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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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...and 217 more Volumes
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Authors

30 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 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 Meiss, James D.
12 Wu, Jiahong
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 Dullin, Holger R.
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 Feireisl, Eduard
9 Gelfreich, Vassili
9 Knobloch, Edgar
9 Lebowitz, Joel Louis
9 Lenells, Jonatan
9 Levi, Mark L.
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
7 Berry, Michael Victor
7 Blokh, Alexander M.
...and 5,594 more Authors
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Fields

2,490 Dynamical systems and ergodic theory (37-XX)
1,940 Partial differential equations (35-XX)
771 Ordinary differential equations (34-XX)
721 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

4,178 Publications have been cited 52,248 times in 34,525 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
338
1994
On the equations of the large-scale ocean. Zbl 0766.35039
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong
230
1992
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1338.37099
Ablowitz, Mark J.; Musslimani, Ziad H.
222
2016
New formulations of the primitive equations of atmosphere and applications. Zbl 0746.76019
Lions, Jacques Louis; Temam, Roger; Wang, Shouhong
209
1992
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. Zbl 0811.70017
MacKay, R. S.; Aubry, S.
191
1994
A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172
Peng, Rui; Zhao, Xiao-Qiang
179
2012
Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity. Zbl 1276.35080
Chang, X; Wang, Z.-Q.
171
2013
Sensitive dependence on initial conditions. Zbl 0790.58025
Glasner, Eli; Weiss, Benjamin
165
1993
Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006
Cieślak, Tomasz; Winkler, Michael
165
2008
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.
161
2010
The Cauchy problem for the Novikov equation. Zbl 1232.35145
Himonas, A. Alexandrou; Holliman, Curtis
155
2012
Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024
Hirsch, Morris W.
152
1988
Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Zbl 1009.35062
Duchon, Jean; Robert, Raoul
151
2000
Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Zbl 1392.34036
Panaggio, Mark J.; Abrams, Daniel M.
150
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
144
2006
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
142
2008
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.
138
2004
On the regularity of the solutions of the Navier-Stokes equations via one velocity component. Zbl 1190.35179
Zhou, Yong; Pokorný, Milan
131
2010
Li-Yorke sensitivity. Zbl 1045.37004
Akin, Ethan; Kolyada, Sergiĭ
130
2003
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
130
2009
Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037
Mañé, Ricardo
123
1996
Symplectic integration of Hamiltonian systems. Zbl 0704.65052
Channell, P. J.; Scovel, C.
120
1990
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
119
2005
Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014
Tello, J. I.; Winkler, M.
119
2012
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
118
2011
Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Zbl 1118.37038
Cao, Jinde; Song, Qiankun
115
2006
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
114
2009
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
114
1996
On the extension of the Painlevé property to difference equations. Zbl 0956.39003
Ablowitz, M. J.; Halburd, R.; Herbst, B.
113
2000
Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Zbl 1078.34035
Bandyopadhyay, M.; Chattopadhyay, J.
111
2005
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
109
1998
Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038
Givon, Dror; Kupferman, Raz; Stuart, Andrew
108
2004
On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087
Giacomini, H.; Llibre, J.; Viano, M.
108
1996
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
105
2016
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Zbl 1169.82306
Mouhot, Clément; Neumann, Lukas
104
2006
A free boundary problem for a predator-prey model. Zbl 1126.35111
Lin, Zhigui
102
2007
Recycling of strange sets. I: Cycle expansions. II: Applications. Zbl 0702.58064
Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag
102
1990
The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175
Jüngel, Ansgar
101
2015
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
101
1997
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
99
1988
One component regularity for the Navier-Stokes equations. Zbl 1149.35069
Kukavica, Igor; Ziane, Mohammed
98
2006
Ground states for fractional Schrödinger equations with critical growth. Zbl 1287.35027
Shang, Xudong; Zhang, Jihui
97
2014
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. Zbl 1419.35056
Bahrouni, Anouar; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
97
2019
Existence of ground states for a modified nonlinear Schrödinger equation. Zbl 1189.35316
Ruiz, David; Siciliano, Gaetano
96
2010
Stronger forms of sensitivity for dynamical systems. Zbl 1132.54023
Moothathu, T. K. Subrahmonian
95
2007
Smooth attractors for strongly damped wave equations. Zbl 1113.35023
Pata, Vittorino; Zelik, Sergey
94
2006
Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. Zbl 1393.35090
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
94
2018
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
92
1990
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.
