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Journal of Nonlinear Science

Short Title: J. Nonlinear Sci.
Publisher: Springer US, New York, NY
ISSN: 0938-8974; 1432-1467/e
Online: https://link.springer.com/journal/332/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,336 Publications (since 1991)
References Indexed: 1,139 Publications with 44,423 References.
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Latest Issues

34, No. 4 (2024)
34, No. 3 (2024)
34, No. 2 (2024)
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33, No. 6 (2023)
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21, No. 6 (2011)
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19, No. 6 (2009)
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18, No. 6 (2008)
18, No. 5 (2008)
18, No. 4 (2008)
18, No. 3 (2008)
18, No. 2 (2008)
18, No. 1 (2008)
...and 92 more Volumes
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Authors

16 Holm, Darryl Dallas
15 Titi, Edriss Saleh
11 Majda, Andrew J.
10 Jiang, Daqing
10 Wei, Juncheng
9 Ashwin, Peter
9 Gay-Balmaz, François
8 Chossat, Pascal
8 Doelman, Arjen
8 Domokos, Gábor
8 Holmes, Philip J.
8 Kohn, Robert Vita
8 Pelinovsky, Dmitry Efimovich
8 Scheel, Arnd
8 Wu, Jiahong
7 Celletti, Alessandra
7 Chae, Dongho
7 Mezić, Igor
7 Schneider, Guido
7 M-Seara, Tere
7 Zenkov, Dmitry V.
6 Degond, Pierre
6 Golubitsky, Martin A.
6 Kanso, Eva Adnan
6 Kaper, Tasso J.
6 Koltai, Péter
6 LeBlanc, Victor G.
6 Leok, Melvin
6 Llibre, Jaume
6 Medvedev, Georgi S.
6 Mielke, Alexander
6 Rademacher, Jens Diederich Michael
6 Ratiu, Tudor Stefan
6 Sandstede, Björn
6 Stewart, Ian Nicholas
6 Yavari, Arash
6 Zhao, Xiao-Qiang
5 Birnir, Bjorn
5 Bona, Jerry Lloyd
5 de la Llave, Rafael
5 Fokas, Athanassios S.
5 Geng, Xianguo
5 James, Richard D.
5 Klein, Christian
5 Klus, Stefan
5 Kühn, Christian
5 Liu, Jianguo
5 Liu, Qun
5 Marsden, Jerrold Eldon
5 Martín de Diego, David
5 McLaughlin, David W.
5 Mei, Ming
5 Pego, Robert Leo
5 Pérez-Chavela, Ernesto
5 Putkaradze, Vakhtang
5 Rowley, Clarence Worth
5 Schütte, Christof
5 Shi, Donghua
5 Uldall Kristiansen, K.
5 Ward, Michael J.
5 Wiggins, Stephen R.
5 Yi, Yingfei
4 Al-saedi, Ahmed Eid Salem
4 Bauer, Martin
4 Bloch, Anthony Michael
4 Boyer, Frédéric
4 Constantin, Peter
4 Crowdy, Darren Gregory
4 Davoli, Elisa
4 Dias, Ana Paula S.
4 Ercolani, Nicholas M.
4 Fonseca, Irene
4 Grabovsky, Yury
4 Grotta Ragazzo, Clodoaldo
4 Ha, Seung-Yeal
4 Hayat, Tasawar
4 Hogan, S. John
4 Holcman, David
4 Kevrekidis, Ioannis George
4 Kevrekidis, Panayotis G.
4 Knobloch, Edgar
4 Lawley, Sean D.
4 Lenells, Jonatan
4 Li, Y. Charles
4 Liu, Meng
4 Luesink, Erwin
4 MacKay, Robert Sinclair
4 Marangell, Robert
4 Murray, James Dickson
4 Neff, Patrizio
4 Niethammer, Barbara
4 Noble, Pascal
4 Otto, Felix
4 Protas, Bartosz
4 Qi, Di
4 Ruan, Shigui
4 Saut, Jean-Claude
4 Shi, Junping
4 Swift, James W.
4 Szalai, Róbert
...and 2,068 more Authors
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Fields

575 Partial differential equations (35-XX)
496 Dynamical systems and ergodic theory (37-XX)
280 Fluid mechanics (76-XX)
270 Ordinary differential equations (34-XX)
211 Biology and other natural sciences (92-XX)
197 Mechanics of particles and systems (70-XX)
148 Mechanics of deformable solids (74-XX)
113 Numerical analysis (65-XX)
109 Probability theory and stochastic processes (60-XX)
109 Statistical mechanics, structure of matter (82-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
68 Systems theory; control (93-XX)
54 Differential geometry (53-XX)
34 Global analysis, analysis on manifolds (58-XX)
33 Geophysics (86-XX)
31 Optics, electromagnetic theory (78-XX)
29 Operator theory (47-XX)
24 Computer science (68-XX)
19 Operations research, mathematical programming (90-XX)
15 Integral equations (45-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Difference and functional equations (39-XX)
13 Combinatorics (05-XX)
12 Measure and integration (28-XX)
12 Statistics (62-XX)
11 Quantum theory (81-XX)
10 Real functions (26-XX)
10 Classical thermodynamics, heat transfer (80-XX)
10 Information and communication theory, circuits (94-XX)
9 Algebraic geometry (14-XX)
9 Convex and discrete geometry (52-XX)
7 Functional analysis (46-XX)
6 Approximations and expansions (41-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Functions of a complex variable (30-XX)
5 Potential theory (31-XX)
5 Special functions (33-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 General topology (54-XX)
5 Relativity and gravitational theory (83-XX)
