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Nonlinearity

Short Title: Nonlinearity
Publisher: IOP Publishing, Bristol; London Mathematical Society, London
ISSN: 0951-7715; 1361-6544/e
Online: http://iopscience.iop.org/0951-7715
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 4,834 Publications (since 1988)
References Indexed: 1,595 Publications with 57,068 References.
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Latest Issues

37, No. 3 (2024)
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30, No. 12 (2017)
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...and 217 more Volumes
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Authors

31 MacKay, Robert Sinclair
21 Krauskopf, Bernd
20 Kukavica, Igor
19 Titi, Edriss Saleh
19 Zakrzewski, Wojciech J.
18 Gibbon, John D.
18 Llibre, Jaume
17 Ashwin, Peter
17 Melbourne, Ian
17 Vivaldi, Franco
16 Bunimovich, Leonid Abramovich
16 Eckmann, Jean-Pierre
16 Kevrekidis, Panayotis G.
16 Simó, Carles
15 Broer, Henk W.
15 Constantin, Peter
15 Majda, Andrew J.
15 Pelinovsky, Dmitry Efimovich
15 Ryzhik, Lenya
14 Díaz, Lorenzo Justiniano
14 Fokas, Athanassios S.
14 Meiss, James D.
14 Robinson, James Cooper
14 Turaev, Dmitry V.
14 Vaienti, Sandro
13 Bizoń, Piotr
13 Glendinning, Paul Alexander
12 Collet, Pierre
12 de la Llave, Rafael
12 Golubitsky, Martin A.
12 Keller, Gerhard
12 Wu, Jiahong
11 Dullin, Holger R.
11 Forrester, Peter J.
11 Froyland, Gary
11 Holm, Darryl Dallas
11 Joshi, Nalini
11 Keating, Jonathan Peter
11 Lamb, Jeroen S. W.
11 Li, Wenxia
11 Scheel, Arnd
11 Troubetzkoy, Serge Eugene
11 Urbański, Mariusz
11 Winkler, Michael
11 Yagasaki, Kazuyuki
10 Afraimovich, Valentin S.
10 Dias, Ana Paula S.
10 Galatolo, Stefano
10 Gonchenko, Sergey V.
10 King, John Robert
10 Nicol, Matthew
10 Sandstede, Björn
10 Sutcliffe, Paul Michael
10 Young, Lai-Sang
9 Bahsoun, Wael
9 Baladi, Viviane
9 Barreira, Luis Manuel
9 Blank, Michael
9 Chae, Dongho
9 Chazottes, Jean-René
9 Cvitanović, Predrag
9 Feireisl, Eduard
9 Gelfreich, Vassili
9 Knobloch, Edgar
9 Lebowitz, Joel Louis
9 Lenells, Jonatan
9 Levi, Mark L.
9 Marmi, Stefano
9 Oprocha, Piotr
9 Osinga, Hinke Maria
9 Piette, Bernard M. A. G.
9 Rand, David A.
9 Saut, Jean-Claude
9 Speight, James Martin
9 Stewart, Ian Nicholas
9 Takahasi, Hiroki
9 Witte, Nicholas S.
9 Yorke, James Alan
8 Ablowitz, Mark Jay
8 Bambusi, Dario
8 Bruin, Henk
8 Champneys, Alan R.
8 Dumortier, Freddy
8 Ha, Seung-Yeal
8 Haydn, Nicolai T. A.
8 Kevrekidis, Ioannis George
8 Kiriki, Shin
8 Klein, Christian
8 Kong, Derong
8 Martín de Diego, David
8 Montgomery, Richard
8 Nakano, Yushi
8 Neĭshtadt, Anatoliĭ Iserovich
8 Ozorio de Almeida, Alfredo M.
8 Pego, Robert Leo
8 Pollicott, Mark
8 Wei, Juncheng
8 Zgliczyński, Piotr
8 Ziane, Mohammed
7 Avrutin, Viktor
...and 5,601 more Authors
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Fields

2,489 Dynamical systems and ergodic theory (37-XX)
1,941 Partial differential equations (35-XX)
771 Ordinary differential equations (34-XX)
722 Fluid mechanics (76-XX)
380 Mechanics of particles and systems (70-XX)
332 Statistical mechanics, structure of matter (82-XX)
319 Biology and other natural sciences (92-XX)
317 Probability theory and stochastic processes (60-XX)
265 Quantum theory (81-XX)
244 Measure and integration (28-XX)
199 Numerical analysis (65-XX)
172 Global analysis, analysis on manifolds (58-XX)
140 Differential geometry (53-XX)
120 Number theory (11-XX)
116 Operator theory (47-XX)
104 Calculus of variations and optimal control; optimization (49-XX)
104 Mechanics of deformable solids (74-XX)
92 General topology (54-XX)
88 Difference and functional equations (39-XX)
84 Optics, electromagnetic theory (78-XX)
75 Functions of a complex variable (30-XX)
74 Geophysics (86-XX)
64 Systems theory; control (93-XX)
55 Special functions (33-XX)
53 Integral equations (45-XX)
49 Real functions (26-XX)
49 Classical thermodynamics, heat transfer (80-XX)
45 Linear and multilinear algebra; matrix theory (15-XX)
41 Functional analysis (46-XX)