90
2016
Large deviations estimates for dynamical systems without the specification property. Application to the \(\beta\)-shifts. Zbl 1069.60029
Pfister, C.-E.; Sullivan, W. G.
90
2005
Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015
Blank, Michael; Keller, Gerhard; Liverani, Carlangelo
89
2002
Spacetime chaos in coupled map lattices. Zbl 0679.58028
Bunimovich, L. A.; Sinaj, Ya. G.
89
1988
Swarm dynamics and equilibria for a nonlocal aggregation model. Zbl 1288.92031
Fetecau, R. C.; Huang, Y.; Kolokolnikov, T.
88
2011
Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015
Friesecke, G.; Pego, R. L.
88
1999
On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094
Peng, Rui; Shi, Junping; Wang, Mingxin
87
2008
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
86
2010
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
86
2007
An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331
Geng, Xianguo; Xue, Bo
86
2009
Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016
Mielke, Alexander; Schneider, Guido
85
1995
Gap solitons in periodic discrete nonlinear Schrödinger equations. Zbl 1220.35163
Pankov, A.
83
2006
Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320
Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico
82
2015
Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Zbl 1196.82102
Li, Xiaodi; Cao, Jinde
82
2010
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
79
1998
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
78
2009
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
78
2016
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.
77
2011
Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147
Weinstein, M. I.
76
1999
An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077
Tod, Paul; Moroz, Irene M.
75
1999
Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
75
2014
Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044
Ducrot, Arnaud; Magal, Pierre
74
2011
Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Zbl 1089.37024
Wu, Chai Wah
74
2005
Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078
Foias, Ciprian; Titi, Edriss S.
74
1991
A critical blow-up exponent in a chemotaxis system with nonlinear signal production. Zbl 1391.35240
Winkler, Michael
74
2018
Nonlinear dynamics and statistical physics of DNA. Zbl 1092.82015
Peyrard, Michel
73
2004
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
72
2016
Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012
Craig, W.; Sulem, C.; Sulem, P. L.
71
1992
Planar systems of piecewise linear differential equations with a line of discontinuity. Zbl 1003.34009
Giannakopoulos, Fotios; Pliete, Karin
71
2001
A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305
Ruelle, David
70
2009
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
Universality in blow-up for nonlinear heat equations. Zbl 0857.35018
Bricmont, J.; Kupiainen, A.
70
1994
Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion. Zbl 1338.35438
Li, Yan; Lankeit, Johannes
70
2016
A modified-Leray-\(\alpha\) subgrid scale model of turbulence. Zbl 1106.35050
Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S.
69
2006
Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171
Martel, Yvan; Merle, Frank
69
2005
The two loop soliton solution of the Vakhnenko equation. Zbl 0914.35115
Vakhnenko, V. O.; Parkes, E. J.
69
1998
Yang-Mills fields on quaternionic spaces. Zbl 0681.53037
Mamone Capria, M.; Salamon, S. M.
69
1988
Stability and instability results for standing waves of quasi-linear Schrödinger equations. Zbl 1192.35163
Colin, Mathieu; Jeanjean, Louis; Squassina, Marco
69
2010
Nonlinear waves in Bose-Einstein condensates: physical relevance and mathematical techniques. Zbl 1216.82023
Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G.
69
2008
The accuracy of symplectic integrators. Zbl 0747.58032
McLachlan, Robert I.; Atela, Pau
68
1992
Extending slow manifolds near transcritical and pitchfork singularities. Zbl 0998.34039
Krupa, M.; Szmolyan, P.
