Mathematical logic and foundations (03-XX)
5 Functional analysis (46-XX)
4 Field theory and polynomials (12-XX)
4 Commutative algebra (13-XX)
4 Category theory; homological algebra (18-XX)
4 Group theory and generalizations (20-XX)
4 Integral transforms, operational calculus (44-XX)
3 Associative rings and algebras (16-XX)
3 Potential theory (31-XX)
3 Several complex variables and analytic spaces (32-XX)
1 General algebraic systems (08-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

6,152 Publications have been cited 80,295 times in 48,909 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.
937
1981
Measuring the strangeness of strange attractors. Zbl 0593.58024
Grassberger, Peter; Procaccia, Itamar
523
1983
From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022
Strogatz, Steven H.
367
2000
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166
Jimbo, Michio; Miwa, Tetsuji
304
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
301
2003
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
293
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
280
1981
On a class of physically important integrable equations. Zbl 1194.35363
Fokas, A. S.
258
1995
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345
Fuchssteiner, Benno
254
1996
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.
239
1993
Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001
Gopalsamy, K.; He, Xue-zhong
220
1994
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
217
1992
Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
213
1999
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.
204
2005
The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. Zbl 1237.37059
Aubry, S.; Le Daeron, P. Y.
202
1983
Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022
Wang, Bixiang
196
1999
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
184
2001
Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031
Nusse, Helena E.; Yorke, James A.
183
1992
Hidden attractor in smooth Chua systems. Zbl 1277.34052
Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
179
2012
Extracting qualitative dynamics from experimental data. Zbl 0603.58040
Broomhead, D. S.; King, Gregory P.
177
1986
Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554
Schäfer, T.; Wayne, C. E.
174
2004
An overview of Rayleigh-Taylor instability. Zbl 0577.76047
Sharp, D. H.
173
1984
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
Penrose, Oliver; Fife, Paul C.
171
1990
Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052
Farmer, J. Doyne
171
1982
New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031
Lu, Wenlian; Chen, Tianping
170
2006
The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026
Hentschel, H. G. E.; Procaccia, Itamar
168
1983
Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013
Nicolaenko, B.; Scheurer, B.; Temam, R.
167
1985
Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072
Lamb, Jeroen S. W.; Roberts, John A. G.
158
1998
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.
156
1987
Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059
Aubry, Serge
153
1997
Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077
Haller, G.
151
2001
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.
151
1983
The reduction problem and the inverse scattering method. Zbl 1194.37113
Mikhailov, Alexander V.
150
1981
Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011
Eyink, Gregory L.
149
1994
Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602
Rowley, Clarence W.; Colonius, Tim; Murray, Richard M.
148
2004
Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163
Zaslavsky, G. M.
146
1994
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
144
1980
Energy method for Boltzmann equation. Zbl 1098.82618
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien
143
2004
Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
Watanabe, Shinya; Strogatz, Steven H.
142
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.
142
1982
Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165
Karpman, V. I.; Shagalov, A. G.
141
2000
Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622
Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin
140
2004
Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010
Erneux, Thomas; Nicolis, Grégoire
140
1993
Strange attractors that are not chaotic. Zbl 0588.58036
Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A.
138
1984
Nonlinear prediction of chaotic time series. Zbl 0671.62099
Casdagli, Martin
137
1989
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
132
2012
Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175
Kobayashi, Ryo
132
1993
Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204
Hunter, John K.; Scheurle, Jürgen
131
1988
Transport in Hamiltonian systems. Zbl 0585.58039
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
129
1984
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C.
129
1989
Integrable mappings and soliton equations. II. Zbl 0679.58024
Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J.
128
1989
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
Haller, G.; Yuan, G.
128
2000
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
127
2005
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088
van Saarloos, Wim; Hohenberg, P. C.
126
1992
Fractal basin boundaries. Zbl 0588.58033
McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
124
1985
Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018
Tyson, John J.; Keener, James P.
121
1988
Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
Sandstede, Björn; Scheel, Arnd
121
2000
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.
121
2006
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
Gopalsamy, K.; Leung, I.
