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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: http://link.springer.com/journal/volumesAndIssues/332
Comments: Indexed cover-to-cover
Documents Indexed: 1,100 Publications (since 1991)
References Indexed: 907 Publications with 34,025 References.
all top 5

Latest Issues

32, No. 4 (2022)
32, No. 3 (2022)
32, No. 2 (2022)
32, No. 1 (2022)
31, No. 6 (2021)
31, No. 5 (2021)
31, No. 4 (2021)
31, No. 3 (2021)
31, No. 2 (2021)
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21, No. 6 (2011)
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21, No. 4 (2011)
21, No. 3 (2011)
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21, No. 1 (2011)
20, No. 6 (2010)
20, No. 5 (2010)
20, No. 4 (2010)
20, No. 3 (2010)
20, No. 2 (2010)
20, No. 1 (2010)
19, No. 6 (2009)
19, No. 5 (2009)
19, No. 4 (2009)
19, No. 3 (2009)
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18, No. 6 (2008)
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17, No. 6 (2007)
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16, No. 6 (2006)
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16, No. 4 (2006)
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16, No. 2 (2006)
16, No. 1 (2006)
...and 80 more Volumes
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Authors

15 Holm, Darryl D.
11 Majda, Andrew J.
11 Titi, Edriss Saleh
9 Ashwin, Peter
8 Chossat, Pascal
8 Domokos, Gábor
8 Holmes, Philip J.
8 Kohn, Robert Vita
8 Wei, Juncheng
7 Doelman, Arjen
7 Gay-Balmaz, François
7 Mezić, Igor
7 Pelinovsky, Dmitry Efimovich
7 Schneider, Guido
7 Wu, Jiahong
6 Chae, Dongho
6 Golubitsky, Martin A.
6 Jiang, Daqing
6 Kanso, Eva Adnan
6 Koltai, Péter
6 Sandstede, Björn
6 Scheel, Arnd
6 Stewart, Ian Nicholas
5 Bona, Jerry Lloyd
5 Celletti, Alessandra
5 Degond, Pierre
5 Fokas, Athanassios S.
5 James, Richard D.
5 Kaper, Tasso J.
5 Klein, Christian
5 LeBlanc, Victor G.
5 Liu, Jianguo
5 Llibre, Jaume
5 Marsden, Jerrold Eldon
5 Martín de Diego, David
5 McLaughlin, David W.
5 Medvedev, Georgi S.
5 Mielke, Alexander
5 Pego, Robert L.
5 Putkaradze, Vakhtang
5 Ratiu, Tudor Stefan
5 Schütte, Christof
5 M-Seara, Tere
5 Wiggins, Stephen
5 Yavari, Arash
5 Zenkov, Dmitry V.
4 Al-saedi, Ahmed Eid Salem
4 Birnir, Bjorn
4 Bloch, Anthony Michael
4 Boyer, Frédéric
4 Constantin, Peter
4 Crowdy, Darren Gregory
4 de la Llave, Rafael
4 Dias, Ana Paula S.
4 Ercolani, Nicholas M.
4 Grabovsky, Yury
4 Ha, Seung-Yeal
4 Holcman, David
4 Kevrekidis, Ioannis George
4 Kevrekidis, Panayotis G.
4 Klus, Stefan
4 Knobloch, Edgar
4 Krupa, Martin
4 Kühn, Christian
4 Lenells, Jonatan
4 Leok, Melvin
4 Liu, Meng
4 MacKay, Robert Sinclair
4 Murray, James Dickson
4 Niethammer, Barbara
4 Otto, Felix
4 Pérez-Chavela, Ernesto
4 Qi, Di
4 Rademacher, Jens Diederich Michael
4 Rowley, Clarence W.
4 Saut, Jean-Claude
4 Valls Anglés, Cláudia
4 Ward, Michael J.
4 Zhao, Xiao-Qiang
3 Abarbanel, Henry D. I.
3 Abramov, Rafail V.
3 Aguiar, Manuela A. D.
3 Aronson, Donald G.
3 Bick, Christian
3 Cantero-Álvarez, Rubén
3 Champneys, Alan R.
3 Chang, Dong Eui
3 Choksi, Rustum
3 Constantin, Adrian
3 de la Hoz, Francisco
3 Diacu, Florin Nicolae
3 Diamond, Phil
3 Field, Michael J.
3 Forest, Mark Gregory
3 Fried, Eliot
3 Gal, Ciprian Gheorghe Sorin
3 García-Naranjo, Luis C.
3 Geng, Xianguo
3 Goriely, Alain
3 Haller, George
...and 1,684 more Authors
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Fields

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

Publications by Year

Citations contained in zbMATH Open

916 Publications have been cited 10,708 times in 8,765 Documents Cited by Year