68
2001
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
Eleven small limit cycles in a cubic vector field. Zbl 0837.34042
Żołądek, Henryk
68
1995
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
68
1994
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
68
2008
KAM theory without action-angle variables. Zbl 1067.37081
de la Llave, R.; González, A.; Jorba, À.; Villanueva, J.
67
2005
On the 2D Zakharov system with \(L^{2}\) Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
67
2009
Superlinear nonlocal fractional problems with infinitely many solutions. Zbl 1322.35158
Zhang, Binlin; Molica Bisci, Giovanni; Servadei, Raffaella
66
2015
Cubic Liénard equations with linear damping. Zbl 0716.58023
Dumortier, Freddy; Rousseau, Christiane
65
1990
Existence and stability of time-periodic solutions to the Navier-Stokes equations in the whole space. Zbl 0737.35065
Maremonti, Paolo
64
1991
Recent progress in understanding the transition to turbulence in pipe. Zbl 1084.76033
Kerswell, R. R.
64
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
Solvability and pullback attractor for a class of differential hemivariational inequalities with its applications. Zbl 07646812
Li, Xiuwen; Liu, Zhenhai; Papageorgiou, Nikolaos S.
7
2023
The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation. Zbl 1514.34075
Banaji, Murad; Boros, Balázs
4
2023
Non-reversible processes: GENERIC, hypocoercivity and fluctuations. Zbl 1516.35410
Duong, M. H.; Ottobre, M.
4
2023
On the efficient global dynamics of Newton’s method for complex polynomials. Zbl 1519.37112
Schleicher, Dierk
3
2023
Infinite WARM graphs III: strong reinforcement regime. Zbl 1523.60167
Hirsch, Christian; Holmes, Mark; Kleptsyn, Victor
3
2023
Rate-induced tipping: thresholds, edge states and connecting orbits. Zbl 1521.34050
Wieczorek, Sebastian; Xie, Chun; Ashwin, Peter
3
2023
Finite-time blow-up and boundedness in a 2D Keller-Segel system with rotation. Zbl 1505.35054
Li, Yuxiang; Wang, Wanwan
3
2023
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
2023
Exponential moments for disk counting statistics of random normal matrices in the critical regime. Zbl 07650619
Charlier, Christophe; Lenells, Jonatan
2
2023
Generalized Hardy operators. Zbl 1504.35012
Bui, The Anh; D’Ancona, Piero
2
2023
Elliptic generalisation of integrable \(q\)-deformed anisotropic Haldane-shastry long-range spin chain. Zbl 1524.82009
Matushko, M.; Zotov, A.
2
2023
Active vector models generalising 3D Euler and electron-MHD equations. Zbl 1513.76166
Chae, Dongho; Jeong, In-Jee
2
2023
On a fluid-structure interaction problem for plaque growth. Zbl 1504.35656
Abels, Helmut; Liu, Yadong
2
2023
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
2023
A density-constrained model for chemotaxis. Zbl 1506.35282
Kim, Inwon; Mellet, Antoine; Wu, Yijing
2
2023
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
2023
Chaotic dynamics in refraction galactic billiards. Zbl 1523.37021
Barutello, Vivina L.; De Blasi, Irene; Terracini, Susanna
2
2023
The free material design problem for the stationary heat equation on low dimensional structure. Zbl 07726737
Lewiński, Tomasz; Rybka, Piotr; Zatorska-Goldstein, Anna
2
2023
Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony. Zbl 1525.37038
Aguiar, Manuela; Bick, Christian; Dias, Ana
2
2023
Cramér distance and discretisations of circle expanding maps. I: Theory. Zbl 1525.37037
Guihéneuf, Pierre-Antoine; Monge, Maurizio
2
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
2023
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
2023
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
2023
Homogenization for time-periodic KPP reactions. Zbl 1510.35033
Zlatoš, Andrej
1
2023
Integrable magnetic geodesic flows on 2-surfaces. Zbl 1514.37073
Agapov, Sergei; Potashnikov, Alexey; Shubin, Vladislav
1
2023
Low regularity solutions for the Vlasov-Poisson-Landau/Boltzmann system. Zbl 1511.35252
Deng, Dingqun; Duan, Renjun
1
2023
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
1
2023
Approximate localised dihedral patterns near a Turing instability. Zbl 1511.35022
Hill, Dan J.; Bramburger, Jason J.; Lloyd, David J. B.
