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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: 7,418 Publications (since 1980)
References Indexed: 7,266 Publications with 219,480 References.
all top 5

Authors

59 Malomed, Boris A.
43 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
20 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 Ghil, Michael
16 Mezić, Igor
16 Riecke, Hermann
16 Swinney, Harry L.
16 Vivaldi, Franco
15 Ablowitz, Mark Jay
15 Chaté, Hugues
15 Dullin, Holger R.
15 Fibich, Gadi
15 Haken, Hermann
15 Percival, Ian C.
15 Simó, Carles
15 Yan, Zhenya
14 Christiansen, Peter Leth
14 Duan, Jinqiao
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 9,494 more Authors
all top 5

Fields

2,878 Dynamical systems and ergodic theory (37-XX)
2,272 Partial differential equations (35-XX)
1,744 Fluid mechanics (76-XX)
920 Ordinary differential equations (34-XX)
872 Statistical mechanics, structure of matter (82-XX)
847 Biology and other natural sciences (92-XX)
523 Mechanics of particles and systems (70-XX)
410 Quantum theory (81-XX)
384 Numerical analysis (65-XX)
360 Optics, electromagnetic theory (78-XX)
283 Computer science (68-XX)
251 Probability theory and stochastic processes (60-XX)
248 Mechanics of deformable solids (74-XX)
229 Systems theory; control (93-XX)
223 Classical thermodynamics, heat transfer (80-XX)
188 Geophysics (86-XX)
159 Statistics (62-XX)
154 Information and communication theory, circuits (94-XX)
153 Global analysis, analysis on manifolds (58-XX)
88 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
87 Difference and functional equations (39-XX)
64 Operations research, mathematical programming (90-XX)
58 Integral equations (45-XX)
52 Combinatorics (05-XX)
52 Astronomy and astrophysics (85-XX)
49 Differential geometry (53-XX)
44 General and overarching topics; collections (00-XX)
41 Real functions (26-XX)
41 Measure and integration (28-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
35 Operator theory (47-XX)
32 Relativity and gravitational theory (83-XX)
31 Special functions (33-XX)
23 Algebraic geometry (14-XX)
22 Functions of a complex variable (30-XX)
21 Number theory (11-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
20 Nonassociative rings and algebras (17-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
20 General topology (54-XX)
16 Manifolds and cell complexes (57-XX)
14 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

6,075 Publications have been cited 77,973 times in 47,513 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.
909
1981
Measuring the strangeness of strange attractors. Zbl 0593.58024
Grassberger, Peter; Procaccia, Itamar
521
1983
From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators. Zbl 0983.34022
Strogatz, Steven H.
355
2000
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
290
2003
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Zbl 1194.34166
Jimbo, Michio; Miwa, Tetsuji
290
1981
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
285
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
270
1981
On a class of physically important integrable equations. Zbl 1194.35363
Fokas, A. S.
248
1995
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation. Zbl 0900.35345
Fuchssteiner, Benno
247
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.
234
1993
Stability in asymmetric Hopfield nets with transmission delays. Zbl 0815.92001
Gopalsamy, K.; He, Xue-zhong
218
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
214
1992
Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
210
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.
201
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.
199
1983
Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022
Wang, Bixiang
186
1999
Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031
Nusse, Helena E.; Yorke, James A.
182
1992
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
181
2001
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.
174
1986
An overview of Rayleigh-Taylor instability. Zbl 0577.76047
Sharp, D. H.
171
1984
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
Penrose, Oliver; Fife, Paul C.
170
1990
Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052
Farmer, J. Doyne
169
1982
Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554
Schäfer, T.; Wayne, C. E.
165
2004
The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026
Hentschel, H. G. E.; Procaccia, Itamar
165
1983
New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031
Lu, Wenlian; Chen, Tianping
163
2006
Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013
Nicolaenko, B.; Scheurer, B.; Temam, R.
161
1985
Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072
Lamb, Jeroen S. W.; Roberts, John A. G.
156
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.
154
1987
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
Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059
Aubry, Serge
149
1997
Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077
Haller, G.