41 Manifolds and cell complexes (57-XX)
39 Combinatorics (05-XX)
39 Harmonic analysis on Euclidean spaces (42-XX)
37 Computer science (68-XX)
33 Algebraic geometry (14-XX)
31 Information and communication theory, circuits (94-XX)
28 Approximations and expansions (41-XX)
23 Several complex variables and analytic spaces (32-XX)
20 Statistics (62-XX)
18 Convex and discrete geometry (52-XX)
16 Topological groups, Lie groups (22-XX)
16 Relativity and gravitational theory (83-XX)
15 Operations research, mathematical programming (90-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Potential theory (31-XX)
12 Group theory and generalizations (20-XX)
11 Integral transforms, operational calculus (44-XX)
8 Mathematical logic and foundations (03-XX)
8 Commutative algebra (13-XX)
8 Astronomy and astrophysics (85-XX)
7 Nonassociative rings and algebras (17-XX)
6 Sequences, series, summability (40-XX)
5 Algebraic topology (55-XX)
4 Field theory and polynomials (12-XX)
4 Associative rings and algebras (16-XX)
4 Geometry (51-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

4,247 Publications have been cited 54,561 times in 35,902 Documents Cited by Year
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057
Constantin, Peter; Majda, Andrew J.; Tabak, Esteban
348
1994
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1338.37099
Ablowitz, Mark J.; Musslimani, Ziad H.
238
2016
On the equations of the large-scale ocean. Zbl 0766.35039
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
235
1992
New formulations of the primitive equations of atmosphere and applications. Zbl 0746.76019
Lions, Jacques Louis; Temam, Roger; Wang, Shouhong
214
1992
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. Zbl 0811.70017
MacKay, R. S.; Aubry, S.
195
1994
A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172
Peng, Rui; Zhao, Xiao-Qiang
192
2012
Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity. Zbl 1276.35080
Chang, X; Wang, Z.-Q.
178
2013
Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006
Cieślak, Tomasz; Winkler, Michael
172
2008
Sensitive dependence on initial conditions. Zbl 0790.58025
Glasner, Eli; Weiss, Benjamin
167
1993
Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046
Lowengrub, J. S.; Frieboes, H. B.; Jin, F.; Chuang, Y-L; Li, X.; Macklin, P.; Wise, S. M.; Cristini, V.
166
2010
The Cauchy problem for the Novikov equation. Zbl 1232.35145
Himonas, A. Alexandrou; Holliman, Curtis
164
2012
Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Zbl 1009.35062
Duchon, Jean; Robert, Raoul
157
2000
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
154
2008
Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024
Hirsch, Morris W.
153
1988
Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Zbl 1392.34036
Panaggio, Mark J.; Abrams, Daniel M.
152
2015
Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems. Zbl 1103.35049
Li, Wantong; Lin, Guo; Ruan, Shigui
148
2006
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
Bona, J. L.; Chen, M.; Saut, J.-C.
143
2004
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
137
2009
On the regularity of the solutions of the Navier-Stokes equations via one velocity component. Zbl 1190.35179
Zhou, Yong; Pokorný, Milan
135
2010
Li-Yorke sensitivity. Zbl 1045.37004
Akin, Ethan; Kolyada, Sergiĭ
134
2003
Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037
Mañé, Ricardo
127
1996
Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014
Tello, J. I.; Winkler, M.
125
2012
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
123
2011
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
123
2005
Symplectic integration of Hamiltonian systems. Zbl 0704.65052
Channell, P. J.; Scovel, C.
121
1990
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
118
2009
Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Zbl 1118.37038
Cao, Jinde; Song, Qiankun
116
2006
On the extension of the Painlevé property to difference equations. Zbl 0956.39003
Ablowitz, M. J.; Halburd, R.; Herbst, B.
