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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: 7,098 Publications (since 1980)
References Indexed: 6,947 Publications with 204,855 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 Dallas
26 Meiss, James D.
24 Holmes, Philip J.
24 Zakharov, Vladimir Evgen’evich
23 Nepomnyashchy, Alexander A.
23 Pikovsky, Arkady S.
23 Wiggins, Stephen
20 Pelinovsky, Dmitry Efimovich
19 Champneys, Alan R.
19 Jones, Christopher K. R. T.
19 Judd, Kevin
19 Kramer, Lorenz
19 Majda, Andrew J.
18 Ashwin, Peter
18 Grimshaw, Roger Hamilton James
18 Haller, George
18 Kurths, Jürgen
18 Marsden, Jerrold Eldon
17 Bressloff, Paul C.
17 Grebogi, Celso
17 Nazarenko, Sergeĭ Vital’evich
17 Smyth, Noel Frederick
16 Aubry, Serge J.
16 Bollt, Erik M.
16 Doering, Charles Rogers
16 Ghil, Michael
16 Gibbon, John D.
16 Kevrekidis, Ioannis George
16 Mezić, Igor
16 Riecke, Hermann
16 Swinney, Harry L.
16 Vivaldi, Franco
16 Wei, Juncheng
15 Chaté, Hugues
15 Dullin, Holger R.
15 Fibich, Gadi
15 Haken, Hermann
15 Percival, Ian C.
15 Simó, Carles
14 Ablowitz, Mark Jay
14 Christiansen, Peter Leth
14 Kaup, David J.
14 Llibre, Jaume
14 McLaughlin, David W.
14 Minzoni, Antonmaria Alessio
14 Zumbrun, Kevin R.
13 Bridges, Thomas J.
13 Eilbeck, John Chris
13 Ercolani, Nicholas M.
13 Golubitsky, Martin A.
13 Gunji, Yukio-Pegio
13 Miller, Peter D.
13 Moloney, Jerome V.
13 Sandstede, Björn
13 Silber, Mary
13 Temam, Roger Meyer
13 Tyson, John J.
13 Vulpiani, Angelo
12 Beck, Christian
12 Brachet, Marc-Etienne
12 Camassa, Roberto
12 Cuevas Maraver, Jesús
12 Feng, Baofeng
12 Keener, James P.
12 Lichtenberg, Allan J.
12 Sakaguchi, Hidetsugu
12 Small, Michael
12 Tabor, Michael
12 Thiffeault, Jean-Luc
12 Titi, Edriss Saleh
11 Aihara, Kazuyuki
11 Aurich, Ralf
11 Doelman, Arjen
11 Foiaş, Ciprian Ilie
11 Forest, Mark Gregory
11 Inaba, Naohiko
11 Moroz, Irene M.
11 Mosekilde, Erik
11 Pomeau, Yves
11 Sherratt, Jonathan A.
11 Sulem, Pierre-Louis
11 Wattis, Jonathan A. D.
10 Aranson, Igor S.
10 Bayliss, Alvin
10 Bishop, Alan Reginald
10 Bonilla, Luis Lopez
10 Bountis, Tassos C.
10 Constantin, Peter
10 Deconinck, Bernard
10 Duan, Jinqiao
10 Eyink, Gregory L.
10 Fokas, Athanassios S.
...and 8,994 more Authors
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Fields

2,790 Dynamical systems and ergodic theory (37-XX)
2,153 Partial differential equations (35-XX)
1,681 Fluid mechanics (76-XX)
880 Ordinary differential equations (34-XX)
856 Statistical mechanics, structure of matter (82-XX)
807 Biology and other natural sciences (92-XX)
495 Mechanics of particles and systems (70-XX)
385 Quantum theory (81-XX)
355 Numerical analysis (65-XX)
348 Optics, electromagnetic theory (78-XX)
255 Computer science (68-XX)
239 Probability theory and stochastic processes (60-XX)
239 Mechanics of deformable solids (74-XX)
218 Systems theory; control (93-XX)
216 Classical thermodynamics, heat transfer (80-XX)
168 Geophysics (86-XX)
152 Global analysis, analysis on manifolds (58-XX)
150 Statistics (62-XX)
145 Information and communication theory, circuits (94-XX)
81 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
78 Difference and functional equations (39-XX)
60 Operations research, mathematical programming (90-XX)
56 Integral equations (45-XX)
51 Astronomy and astrophysics (85-XX)
49 Combinatorics (05-XX)
47 Differential geometry (53-XX)
42 General and overarching topics; collections (00-XX)
39 Measure and integration (28-XX)
36 Real functions (26-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
31 Operator theory (47-XX)
28 Relativity and gravitational theory (83-XX)
21 Functions of a complex variable (30-XX)
20 Number theory (11-XX)
18 Algebraic geometry (14-XX)
18 Special functions (33-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 General topology (54-XX)
15 Nonassociative rings and algebras (17-XX)
15 Manifolds and cell complexes (57-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
11 Algebraic topology (55-XX)
10 History and biography (01-XX)
10 Topological groups, Lie groups (22-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
8 Approximations and expansions (41-XX)