148
2001
The reduction problem and the inverse scattering method. Zbl 1194.37113
Mikhailov, Alexander V.
147
1981
Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163
Zaslavsky, G. M.
144
1994
Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011
Eyink, Gregory L.
143
1994
Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
Watanabe, Shinya; Strogatz, Steven H.
140
1994
Energy method for Boltzmann equation. Zbl 1098.82618
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien
139
2004
Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622
Belykh, Vladimir N.; Belykh, Igor V.; Hasler, Martin
139
2004
Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602
Rowley, Clarence W.; Colonius, Tim; Murray, Richard M.
139
2004
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
Jimbo, Michio; Miwa, Tetsuji; Môri, Yasuko; Sato, Mikio
139
1980
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.
138
1982
Nonlinear prediction of chaotic time series. Zbl 0671.62099
Casdagli, Martin
136
1989
Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010
Erneux, Thomas; Nicolis, Grégoire
135
1993
Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165
Karpman, V. I.; Shagalov, A. G.
133
2000
Strange attractors that are not chaotic. Zbl 0588.58036
Grebogi, Celso; Ott, Edward; Pelikan, Steven; Yorke, James A.
133
1984
Transport in Hamiltonian systems. Zbl 0585.58039
Mackay, R. S.; Meiss, J. D.; Percival, I. C.
128
1984
Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175
Kobayashi, Ryo
128
1993
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
Haller, G.; Yuan, G.
127
2000
Integrable mappings and soliton equations. II. Zbl 0679.58024
Quispel, G. R. W.; Roberts, J. A. G.; Thompson, C. J.
127
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
127
2012
Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204
Hunter, John K.; Scheurle, Jürgen
127
1988
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
126
2005
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088
van Saarloos, Wim; Hohenberg, P. C.
125
1992
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
Abdelouhab, L.; Bona, J. L.; Felland, M.; Saut, J.-C.
123
1989
Fractal basin boundaries. Zbl 0588.58033
McDonald, Steven W.; Grebogi, Celso; Ott, Edward; Yorke, James A.
121
1985
Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018
Tyson, John J.; Keener, James P.
121
1988
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
Gopalsamy, K.; Leung, I.
120
1996
Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
Sandstede, Björn; Scheel, Arnd
120
2000
Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057
118
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.
117
2006
Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310
Tavazoei, Mohammad Saleh; Haeri, Mohammad
117
2008
Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026
Painter, Kevin J.; Hillen, Thomas
116
2011
Amplitude response of coupled oscillators. Zbl 0703.34047
Aronson, D. G.; Ermentrout, G. B.; Kopell, N.
113
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
111
2004
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
111
1986
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
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
Dullin, H. R.; Gottwald, G. A.; Holm, D. D.
109
2004
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
Iron, David; Ward, Michael J.; Wei, Juncheng
108
2001
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
108
2004
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.
105
1982
Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385
Cao, Liangyue
103
1997
Modulation instability: The beginning. Zbl 1157.37337
Zakharov, V. E.; Ostrovsky, L. A.
102
2009
New applications of variational iteration method. Zbl 1084.35539
Abdou, M. A.; Soliman, A. A.
100
2005
Fourth-order symplectic integration. Zbl 0713.65044
Forest, Etienne; Ruth, Ronald D.
100
1990
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
Doering, Charles R.; Gibbon, John D.; Levermore, C. David
99
1994
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.
98
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.
98
1993
Attractors of non-autonomous stochastic lattice systems in weighted spaces. Zbl 1364.34113
Bates, Peter W.; Lu, Kening; Wang, Bixiang
98
2014
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
97
1994
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
97
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
96
2004
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
96
2013
Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry. Zbl 0634.34027
Armbruster, Dieter; Guckenheimer, John; Holmes, Philip
95
1988
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
95
1982
Integrable equations arising from motions of plane curves. Zbl 0987.35139
Chou, Kaiseng; Qu, Changzheng
94
2002
Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081
Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning
94
2007
A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028
d’Onofrio, Alberto
94
2005
Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507
Wendlandt, Jeffrey M.; Marsden, Jerrold E.