115
2000
On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Zbl 0911.76014
Clopeau, Thierry; Mikelić, Andro; Robert, Raoul
115
1998
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
114
1996
Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Zbl 1078.34035
Bandyopadhyay, M.; Chattopadhyay, J.
113
2005
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
113
2016
Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038
Givon, Dror; Kupferman, Raz; Stuart, Andrew
111
2004
On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087
Giacomini, H.; Llibre, J.; Viano, M.
108
1996
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Zbl 1169.82306
Mouhot, Clément; Neumann, Lukas
107
2006
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
105
1997
The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175
Jüngel, Ansgar
105
2015
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. Zbl 1419.35056
Bahrouni, Anouar; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
105
2019
Recycling of strange sets. I: Cycle expansions. II: Applications. Zbl 0702.58064
Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag
104
1990
A free boundary problem for a predator-prey model. Zbl 1126.35111
Lin, Zhigui
103
2007
Existence of ground states for a modified nonlinear Schrödinger equation. Zbl 1189.35316
Ruiz, David; Siciliano, Gaetano
102
2010
Stronger forms of sensitivity for dynamical systems. Zbl 1132.54023
Moothathu, T. K. Subrahmonian
101
2007
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
100
1988
Ground states for fractional Schrödinger equations with critical growth. Zbl 1287.35027
Shang, Xudong; Zhang, Jihui
100
2014
Smooth attractors for strongly damped wave equations. Zbl 1113.35023
Pata, Vittorino; Zelik, Sergey
99
2006
One component regularity for the Navier-Stokes equations. Zbl 1149.35069
Kukavica, Igor; Ziane, Mohammed
99
2006
Large deviations estimates for dynamical systems without the specification property. Application to the \(\beta\)-shifts. Zbl 1069.60029
Pfister, C.-E.; Sullivan, W. G.
97
2005
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
95
1990
Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. Zbl 1393.35090
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
95
2018
Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015
Blank, Michael; Keller, Gerhard; Liverani, Carlangelo
92
2002
Spacetime chaos in coupled map lattices. Zbl 0679.58028
Bunimovich, L. A.; Sinaj, Ya. G.
91
1988
Swarm dynamics and equilibria for a nonlocal aggregation model. Zbl 1288.92031
Fetecau, R. C.; Huang, Y.; Kolokolnikov, T.
91
2011
Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional \(p\)-Laplacian. Zbl 1349.35413
Xiang, Mingqi; Zhang, Binlin; Rădulescu, Vicenţiu D.
91
2016
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
90
2007
An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331
Geng, Xianguo; Xue, Bo
90
2009
Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015
Friesecke, G.; Pego, R. L.
89
1999
On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094
Peng, Rui; Shi, Junping; Wang, Mingxin
89
2008
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
87
2010
Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016
Mielke, Alexander; Schneider, Guido
86
1995
Gap solitons in periodic discrete nonlinear Schrödinger equations. Zbl 1220.35163
Pankov, A.
86
2006
Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Zbl 1196.82102
Li, Xiaodi; Cao, Jinde
83
2010
Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320
Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico
82
2015
A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240
Winkler, Michael
82
2018
Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian. Zbl 1334.35406
Xiang, Mingqi; Molica Bisci, Giovanni; Tian, Guohua; Zhang, Binlin
81
2016
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
80
1998
Local and global well-posedness for aggregation equations and Patlak-Keller-Segel models with degenerate diffusion. Zbl 1222.49038
Bedrossian, Jacob; Rodríguez, Nancy; Bertozzi, Andrea L.
80
2011
Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Zbl 1167.34386
Huang, Tingwen; Li, Chuandong; Yu, Wenwu; Chen, Guanrong
80
2009
Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147
Weinstein, M. I.
79
1999
Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044
Ducrot, Arnaud; Magal, Pierre
78
2011
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
78
2016
An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077
Tod, Paul; Moroz, Irene M.
77
1999
Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078
Foias, Ciprian; Titi, Edriss S.
76
1991
Nonlinear dynamics and statistical physics of DNA. Zbl 1092.82015
Peyrard, Michel
75
2004
Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion. Zbl 1338.35438
Li, Yan; Lankeit, Johannes
75
2016
Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
75
2014
Planar systems of piecewise linear differential equations with a line of discontinuity. Zbl 1003.34009
Giannakopoulos, Fotios; Pliete, Karin
74
2001
Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Zbl 1089.37024
Wu, Chai Wah
74
2005
Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012
Craig, W.; Sulem, C.; Sulem, P. L.
73
1992
The accuracy of symplectic integrators. Zbl 0747.58032
McLachlan, Robert I.; Atela, Pau
72
1992
Nonlinear waves in Bose-Einstein condensates: physical relevance and mathematical techniques. Zbl 1216.82023
Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G.