Stability of the Camassa-Holm solitons. Zbl 1022.35053
Constantin, A.; Strauss, W. A.
194
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.
192
2002
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020
Ball, J. M.
177
1997
A data-driven approximation of the koopman operator: extending dynamic mode decomposition. Zbl 1329.65310
Williams, Matthew O.; Kevrekidis, Ioannis G.; Rowley, Clarence W.
153
2015
Time integration and discrete Hamiltonian systems. Zbl 0866.58030
Gonzalez, O.
149
1996
Formation and dynamics of shock waves in the Degasperis-Procesi equation. Zbl 1185.35194
Lundmark, H.
130
2007
How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040
Winkler, Michael
120
2014
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
93
2011
Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. Zbl 1259.35009
Chen, Kevin K.; Tu, Jonathan H.; Rowley, Clarence W.
83
2012
The dynamics of \(n\) weakly coupled identical oscillators. Zbl 0872.58049
Ashwin, P.; Swift, J. W.
79
1992
The membrane shell model in nonlinear elasticity: A variational asymptotic derivation. Zbl 0844.73045
Le Dret, Hervé; Raoult, Annie
77
1996
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035
Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
71
1997
Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. Zbl 1084.74501
Friesecke, G.; Theil, F.
70
2002
Robust heteroclinic cycles. Zbl 0879.58054
Krupa, M.
69
1997
On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083
Constantin, A.
69
2000
On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064
Li, W.-T.; Ruan, S.; Wang, Z.-C.
69
2007
Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012
Collins, J. J.; Stewart, I. N.
68
1993
Bounds and new approaches for the 3D MHD equations. Zbl 1029.76062
Wu, Jiahong
66
2002
Poisson geometry of the filament equation. Zbl 0795.35115
Langer, Joel; Perline, Ron
65
1991
Numerical integration of ordinary differential equations on manifolds. Zbl 0798.34012
Crouch, P. E.; Grossman, R.
64
1993
The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051
Mirollo, R.; Strogatz, S. H.
61
2007
Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032
Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B.
59
2005
Singular perturbation and the energy of folds. Zbl 0973.49009
Jin, W.; Kohn, R. V.
59
2000
The transition from bursting to continuous spiking in excitable membrane models. Zbl 0900.92059
Terman, D.
58
1992
Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model. Zbl 1030.35011
Ward, M. J.; Wei, J.
56
2003
On the validity of the Ginzburg-Landau equation. Zbl 0795.35112
van Harten, A.
55
1991
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
54
2014
Permanence of stochastic Lotka-Volterra systems. Zbl 1387.60106
Liu, Meng; Fan, Meng
53
2017
Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015
Hou, Thomas Y.; Li, Ruo
53
2006
Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. Zbl 1104.37031
Zou, Y.; Kupper, T.; Beyn, W.-J.
49
2006
Dynamics of a two-prey one-predator system in random environments. Zbl 1279.92088
Liu, Meng; Wang, Ke
48
2013
Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345
Wei, J.; Winter, M.
47
2001
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.
47
2009
The \(n\)-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
46
2012
Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups. Zbl 0799.58069
Lewis, Debra; Simo, J. C.
45
1994
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
44
2019
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024
Liang, D.; Wu, J.
44
2003
On the integrability and perturbation of three-dimensional fluid flows with symmetry. Zbl 0796.76021
Mezić, I.; Wiggins, S.