1
2023
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
2023
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
2023
Lower bounds on the Hausdorff dimension of some Julia sets. Zbl 1525.37046
Dudko, Artem; Gorbovickis, Igors; Tucker, Warwick
1
2023
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
2023
Time periodic solutions to Hibler’s sea ice model. Zbl 1516.35417
Brandt, Felix; Hieber, Matthias
1
2023
Asymptotic dynamics of Hamiltonian polymatrix replicators. Zbl 1520.37049
Najafi Alishah, Hassan; Duarte, Pedro; Peixe, Telmo
1
2023
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
2023
Helicity, linking and the distribution of null-homologous periodic orbits for Anosov flows. Zbl 1509.37030
Coles, Solly; Sharp, Richard
1
2023
Superharmonic instability for regularized long-wave models. Zbl 1504.35050
Bronski, Jared C.; Hur, Vera Mikyoung; Wester, Samuel Lee
1
2023
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
2023
Uniform regularity estimates and inviscid limit for the compressible non-resistive magnetohydrodynamics system. Zbl 1504.35091
Cui, Xiufang; Li, Shengxin; Xie, Feng
1
2023
Topological shadowing methods in Arnold diffusion: weak torsion and multiple time scales. Zbl 1510.37047
Clarke, Andrew; Fejoz, Jacques; Guàrdia, Marcel
1
2023
Degenerate lake equations: classical solutions and vanishing viscosity limit. Zbl 1513.76038
Al Taki, Bilal; Lacave, Christophe
1
2023
From atomistic systems to linearized continuum models for elastic materials with voids. Zbl 1506.74017
Friedrich, Manuel; Kreutz, Leonard; Zemas, Konstantinos
1
2023
Shape analysis via gradient flows on diffeomorphism groups. Zbl 07641222
Balehowsky, Tracey; Karlsson, Carl-Joar; Modin, Klas
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
Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations. Zbl 1510.35400
Kian, Yavar
1
2023
On zeros and spectral property of self-affine measures. Zbl 1519.28008
Wang, Zhi-Yong; Liu, Jing-Cheng; Dong, Xin-Han
1
2023
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
2023
Low regularity well-posedness for KP-I equations: the dispersion-generalized case. Zbl 1522.35449
Sanwal, Akansha; Schippa, Robert
1
2023
Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration-consumption interaction. Zbl 1525.35040
Winkler, Michael
1
2023
Learning strange attractors with reservoir systems. Zbl 1525.37020
Grigoryeva, Lyudmila; Hart, Allen; Ortega, Juan-Pablo
1
2023
Global existence and convergence results for a class of nonlinear time fractional diffusion equation. Zbl 1522.35557
Huy Tuan, Nguyen
1
2023
Rate of convergence in periodic homogenization for convex Hamilton-Jacobi equations with multiscales. Zbl 1522.35041
Han, Yuxi; Jang, Jiwoong
1
2023
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
2023
Projective geometry of homogeneous second-order Hamiltonian operators. Zbl 07738413
Vergallo, Pierandrea; Vitolo, Raffaele
1
2023
Anosov endomorphisms on the two-torus: regularity of foliations and rigidity. Zbl 07738414
Cantarino, Marisa; Varão, Régis
1
2023
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
2023
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning. Zbl 1490.60202
E, Weinan; Han, Jiequn; Jentzen, Arnulf
23
2022
Global dynamics of a Lotka-Volterra competition patch model. Zbl 1480.92167
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