4 Commutative algebra (13-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Nonassociative rings and algebras (17-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Integral transforms, operational calculus (44-XX)
3 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)

Publications by Year

Citations contained in zbMATH Open

1,121 Publications have been cited 15,564 times in 12,411 Documents Cited by Year
A data-driven approximation of the koopman operator: extending dynamic mode decomposition. Zbl 1329.65310
Williams, Matthew O.; Kevrekidis, Ioannis G.; Rowley, Clarence W.
254
2015
Stability of the Camassa-Holm solitons. Zbl 1022.35053
Constantin, A.; Strauss, W. A.
239
2002
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044
Bona, J. L.; Chen, M.; Saut, J.-C.
238
2002
Time integration and discrete Hamiltonian systems. Zbl 0866.58030
Gonzalez, O.
220
1996
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020
Ball, J. M.
205
1997
How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040
Winkler, Michael
159
2014
Formation and dynamics of shock waves in the Degasperis-Procesi equation. Zbl 1185.35194
Lundmark, H.
153
2007
Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species. Zbl 1262.35203
Horstmann, Dirk
117
2011
Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations. Zbl 1442.91116
Beck, Christian; E, Weinan; Jentzen, Arnulf
114
2019
Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. Zbl 1259.35009
Chen, Kevin K.; Tu, Jonathan H.; Rowley, Clarence W.
104
2012
The dynamics of \(n\) weakly coupled identical oscillators. Zbl 0872.58049
Ashwin, P.; Swift, J. W.
96
1992
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
93
2014
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035
Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
91
1997
The membrane shell model in nonlinear elasticity: A variational asymptotic derivation. Zbl 0844.73045
Le Dret, Hervé; Raoult, Annie
90
1996
Poisson geometry of the filament equation. Zbl 0795.35115
Langer, Joel; Perline, Ron
87
1991
Robust heteroclinic cycles. Zbl 0879.58054
Krupa, M.
84
1997
Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012
Collins, J. J.; Stewart, I. N.
84
1993
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan
84
2018
On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083
Constantin, A.
81
2000
On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064
Li, W.-T.; Ruan, S.; Wang, Z.-C.
80
2007
Bounds and new approaches for the 3D MHD equations. Zbl 1029.76062
Wu, Jiahong
80
2002
Numerical integration of ordinary differential equations on manifolds. Zbl 0798.34012
Crouch, P. E.; Grossman, R.
79
1993
Permanence of stochastic Lotka-Volterra systems. Zbl 1387.60106
Liu, Meng; Fan, Meng
79
2017
Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. Zbl 1084.74501
Friesecke, G.; Theil, F.
79
2002
Spatial dynamics of a nonlocal dispersal population model in a shifting environment. Zbl 1394.35240
Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang
77
2018
Singular perturbation and the energy of folds. Zbl 0973.49009
Jin, W.; Kohn, R. V.
72
2000
Dynamics of a two-prey one-predator system in random environments. Zbl 1279.92088
Liu, Meng; Wang, Ke
72
2013
The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051
Mirollo, R.; Strogatz, S. H.
70
2007
Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model. Zbl 1030.35011
Ward, M. J.; Wei, J.
68
2003
Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015
Hou, Thomas Y.; Li, Ruo
66
2006
Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032
Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B.
65
2005
On the validity of the Ginzburg-Landau equation. Zbl 0795.35112
van Harten, A.
64
1991
Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. Zbl 1104.37031
Zou, Y.; Kupper, T.; Beyn, W.-J.
63
2006
The \(n\)-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
63
2012
The transition from bursting to continuous spiking in excitable membrane models. Zbl 0900.92059
Terman, D.
62
1992
A vector general nonlinear Schrödinger equation with \((m+n)\) components. Zbl 1437.35627
Geng, Xianguo; Li, Ruomeng; Xue, Bo
62
2020
On convergence of extended dynamic mode decomposition to the Koopman operator. Zbl 1457.37103
Korda, Milan; Mezić, Igor
60
2018
Data-driven model reduction and transfer operator approximation. Zbl 1396.37083
Klus, Stefan; Nüske, Feliks; Koltai, Péter; Wu, Hao; Kevrekidis, Ioannis; Schütte, Christof; Noé, Frank
60
2018
Nonconstant positive steady states and pattern formation of 1D prey-taxis systems. Zbl 1368.92160
Wang, Qi; Song, Yang; Shao, Lingjie
60
2017
Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152
Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S.