72
2008
Yang-Mills fields on quaternionic spaces. Zbl 0681.53037
Mamone Capria, M.; Salamon, S. M.
71
1988
Stability and instability results for standing waves of quasi-linear Schrödinger equations. Zbl 1192.35163
Colin, Mathieu; Jeanjean, Louis; Squassina, Marco
71
2010
Universality in blow-up for nonlinear heat equations. Zbl 0857.35018
Bricmont, J.; Kupiainen, A.
71
1994
Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039
Krupa, M.; Szmolyan, P.
71
2001
A modified-Leray-\(\alpha\) subgrid scale model of turbulence. Zbl 1106.35050
Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S.
71
2006
A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305
Ruelle, David
71
2009
Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171
Martel, Yvan; Merle, Frank
71
2005
Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentials. Zbl 1396.35018
Guo, Yujin; Wang, Zhi-Qiang; Zeng, Xiaoyu; Zhou, Huan-Song
70
2018
Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007
Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D.
70
2004
Ultra-short pulses in linear and nonlinear media. Zbl 1125.35412
Chung, Y.; Jones, C. K. R. T.; Schäfer, T.; Wayne, C. E.
70
2005
Eleven small limit cycles in a cubic vector field. Zbl 0837.34042
Żołądek, Henryk
69
1995
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
69
1994
The two loop soliton solution of the Vakhnenko equation. Zbl 0914.35115
Vakhnenko, V. O.; Parkes, E. J.
69
1998
On the 2D Zakharov system with \(L^{2}\) Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
69
2009
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
69
2008
Finite-time aggregation into a single point in a reaction-diffusion system. Zbl 0909.35071
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
68
1997
Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions. Zbl 1169.35365
Iftimie, Dragoş; Planas, Gabriela
68
2006
Superlinear nonlocal fractional problems with infinitely many solutions. Zbl 1322.35158
Zhang, Binlin; Molica Bisci, Giovanni; Servadei, Raffaella
68
2015
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions. Zbl 1406.37049
Feng, Bao-Feng; Luo, Xu-Dan; Ablowitz, Mark J.; Musslimani, Ziad H.
68
2018
KAM theory without action-angle variables. Zbl 1067.37081
de la Llave, R.; González, A.; Jorba, À.; Villanueva, J.
67
2005
Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment. Zbl 07789598
Bai, Xiang; Miao, Qianyun; Tan, Changhui; Xue, Liutang
1
2024
Irrationality exponent and convergence exponent in continued fraction expansions. Zbl 07791458
Song, Kunkun; Tan, Xiaoyan; Zhang, Zhenliang
1
2024
Solvability and pullback attractor for a class of differential hemivariational inequalities with its applications. Zbl 07646812
Li, Xiuwen; Liu, Zhenhai; Papageorgiou, Nikolaos S.
9
2023
The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation. Zbl 1514.34075
Banaji, Murad; Boros, Balázs
5
2023
Exponential moments for disk counting statistics of random normal matrices in the critical regime. Zbl 1528.41081
Charlier, Christophe; Lenells, Jonatan
4
2023
Non-reversible processes: GENERIC, hypocoercivity and fluctuations. Zbl 1516.35410
Duong, M. H.; Ottobre, M.
4
2023
Infinite WARM graphs III: strong reinforcement regime. Zbl 1523.60167
Hirsch, Christian; Holmes, Mark; Kleptsyn, Victor
3
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Generalized Hardy operators. Zbl 1504.35012
Bui, The Anh; D’Ancona, Piero
3
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Finite-time blow-up and boundedness in a 2D Keller-Segel system with rotation. Zbl 1505.35054
Li, Yuxiang; Wang, Wanwan
3
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On the efficient global dynamics of Newton’s method for complex polynomials. Zbl 1519.37112
Schleicher, Dierk
3
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Rate-induced tipping: thresholds, edge states and connecting orbits. Zbl 1521.34050
Wieczorek, Sebastian; Xie, Chun; Ashwin, Peter
3
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Normalized solutions of \(L^2\)-supercritical NLS equations on noncompact metric graphs with localized nonlinearities. Zbl 1523.34028
Borthwick, Jack; Chang, Xiaojun; Jeanjean, Louis; Soave, Nicola
3
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Chaotic dynamics in refraction galactic billiards. Zbl 1523.37021
Barutello, Vivina L.; De Blasi, Irene; Terracini, Susanna
2
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Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration-consumption interaction. Zbl 1525.35040
Winkler, Michael
2
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The free material design problem for the stationary heat equation on low dimensional structure. Zbl 07726737
Lewiński, Tomasz; Rybka, Piotr; Zatorska-Goldstein, Anna
2
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Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony. Zbl 1525.37038
Aguiar, Manuela; Bick, Christian; Dias, Ana
2
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Cramér distance and discretisations of circle expanding maps. I: Theory. Zbl 1525.37037
Guihéneuf, Pierre-Antoine; Monge, Maurizio
2
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Elliptic generalisation of integrable \(q\)-deformed anisotropic Haldane-shastry long-range spin chain. Zbl 1524.82009
Matushko, M.; Zotov, A.