7 Convex and discrete geometry (52-XX)
5 Functional analysis (46-XX)
4 Mathematical logic and foundations (03-XX)
4 Category theory; homological algebra (18-XX)
4 Integral transforms, operational calculus (44-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Potential theory (31-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

5,714 Publications have been cited 69,216 times in 42,562 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.
806
1981
Measuring the strangeness of strange attractors. Zbl 0593.58024
Grassberger, Peter; Procaccia, Itamar
475
1983
From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022
Strogatz, Steven H.
309
2000
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166
Jimbo, Michio; Miwa, Tetsuji
255
1981
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
247
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
240
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
233
2003
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.
217
1993
Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001
Gopalsamy, K.; He, Xue-zhong
213
1994
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345
Fuchssteiner, Benno
211
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
206
1992
Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
205
1999
On a class of physically important integrable equations. Zbl 1194.35363
Fokas, A. S.
205
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.
187
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.
178
2005
Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031
Nusse, Helena E.; Yorke, James A.
167
1992
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
166
2001
Hidden attractor in smooth Chua systems. Zbl 1277.34052
Leonov, G. A.; Kuznetsov, N. V.; Vagaitsev, V. I.
165
2012
Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022
Wang, Bixiang
165
1999
Extracting qualitative dynamics from experimental data. Zbl 0603.58040
Broomhead, D. S.; King, Gregory P.
165
1986
Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052
Farmer, J. Doyne
164
1982
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
Penrose, Oliver; Fife, Paul C.
161
1990
An overview of Rayleigh-Taylor instability. Zbl 0577.76047
Sharp, D. H.
161
1984
The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026
Hentschel, H. G. E.; Procaccia, Itamar
154
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
146
2006
Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554
Schäfer, T.; Wayne, C. E.
144
2004
Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013
Nicolaenko, B.; Scheurer, B.; Temam, R.
139
1985
Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072
Lamb, Jeroen S. W.; Roberts, John A. G.
138
1998
Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059
Aubry, Serge
137
1997
Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622
Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin
132
2004
Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163
Zaslavsky, G. M.
132
1994
The reduction problem and the inverse scattering method. Zbl 1194.37113
Mikhailov, Alexander V.
132
1981
Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077
Haller, G.
131
2001
Nonlinear prediction of chaotic time series. Zbl 0671.62099
Casdagli, Martin
131
1989
Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
Watanabe, Shinya; Strogatz, Steven H.
129
1994
Strange attractors that are not chaotic. Zbl 0588.58036
Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A.
124
1984
Energy method for Boltzmann equation. Zbl 1098.82618
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien
124
2004
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
123
2005
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
123
1980
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.
123
1983
Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010
Erneux, Thomas; Nicolis, Grégoire
119
1993
Transport in Hamiltonian systems. Zbl 0585.58039
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
119
1984
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
Gopalsamy, K.; Leung, I.
118
1996
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C.