43
1994
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
43
2013
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
42
2004
Spatial dynamics of a nonlocal dispersal population model in a shifting environment. Zbl 1394.35240
Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang
41
2018
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan
41
2018
Optimal strokes for low Reynolds number swimmers: an example. Zbl 1146.76062
Alouges, François; DeSimone, Antonio; Lefebvre, Aline
41
2008
Centre manifold reduction for quasilinear discrete systems. Zbl 1185.37158
James, G.
40
2003
Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152
Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S.
39
2009
On the dynamics of fine structure. Zbl 0791.35030
Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.
39
1991
Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120
Guo, Shangjiang; Ma, Li
38
2016
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.
38
2013
Scaling laws in microphase separation of diblock copolymers. Zbl 1023.82015
Choksi, R.
37
2001
On the persistence of lower dimensional invariant tori under quasi-periodic perturbations. Zbl 0898.58044
Jorba, À.; Villanueva, J.
36
1997
Analysis of the computational singular perturbation reduction method for chemical kinetics. Zbl 1053.92051
Zagaris, A.; Kaper, H. G.; Kaper, T. J.
36
2004
Some curious phenomena in coupled cell networks. Zbl 1136.37359
Golubitsky, M.; Nicol, M.; Stewart, I.
36
2004
Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain. Zbl 1178.35039
Kolokolnikov, T.; Ward, M. J.; Wei, J.
36
2009
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
36
2009
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
35
2018
Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033
Slemrod, M.; Sternberg, N.
35
2001
Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071
Chen, Shanshan; Shi, Junping; Wei, Junjie
35
2013
A mathematical model of intermittent androgen suppression for prostate cancer. Zbl 1172.92021
Ideta, Aiko Miyamura; Tanaka, Gouhei; Takeuchi, Takumi; Aihara, Kazuyuki
35
2008
New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364
Abramov, Rafail V.; Majda, Andrew J.
35
2008
A geometric theory of growth mechanics. Zbl 1428.74157
Yavari, Arash
35
2010
Optimal harvesting of a stochastic logistic model with time delay. Zbl 1329.60186
Liu, Meng; Bai, Chuanzhi
35
2015
Wave breaking of the Camassa-Holm equation. Zbl 1247.35104
Jiang, Zaihong; Ni, Lidiao; Zhou, Yong
34
2012
A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071
Horstmann, D.; Stevens, A.
34
2004
The \(n\)-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
33
2012
Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. Zbl 1123.35327
Li, Bo; Liu, Jian-Guo
33
2004
Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems. Zbl 1242.35147
Wang, Haiyan
33
2011
Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. Zbl 1254.37053
Aguiar, M.; Ashwin, P.; Dias, A.; Field, M.
33
2011
On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. Zbl 1348.35171
Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio
33
2016
A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116
Lou, Yijun; Zhao, Xiao-Qiang
32
2017
On convergence of extended dynamic mode decomposition to the Koopman operator. Zbl 1457.37103
Korda, Milan; Mezić, Igor
32
2018
Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241
Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur
32
2010
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
32
2016
A predator-prey model with a Holling type I functional response including a predator mutual interference. Zbl 1238.92049
Seo, Gunog; DeAngelis, Donald L.
31
2011
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
31
2012
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.
31
2000
Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow. Zbl 0993.37034
Malhotra, N.; Wiggins, S.
30
1998
Integrators for nonholonomic mechanical systems. Zbl 1104.37043
McLachlan, R.; Perlmutter, M.
30
2006
Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011
Goodman, R. H.; Weinstein, M. I.; Holmes, P. J.
30
2001
Families of periodic solutions of resonant PDEs. Zbl 0994.37040
Bambusi, Dario; Paleari, Simone
30
2001
Variation of Lyapunov exponents on a strange attractor. Zbl 0797.58053
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
30
1991
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
29
1992
Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361
Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping
29
2002
Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems. Zbl 1051.37031
Delshams, A.; Gutiérrez, P.
29
2000
Local Lyapunov exponents computed from observed data. Zbl 0802.58041
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
29
1992
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
29
2007
Theory and computation of covariant Lyapunov vectors. Zbl 1301.37065
Kuptsov, Pavel V.; Parlitz, Ulrich
28
2012
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
28
2007
Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029
Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S.
27
2000
Transport in 3D volume-preserving flows. Zbl 0805.58037
MacKay, R. S.
27
1994
Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145
Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C.