2
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Topological shadowing methods in Arnold diffusion: weak torsion and multiple time scales. Zbl 1510.37047
Clarke, Andrew; Fejoz, Jacques; Guàrdia, Marcel
2
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Active vector models generalising 3D Euler and electron-MHD equations. Zbl 1513.76166
Chae, Dongho; Jeong, In-Jee
2
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On a fluid-structure interaction problem for plaque growth. Zbl 1504.35656
Abels, Helmut; Liu, Yadong
2
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Local-in-time existence of a free-surface 3D Euler flow with \(H^{2+\delta}\) initial vorticity in a neighborhood of the free boundary. Zbl 1511.35264
Kukavica, I.; Ożański, W. S.
2
2023
Wronskian structures of planar symplectic ensembles. Zbl 1505.60009
Byun, Sung-Soo; Ebke, Markus; Seo, Seong-Mi
2
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Shape analysis via gradient flows on diffeomorphism groups. Zbl 07641222
Balehowsky, Tracey; Karlsson, Carl-Joar; Modin, Klas
2
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Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations. Zbl 1510.35400
Kian, Yavar
2
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A density-constrained model for chemotaxis. Zbl 1506.35282
Kim, Inwon; Mellet, Antoine; Wu, Yijing
2
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Homogenization for time-periodic KPP reactions. Zbl 1510.35033
Zlatoš, Andrej
2
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Traveling wave solutions of a class of multi-species non-cooperative reaction-diffusion systems. Zbl 1519.34041
Ai, Shangbing; Du, Yihong; Jiao, Yujuan; Peng, Rui
2
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Approximate localised dihedral patterns near a Turing instability. Zbl 1511.35022
Hill, Dan J.; Bramburger, Jason J.; Lloyd, David J. B.
2
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Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic backgrounds. Zbl 1516.35368
Bertola, M.; Jenkins, R.; Tovbis, A.
2
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Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift-Hohenberg equation. Zbl 1519.60061
Wang, Jintao; Zhang, Xiaoqian; Li, Chunqiu
1
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Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains. Zbl 1514.35326
Wang, Wendong; Wu, Jie
1
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Lower bounds on the Hausdorff dimension of some Julia sets. Zbl 1525.37046
Dudko, Artem; Gorbovickis, Igors; Tucker, Warwick
1
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Takasaki’s rational fourth Painlevé-Calogero system and geometric regularisability of algebro-Painlevé equations. Zbl 07749169
Filipuk, Galina; Stokes, Alexander
1
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Long-time convergence of a nonlocal Burgers’ equation towards the local \(N\)-wave. Zbl 1525.35028
Coclite, Giuseppe Maria; De Nitti, Nicola; Keimer, Alexander; Pflug, Lukas; Zuazua, Enrique
1
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Finite-time blowup for the inviscid vortex stretching equation. Zbl 1519.35235
Miller, Evan
1
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Elizabethan vortices. Zbl 1515.81169
Dunajski, Maciej; Gavrea, Nora
1
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On zeros and spectral property of self-affine measures. Zbl 1519.28008
Wang, Zhi-Yong; Liu, Jing-Cheng; Dong, Xin-Han
1
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Splitting and coexistence of 2-D strange attractors in a general family of expanding Baker maps. Zbl 1522.37059
Marqués-Lobeiras, A.; Pumariño, A.; Rodríguez, J. Á.; Vigil, E.