116
1989
Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165
Karpman, V. I.; Shagalov, A. G.
116
2000
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
Haller, G.; Yuan, G.
116
2000
Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602
Rowley, Clarence W.; Colonius, Tim; Murray, Richard M.
115
2004
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088
van Saarloos, Wim; Hohenberg, P. C.
114
1992
Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204
Hunter, John K.; Scheurle, Jürgen
113
1988
Fractal basin boundaries. Zbl 0588.58033
McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
113
1985
Integrable mappings and soliton equations. II. Zbl 0679.58024
Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J.
111
1989
Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011
Eyink, Gregory L.
111
1994
Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018
Tyson, John J.; Keener, James P.
111
1988
Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310
Tavazoei, Mohammad Saleh; Haeri, Mohammad
109
2008
Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
Sandstede, Björn; Scheel, Arnd
108
2000
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.
108
1982
Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069
Olien, Leonard; Bélair, Jacques
107
1997
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
106
2012
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.
103
1990
Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520
Kaneko, Kunihiko
103
1990
Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459
Lions, P. L.
103
1982
Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175
Kobayashi, Ryo
102
1993
Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057
102
2000
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
Iron, David; Ward, Michael J.; Wei, Juncheng
101
2001
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
101
2004
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
Dullin, H. R.; Gottwald, G. A.; Holm, D. D.
101
2004
The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025
Weiss, John
100
1991
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.
100
2006
Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385
Cao, Liangyue
98
1997
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, Charles R.; Gibbon, John D.; Levermore, C. David
96
1994
New applications of variational iteration method. Zbl 1084.35539
Abdou, M. A.; Soliman, A. A.
96
2005
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
94
1986
Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
93
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
91
2004
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027
Armbruster, Dieter; Guckenheimer, John; Holmes, Philip
91
1988
Fourth-order symplectic integration. Zbl 0713.65044
Forest, Etienne; Ruth, Ronald D.
90
1990
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
90
1994
Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081
Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning
89
2007
Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079
Guo, Shangjiang; Huang, Lihong
89
2003
State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103
Chuang, Yao-Li; D’Orsogna, Maria R.; Marthaler, Daniel; Bertozzi, Andrea L.; Chayes, Lincoln S.
88
2007
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
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
Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507
Wendlandt, Jeffrey M.; Marsden, Jerrold E.
87
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.
87
1993
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
A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028
d’Onofrio, Alberto
86
2005
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
85
1993
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
85
1982
Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017
Clarkson, Peter A.; Mansfield, Elizabeth L.
84
1994
Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030
Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S.
83
1990
Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002
Wang, Lin; Zou, Xingfu
83
2002
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Zbl 0984.92502
Mohamad, Sannay
82
2001
A variational theory of hyperbolic Lagrangian coherent structures. Zbl 1214.37056
Haller, George
81
2011
Integrable equations arising from motions of plane curves. Zbl 0987.35139
Chou, Kaiseng; Qu, Changzheng
80
2002
An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060
Xu, Yong; Duan, Jinqiao; Xu, Wei
80
2011
Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139
Constantin, Adrian; Molinet, Luc
79
2001
Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies. Zbl 1487.35270
Ma, Wen-Xiu
11
2022
Kadomtsev-Petviashvili equation: one-constraint method and lump pattern. Zbl 1484.35121
Dong, Jieyang; Ling, Liming; Zhang, Xiaoen
3
2022
Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method. Zbl 07487485
Senyange, B.; Skokos, Ch.
3
2022
Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials. Zbl 1486.85018
Patsis, P. A.; Manos, T.; Chaves-Velasquez, L.; Skokos, Ch.; Puerari, I.
1
2022
Nanoptera in nonlinear woodpile chains with zero precompression. Zbl 1490.76223
Deng, G.; Lustri, C. J.
1
2022
Reversibility of number-conserving 1D cellular automata: unlocking insights into the dynamics for larger state sets. Zbl 07479417
Wolnik, Barbara; Dziemiańczuk, Maciej; Dzedzej, Adam; De Baets, Bernard
1
2022
Suppression of singularities of solutions of the Euler-Poisson system with density-dependent damping. Zbl 07479419
Rozanova, Olga S.