27
2000
Nonconstant positive steady states and pattern formation of 1D prey-taxis systems. Zbl 1368.92160
Wang, Qi; Song, Yang; Shao, Lingjie
27
2017
Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum. Zbl 1311.35236
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan
26
2015
Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336
Constantin, A.; Kolev, B.
26
2006
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
26
2000
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.
26
1991
Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations. Zbl 0884.58042
David, D.; Holm, D. D.
25
1992
On soccer balls and linearized inverse statistical mechanics. Zbl 1302.82032
von Brecht, James H.; Uminsky, David
25
2012
The stress driven instability in elastic crystals: Mathematical models and physical manifestations. Zbl 0843.73040
Grinfeld, M. A.
25
1993
Relative equilibria in the four-vortex problem with two pairs of equal vorticities. Zbl 1302.76042
Hampton, Marshall; Roberts, Gareth E.; Santoprete, Manuele
25
2014
Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
25
2014
Dynamic mode decomposition for continuous time systems with the Liouville operator. Zbl 07451426
Rosenfeld, Joel A.; Kamalapurkar, Rushikesh; Gruss, L. Forest; Johnson, Taylor T.
2
2022
A family of non-monotonic toral mixing maps. Zbl 07502889
Hill, J. Myers; Sturman, R.; Wilson, M. C. T.
1
2022
The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian. Zbl 1471.35302
Li, Changpin; Li, Zhiqiang
5
2021
Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. Zbl 1476.35252
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya
5
2021
On the geometry of discrete contact mechanics. Zbl 1464.37082
Anahory Simoes, Alexandre; Martín de Diego, David; Lainz Valcázar, Manuel; de León, Manuel
5
2021
Spontaneous periodic orbits in the Navier-Stokes flow. Zbl 1475.35247
van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert
5
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Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. Zbl 1472.35089
Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong
4
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Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction. Zbl 1476.35035
Ambrose, David M.; Mazzucato, Anna L.
4
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Modulational instability of periodic standing waves in the derivative NLS equation. Zbl 1477.35235
Chen, Jinbing; Pelinovsky, Dmitry E.; Upsal, Jeremy
3
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Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation. Zbl 1469.34019
Li, Changpin; Li, Zhiqiang
3
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Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory. Zbl 1476.37086
Bridges, Thomas J.; Ratliff, Daniel J.
3
2021
Scaling limits for the generalized Langevin equation. Zbl 1473.35057
Pavliotis, G. A.; Stoltz, G.; Vaes, U.
3
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Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models. Zbl 1466.92145
Hening, Alexandru
3
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Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation. Zbl 07400525
Carlson, Elizabeth; Larios, Adam
2
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Diffusivity estimation for activator-inhibitor models: theory and application to intracellular dynamics of the actin cytoskeleton. Zbl 1469.60207
Pasemann, Gregor; Flemming, Sven; Alonso, Sergio; Beta, Carsten; Stannat, Wilhelm
2
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Vortex patches choreography for active scalar equations. Zbl 1476.35187
García, Claudia
2
2021
Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source. Zbl 1471.35004
Zhou, Jun; Zhang, Huan
2
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Instability of static solutions of the sine-Gordon equation on a \(\mathcal{Y}\)-junction graph with \(\delta\)-interaction. Zbl 1462.35326
Angulo Pava, Jaime; Plaza, Ramón G.
2
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Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation. Zbl 1462.35478
Scarpa, Luca
2
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Stochastic wave-current interaction in thermal shallow water dynamics. Zbl 1468.76014
Holm, Darryl D.; Luesink, Erwin
2
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Phytoplankton competition for nutrients and light in a stratified lake: a mathematical model connecting epilimnion and hypolimnion. Zbl 1470.92268
Zhang, Jimin; Kong, Jude D.; Shi, Junping; Wang, Hao
2
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Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes. Zbl 1467.37080
Korda, Milan; Henrion, Didier; Mezić, Igor
2
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Nonlinear network dynamics with consensus-dissensus bifurcation. Zbl 1467.37046
Devriendt, Karel; Lambiotte, Renaud
2
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Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities. Zbl 1462.35332
El Hajj, A.; Oussaily, A.