1
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Low regularity well-posedness for KP-I equations: the dispersion-generalized case. Zbl 1522.35449
Sanwal, Akansha; Schippa, Robert
1
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Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials. Zbl 1521.35101
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen
1
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Diffusive spatial movement with memory in an advective environment. Zbl 1521.35180
Zhang, Hua; Wang, Hao; Song, Yongli; Wei, Junjie
1
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Learning strange attractors with reservoir systems. Zbl 1525.37020
Grigoryeva, Lyudmila; Hart, Allen; Ortega, Juan-Pablo
1
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On the structure of generic subshifts. Zbl 1526.37019
Pavlov, Ronnie; Schmieding, Scott
1
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Global existence and convergence results for a class of nonlinear time fractional diffusion equation. Zbl 1522.35557
Huy Tuan, Nguyen
1
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On multifractal analysis and large deviations of singular hyperbolic attractors. Zbl 07735420
Shi, Yi; Tian, Xueting; Varandas, Paulo; Wang, Xiaodong
1
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Rate of convergence in periodic homogenization for convex Hamilton-Jacobi equations with multiscales. Zbl 1522.35041
Han, Yuxi; Jang, Jiwoong
1
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Failure of scattering for the NLSE with a point interaction in dimension two and three. Zbl 1522.35172
Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego
1
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Projective geometry of homogeneous second-order Hamiltonian operators. Zbl 07738413
Vergallo, Pierandrea; Vitolo, Raffaele
1
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Anosov endomorphisms on the two-torus: regularity of foliations and rigidity. Zbl 1528.37036
Cantarino, Marisa; Varão, Régis
1
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Helicity, linking and the distribution of null-homologous periodic orbits for Anosov flows. Zbl 1509.37030
Coles, Solly; Sharp, Richard
1
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Superharmonic instability for regularized long-wave models. Zbl 1504.35050
Bronski, Jared C.; Hur, Vera Mikyoung; Wester, Samuel Lee
1
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Construction of exact solutions to the Ruijsenaars-Toda lattice via generalized invariant manifolds. Zbl 1504.35428
Habibullin, I. T.; Khakimova, A. R.; Smirnov, A. O.
1
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Uniform regularity estimates and inviscid limit for the compressible non-resistive magnetohydrodynamics system. Zbl 1504.35091
Cui, Xiufang; Li, Shengxin; Xie, Feng
1
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The peak-end rule and its dynamic realization through differential equations with maxima. Zbl 1515.34065
Trofymchuk, Olena; Liz, Eduardo; Trofimchuk, Sergei
1
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Degenerate lake equations: classical solutions and vanishing viscosity limit. Zbl 1513.76038
Al Taki, Bilal; Lacave, Christophe
1
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From atomistic systems to linearized continuum models for elastic materials with voids. Zbl 1506.74017
Friedrich, Manuel; Kreutz, Leonard; Zemas, Konstantinos
1
2023
Depinning transition of travelling waves for particle chains. Zbl 1521.70019
Baesens, C.; MacKay, R. S.; Qin, W.-X.; Zhou, T.
1
2023
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity. Zbl 1511.35313
Friedman, Isaac; Riaño, Oscar; Roudenko, Svetlana; Son, Diana; Yang, Kai
1
2023
Attractors for some models of the Cahn-Hilliard equation with the inertial term. Zbl 1506.35017
Khanmamedov, Azer
1
2023
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system. Zbl 1514.37074
Blasco, Alfonso; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
1
2023
The stability of the \(b\)-family of peakon equations. Zbl 1506.35013
Charalampidis, Efstathios G.; Parker, Ross; Kevrekidis, Panayotis G.; Lafortune, Stéphane
1
2023
Dynamical Borel-Cantelli lemma for recurrence under Lipschitz twists. Zbl 1514.37013
Kleinbock, Dmitry; Zheng, Jiajie
1
2023
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part. Zbl 1507.35146
Miura, Tatsu-Hiko
1
2023
Well-posedness and applications of classical elastohydrodynamics for a swimming filament. Zbl 1508.76138
Mori, Yoichiro; Ohm, Laurel
1
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Multi-valued random dynamics of partly dissipative reaction-diffusion system with discontinuous nonlinearity on \(\mathbb{R}^N\). Zbl 1509.35062
Ma, Zhong-Xin; Zhao, Jia-Cheng
1
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Energy decay for wave equations with nonlinear damping and space-time coefficient in \(\mathbb{R}^n\). Zbl 1509.35056
Ogbiyele, Paul A.; Arawomo, Peter O.