120
1996
Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026
Painter, Kevin J.; Hillen, Thomas
119
2011
Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310
Tavazoei, Mohammad Saleh; Haeri, Mohammad
119
2008
Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057
118
2000
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
114
1986
Amplitude response of coupled oscillators. Zbl 0703.34047
Aronson, D. G.; Ermentrout, G. B.; Kopell, N.
114
1990
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
Iron, David; Ward, Michael J.; Wei, Juncheng
113
2001
Modulation instability: The beginning. Zbl 1157.37337
Zakharov, V. E.; Ostrovsky, L. A.
113
2009
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
Dullin, H. R.; Gottwald, G. A.; Holm, D. D.
112
2004
Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. Zbl 1098.76603
Chen, Gui-Qiang; Liu, Hailiang
112
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
111
2004
The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025
Weiss, John
110
1991
Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069
Olien, Leonard; Bélair, Jacques
109
1997
Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520
Kaneko, Kunihiko
108
1990
Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459
Lions, P. L.
106
1982
Attractors of non-autonomous stochastic lattice systems in weighted spaces. Zbl 1364.34113
Bates, Peter W.; Lu, Kening; Wang, Bixiang
105
2014
Fourth-order symplectic integration. Zbl 0713.65044
Forest, Etienne; Ruth, Ronald D.
104
1990
Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385
Cao, Liangyue
103
1997
New applications of variational iteration method. Zbl 1084.35539
Abdou, M. A.; Soliman, A. A.
102
2005
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.
101
2007
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.
101
1993
Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement. Zbl 1321.92076
Peng, Rui; Yi, Fengqi
101
2013
An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060
Xu, Yong; Duan, Jinqiao; Xu, Wei
100
2011
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
100
1994
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, Charles R.; Gibbon, John D.; Levermore, C. David
100
1994
Integrable equations arising from motions of plane curves. Zbl 0987.35139
Chou, Kaiseng; Qu, Changzheng
98
2002
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
98
1999
Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
97
2004
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
97
1982
Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139
Constantin, Adrian; Molinet, Luc
96
2001
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027
Armbruster, Dieter; Guckenheimer, John; Holmes, Philip
95
1988
Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081
Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning
95
2007
A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028
d’Onofrio, Alberto
95
2005
Dynamically orthogonal field equations for continuous stochastic dynamical systems. Zbl 1180.37119
Sapsis, Themistoklis P.; Lermusiaux, Pierre F. J.
95
2009
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
95
1993
A variational theory of hyperbolic Lagrangian coherent structures. Zbl 1214.37056
Haller, George
94
2011
Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507
Wendlandt, Jeffrey M.; Marsden, Jerrold E.
93
1997
Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts. Zbl 0984.35030
Ebert, Ute; van Saarloos, Wim
91
2000
Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079
Guo, Shangjiang; Huang, Lihong
91
2003
Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621
Belykh, Igor V.; Belykh, Vladimir N.; Hasler, Martin
90
2004
Zero-noise dynamics after collapse for three point vortices. Zbl 07808012
Grotto, Francesco; Romito, Marco; Viviani, Milo
1
2024
Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions. Zbl 1512.37081
Ma, Wen-Xiu
9
2023
Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions. Zbl 07653434
Lin, Shuning; Chen, Yong
6
2023
Learning dynamical systems from data: a simple cross-validation perspective. III: Irregularly-sampled time series. Zbl 1510.37122
Lee, Jonghyeon; De Brouwer, Edward; Hamzi, Boumediene; Owhadi, Houman
4
2023
Algebro-geometric quasi-periodic solutions to the Satsuma-Hirota hierarchy. Zbl 1519.37081
Geng, Xianguo; Zeng, Xin
4
2023
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data. Zbl 1521.92090
Liu, Kaiwei; Lü, Xing; Gao, Fei; Zhang, Jiang
3
2023
Complex dynamics on the one-dimensional quantum droplets via time piecewise PINNs. Zbl 07736381
Pu, Juncai; Chen, Yong
3
2023
Onsager’s conjecture for subgrid scale \(\alpha\)-models of turbulence. Zbl 1508.76067
Boutros, Daniel W.; Titi, Edriss S.