93
1997
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
93
1993
An averaging principle for stochastic dynamical systems with Lévy noise. Zbl 1236.60060
Xu, Yong; Duan, Jinqiao; Xu, Wei
92
2011
A variational theory of hyperbolic Lagrangian coherent structures. Zbl 1214.37056
Haller, George
92
2011
Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079
Guo, Shangjiang; Huang, Lihong
91
2003
Orbital stability of solitary waves for a shallow water equation. Zbl 0984.35139
Constantin, Adrian; Molinet, Luc
91
2001
Dynamically orthogonal field equations for continuous stochastic dynamical systems. Zbl 1180.37119
Sapsis, Themistoklis P.; Lermusiaux, Pierre F. J.
91
2009
Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts. Zbl 0984.35030
Ebert, Ute; van Saarloos, Wim
89
2000
Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621
Belykh, Igor V.; Belykh, Vladimir N.; Hasler, Martin
88
2004
Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions. Zbl 1512.37081
Ma, Wen-Xiu
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
3
2023
Onsager’s conjecture for subgrid scale \(\alpha\)-models of turbulence. Zbl 1508.76067
Boutros, Daniel W.; Titi, Edriss S.
3
2023
Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions. Zbl 07653434
Lin, Shuning; Chen, Yong
3
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
Computation of large-genus solutions of the Korteweg-de Vries equation. Zbl 07695158
Bilman, Deniz; Nabelek, Patrik; Trogdon, Thomas
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
Hopf bifurcation at infinity in 3D relay systems. Zbl 1510.37081
Freire, E.; Ponce, E.; Ros, J.; Vela, E.
2
2023
Do ideas have shape? Idea registration as the continuous limit of artificial neural networks. Zbl 07642857
Owhadi, Houman
2
2023
On the elliptic-localized solutions of the sine-Gordon equation. Zbl 1505.35010
Ling, Liming; Sun, Xuan
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
Bifurcation of co-existing traveling wave solutions in a three-component competition-diffusion system. Zbl 1514.35085
Ei, Shin-Ichiro; Ikeda, Hideo; Ogawa, Toshiyuki
2
2023
Deep learning soliton dynamics and complex potentials recognition for 1D and 2D \(\mathcal{PT}\)-symmetric saturable nonlinear Schrödinger equations. Zbl 07683358
Song, Jin; Yan, Zhenya
2
2023
Algebro-geometric quasi-periodic solutions to the Satsuma-Hirota hierarchy. Zbl 1519.37081
Geng, Xianguo; Zeng, Xin
2
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
Complex oscillatory dynamics in a three-timescale El Niño southern oscillation model. Zbl 1515.86008
Kaklamanos, Panagiotis; Popović, Nikola
1
2023
Combining dynamic mode decomposition with ensemble Kalman filtering for tracking and forecasting. Zbl 07695161
Falconer, Stephen A.; Lloyd, David J. B.; Santitissadeekorn, Naratip
1
2023
Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system. Zbl 1518.35523
Lyu, Shulin; Chen, Yang; Xu, Shuai-Xia
1
2023
A new 3-component Degasperis-Procesi hierarchy. Zbl 07695172
Li, Nianhua
1
2023
Non-smooth dynamics of anti stick-slip tool. Zbl 1509.74040
Osguei, Amin Taraghi; Khamoushi, Iman; Dehkordi, Mohammad Khodadadi; Pavlovskaia, Ekaterina; Wiercigroch, Marian
1
2023
Numerical solution of the two-dimensional Steigmann-Ogden model of material surface with a boundary. Zbl 1506.74056
Zemlyanova, Anna Y.; Mogilevskaya, Sofia G.; Schillinger, Dominik
1
2023
Energy variations and periodic solutions in a switched inverted pendulum model of human running gaits. Zbl 1512.70030
Kowalczyk, Piotr; Płociniczak, Łukasz; Wróblewska, Zofia
1
2023
The synchronization of discrete quantum chaotic maps with uncertainty via compensated control technique. Zbl 1516.37145
Wang, Shaofu
1
2023
Long-time asymptotic behavior for the matrix modified Korteweg-de Vries equation. Zbl 1509.35050
Liu, Nan; Zhao, Xiaodan; Guo, Boling
1
2023
On the behavior of multidimensional radially symmetric solutions of the repulsive Euler-Poisson equations. Zbl 1505.35058
Rozanova, Olga S.