1
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Integrable magnetic geodesic flows on 2-surfaces. Zbl 1514.37073
Agapov, Sergei; Potashnikov, Alexey; Shubin, Vladislav
1
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Low regularity solutions for the Vlasov-Poisson-Landau/Boltzmann system. Zbl 1511.35252
Deng, Dingqun; Duan, Renjun
1
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Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics. Zbl 07690490
Berntson, Bjorn K.; Klabbers, Rob
1
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Time periodic solutions to Hibler’s sea ice model. Zbl 1516.35417
Brandt, Felix; Hieber, Matthias
1
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Semi-classical states for elliptic system near saddle points of potentials. Zbl 1518.35304
Zhang, Chengxiang; Zhang, Xu
1
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Asymptotic dynamics of Hamiltonian polymatrix replicators. Zbl 1520.37049
Najafi Alishah, Hassan; Duarte, Pedro; Peixe, Telmo
1
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Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system. Zbl 1519.37030
Alves, José F.; Bahsoun, Wael; Ruziboev, Marks; Varandas, Paulo
1
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Contact topology and non-equilibrium thermodynamics. Zbl 07693241
Entov, Michael; Polterovich, Leonid
1
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Internal ring waves in a three-layer fluid on a current with a constant vertical shear. Zbl 1524.76119
Tseluiko, D.; Alharthi, N. S.; Barros, R.; Khusnutdinova, K. R.
1
2023
Continuum limit for the Ablowitz-Ladik system. Zbl 1517.35207
Killip, Rowan; Ouyang, Zhimeng; Visan, Monica; Wu, Lei
1
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Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning. Zbl 1490.60202
E, Weinan; Han, Jiequn; Jentzen, Arnulf
30
2022
Global dynamics of a Lotka-Volterra competition patch model. Zbl 1480.92167
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
12
2022
Turnpike in Lipschitz-nonlinear optimal control. Zbl 1484.49006
Esteve-Yagüe, Carlos; Geshkovski, Borjan; Pighin, Dario; Zuazua, Enrique
11
2022
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao-Nakra beam. Zbl 1498.37117
Aouadi, Moncef
9
2022
Dimension of the singular set of wild Hölder solutions of the incompressible Euler equations. Zbl 1497.35352
De Rosa, Luigi; Haffter, Silja
8
2022
Spectral Moran measures on \(\mathbb{R}^2\). Zbl 1497.42019
Yan, Zhi-Hui
8
2022
Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions. Zbl 1497.35475
Fujie, Kentaro; Senba, Takasi
8
2022
Nonlinear parabolic stochastic evolution equations in critical spaces. I: Stochastic maximal regularity and local existence. Zbl 1496.60068
Agresti, Antonio; Veraar, Mark
7
2022
Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. Zbl 1481.35253
Fuest, Mario
6
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Weighted \(L^2\)-contractivity of Langevin dynamics with singular potentials. Zbl 1490.35496
Camrud, Evan; Herzog, David P.; Stoltz, Gabriel; Gordina, Maria
6
2022
Derivation of ensemble Kalman-Bucy filters with unbounded nonlinear coefficients. Zbl 1490.60093
Lange, Theresa
6
2022
Stability of cycling behaviour near a heteroclinic network model of rock-paper-scissors-lizard-spock. Zbl 1495.37020
Postlethwaite, Claire M.; Rucklidge, Alastair M.
6
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Averaging of dispersion managed nonlinear Schrödinger equations. Zbl 1490.35404
Choi, Mi-Ran; Lee, Young-Ran
6
2022
KdV on an incoming tide. Zbl 1479.35737
Laurens, Thierry
5
2022
Singular solutions of the BBM equation: analytical and numerical study. Zbl 1479.35194
Gavrilyuk, Sergey; Shyue, Keh-Ming
5
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Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Zbl 1481.35023
Lankeit, Johannes; Winkler, Michael
5
2022
Stationary multi-kinks in the discrete sine-Gordon equation. Zbl 1487.37088
Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro
5
2022
Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion. Zbl 1506.35176
Wang, Peng; Guo, Zhengguang
5
2022
Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier-Stokes equations. Zbl 1487.35300
Martinez, Vincent R.
5
2022
Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics. Zbl 1503.74055
Coclite, Giuseppe Maria; Dipierro, Serena; Fanizza, Giuseppe; Maddalena, Francesco; Valdinoci, Enrico
5
2022
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics. Zbl 1501.35315
Gu, Xumin; Luo, Chenyun; Zhang, Junyan
5
2022
Spectral stability of pattern-forming fronts in the complex Ginzburg-Landau equation with a quenching mechanism. Zbl 1482.35036
Goh, Ryan; de Rijk, Björn
4
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Unstable entropies and dimension theory of partially hyperbolic systems. Zbl 1487.37041
Tian, Xueting; Wu, Weisheng
4
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Cited by 28,166 Authors