59
2009
The Sobolev stability threshold for 2D shear flows near Couette. Zbl 1403.35228
Bedrossian, Jacob; Vicol, Vlad; Wang, Fei
58
2018
On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the Tritronquée solution to the Painlevé-I equation. Zbl 1220.37048
Dubrovin, B.; Grava, T.; Klein, C.
58
2009
A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116
Lou, Yijun; Zhao, Xiao-Qiang
58
2017
Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345
Wei, J.; Winter, M.
58
2001
Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups. Zbl 0799.58069
Lewis, Debra; Simo, J. C.
55
1994
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
55
2013
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
53
2009
Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model. Zbl 1270.35093
van der Stelt, Sjors; Doelman, Arjen; Hek, Geertje; Rademacher, Jens D. M.
53
2013
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
52
2019
On the integrability and perturbation of three-dimensional fluid flows with symmetry. Zbl 0796.76021
Mezić, I.; Wiggins, S.
50
1994
A mathematical model of intermittent androgen suppression for prostate cancer. Zbl 1172.92021
Ideta, Aiko Miyamura; Tanaka, Gouhei; Takeuchi, Takumi; Aihara, Kazuyuki
49
2008
Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120
Guo, Shangjiang; Ma, Li
49
2016
Analysis of the computational singular perturbation reduction method for chemical kinetics. Zbl 1053.92051
Zagaris, A.; Kaper, H. G.; Kaper, T. J.
49
2004
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024
Liang, D.; Wu, J.
49
2003
A predator-prey model with a Holling type I functional response including a predator mutual interference. Zbl 1238.92049
Seo, Gunog; DeAngelis, Donald L.
49
2011
Dynamics of a stochastic predator-prey model with stage structure for predator and Holling type II functional response. Zbl 1395.34053
Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed
47
2018
Optimal strokes for low Reynolds number swimmers: an example. Zbl 1146.76062
Alouges, François; DeSimone, Antonio; Lefebvre, Aline
47
2008
Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain. Zbl 1178.35039
Kolokolnikov, T.; Ward, M. J.; Wei, J.
46
2009
Optimal harvesting of a stochastic logistic model with time delay. Zbl 1329.60186
Liu, Meng; Bai, Chuanzhi
46
2015
Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033
Slemrod, M.; Sternberg, N.
46
2001
Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces. Zbl 1125.37045
Fedorov, Y. N.; Jovanović, Božidar Žarko
46
2004
Centre manifold reduction for quasilinear discrete systems. Zbl 1185.37158
James, G.
46
2003
Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071
Chen, Shanshan; Shi, Junping; Wei, Junjie
46
2013
The \(n\)-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
46
2012
Some curious phenomena in coupled cell networks. Zbl 1136.37359
Golubitsky, M.; Nicol, M.; Stewart, I.
45
2004
On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. Zbl 1348.35171
Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio
45
2016
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
44
1992
Scaling laws in microphase separation of diblock copolymers. Zbl 1023.82015
Choksi, R.
44
2001
A geometric theory of growth mechanics. Zbl 1428.74157
Yavari, Arash
44
2010
A reaction-diffusion model of vector-borne disease with periodic delays. Zbl 1411.35170
Wu, Ruiwen; Zhao, Xiao-Qiang
43
2019
Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226
Chen, Jinbing; Pelinovsky, Dmitry E.
43
2019
Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. Zbl 1123.35327
Li, Bo; Liu, Jian-Guo
42
2004
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116
Barbu, Viorel; Röckner, Michael; Zhang, Deng
42
2014
Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems. Zbl 1242.35147
Wang, Haiyan
42
2011
Dressing for a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1209.35130
Lenells, Jonatan
42
2010
On the dynamics of fine structure. Zbl 0791.35030
Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.
41
1991
Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336
Constantin, A.; Kolev, B.
41
2006
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
41
2012
Wave breaking of the Camassa-Holm equation. Zbl 1247.35104
Jiang, Zaihong; Ni, Lidiao; Zhou, Yong
41
2012
Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. Zbl 1254.37053
Aguiar, M.; Ashwin, P.; Dias, A.; Field, M.
40
2011
New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364
Abramov, Rafail V.; Majda, Andrew J.
40
2008
Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241
Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur
40
2010
Theory and computation of covariant Lyapunov vectors. Zbl 1301.37065
Kuptsov, Pavel V.; Parlitz, Ulrich
40
2012
On the persistence of lower dimensional invariant tori under quasi-periodic perturbations. Zbl 0898.58044
Jorba, À.; Villanueva, J.
39
1997
Integrators for nonholonomic mechanical systems. Zbl 1104.37043
McLachlan, R.; Perlmutter, M.
39
2006
A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071
Horstmann, D.; Stevens, A.