2
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Minimizing configurations for elastic surface energies with elastic boundaries. Zbl 1464.49029
Palmer, Bennett; Pámpano, Álvaro
2
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Numerical study of Zakharov-Kuznetsov equations in two dimensions. Zbl 1464.35298
Klein, Christian; Roudenko, Svetlana; Stoilov, Nikola
2
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Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds. Zbl 1466.37068
Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof
2
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The microscopic derivation and well-posedness of the stochastic Keller-Segel equation. Zbl 1464.35363
Huang, Hui; Qiu, Jinniao
2
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Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation. Zbl 1479.35684
Lushnikov, Pavel M.; Silantyev, Denis A.; Siegel, Michael
1
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Cavity volume and free energy in many-body systems. Zbl 1479.82062
Taylor, Jamie M.; Fai, Thomas G.; Virga, Epifanio G.; Zheng, Xiaoyu; Palffy-Muhoray, Peter
1
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Time-periodic planar fronts around an obstacle. Zbl 1476.35119
Li, Linlin
1
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On the Boussinesq equations with non-monotone temperature profiles. Zbl 1476.35270
Zillinger, Christian
1
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An intrinsic aggregation model on the special orthogonal group \(SO(3)\): well-posedness and collective behaviours. Zbl 1471.35289
Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol
1
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Localised radial patterns on the free surface of a ferrofluid. Zbl 1476.35199
Hill, Dan J.; Lloyd, David J. B.; Turner, Matthew R.
1
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Self-similarity in the Kepler-Heisenberg problem. Zbl 1481.70066
Dods, Victor; Shanbrom, Corey
1
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The height invariant of a four-parameter semitoric system with two focus-focus singularities. Zbl 1469.37043
Alonso, Jaume; Hohloch, Sonja
1
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On the stability of periodic waves for the cubic derivative NLS and the quintic NLS. Zbl 1462.35353
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
1
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Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and Ocean dynamics. Zbl 1462.35406
Korn, Peter
1
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Multi-spike patterns in the Gierer-Meinhardt system with a nonzero activator boundary flux. Zbl 1462.35032
Gomez, Daniel; Wei, Juncheng
1
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Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics. Zbl 1468.76075
Zhang, Yeyu; Smith, Leslie M.; Stechmann, Samuel N.
1
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Synchronization conditions of a mixed Kuramoto ensemble in attractive and repulsive couplings. Zbl 1467.82052
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun
1
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Fractional damping through restricted calculus of variations. Zbl 1477.70031
Jiménez, Fernando; Ober-Blöbaum, Sina
1
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A uniqueness result for a simple superlinear eigenvalue problem. Zbl 1467.45001
Herrmann, Michael; Matthies, Karsten
1
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Global bifurcation of anti-plane shear fronts. Zbl 1462.35052
Chen, Robin Ming; Walsh, Samuel; Wheeler, Miles H.
1
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Two-parameter generalizations of Cauchy bi-orthogonal polynomials and integrable lattices. Zbl 1466.37054
Chang, Xiang-Ke; Li, Shi-Hao; Tsujimoto, Satoshi; Yu, Guo-Fu
1
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Periodic solutions of stochastic differential equations driven by Lévy noises. Zbl 1470.60154
Guo, Xiao-Xia; Sun, Wei
1
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Traveling wave solutions for a class of discrete diffusive SIR epidemic model. Zbl 1462.35130
Zhang, Ran; Wang, Jinliang; Liu, Shengqiang
1
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Effect of discrete breathers on the specific heat of a nonlinear chain. Zbl 1467.37070
Singh, Mohit; Morkina, Alina Y.; Korznikova, Elena A.; Dubinko, Volodymyr I.; Terentiev, Dmitry A.; Xiong, Daxing; Naimark, Oleg B.; Gani, Vakhid A.; Dmitriev, Sergey V.