1
2023
Switching between periodic orbits in impact oscillator by time-delayed feedback methods. Zbl 1510.37131
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Wobbling kinks in a two-component scalar field theory: interaction between shape modes. Zbl 07639108
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One-shot learning of stochastic differential equations with data adapted kernels. Zbl 07642851
Darcy, Matthieu; Hamzi, Boumediene; Livieri, Giulia; Owhadi, Houman; Tavallali, Peyman
1
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Deterministic and stochastic Euler-Boussinesq convection. Zbl 07642852
Holm, Darryl D.; Pan, Wei
1
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Bounds on heat transfer by incompressible flows between balanced sources and sinks. Zbl 1521.76821
Song, Binglin; Fantuzzi, Giovanni; Tobasco, Ian
1
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Pattern formation and front stability for a moving-boundary model of biological invasion and recession. Zbl 1505.35034
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1
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The two-process model for sleep-wake regulation: a nonsmooth dynamics perspective. Zbl 1511.37110
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1
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Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction-diffusion equations. Zbl 1505.35020
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1
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Period adding with symmetry breaking/recovering in a power inverter with hysteresis control. Zbl 1505.93172
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1
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Semiclassical calculation of time delay statistics in chaotic quantum scattering. Zbl 1517.81061
Novaes, Marcel
1
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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
1
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Information quantity evaluation of nonlinear time series processes and applications. Zbl 07653431
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1
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Bifurcations of the limit directions in extended Filippov systems. Zbl 1509.70026
Antali, Mate
1
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On geometry of multiscale mass action law and its fluctuations. Zbl 1507.80007
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1
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Fuzzy Lyapunov exponents placement for chaos stabilization. Zbl 1507.93183
Kharabian, Behrouz; Mirinejad, Hossein
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Nonlinear Schrödinger equation on the half-line without a conserved number of solitons. Zbl 1518.81098
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1
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Periodic waves in the discrete mKdV equation: modulational instability and rogue waves. Zbl 1509.35090
Chen, Jinbing; Pelinovsky, Dmitry E.
1
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Multi-lump wave patterns of KPI via integer partitions. Zbl 1512.65237
Chakravarty, Sarbarish; Zowada, Michael
1
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Singular cotangent models in fluids with dissipation. Zbl 07660941
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1
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Accelerated kinetic Monte Carlo methods for general nonlocal traffic flow models. Zbl 1509.90049
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\(p\)-adic cellular neural networks: applications to image processing. Zbl 1506.68027
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Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation. Zbl 1510.35121
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Pseudo-Hamiltonian neural networks with state-dependent external forces. Zbl 1506.68091
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First-principle validation of Fourier’s law in \(d = 1, 2, 3\) classical systems. Zbl 1509.82085
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Reduction methods in climate dynamics – a brief review. Zbl 1509.86001
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1
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Burgers’ equation in the complex plane. Zbl 1512.35386
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1
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Detecting stochastic governing laws with observation on stationary distributions. Zbl 1509.60112
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The coupled modified Yajima-Oikawa system: model derivation and soliton solutions. Zbl 1514.35090
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1
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Birational solutions to the set-theoretical 4-simplex equation. Zbl 1518.39007
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1
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The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law. Zbl 1514.35338
Shen, Chun; Sun, Meina
1
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Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps. Zbl 1525.37064
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1
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A Liouville-type theorem for the 3D primitive equations. Zbl 1516.35319
Peralta-Salas, D.; Slobodeanu, R.