39
2004
Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy. Zbl 1309.37070
Geng, Xianguo; Wu, Lihua; He, Guoliang
38
2013
Computing (un)stable manifolds with validated error bounds: non-resonant and resonant spectra. Zbl 1360.37176
van den Berg, Jan Bouwe; Mireles James, Jason D.; Reinhardt, Christian
38
2016
Local Lyapunov exponents computed from observed data. Zbl 0802.58041
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
37
1992
Hölder continuity for the Fokas-Olver-Rosenau-Qiao equation. Zbl 1309.35109
Himonas, A. Alexandrou; Mantzavinos, Dionyssios
37
2014
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
37
2007
Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361
Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping
36
2002
Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238
Gui, Guilong; Liu, Yue; Luo, Ting
36
2019
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
35
2007
Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system. Zbl 1361.35024
Carter, Paul; de Rijk, Björn; Sandstede, Björn
35
2016
Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Zbl 1428.35485
Bilman, Deniz; Buckingham, Robert
35
2019
Topological analysis of chaotic time series data from the Belousov- Zhabotinskii reaction. Zbl 0797.58057
Mindlin, G. B.; Solari, H. G.; Natiello, M. A.; Gilmore, R.; Hou, X.-J.
34
1991
Variation of Lyapunov exponents on a strange attractor. Zbl 0797.58053
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
34
1991
Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131
Bona, J. L.; McKinney, W. R.; Restrepo, J. M.
34
2000
Integrable equations arising from motions of plane curves. II. Zbl 1045.35063
Chou, K.-S.; Qu, C.-Z.
34
2003
Incompressible limit of the Ericksen-Leslie parabolic-hyperbolic liquid crystal model. Zbl 1531.76007
Guo, Liang; Jiang, Ning; Li, Fucai; Luo, Yi-Long; Tang, Shaojun
1
2024
A hydrodynamical model of nematic liquid crystal films with a general state of orientational order. Zbl 07765722
Bouck, Lucas; Nochetto, Ricardo H.; Yushutin, Vladimir
1
2024
Vortex on surfaces and Brownian motion in higher dimensions: special metrics. Zbl 07812567
Grotta-Ragazzo, Clodoaldo
1
2024
Dynamics of a piecewise-linear Morris-Lecar model: bifurcations and spike adding. Zbl 07839650
Penalva, J.; Desroches, M.; Teruel, A. E.; Vich, C.
1
2024
Strong symmetry breaking in coupled, identical Lengyel-Epstein oscillators via folded singularities. Zbl 07839651
Awal, Naziru M.; Epstein, Irving R.; Kaper, Tasso J.; Vo, Theodore
1
2024
Threshold dynamics and probability density function of a stochastic avian influenza epidemic model with nonlinear incidence rate and psychological effect. Zbl 1512.34100
Zhou, Baoquan; Jiang, Daqing; Dai, Yucong; Hayat, Tasawar
12
2023
Optimal decay rates of the compressible Euler equations with time-dependent damping in \(\mathbb{R}^n\). I: Under-damping case. Zbl 07615135
Ji, Shanming; Mei, Ming
7
2023
Evolution of dispersal in advective patchy environments. Zbl 1510.92157
Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang
7
2023
Stochastic variational principles for dissipative equations with advected quantities. Zbl 1524.76329
Chen, Xin; Cruzeiro, Ana Bela; Ratiu, Tudor S.
6
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Rogue waves and their patterns in the vector nonlinear Schrödinger equation. Zbl 1526.35114
Zhang, Guangxiong; Huang, Peng; Feng, Bao-Feng; Wu, Chengfa
6
2023
Finite-data error bounds for Koopman-based prediction and control. Zbl 1509.37122
Nüske, Feliks; Peitz, Sebastian; Philipp, Friedrich; Schaller, Manuel; Worthmann, Karl
5
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Closed 1/2-elasticae in the 2-sphere. Zbl 1514.53043
Musso, Emilio; Pámpano, Álvaro
4
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Optimal control, contact dynamics and Herglotz variational problem. Zbl 1515.37108
de León, Manuel; Lainz, Manuel; Muñoz-Lecanda, Miguel C.
4
2023
Global small solutions to a special \(2\frac{1}{2}\)-D compressible viscous non-resistive MHD system. Zbl 1504.35309
Dong, Boqing; Wu, Jiahong; Zhai, Xiaoping
4
2023
Analysis of a stochastic HBV infection model with DNA-containing capsids and virions. Zbl 1510.34097
Liu, Qun; Shi, Zhenfeng
4
2023
Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty. Zbl 1526.35037
Avery, Montie; Holzer, Matt; Scheel, Arnd
4
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Extreme statistics of superdiffusive Lévy flights and every other Lévy subordinate Brownian motion. Zbl 1515.60165
Lawley, Sean D.