1
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Stochastic SIR Lévy jump model with heavy-tailed increments. Zbl 1470.92338
Privault, Nicolas; Wang, Liang
1
2021
Transformation cloaking in elastic plates. Zbl 1464.74097
Golgoon, Ashkan; Yavari, Arash
1
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Optimal decay estimates for 2D Boussinesq equations with partial dissipation. Zbl 1462.35407
Lai, Suhua; Wu, Jiahong; Xu, Xiaojing; Zhang, Jianwen; Zhong, Yueyuan
1
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A multiscale problem for viscous heat-conducting fluids in fast rotation. Zbl 1462.35404
Del Santo, Daniele; Fanelli, Francesco; Sbaiz, Gabriele; Wróblewska-Kamińska, Aneta
1
2021
2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction. Zbl 1466.76010
Flandoli, Franco; Pappalettera, Umberto
1
2021
Global regularity of the 2D HVBK equations. Zbl 1466.76008
Jayanti, Pranava Chaitanya; Trivisa, Konstantina
1
2021
Dynamics of shadow system of a singular Gierer-Meinhardt system on an evolving domain. Zbl 1462.35033
Kavallaris, Nikos I.; Barreira, Raquel; Madzvamuse, Anotida
1
2021
Global regularity for the 2D MHD and tropical climate model with horizontal dissipation. Zbl 07432990
Paicu, Marius; Zhu, Ning
1
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A vector general nonlinear Schrödinger equation with \((m+n)\) components. Zbl 1437.35627
Geng, Xianguo; Li, Ruomeng; Xue, Bo
24
2020
Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces. Zbl 1437.37104
Klus, Stefan; Schuster, Ingmar; Muandet, Krikamol
14
2020
Rogue waves in the generalized derivative nonlinear Schrödinger equations. Zbl 1467.37063
Yang, Bo; Chen, Junchao; Yang, Jianke
9
2020
On a predator-prey system with digestion delay and anti-predation strategy. Zbl 1445.34121
Wang, Yang; Zou, Xingfu
8
2020
A geometric heat-flow theory of Lagrangian coherent structures. Zbl 1444.76099
Karrasch, Daniel; Keller, Johannes
8
2020
Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry. Zbl 1467.37085
Mezić, Igor
8
2020
Exotic localized vector waves in a two-component nonlinear wave system. Zbl 1440.37068
Xu, Ling; Wang, Deng-Shan; Wen, Xiao-Yong; Jiang, Yao-Lin
7
2020
The regularized visible fold revisited. Zbl 1469.34029
Kristiansen, K. Uldall
7
2020
Koopman operator spectrum for random dynamical systems. Zbl 1467.37084
Črnjarić-Žic, Nelida; Maćešić, Senka; Mezić, Igor
7
2020
Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics. Zbl 1448.70059
Bethencourt de Léon, Aythami; Holm, Darryl D.; Luesink, Erwin; Takao, So
6
2020
The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions. Zbl 1462.35372
Zhang, Guoqiang; Yan, Zhenya
6
2020
Variational approach for learning Markov processes from time series data. Zbl 1437.37107
Wu, Hao; Noé, Frank
5
2020
Singularity formation in fractional Burgers’ equations. Zbl 1443.35165
Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico
4
2020
Spatially localized structures in lattice dynamical systems. Zbl 1440.37072
Bramburger, Jason J.; Sandstede, Björn
4
2020
Phase separation in the advective Cahn-Hilliard equation. Zbl 1464.76195
Feng, Yu; Feng, Yuanyuan; Iyer, Gautam; Thiffeault, Jean-Luc
4
2020
Dynamics of nonconstant steady states of the Sel’kov model with saturation effect. Zbl 1443.35076
Du, Zengji; Zhang, Xiaoni; Zhu, Huaiping
3
2020
Global smooth solutions for 1D barotropic Navier-Stokes equations with a large class of degenerate viscosities. Zbl 1442.35339
Kang, Moon-Jin; Vasseur, Alexis F.