1
2022
Integrability, conservation laws and solitons of a many-body dynamical system associated with the half-wave maps equation. Zbl 07479425
Matsuno, Yoshimasa
1
2022
Solution landscape of the Onsager model identifies non-axisymmetric critical points. Zbl 07479426
Yin, Jianyuan; Zhang, Lei; Zhang, Pingwen
1
2022
Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations. Zbl 1490.35401
Chen, Yong; Yan, Zhenya; Malomed, Boris A.
1
2022
Anomalous diffusion in single and coupled standard maps with extensive chaotic phase spaces. Zbl 07487468
Moges, Henok Tenaw; Manos, Thanos; Skokos, Charalampos
1
2022
Progress, gaps and obstacles in the classification of cellular automata. Zbl 07487477
Vispoel, Milan; Daly, Aisling J.; Baetens, Jan M.
1
2022
Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: asymptotic analysis and emergence of rogue waves. Zbl 1484.35137
Zhang, Shan-Shan; Xu, Tao; Li, Min; Zhang, Xue-Feng
1
2022
Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system. Zbl 1484.35132
Sheng, Han-Han; Yu, Guo-Fu
1
2022
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. Zbl 1490.35459
Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya
1
2022
Comparing the dynamics of COVID-19 infection and mortality in the United States, India, and Brazil. Zbl 1486.92237
James, Nick; Menzies, Max; Bondell, Howard
1
2022
Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions. Zbl 1487.35272
Yang, Jin-Jie; Tian, Shou-Fu; Li, Zhi-Qiang
1
2022
Multi-component universal character hierarchy and its polynomial tau-functions. Zbl 1483.14060
Li, Chuanzhong
1
2022
Bilinear equations in Darboux transformations by boson-fermion correspondence. Zbl 1486.81178
Yang, Yi; Cheng, Jipeng
1
2022
Regions without invariant tori of given class for the planar circular restricted three-body problem. Zbl 07529687
Kallinikos, N.; MacKay, R. S.; Syndercombe, T.
1
2022
A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093
Geng, Xianguo; Li, Ruomeng; Xue, Bo
1
2022
\(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm. Zbl 1491.35307
Peng, Wei-Qi; Chen, Yong
1
2022
The nature of reactive and non-reactive trajectories for a three dimensional caldera potential energy surface. Zbl 07529715
Katsanikas, M.; Wiggins, S.
1
2022
The numerical search for the internal dynamics of NHIMs and their pictorial representation. Zbl 07548979
Gonzalez Montoya, Francisco; Jung, Christof
1
2022
Poisson brackets and truncations in nonlinear reduced fluid models for plasmas. Zbl 07548984
Tassi, E.
1
2022
Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems. Zbl 07579755
Rao, Jiguang; Kanna, T.; Mihalache, Dumitru; He, Jingsong
1
2022
Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy. Zbl 1491.37062
Yang, Bo; Yang, Jianke
7
2021
Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation. Zbl 1484.35124
Guo, Lijuan; Chabchoub, Amin; He, Jingsong
6
2021
Rogue wave patterns in the nonlinear Schrödinger equation. Zbl 07479450
Yang, Bo; Yang, Jianke
6
2021
Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales. Zbl 1491.76030
Zhou, Ye; Williams, Robin J. R.; Ramaprabhu, Praveen; Groom, Michael; Thornber, Ben; Hillier, Andrew; Mostert, Wouter; Rollin, Bertrand; Balachandar, S.; Powell, Phillip D.; Mahalov, Alex; Attal, N.
5
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.
3
2021
Explicit formulae for the peak time of an epidemic from the SIR model. Zbl 1485.92161
Turkyilmazoglu, Mustafa
3
2021
The robust inverse scattering method for focusing Ablowitz-Ladik equation on the non-vanishing background. Zbl 1486.81160
Chen, Yiren; Feng, Bao-Feng; Ling, Liming
3
2021
Birkhoff averages and the breakdown of invariant tori in volume-preserving maps. Zbl 1491.37076
Meiss, J. D.; Sander, E.