3
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On two coupled degenerate parabolic equations motivated by thermodynamics. Zbl 1512.35393
Mielke, Alexander
3
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Mathematical theory of nonlinear single-phase poroelasticity. Zbl 1524.74126
van Duijn, C. J.; Mikelić, Andro
3
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Stochastic gradient descent with noise of machine learning type. I: Discrete time analysis. Zbl 1518.90085
Wojtowytsch, Stephan
3
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On nonexistence of splash singularities for the \(\alpha\)-SQG patches. Zbl 1510.35341
Kiselev, Alexander; Luo, Xiaoyutao
3
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Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme. Zbl 1511.94010
Davoli, Elisa; Fonseca, Irene; Liu, Pan
3
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Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism. Zbl 1504.49015
Ginster, Janusz; Zwicknagl, Barbara
3
2023
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. Zbl 1510.35163
Garcke, Harald; Knopf, Patrik; Nürnberg, Robert; Zhao, Quan
3
2023
Exponential asymptotic stability of the Kuramoto system with periodic natural frequencies and constant inertia. Zbl 1511.34053
Choi, Sun-Ho; Seo, Hyowon
2
2023
Generalized analytical results on \(n\)-ejection-collision orbits in the RTBP. Analysis of bifurcations. Zbl 1506.70013
M-Seara, T.; Ollé, M.; Rodríguez, Ó.; Soler, J.
2
2023
On scaling laws for multi-well nucleation problems without gauge invariances. Zbl 1513.74136
Rüland, Angkana; Tribuzio, Antonio
2
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A homogenized bending theory for prestrained plates. Zbl 1513.74041
Böhnlein, Klaus; Neukamm, Stefan; Padilla-Garza, David; Sander, Oliver
2
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From second-order differential geometry to stochastic geometric mechanics. Zbl 1519.70025
Huang, Qiao; Zambrini, Jean-Claude
2
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A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence. Zbl 1524.74008
Saem, Maryam Mohammadi; Ghiba, Ionel-Dumitrel; Neff, Patrizio
2
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On a two-species attraction-repulsion chemotaxis system with nonlocal terms. Zbl 1518.35128
Zheng, Pan; Hu, Runlin; Shan, Wenhai
2
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Nilpotent singularities and periodic perturbation of a \(GI \beta\) model: a pathway to glucose disorder. Zbl 1518.34061
Tao, Yiwen; Sun, Yutong; Zhu, Huaiping; Lyu, Jiangnan; Ren, Jingli
2
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Equilateral chains and cyclic central configurations of the planar five-body problem. Zbl 1502.70027
Deng, Yiyang; Hampton, Marshall
2
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Non-uniform continuity of the generalized Camassa-Holm equation in Besov spaces. Zbl 1501.35040
Li, Jinlu; Wu, Xing; Zhu, Weipeng; Guo, Jiayu
2
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Koopman-based spectral clustering of directed and time-evolving graphs. Zbl 1507.37112
Klus, Stefan; Djurdjevac Conrad, Nataša
2
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Dynamics of a stochastic SVEIR epidemic model incorporating general incidence rate and Ornstein-Uhlenbeck process. Zbl 1517.92047
Zhang, Xinhong; Su, Tan; Jiang, Daqing
2
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On the role of the displacement current and the Cattaneo’s law on boundary layers of plasma. Zbl 1527.35252
Aarach, Nacer; De Anna, Francesco; Paicu, Marius; Zhu, Ning
2
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Large amplitude radially symmetric spots and gaps in a dryland ecosystem model. Zbl 1526.35025
Byrnes, Eleanor; Carter, Paul; Doelman, Arjen; Liu, Lily
2
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Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization. Zbl 1510.35257
Moston-Duggan, Aaron J.; Porter, Mason A.; Lustri, Christopher J.
1
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Homogenization of dissipative Hamiltonian systems under Lévy fluctuations. Zbl 1509.37059
Wang, Zibo; Lv, Li; Duan, Jinqiao
1
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Magnetic trajectories in Killing magnetic backgrounds framed in 3D \(pp\)-waves. Zbl 1503.78002
Iqbal, Zafar
1
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Discrete Hamiltonian variational mechanics and Hamel’s integrators. Zbl 1513.70050
Gao, Shan; Shi, Donghua; Zenkov, Dmitry V.
1
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Existence for a Cahn-Hilliard model for lithium-ion batteries with exponential growth boundary conditions. Zbl 1518.35006
Stinson, Kerrek
1
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Time averages and periodic attractors at high Rayleigh number for Lorenz-like models. Zbl 1523.37067
Ovsyannikov, Ivan; Rademacher, Jens D. M.; Welter, Roland; Lu, Bing-ying
1
2023
Correction to: “The regularized visible fold revisited”. Zbl 1520.34016
Kristiansen, K. Uldall
1
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Asymptotic analysis of linearly elastic flexural shells subjected to an obstacle in absence of friction. Zbl 1519.35167
Piersanti, Paolo
1
2023
Dissipative localised structures for the complex discrete Ginzburg-Landau equation. Zbl 1512.35537
Hennig, Dirk; Karachalios, Nikos I.; Cuevas-Maraver, Jesús
1
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Continuum limits of coupled oscillator networks depending on multiple sparse graphs. Zbl 1521.34036
Ihara, Ryosuke; Yagasaki, Kazuyuki
1
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Intrinsic nonlinear elasticity: an exterior calculus formulation. Zbl 1528.74012
Rashad, Ramy; Brugnoli, Andrea; Califano, Federico; Luesink, Erwin; Stramigioli, Stefano
1
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A new decomposition of the graph Laplacian and the binomial structure of mass-action systems. Zbl 1519.05158
Müller, Stefan
1
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Theoretical and computational analysis of the thermal quasi-geostrophic model. Zbl 1529.35515
Crisan, D.; Holm, D. D.; Luesink, E.; Mensah, P. R.; Pan, W.