3
2023
Data-driven method to learn the most probable transition pathway and stochastic differential equation. Zbl 1504.60107
Chen, Xiaoli; Duan, Jinqiao; Hu, Jianyu; Li, Dongfang
3
2023
Do ideas have shape? Idea registration as the continuous limit of artificial neural networks. Zbl 07642857
Owhadi, Houman
3
2023
On the elliptic-localized solutions of the sine-Gordon equation. Zbl 1505.35010
Ling, Liming; Sun, Xuan
3
2023
Interactions of fractional \(N\)-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy. Zbl 1506.35037
Zhang, Minghe; Weng, Weifang; Yan, Zhenya
3
2023
Pseudo-Hamiltonian neural networks with state-dependent external forces. Zbl 1506.68091
Eidnes, Sølve; Stasik, Alexander J.; Sterud, Camilla; Bøhn, Eivind; Riemer-Sørensen, Signe
3
2023
Computation of large-genus solutions of the Korteweg-de Vries equation. Zbl 07695158
Bilman, Deniz; Nabelek, Patrik; Trogdon, Thomas
3
2023
Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system. Zbl 1518.35523
Lyu, Shulin; Chen, Yang; Xu, Shuai-Xia
3
2023
Nonintegrability of the SEIR epidemic model. Zbl 1519.92323
Yagasaki, Kazuyuki
2
2023
Toda lattice with constraint of type B. Zbl 07722814
Krichever, I.; Zabrodin, A.
2
2023
A generically singular type of saddle-node bifurcation that occurs for relativistic shock waves. Zbl 1521.34067
Pellhammer, Valentin
2
2023
Linearized fast time-stepping schemes for time-space fractional Schrödinger equations. Zbl 07736394
Yuan, Wanqiu; Zhang, Chengjian; Li, Dongfang
2
2023
The synchronization of discrete quantum chaotic maps with uncertainty via compensated control technique. Zbl 1516.37145
Wang, Shaofu
2
2023
Long-time asymptotic behavior for the matrix modified Korteweg-de Vries equation. Zbl 1509.35050
Liu, Nan; Zhao, Xiaodan; Guo, Boling
2
2023
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold. Zbl 1517.34083
Carmona, V.; Fernández-García, S.; Teruel, A. E.
2
2023
Wobbling kinks in a two-component scalar field theory: interaction between shape modes. Zbl 07639108
Alonso-Izquierdo, A.; Miguélez-Caballero, D.; Nieto, L. M.; Queiroga-Nunes, J.
2
2023
One-shot learning of stochastic differential equations with data adapted kernels. Zbl 07642851
Darcy, Matthieu; Hamzi, Boumediene; Livieri, Giulia; Owhadi, Houman; Tavallali, Peyman
2
2023
Hopf bifurcation at infinity in 3D relay systems. Zbl 1510.37081
Freire, E.; Ponce, E.; Ros, J.; Vela, E.