9
2022
Turnpike in Lipschitz-nonlinear optimal control. Zbl 1484.49006
Esteve-Yagüe, Carlos; Geshkovski, Borjan; Pighin, Dario; Zuazua, Enrique
9
2022
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao-Nakra beam. Zbl 1498.37117
Aouadi, Moncef
7
2022
Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. Zbl 1481.35253
Fuest, Mario
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
2022
Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions. Zbl 1497.35475
Fujie, Kentaro; Senba, Takasi
6
2022
Weighted \(L^2\)-contractivity of Langevin dynamics with singular potentials. Zbl 1490.35496
Camrud, Evan; Herzog, David P.; Stoltz, Gabriel; Gordina, Maria
5
2022
Averaging of dispersion managed nonlinear Schrödinger equations. Zbl 1490.35404
Choi, Mi-Ran; Lee, Young-Ran
5
2022
Nonlinear parabolic stochastic evolution equations in critical spaces. I: Stochastic maximal regularity and local existence. Zbl 1496.60068
Agresti, Antonio; Veraar, Mark
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
Dimension of the singular set of wild Hölder solutions of the incompressible Euler equations. Zbl 1497.35352
De Rosa, Luigi; Haffter, Silja
5
2022
Stability and bifurcation phenomena in asymptotically Hamiltonian systems. Zbl 1502.37067
Sultanov, Oskar A.
4
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
2022
Unstable entropies and dimension theory of partially hyperbolic systems. Zbl 1487.37041
Tian, Xueting; Wu, Weisheng
4
2022
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Zbl 1481.35023
Lankeit, Johannes; Winkler, Michael
4
2022
Derivation of ensemble Kalman-Bucy filters with unbounded nonlinear coefficients. Zbl 1490.60093
Lange, Theresa
4
2022
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics. Zbl 1485.35210
Chen, Robin Ming; Walsh, Samuel; Wheeler, Miles H.
4
2022
On the modified fractional Korteweg-de Vries and related equations. Zbl 1525.76021
Klein, Christian; Saut, Jean-Claude; Wang, Yuexun
4
2022
Global bifurcation diagrams of positive solutions for a class of 1D superlinear indefinite problems. Zbl 1492.34020
Fencl, M.; López-Gómez, J.
4
2022
Spectral Moran measures on \(\mathbb{R}^2\). Zbl 1497.42019
Yan, Zhi-Hui
4
2022
Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion. Zbl 1506.35176
Wang, Peng; Guo, Zhengguang
4
2022
Historic wandering domains near cycles. Zbl 07539301
Barrientos, Pablo G.
3
2022
KdV on an incoming tide. Zbl 1479.35737
Laurens, Thierry
3
2022
Quasi-graphs, zero entropy and measures with discrete spectrum. Zbl 07479718
Li, Jian; Oprocha, Piotr; Zhang, Guohua
3
2022
On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach*. Zbl 1490.35293
Abreu, E.; Ferreira, L. C. F.; Galeano, J.; Pérez, J.
3
2022
Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems. Zbl 1501.37063
Chen, Qinbo; de la Llave, Rafael
3
2022
ADHM skyrmions. Zbl 1513.70096
Cork, Josh; Halcrow, Chris
3
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
3
2022
On matrix Painlevé-4 equations. Zbl 1512.34165
Bobrova, I. A.; Sokolov, V. V.
3
2022
On the stability of solitary wave solutions for a generalized fractional Benjamin-Bona-Mahony equation. Zbl 1482.76055
Oruc, Goksu; Natali, Fábio; Borluk, Handan; Muslu, Gulcin M.
3
2022
Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier-Stokes equations. Zbl 1487.35300
Martinez, Vincent R.