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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Stability and instability in a three-component chemotaxis model for alopecia areata. Zbl 07767777
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Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies. Zbl 1487.35270
Ma, Wen-Xiu
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\(N\)-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
10
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Hamiltonian operator inference: physics-preserving learning of reduced-order models for canonical Hamiltonian systems. Zbl 1487.65193
Sharma, Harsh; Wang, Zhu; Kramer, Boris
9
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A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093
Geng, Xianguo; Li, Ruomeng; Xue, Bo
8
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Kadomtsev-Petviashvili equation: one-constraint method and lump pattern. Zbl 1484.35121
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7
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Multi-component universal character hierarchy and its polynomial tau-functions. Zbl 1483.14060
Li, Chuanzhong
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Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation. Zbl 1504.35501
Wang, Xiu-Bin; Tian, Shou-Fu
6
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Solution landscape of the Onsager model identifies non-axisymmetric critical points. Zbl 07479426
Yin, Jianyuan; Zhang, Lei; Zhang, Pingwen
5
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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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Data-driven rogue waves and parameters discovery in nearly integrable \(\mathcal{PT}\)-symmetric Gross-Pitaevskii equations via PINNs deep learning. Zbl 1496.35373
Zhong, Ming; Gong, Shibo; Tian, Shou-Fu; Yan, Zhenya
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Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system. Zbl 1484.35132
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4
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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
Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya
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Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory. Zbl 07487492
Rosenzweig, Matthew; Staffilani, Gigliola
4
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Bilinear equations in Darboux transformations by boson-fermion correspondence. Zbl 1486.81178
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Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation. Zbl 1491.34100
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4
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Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems. Zbl 1502.70034
Rao, Jiguang; Kanna, T.; Mihalache, Dumitru; He, Jingsong
3
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Formation of the undular bores in shallow water generalized Kaup-Boussinesq model. Zbl 1504.35323
Gong, Ruizhi; Wang, Deng-Shan
3
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Long time asymptotics for the nonlocal mKdV equation with finite density initial data. Zbl 1501.35358
Zhou, Xuan; Fan, Engui
3
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Noncommutative solutions to Zamolodchikov’s tetrahedron equation and matrix six-factorisation problems. Zbl 07599650
Konstantinou-Rizos, S.
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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
3
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Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method. Zbl 1492.65352
Senyange, B.; Skokos, Ch.
3
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Non-degenerate multi-rogue waves and easy ways of their excitation. Zbl 1484.35127
Liu, Chong; Chen, Shao-Chun; Yao, Xiankun; Akhmediev, Nail
3
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On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities. Zbl 1518.34041
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3
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Differential recurrences for the distribution of the trace of the \(\beta\)-Jacobi ensemble. Zbl 1496.81091
Forrester, Peter J.; Kumar, Santosh
3
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Into higher dimensions for nonsmooth dynamical systems. Zbl 1497.37026
Jeffrey, Mike R.; Seidman, Thomas I.; Teixeira, Marco A.; Utkin, Vadim I.
3
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Self-similar collapse of three vortices in the generalised Euler and quasi-geostrophic equations. Zbl 1495.76027
Reinaud, Jean N.; Dritschel, David G.; Scott, Richard K.
3
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Neural networks enforcing physical symmetries in nonlinear dynamical lattices: the case example of the Ablowitz-Ladik model. Zbl 1512.35512
Zhu, Wei; Khademi, Wesley; Charalampidis, Efstathios G.; Kevrekidis, Panayotis G.
3
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Broader universality of rogue waves of infinite order. Zbl 1503.37077
Bilman, Deniz; Miller, Peter D.
3
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The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface. Zbl 1498.37101
Katsanikas, M.; Wiggins, S.
3
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Quasi-entropy by log-determinant covariance matrix and application to liquid crystals. Zbl 07529720
Xu, Jie
3
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Darboux transformation and solitonic solution to the coupled complex short pulse equation. Zbl 1492.35083
Feng, Bao-Feng; Ling, Liming
3
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Opinion dynamics involving contrarian and independence behaviors based on the Sznajd model with two-two and three-one agent interactions. Zbl 1498.91323
Muslim, Roni; Kholili, M. Jauhar; Nugraha, Ahmad R. T.