2
2023
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez-Schopf delayed oscillator and the irregularity of ENSO. Zbl 1514.37101
Anikushin, Mikhail; Romanov, Andrey
2
2023
Multi-lump wave patterns of KPI via integer partitions. Zbl 1512.65237
Chakravarty, Sarbarish; Zowada, Michael
2
2023
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models. Zbl 07660955
Wilson, Dan
2
2023
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A Liouville-type theorem for the 3D primitive equations. Zbl 1516.35319
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1
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Narrow escape in composite domains forming heterogeneous networks. Zbl 07736370
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Structured heterogeneity of network in evolutionary social dilemmas under assortative linking and learning. Zbl 1521.91033
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Non-smooth dynamics of anti stick-slip tool. Zbl 1509.74040
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On the behavior of multidimensional radially symmetric solutions of the repulsive Euler-Poisson equations. Zbl 1505.35058
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1
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Switching between periodic orbits in impact oscillator by time-delayed feedback methods. Zbl 1510.37131
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Period adding with symmetry breaking/recovering in a power inverter with hysteresis control. Zbl 1505.93172
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Periodic solutions to perturbed nonlinear oscillators with memory. Zbl 1518.34074
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Singular cotangent models in fluids with dissipation. Zbl 07660941
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A new 3-component Degasperis-Procesi hierarchy. Zbl 07695172
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Projective embedding of dynamical systems: uniform mean field equations. Zbl 1520.37022
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Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation. Zbl 1504.35501
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Multi-component universal character hierarchy and its polynomial tau-functions. Zbl 1483.14060
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Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. Zbl 1490.35459
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7
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Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions. Zbl 1487.35272
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7
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Data-driven rogue waves and parameters discovery in nearly integrable \(\mathcal{PT}\)-symmetric Gross-Pitaevskii equations via PINNs deep learning. Zbl 1496.35373
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166 Cao, Jinde
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98 Titi, Edriss Saleh
98 Wei, Juncheng
90 Wazwaz, Abdul-Majid Abdul-Rahman
87 Yin, Zhaoyang
84 Kevrekidis, Panayotis G.
82 Pelinovsky, Dmitry Efimovich
77 Xu, Wei
75 Geng, Xianguo
75 Liao, Xiaofeng
73 Carrillo de la Plata, José Antonio
73 Jafari, Sajad
71 Fan, Engui
70 Holm, Darryl Dallas
70 Majda, Andrew J.
69 Haller, George
69 Wang, Xingyuan
68 Knobloch, Edgar
66 Ma, Wen-Xiu
66 Marsden, Jerrold Eldon
66 Zumbrun, Kevin R.
65 Temam, Roger Meyer
64 Qu, Changzheng
63 Malomed, Boris A.
62 Liu, Yue
62 Miranville, Alain M.
62 Wang, Bixiang
60 Ashwin, Peter
59 He, Jingsong
58 Gardini, Laura
57 Pham, Viet-Thanh
54 de la Llave, Rafael
54 Sprott, Julien Clinton
54 Wei, Junjie
54 Zhang, Wei
53 Duan, Jinqiao
53 Mezić, Igor
53 Qiao, Zhijun
52 Aihara, Kazuyuki
52 Meiss, James D.
52 Mu, Chunlai
52 Yang, Xiaofeng
50 Zhou, Shengfan
49 Pikovsky, Arkady S.
49 Yan, Zhenya
48 Calogero, Francesco A.
48 Kudryashov, Nikolaĭ Alekseevich
48 Rajagopal, Karthikeyan
48 Wiggins, Stephen R.
47 Gao, Hongjun
47 Grebogi, Celso
47 Nepomnyashchy, Alexander A.
47 Valls Anglés, Cláudia
47 Ward, Michael J.
47 Xu, Yong
46 Bollt, Erik M.
46 Jiang, Haijun
46 Kapitaniak, Tomasz
46 Kofané, Timoléon Crépin
46 Li, Jibin
45 Guo, Shangjiang
45 Kevrekidis, Ioannis George
45 MacKay, Robert Sinclair
44 Sanjuán, Miguel A. F.
44 Tian, Shoufu
43 Bi, Qinsheng
43 Grimshaw, Roger Hamilton James
43 Small, Michael
42 Caldas, Iberê L.
42 Dehghan Takht Fooladi, Mehdi
42 Wei, Zhouchao
41 Ablowitz, Mark Jay
41 Kühn, Christian
41 Li, Chuandong
41 Liu, Zengrong
41 Tian, Lixin
41 Wu, Jiahong
41 Xu, Jian
40 Kolokolnikov, Theodore
40 Sandstede, Björn
39 Champneys, Alan R.
39 Gay-Balmaz, François
39 Grammaticos, Basil
39 Han, Maoan
39 Jolly, Michael Summerfield
39 Klein, Christian
39 Scheel, Arnd
39 Sherratt, Jonathan A.
39 Tian, Bo
39 Yorke, James Alan
38 Bertola, Marco
38 Colli, Pierluigi
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