3
2022
A multiple time renewal equation for neural assemblies with elapsed time model. Zbl 1501.35398
Torres, Nicolás; Perthame, Benoît; Salort, Delphine
3
2022
Flexibility and rigidity of free boundary MHD equilibria. Zbl 1490.76231
Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel
2
2022
Approximating the ground state eigenvalue via the effective potential. Zbl 1491.82011
Chenn, Ilias; Wang, Wei; Zhang, Shiwen
2
2022
On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form. Zbl 1504.28011
Li, Jinjun; Wu, Zhiyi
2
2022
...and 1429 more Documents
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Cited by 27,910 Authors

221 Llibre, Jaume
100 Titi, Edriss Saleh
95 Guo, Boling
87 Winkler, Michael
83 Ha, Seung-Yeal
81 Li, Wan-Tong
79 Geng, Xianguo
79 Kevrekidis, Panayotis G.
78 Wu, Jiahong
76 Wei, Juncheng
74 Cao, Jinde
73 Mu, Chunlai
73 Pelinovsky, Dmitry Efimovich
71 Algaba, Antonio
70 de la Llave, Rafael
70 Rădulescu, Vicenţiu D.
69 Valls Anglés, Cláudia
64 Carrillo de la Plata, José Antonio
64 Han, Maoan
59 Giné, Jaume
58 Temam, Roger Meyer
55 Wang, Bixiang
54 Ashwin, Peter
54 Duan, Jinqiao
54 Zhang, Binlin
52 Melbourne, Ian
51 Kukavica, Igor
50 Knobloch, Edgar
49 He, Jingsong
49 Majda, Andrew J.
48 Varandas, Paulo
47 Tang, Xianhua
46 Fan, Engui
46 Guo, Shangjiang
46 Jüngel, Ansgar
46 Xu, Junxiang
44 García, Cristóbal
44 Kevrekidis, Ioannis George
44 Shi, Junping
43 Caraballo Garrido, Tomás
43 Kühn, Christian
43 Perthame, Benoît
43 Yu, Pei
43 Zaag, Hatem
42 Chen, Guanrong
42 Krauskopf, Bernd
42 Lopes, Artur Oscar
42 Schneider, Guido
41 Gao, Hongjun
41 Stewart, Ian Nicholas
41 Urbański, Mariusz
41 Wei, Junjie
40 Chae, Dongho
40 Feng, Zhaosheng
40 MacKay, Robert Sinclair
40 Vaienti, Sandro
40 Zhang, Xiang
40 Zheng, Pan
39 Gardini, Laura
39 Gasull, Armengol
39 Tao, Youshan
38 Choi, Young-Pil
38 Langa, Jose’ Antonio
38 Oprocha, Piotr
38 Tang, Chun-Lei
38 Xiang, Mingqi
38 Zelik, Sergey V.
38 Zhang, Zujin
37 Feireisl, Eduard
37 Froyland, Gary
37 Lin, Zhigui
37 Robinson, James Cooper
37 Shen, Wenxian
37 Turaev, Dmitry V.
37 Zhao, Caidi
36 Constantin, Peter
36 Grasselli, Maurizio
36 Liu, Zuhan
36 Mielke, Alexander
36 Wang, Mingxin
36 Wu, Xinxing
36 Zheng, Jiashan
35 Cordoba, Diego
35 Gala, Sadek
35 Gonchenko, Sergey V.
35 Novaes, Douglas Duarte
35 Vicol, Vlad C.
35 Wang, Zhian
35 Wiggins, Stephen R.
35 Zhong, Xin
35 Zou, Wenming
34 Chen, Haibo
34 Geng, Jiansheng
34 Guo, Zhengguang
34 Lin, Guo
34 Ward, Michael J.
34 Wu, Min
33 Borisov, Alekseĭ Vladimirovich
33 Chen, Hebai
33 Fan, Jishan
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Cited in 914 Journals

1,707 Journal of Differential Equations
1,289 Physica D
1,177 Journal of Mathematical Analysis and Applications
829 Journal of Mathematical Physics
777 Nonlinearity
726 Communications in Mathematical Physics
708 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
664 Chaos
641 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
635 Discrete and Continuous Dynamical Systems
489 Nonlinear Analysis. Real World Applications
485 Discrete and Continuous Dynamical Systems. Series B
482 Ergodic Theory and Dynamical Systems
468 Journal of Statistical Physics
432 Chaos, Solitons and Fractals
431 Communications in Nonlinear Science and Numerical Simulation
423 Journal of Nonlinear Science
421 Archive for Rational Mechanics and Analysis
395 ZAMP. Zeitschrift für angewandte Mathematik und Physik
384 SIAM Journal on Mathematical Analysis