1
2023
Dynamic behavior of a general stochastic HIV model with virus-to-cell infection, cell-to-cell transmission, immune response and distributed delays. Zbl 07741970
Wang, Yan; Lu, Minmin; Jiang, Daqing
1
2023
Stability of heteroclinic cycles: a new approach based on a replicator equation. Zbl 07741972
Peixe, Telmo; Rodrigues, Alexandre A.
1
2023
Spreading properties for non-autonomous Fisher-KPP equations with non-local diffusion. Zbl 1522.35068
Ducrot, Arnaud; Jin, Zhucheng
1
2023
Generalized Nijenhuis torsions and block-diagonalization of operator fields. Zbl 1511.53011
Reyes, Daniel; Tempesta, Piergiulio; Tondo, Giorgio
1
2023
Uniqueness and non-uniqueness results for forced dyadic MHD models. Zbl 1504.35307
Dai, Mimi; Friedlander, Susan
1
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Breakdown of heteroclinic connections in the analytic Hopf-zero singularity: rigorous computation of the Stokes constant. Zbl 1510.37079
Baldomá, Inmaculada; Capiński, Maciej J.; Guardia, Marcel; Seara, Tere M.
1
2023
A geometric look at momentum flux and stress in fluid mechanics. Zbl 1516.76003
Gilbert, Andrew D.; Vanneste, Jacques
1
2023
Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice. Zbl 1509.74002
Alicandro, R.; De Luca, L.; Lazzaroni, G.; Palombaro, M.; Ponsiglione, M.
1
2023
\(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\). Zbl 1532.53089
Erjavec, Zlatko; Inoguchi, Jun-ichi
1
2023
Fractional-order periodic maps: stability analysis and application to the periodic-2 limit cycles in the nonlinear systems. Zbl 1530.39009
Bhalekar, Sachin; Gade, Prashant M.
1
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A three-dimensional generalization of QRT maps. Zbl 1533.37134
Alonso, Jaume; Suris, Yuri B.; Wei, Kangning
1
2023
The complete classification of solutions to the Riemann problem of the defocusing complex modified KdV equation. Zbl 1486.37034
Wang, Deng-Shan; Xu, Ling; Xuan, Zuxing
15
2022
Dynamical behaviors of a stochastic food chain system with Ornstein-Uhlenbeck process. Zbl 1490.60206
Yang, Qing; Zhang, Xinhong; Jiang, Daqing
15
2022
Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation. Zbl 1498.35058
Yang, Bo; Yang, Jianke
11
2022
Optimal harvesting of stochastic population models with periodic coefficients. Zbl 1480.92172
Liu, Meng
10
2022
Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations. Zbl 1529.37042
Jia, Minxin; Geng, Xianguo; Wei, Jiao
9
2022
Well-posedness of Hibler’s dynamical sea-ice model. Zbl 1507.35294
Liu, Xin; Thomas, Marita; Titi, Edriss S.
8
2022
Accelerated optimization on Riemannian manifolds via discrete constrained variational integrators. Zbl 1493.90225
Duruisseaux, Valentin; Leok, Melvin
8
2022
The finite-time blow-up for semilinear fractional diffusion equations with time \(\psi\)-Caputo derivative. Zbl 1498.35109
Li, Changpin; Li, Zhiqiang
8
2022
Rigorous analysis and dynamics of Hibler’s sea ice model. Zbl 1492.35348
Brandt, Felix; Disser, Karoline; Haller-Dintelmann, Robert; Hieber, Matthias
7
2022
Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs. Zbl 1480.35022
Ishii, Yuta
7
2022
Adaptive dynamics of a stoichiometric phosphorus-algae-zooplankton model with environmental fluctuations. Zbl 1496.37096
Zhao, Shengnan; Yuan, Sanling; Wang, Hao
6
2022
Stationary distribution, extinction and probability density function of a stochastic vegetation-water model in arid ecosystems. Zbl 1496.37097
Zhou, Baoquan; Han, Bingtao; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed
6
2022
Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits. Zbl 1497.37063
Yagasaki, Kazuyuki
6
2022
Stochastic port-Hamiltonian systems. Zbl 1523.37064
Cordoni, Francesco; Di Persio, Luca; Muradore, Riccardo
5
2022
Analysis of a stochastic phytoplankton-zooplankton model under non-degenerate and degenerate diffusions. Zbl 1492.92134
Mu, Xiaojie; Jiang, Daqing; Alsaedi, Ahmed
5
2022
Dynamic mode decomposition for continuous time systems with the Liouville operator. Zbl 1497.37108
Rosenfeld, Joel A.; Kamalapurkar, Rushikesh; Gruss, L. Forest; Johnson, Taylor T.