222 Llibre, Jaume
101 Titi, Edriss Saleh
98 Guo, Boling
90 Winkler, Michael
86 Ha, Seung-Yeal
82 Li, Wan-Tong
82 Wu, Jiahong
81 Geng, Xianguo
81 Kevrekidis, Panayotis G.
81 Mu, Chunlai
76 Cao, Jinde
76 Pelinovsky, Dmitry Efimovich
76 Wei, Juncheng
73 de la Llave, Rafael
73 Rădulescu, Vicenţiu D.
72 Algaba, Antonio
70 Valls Anglés, Cláudia
65 Han, Maoan
64 Carrillo de la Plata, José Antonio
61 Giné, Jaume
58 Temam, Roger Meyer
57 Wang, Bixiang
55 Ashwin, Peter
55 Duan, Jinqiao
55 Zhang, Binlin
54 Kukavica, Igor
52 Majda, Andrew J.
52 Melbourne, Ian
52 Tang, Xianhua
50 Caraballo Garrido, Tomás
50 He, Jingsong
50 Knobloch, Edgar
49 Fan, Engui
49 Varandas, Paulo
48 Kühn, Christian
46 Guo, Shangjiang
46 Jüngel, Ansgar
46 Shi, Junping
46 Xu, Junxiang
45 García, Cristóbal
45 Perthame, Benoît
44 Kevrekidis, Ioannis George
44 Schneider, Guido
44 Wang, Zhi Cheng
44 Zaag, Hatem
43 MacKay, Robert Sinclair
43 Tang, Chun-Lei
43 Wei, Junjie
43 Yu, Pei
42 Chen, Guanrong
42 Krauskopf, Bernd
42 Lopes, Artur Oscar
42 Urbański, Mariusz
42 Zhang, Xiang
41 Choi, Young-Pil
41 Gao, Hongjun
41 Stewart, Ian Nicholas
40 Chae, Dongho
40 Feng, Zhaosheng
40 Oprocha, Piotr
40 Vaienti, Sandro
40 Zelik, Sergey V.
40 Zheng, Pan
39 Gardini, Laura
39 Gasull, Armengol
39 Ruan, Shigui
39 Shen, Wenxian
39 Tao, Youshan
39 Wang, Mingxin
39 Wu, Xinxing
39 Xiang, Mingqi
38 Chen, Haibo
38 Constantin, Peter
38 Feireisl, Eduard
38 Grasselli, Maurizio
38 Langa, Jose’ Antonio
38 Lin, Zhigui
38 Mielke, Alexander
38 Wu, Shiliang
38 Zhang, Zujin
38 Zhao, Caidi
37 Froyland, Gary
37 Liu, Zuhan
37 Ma, Wen-Xiu
37 Robinson, James Cooper
37 Turaev, Dmitry V.
37 Wiggins, Stephen R.
37 Zheng, Jiashan
36 Cordoba, Diego
36 Gala, Sadek
36 Gonchenko, Sergey V.
36 Guo, Zhengguang
36 Lin, Guo
36 Tian, Shoufu
36 Wang, Zhian
36 Zhong, Xin
36 Zou, Wenming
35 Meiss, James D.
35 Novaes, Douglas Duarte
35 Scheel, Arnd
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1,714 Journal of Differential Equations
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1,182 Journal of Mathematical Analysis and Applications
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847 Journal of Mathematical Physics
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664 Chaos
643 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
523 Discrete and Continuous Dynamical Systems. Series B
489 Nonlinear Analysis. Real World Applications
485 Ergodic Theory and Dynamical Systems
472 Journal of Statistical Physics
440 Communications in Nonlinear Science and Numerical Simulation
436 Chaos, Solitons and Fractals
432 ZAMP. Zeitschrift für angewandte Mathematik und Physik
432 Journal of Nonlinear Science
423 Archive for Rational Mechanics and Analysis
408 SIAM Journal on Mathematical Analysis
397 Journal of Dynamics and Differential Equations
338 Applied Mathematics Letters
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290 SIAM Journal on Applied Dynamical Systems
288 Transactions of the American Mathematical Society
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204 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
198 Journal of Mathematical Fluid Mechanics
191 Computers & Mathematics with Applications
186 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
175 Discrete and Continuous Dynamical Systems. Series S
163 Journal of Mathematical Biology
163 Boundary Value Problems
162 Acta Applicandae Mathematicae
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150 Communications in Partial Differential Equations
148 Abstract and Applied Analysis
147 Studies in Applied Mathematics
147 Science China. Mathematics
146 Journal de Mathématiques Pures et Appliquées. Neuvième Série
145 Advances in Difference Equations
137 Journal of Geometry and Physics
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117 Annales Henri Poincaré
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106 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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87 Inventiones Mathematicae
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