371 Journal of Dynamics and Differential Equations
336 Applied Mathematics Letters
330 Applied Mathematics and Computation
320 Journal of Fluid Mechanics
294 Journal of Computational Physics
287 Transactions of the American Mathematical Society
282 Nonlinear Dynamics
280 Proceedings of the American Mathematical Society
275 SIAM Journal on Applied Dynamical Systems
273 Advances in Mathematics
246 Communications on Pure and Applied Analysis
245 Calculus of Variations and Partial Differential Equations
238 Dynamical Systems
236 Applicable Analysis
216 Regular and Chaotic Dynamics
206 Mathematical Methods in the Applied Sciences
205 Journal of Functional Analysis
205 Journal of Physics A: Mathematical and Theoretical
203 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
201 Qualitative Theory of Dynamical Systems
188 Computers & Mathematics with Applications
188 Journal of Mathematical Fluid Mechanics
186 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
161 Boundary Value Problems
156 Acta Applicandae Mathematicae
155 Journal of Mathematical Biology
154 Journal of Computational and Applied Mathematics
151 Discrete and Continuous Dynamical Systems. Series S
150 Communications in Partial Differential Equations
148 Abstract and Applied Analysis
145 Advances in Difference Equations
142 Journal de Mathématiques Pures et Appliquées. Neuvième Série
139 Science China. Mathematics
135 Journal of Geometry and Physics
131 Studies in Applied Mathematics
131 Journal of Difference Equations and Applications
128 Acta Mathematica Sinica. English Series
124 Physics of Fluids
123 Journal of Nonlinear Mathematical Physics
119 Physics Letters. A
118 Celestial Mechanics and Dynamical Astronomy
116 Theoretical and Mathematical Physics
115 Journal of Evolution Equations
114 Annales Henri Poincaré
114 Stochastics and Dynamics
111 NoDEA. Nonlinear Differential Equations and Applications
108 Journal of High Energy Physics
105 SIAM Journal on Applied Mathematics
103 Comptes Rendus. Mathématique. Académie des Sciences, Paris
92 Israel Journal of Mathematics
91 Monatshefte für Mathematik
89 Advances in Nonlinear Analysis
88 Journal of Scientific Computing
87 Applied Mathematics and Optimization
87 Inventiones Mathematicae
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87 Topology and its Applications
84 Mathematics and Computers in Simulation
84 The Journal of Geometric Analysis
84 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
81 Communications in Contemporary Mathematics
80 Bulletin of Mathematical Biology
79 Computer Methods in Applied Mechanics and Engineering
79 European Journal of Applied Mathematics
79 Journal of Theoretical Biology
78 Communications on Pure and Applied Mathematics
77 Physica A
77 Chinese Annals of Mathematics. Series B
77 Fractals
76 Acta Mathematica Scientia. Series B. (English Edition)
75 Kinetic and Related Models
74 Journal of Dynamical and Control Systems
73 Wave Motion
73 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
72 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
71 Complex Variables and Elliptic Equations
69 Bulletin des Sciences Mathématiques
68 Letters in Mathematical Physics
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68 Quarterly of Applied Mathematics
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16,492 Partial differential equations (35-XX)
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