5
2022
Remarks on Liouville-type theorems for the steady MHD and Hall-MHD equations. Zbl 1481.35306
Chen, Xiaomeng; Li, Shuai; Wang, Wendong
5
2022
Finite-dimensionality of tempered random uniform attractors. Zbl 1487.37091
Cui, Hongyong; Cunha, Arthur C.; Langa, José A.
5
2022
Kinetic equation for soliton gas: integrable reductions. Zbl 1491.35392
Ferapontov, E. V.; Pavlov, M. V.
5
2022
Microscopical justification of solid-state wetting and dewetting. Zbl 1489.82023
Piovano, Paolo; Velčić, Igor
4
2022
Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids. Zbl 1506.37105
Demoures, François; Gay-Balmaz, François
4
2022
Platonic solids and symmetric solutions of the \(N\)-vortex problem on the sphere. Zbl 1513.70075
García-Azpeitia, Carlos; García-Naranjo, Luis C.
4
2022
Quasistatic hypoplasticity at large strains Eulerian. Zbl 1490.65208
Roubíček, Tomáš
4
2022
Vortex pairs and dipoles on closed surfaces. Zbl 1494.76023
Gustafsson, Björn
4
2022
Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems. Zbl 1504.37102
Antown, Fadi; Froyland, Gary; Galatolo, Stefano
4
2022
Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction. Zbl 1505.70035
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael
4
2022
A \(\bar{\partial}\)-steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 1486.37035
Wang, Fudong; Ma, Wen-Xiu
4
2022
Linear instability of breathers for the focusing nonlinear Schrödinger equation. Zbl 1492.35247
Haragus, Mariana; Pelinovsky, Dmitry E.
4
2022
Spreading equilibria under mildly singular potentials: pancakes versus droplets. Zbl 1503.35158
Durastanti, Riccardo; Giacomelli, Lorenzo
4
2022
Secondary flows from a linear array of vortices perturbed principally by a Fourier mode. Zbl 1491.35312
Chen, Zhi-Min
3
2022
On the ternary Ohta-Kawasaki free energy and its one-dimensional global minimizers. Zbl 1504.82059
Xu, Zirui; Du, Qiang
3
2022
Spatial dynamics of species with annually synchronized emergence of adults. Zbl 1498.35331
Bai, Zhenguo; Lou, Yijun; Zhao, Xiao-Qiang
3
2022
Algae-bacteria interactions with nutrients and light: a reaction-diffusion-advection model. Zbl 1492.92075
Yan, Yawen; Zhang, Jimin; Wang, Hao
3
2022
Mathematical framework for breathing Chimera states. Zbl 1489.34059
Omel’chenko, O. E.
3
2022
Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations. Zbl 1498.76110
Peng, Yi; Wang, Huaqiao; Xu, Qiuju
2
2022
Non-autonomous differential systems with delays: a global attraction analysis. Zbl 1500.34058
Ruiz-Herrera, Alfonso
2
2022
Weak solutions to the stationary Cahn-Hilliard/Navier-Stokes equations for compressible fluids. Zbl 1487.35318
Liang, Zhilei; Wang, Dehua
2
2022
A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation. Zbl 1498.37106
Xia, Baoqiang
2
2022
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Cited by 13,432 Authors