3
2021
The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts. Zbl 1491.37019
Ercolani, Nicholas M.; Ramalheira-Tsu, Jonathan
2
2021
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada-Kotera equation. Zbl 1484.35136
Yin, Zhe-Yong; Tian, Shou-Fu
2
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
Emergent behaviors of relativistic flocks on Riemannian manifolds. Zbl 1491.37077
Ahn, Hyunjin; Ha, Seung-Yeal; Kang, Myeongju; Shim, Woojoo
2
2021
Controlling reaction dynamics in chemical model systems through external driving. Zbl 1485.92182
Reiff, Johannes; Bardakcioglu, Robin; Feldmaier, Matthias; Main, Jörg; Hernandez, Rigoberto
2
2021
Tensor-based computation of metastable and coherent sets. Zbl 1486.65045
Nüske, Feliks; Gelß, Patrick; Klus, Stefan; Clementi, Cecilia
2
2021
Learning dynamical systems from data: a simple cross-validation perspective. I: Parametric kernel flows. Zbl 07477838
Hamzi, Boumediene; Owhadi, Houman
2
2021
Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation. Zbl 1490.35441
Parker, Ross; Aceves, Alejandro
2
2021
Epidemic models with discrete state structures. Zbl 1485.92141
Liu, Suli; Li, Michael Y.
2
2021
Supervised learning from noisy observations: combining machine-learning techniques with data assimilation. Zbl 07477859
Gottwald, Georg A.; Reich, Sebastian
2
2021
Dynamic coupling in small-world outer synchronization of chaotic networks. Zbl 1491.37083
Arellano-Delgado, A.; López-Gutiérrez, R. M.; Méndez-Ramírez, R.; Cardoza-Avendaño, L.; Cruz-Hernández, C.
2
2021
A novel antimonotic hyperjerk system: analysis, synchronization and circuit design. Zbl 1491.37084
Zambrano-Serrano, Ernesto; Anzo-Hernández, Andrés
2
2021
Evolutionary dynamics of cooperation in the \(N\)-person stag hunt game. Zbl 1485.91025
Luo, Qin; Liu, Linjie; Chen, Xiaojie
2
2021
Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits. Zbl 1491.37029
Kvalheim, Matthew D.; Revzen, Shai
2
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
2
2021
Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation. Zbl 1487.35057
Di, Huafei; Li, Ji; Liu, Yue
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
On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves. Zbl 07479402
Dougalis, Vassilios A.; Durán, Angel; Saridaki, Leetha
2
2021
Pattern formation in hyperbolic models with cross-diffusion: theory and applications. Zbl 1484.35038
Currò, C.; Valenti, G.
2
2021
Large speed traveling waves for the Rosenzweig-MacArthur predator-prey model with spatial diffusion. Zbl 07491124
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre
2
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
2
2021
A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise. Zbl 07493986
Li, Yang; Duan, Jinqiao
2
2021
Deep regularization and direct training of the inner layers of neural networks with kernel flows. Zbl 07477782
Yoo, Gene Ryan; Owhadi, Houman
1
2021
Actively deforming porous media in an incompressible fluid: a variational approach. Zbl 07477786
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang
1
2021
Recovery of the nearest potential field from the \(m\) observed eigenvalues. Zbl 07477787
Ilyasov, Yavdat; Valeev, Nur
1
2021
Arnold web and dynamical tunneling in a four-site Bose-Hubbard model. Zbl 1486.81114
Karmakar, Sourav; Keshavamurthy, Srihari
1
2021
Symmetry & critical points for a model shallow neural network. Zbl 1491.37049
Arjevani, Yossi; Field, Michael
1
2021
Hamiltonian chaos and differential geometry of configuration space-time. Zbl 1491.37053
Di Cairano, Loris; Gori, Matteo; Pettini, Giulio; Pettini, Marco
1
2021
Two relaxation times and thermal nonlinear waves along wires with lateral heat exchange. Zbl 1489.80004
Sciacca, Michele
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
Isometries of the hypercube: a tool for Boolean regulatory networks analysis. Zbl 1491.37040
Fabre-Monplaisir, Jean; Mossé, Brigitte; Remy, Élisabeth
1
2021
Topological dynamics of volume-preserving maps without an equatorial heteroclinic curve. Zbl 1491.37072
Arenson, Joshua G.; Mitchell, Kevin A.