2
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On the tau function of the hypergeometric equation. Zbl 1508.34119
Bertola, M.; Korotkin, D.
2
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Learning mean-field equations from particle data using WSINDy. Zbl 1498.93111
Messenger, Daniel A.; Bortz, David M.
2
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A view of the peakon world through the lens of approximation theory. Zbl 1498.35003
Lundmark, Hans; Szmigielski, Jacek
2
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Stability of smooth solitary waves in the \(b\)-Camassa-Holm equation. Zbl 1506.35036
Lafortune, Stéphane; Pelinovsky, Dmitry E.
2
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Matrix and vectorial generalized Calogero-Moser models. Zbl 1511.81147
Kowalczyk-Murynka, Katarzyna; Kuś, Marek
2
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165 Cao, Jinde
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98 Huang, Lihong
97 Titi, Edriss Saleh
97 Wei, Juncheng
85 Yin, Zhaoyang
80 Kevrekidis, Panayotis G.
80 Pelinovsky, Dmitry Efimovich
77 Xu, Wei
75 Liao, Xiaofeng
72 Jafari, Sajad
71 Carrillo de la Plata, José Antonio
71 Geng, Xianguo
70 Holm, Darryl Dallas
70 Majda, Andrew J.
69 Haller, George
68 Knobloch, Edgar
68 Wang, Xingyuan
66 Fan, Engui
66 Marsden, Jerrold Eldon
66 Zumbrun, Kevin R.
65 Temam, Roger Meyer
64 Ma, Wen-Xiu
64 Qu, Changzheng
62 Liu, Yue
62 Malomed, Boris A.
60 Miranville, Alain M.
60 Wang, Bixiang
59 Ashwin, Peter
57 Gardini, Laura
57 Pham, Viet-Thanh
55 He, Jingsong
54 Sprott, Julien Clinton
54 Zhang, Wei
53 Mezić, Igor
53 Wei, Junjie
52 Aihara, Kazuyuki
52 de la Llave, Rafael
51 Meiss, James D.
51 Mu, Chunlai
51 Qiao, Zhijun
50 Duan, Jinqiao
49 Pikovsky, Arkady S.
49 Zhou, Shengfan
48 Calogero, Francesco A.
48 Wiggins, Stephen R.
48 Yang, Xiaofeng
47 Kudryashov, Nikolaĭ Alekseevich
47 Nepomnyashchy, Alexander A.
47 Valls Anglés, Cláudia
47 Ward, Michael J.
46 Bollt, Erik M.
46 Gao, Hongjun
46 Grebogi, Celso
46 Kapitaniak, Tomasz
46 Li, Jibin
46 Rajagopal, Karthikeyan
45 Guo, Shangjiang
45 Jiang, Haijun
45 Kevrekidis, Ioannis George
45 Xu, Yong
45 Yan, Zhenya
44 MacKay, Robert Sinclair
43 Grimshaw, Roger Hamilton James
43 Sanjuán, Miguel A. F.
43 Small, Michael
42 Bi, Qinsheng
42 Caldas, Iberê L.
42 Dehghan Takht Fooladi, Mehdi
42 Kofané, Timoléon Crépin
41 Li, Chuandong
41 Liu, Zengrong
41 Tian, Lixin
41 Wei, Zhouchao
40 Kolokolnikov, Theodore
40 Sandstede, Björn
39 Ablowitz, Mark Jay
39 Grammaticos, Basil
39 Han, Maoan
39 Jolly, Michael Summerfield
39 Sherratt, Jonathan A.
39 Tian, Shoufu
39 Xu, Jian
39 Yorke, James Alan
38 Colli, Pierluigi
38 Crutchfield, James P.
38 Gay-Balmaz, François
38 Krauskopf, Bernd
38 Osher, Stanley Joel
38 Stewart, Ian Nicholas
37 Champneys, Alan R.
37 Lakshmanan, Muthusamy
37 Li, Yangrong
37 Ramani, Alfred
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