78 Geng, Xianguo
66 Wei, Juncheng
53 Ha, Seung-Yeal
53 Jiang, Daqing
52 Ward, Michael J.
47 Yin, Zhaoyang
46 Mu, Chunlai
45 Titi, Edriss Saleh
43 Ashwin, Peter
42 Guo, Boling
42 Kühn, Christian
41 Holm, Darryl Dallas
41 Liu, Yue
41 Schneider, Guido
40 Scheel, Arnd
39 Majda, Andrew J.
39 Pelinovsky, Dmitry Efimovich
36 Qiao, Zhijun
36 Qu, Changzheng
35 Guo, Shangjiang
33 Carrillo de la Plata, José Antonio
33 Degond, Pierre
33 Klein, Christian
33 Mielke, Alexander
33 Wang, Bixiang
32 Li, Wan-Tong
31 de la Llave, Rafael
31 Mezić, Igor
31 Tian, Lixin
31 Wu, Jiahong
30 Stewart, Ian Nicholas
29 Hayat, Tasawar
29 Kevrekidis, Panayotis G.
29 Martín de Diego, David
29 Stefanelli, Ulisse
29 Zhou, Shouming
28 Betsch, Peter
28 He, Jingsong
27 Gay-Balmaz, François
27 Kolokolnikov, Theodore
27 Marsden, Jerrold Eldon
27 Mitsotakis, Dimitrios E.
27 Saut, Jean-Claude
27 Shi, Junping
26 Grasselli, Maurizio
26 Li, Yong
26 Liu, Meng
26 Llibre, Jaume
26 Mireles-James, Jason D.
26 Wang, Hao
25 Gal, Ciprian Gheorghe Sorin
25 Kutz, J. Nathan
25 Song, Yongli
25 Winkler, Michael
24 Brunton, Steven L.
24 Hou, Thomas Yizhao
24 Mariano, Paolo Maria
24 Wu, Shiliang
23 Celletti, Alessandra
23 Duan, Jinqiao
23 Jentzen, Arnulf
23 Kružík, Martin
23 Liu, Jianguo
23 Wiggins, Stephen R.
23 Zheng, Pan
22 Fan, Engui
22 Jolly, Michael Summerfield
22 Kevrekidis, Ioannis George
22 Shen, Wenxian
22 Zhang, Wei
22 Zhao, Xiao-Qiang
21 Conti, Sergio
21 Doelman, Arjen
21 Kalisch, Henrik
21 Pérez-Chavela, Ernesto
21 Ruan, Shigui
21 Tian, Shoufu
21 Yavari, Arash
20 Borisov, Alekseĭ Vladimirovich
20 Cung The Anh
20 García-Naranjo, Luis C.
20 Goriely, Alain
20 Li, Ruomeng
20 Ling, Liming
20 Mamaev, Ivan Sergeevich
20 M-Seara, Tere
20 Truskinovsky, Lev
20 Wang, Zhi Cheng
20 Wei, Jiao
19 Aihara, Kazuyuki
19 Bloch, Anthony Michael
19 Mei, Ming
19 Uldall Kristiansen, K.
19 Wang, Shu
19 Wechselberger, Martin
19 Xue, Bo
19 Zhang, Tonghua
18 Aguiar, Manuela A. D.
18 Bick, Christian
18 Bona, Jerry Lloyd
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Cited in 645 Journals

671 Physica D
496 Journal of Differential Equations
489 Journal of Nonlinear Science
291 Chaos
270 Journal of Mathematical Analysis and Applications
261 Nonlinearity
251 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
238 SIAM Journal on Applied Dynamical Systems
224 Journal of Mathematical Physics
224 Communications in Nonlinear Science and Numerical Simulation
205 Discrete and Continuous Dynamical Systems. Series B
189 Archive for Rational Mechanics and Analysis
187 Journal of Computational Physics
184 Journal of Fluid Mechanics
160 Mathematical Methods in the Applied Sciences
157 Nonlinear Analysis. Real World Applications
151 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
146 SIAM Journal on Mathematical Analysis
146 Discrete and Continuous Dynamical Systems
145 Chaos, Solitons and Fractals
141 ZAMP. Zeitschrift für angewandte Mathematik und Physik
134 Nonlinear Dynamics
123 Physics Letters. A
121 Communications in Mathematical Physics
120 Journal of Dynamics and Differential Equations
117 Applied Mathematics Letters
116 Applied Mathematics and Computation
110 Journal of Mathematical Biology
103 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
102 Studies in Applied Mathematics
100 Journal of Statistical Physics
93 Computer Methods in Applied Mechanics and Engineering
90 Regular and Chaotic Dynamics
89 SIAM Journal on Applied Mathematics
85 Calculus of Variations and Partial Differential Equations
81 Applicable Analysis
77 Journal of Physics A: Mathematical and Theoretical
72 Journal of Mathematical Fluid Mechanics
71 Journal of Elasticity
70 Journal of Geometry and Physics
64 Physica A
63 Mathematics and Computers in Simulation
60 Qualitative Theory of Dynamical Systems
60 Journal of Nonlinear Mathematical Physics
59 Journal of Computational and Applied Mathematics
59 Journal de Mathématiques Pures et Appliquées. Neuvième Série
59 Discrete and Continuous Dynamical Systems. Series S
58 Communications on Pure and Applied Analysis
56 Bulletin of Mathematical Biology
54 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
53 Dynamical Systems
52 Journal of Theoretical Biology
51 Communications on Pure and Applied Mathematics
51 Celestial Mechanics and Dynamical Astronomy
49 European Journal of Applied Mathematics
48 Computers & Mathematics with Applications
48 Wave Motion
48 SIAM Journal on Scientific Computing
47 International Journal for Numerical Methods in Engineering
47 Physics of Fluids
47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
46 Journal of Functional Analysis
45 Journal of the Mechanics and Physics of Solids
45 Applied Numerical Mathematics
45 Journal of Scientific Computing
45 Multiscale Modeling & Simulation
45 Mathematical Biosciences and Engineering
42 Theoretical and Mathematical Physics
41 Communications in Partial Differential Equations
40 Journal of Geometric Mechanics
40 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
39 Proceedings of the American Mathematical Society
39 Applied Mathematical Modelling
37 Transactions of the American Mathematical Society
37 Acta Applicandae Mathematicae
37 Journal of Evolution Equations
37 Advances in Difference Equations
36 Automatica
36 NoDEA. Nonlinear Differential Equations and Applications
36 Comptes Rendus. Mathématique. Académie des Sciences, Paris
34 Quarterly of Applied Mathematics
33 Mathematics and Mechanics of Solids
33 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
31 Monatshefte für Mathematik
31 European Journal of Mechanics. B. Fluids
31 Boundary Value Problems
31 International Journal of Biomathematics
30 SIAM Journal on Numerical Analysis
30 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
29 Advances in Mathematics
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26 Mathematical Biosciences
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