1
2021
The quantum canonical ensemble in phase space. Zbl 07477882
Ozorio de Almeida, Alfredo M.; Ingold, Gert-Ludwig; Brodier, Olivier
1
2021
Persisting asymmetry in the probability distribution function for a random advection-diffusion equation in impermeable channels. Zbl 1491.76071
Camassa, Roberto; Ding, Lingyun; Kilic, Zeliha; McLaughlin, Richard M.
1
2021
About the robustness of 1d cellular automata revising their temporal entropy. Zbl 1491.37020
Roth, Tim Otto
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
Trends in COVID-19 prevalence and mortality: a year in review. Zbl 1490.92091
James, Nick; Menzies, Max
1
2021
Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method. Zbl 1484.35122
Dubrovsky, V. G.; Topovsky, A. V.
1
2021
Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of ‘self-steepening’ nonlinearity. Zbl 1491.76034
Yin, H. M.; Chow, K. W.
1
2021
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning. Zbl 1484.35134
Wang, Li; Yan, Zhenya
1
2021
An algorithm for computing phase space structures in chemical reaction dynamics using Voronoi tessellation. Zbl 1490.92132
Mizuno, Yuta; Takigawa, Mikoto; Miyashita, Saki; Nagahata, Yutaka; Teramoto, Hiroshi; Komatsuzaki, Tamiki
1
2021
Effect of random fluctuations on minimizing the complexity of universal asynchronous cellular automata. Zbl 07479403
Fei, Li-Juan; Lee, Jia; Huang, Xin; Peper, Ferdinand
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
Asymptotic expansions for a degenerate canard explosion. Zbl 07479439
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
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
The structure of algebraic solitons and compactons in the generalized Korteweg-de Vries equation. Zbl 07479447
Pelinovsky, Efim; Talipova, Tatiana; Soomere, Tarmo
1
2021
Order and chaos in time periodic Hamiltonian systems. Zbl 1491.37058
Tzemos, A. C.; Contopoulos, G.
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
Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary. Zbl 07479455
Li, Tao; Llibre, Jaume
1
2021
Optimal periodic structures with general space group symmetries in the Ohta-Kawasaki problem. Zbl 1489.82102
van den Berg, Jan Bouwe; Williams, J. F.
1
2021
Grassmannian flows and applications to non-commutative non-local and local integrable systems. Zbl 1485.35010
Doikou, Anastasia; Malham, Simon J. A.; Stylianidis, Ioannis
1
2021
Generating nonlinear codes for multi-bit symbol error correction using cellular automata. Zbl 07491134
Maiti, Swapan; Sengupta, Meghna; Roy Chowdhury, Dipanwita
1
2021
Suppressing birhythmicity by parametrically modulating nonlinearity in limit cycle oscillators. Zbl 07493968
Saha, Sandip; Chakraborty, Sagar; Gangopadhyay, Gautam
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
Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions. Zbl 07493977
Yang, Yiling; Fan, Engui
1
2021
Hamiltonian classical thermodynamics and chemical kinetics. Zbl 1487.80002
Farantos, Stavros C.
1
2021
The Shannon entropy: an efficient indicator of dynamical stability. Zbl 07493982
Cincotta, Pablo M.; Giordano, Claudia M.; Alves Silva, Raphael; Beaugé, Cristián
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
17
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
16
2020
Stationary and non-stationary patterns of the density-suppressed motility model. Zbl 1453.37086
Ma, Manjun; Peng, Rui; Wang, Zhian
10
2020
Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161
Zhao, Peng; Fan, Engui
8
2020
Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability. Zbl 1490.35399
Chen, Jinbing; Pelinovsky, Dmitry E.; White, Robert E.
8
2020
Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. Zbl 07492621
Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
7
2020
Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation. Zbl 1453.37066
Mu, Gui; Qin, Zhenyun; Grimshaw, Roger; Akhmediev, Nail
6
2020
Nanoptera and Stokes curves in the 2-periodic Fermi-Pasta-Ulam-Tsingou equation. Zbl 1453.82045
Lustri, Christopher J.
5
2020
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146 Cao, Jinde
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103 Llibre, Jaume
100 Kurths, Jürgen
93 Wazwaz, Abdul-Majid Abdul-Rahman
90 Huang, Lihong
89 Wei, Juncheng
88 Titi, Edriss Saleh
82 Yin, Zhaoyang
75 Liao, Xiaofeng
73 Pelinovsky, Dmitry Efimovich
70 Majda, Andrew J.
67 Haller, George
67 Kevrekidis, Panayotis G.
66 Marsden, Jerrold Eldon
65 Jafari, Sajad
65 Wang, Xingyuan
65 Xu, Wei
65 Zumbrun, Kevin R.
64 Holm, Darryl Dallas
64 Knobloch, Edgar
63 Temam, Roger Meyer
62 Carrillo de la Plata, José Antonio
60 Liu, Yue
60 Qu, Changzheng
57 Miranville, Alain M.
56 Geng, Xianguo
55 Ashwin, Peter
55 Fan, Engui
54 Malomed, Boris A.
54 Xu, Jian
53 Pham, Viet-Thanh
53 Wang, Bixiang
52 Gardini, Laura
52 Ma, Wen-Xiu
52 Wei, Junjie
52 Zhang, Wei
51 Mu, Chunlai
50 Aihara, Kazuyuki
50 de la Llave, Rafael
50 Mezić, Igor
49 Zhou, Shengfan
47 Meiss, James D.
47 Sprott, Julien Clinton
46 Calogero, Francesco A.
45 Grebogi, Celso
45 Kapitaniak, Tomasz
45 Li, Jibin
45 Pikovsky, Arkady S.
44 Qiao, Zhijun
44 Wiggins, Stephen
43 Bollt, Erik M.
43 Kudryashov, Nikolaĭ Alekseevich
43 MacKay, Robert Sinclair
43 Ward, Michael J.
42 Gao, Hongjun
42 Grimshaw, Roger Hamilton James
42 Guo, Shangjiang
42 Small, Michael
42 Yang, Xiaofeng
41 Caldas, Iberê L.
41 Jiang, Haijun
41 Liu, Zengrong
41 Valls Anglés, Cláudia
40 He, Jingsong
39 Kevrekidis, Ioannis George
39 Li, Chuandong
39 Sanjuán, Miguel A. F.
39 Wei, Zhouchao
38 Dehghan Takht Fooladi, Mehdi
38 Han, Maoan
38 Rajagopal, Karthikeyan
38 Sandstede, Björn
38 Yorke, James Alan
37 Ablowitz, Mark Jay
37 Grammaticos, Basil
37 Jolly, Michael S.
37 Sherratt, Jonathan A.
36 Crutchfield, James P.
36 Duan, Jinqiao
36 Foiaş, Ciprian Ilie
36 Osher, Stanley Joel
36 Ramani, Alfred
36 Tian, Lixin
36 Yang, Xiaosong
35 Colli, Pierluigi
35 Fokas, Athanassios S.
35 Froyland, Gary
35 Kolokolnikov, Theodore
35 Stewart, Ian Nicholas
34 Algaba, Antonio
34 Bertola, Marco
34 Bi, Qinsheng
34 Doering, Charles Rogers
34 Jiang, Weihua
34 Krauskopf, Bernd
34 Lakshmanan, Muthusamy
34 Letellier, Christophe
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