3
2020
Perihelion librations in the secular three-body problem. Zbl 1453.70006
Pinzari, Gabriella
3
2020
Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow. Zbl 1442.35469
Evje, Steinar; Winkler, Michael
3
2020
On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152
Chen, Yong; Huang, Lili; Liu, Yue
3
2020
On the well-posedness of stochastic Boussinesq equations with transport noise. Zbl 1431.35120
Alonso-Orán, Diego; Bethencourt de León, Aythami
3
2020
Camassa-Holm cuspons, solitons and their interactions via the dressing method. Zbl 1436.37088
Ivanov, Rossen; Lyons, Tony; Orr, Nigel
3
2020
Hopf bifurcation for a susceptible-infective model with infection-age structure. Zbl 1431.34050
Zhang, Xiangming; Liu, Zhihua
3
2020
Stationary distribution and extinction of a stochastic HIV-1 infection model with distributed delay and logistic growth. Zbl 1435.34084
Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed
3
2020
The Magnus expansion for stochastic differential equations. Zbl 07177285
Wang, Zhenyu; Ma, Qiang; Yao, Zhen; Ding, Xiaohua
3
2020
A West Nile virus model with vertical transmission and periodic time delays. Zbl 1431.34078
Li, Fuxiang; Liu, Junli; Zhao, Xiao-Qiang
3
2020
The exchange-driven growth model: basic properties and longtime behavior. Zbl 1442.34034
Schlichting, André
3
2020
On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity. Zbl 1439.35314
Riva, Filippo
3
2020
Spatiotemporal dynamics of a diffusive predator-prey system with allee effect and threshold hunting. Zbl 1442.35482
Wu, Daiyong; Zhao, Hongyong
3
2020
A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3. Zbl 1462.60069
Lawley, Sean D.; Madrid, Jacob B.
3
2020
On fast-slow consensus networks with a dynamic weight. Zbl 07341369
Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian
3
2020
On robust computation of Koopman operator and prediction in random dynamical systems. Zbl 1467.37087
Sinha, Subhrajit; Huang, Bowen; Vaidya, Umesh
3
2020
Particle filters with nudging in multiscale chaotic systems: with application to the Lorenz ’96 atmospheric model. Zbl 1448.60093
Yeong, Hoong C.; Beeson, Ryne T.; Namachchivaya, N. Sri; Perkowski, Nicolas
2
2020
Almost complete and equable heteroclinic networks. Zbl 1431.34058
Ashwin, Peter; Castro, Sofia B. S. D.; Lohse, Alexander
2
2020
Prediction with expert advice: a PDE perspective. Zbl 1439.35484
Drenska, Nadejda; Kohn, Robert V.
2
2020
Global dynamics of a novel delayed logistic equation arising from cell biology. Zbl 1448.92170
Baker, Ruth E.; Röst, Gergely
2
2020
Response solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequency. Zbl 1437.35017
Wang, Fenfen; Cheng, Hongyu; Si, Jianguo
2
2020
Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems. Zbl 1443.37047
Guzzo, Massimiliano; Efthymiopoulos, Christos; Paez, Rocío I.
2
2020
Asymptotic and stability dynamics of an HIV-1-cytotoxic T lymphocytes (CTL) chemotaxis model. Zbl 1439.35049
Willie, Robert; Zheng, Pan; Parumasur, Nabendra; Mu, Chunlai
2
2020
On the striated regularity for the 2D anisotropic Boussinesq system. Zbl 1437.35544
Paicu, Marius; Zhu, Ning
2
2020
Homogenization of chiral magnetic materials: a mathematical evidence of Dzyaloshinskii’s predictions on helical structures. Zbl 1439.35037
Davoli, E.; Di Fratta, G.
2
2020
Spike-adding canard explosion in a class of square-wave bursters. Zbl 1468.34062
Carter, Paul
2
2020
Phase transitions and macroscopic limits in a BGK model of body-attitude coordination. Zbl 1475.35348
Degond, P.; Diez, A.; Frouvelle, A.; Merino-Aceituno, S.
2
2020
Inflection, canards and folded singularities in excitable systems: application to a 3D FitzHugh-Nagumo model. Zbl 1470.34149
Albizuri, J. Uria; Desroches, M.; Krupa, M.; Rodrigues, S.
2
2020
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57 Wei, Juncheng
46 Geng, Xianguo
46 Ward, Michael J.
45 Yin, Zhaoyang
44 Ha, Seung-Yeal
42 Mu, Chunlai
38 Ashwin, Peter
38 Majda, Andrew J.
38 Titi, Edriss Saleh
37 Liu, Yue
36 Schneider, Guido
30 Guo, Boling
29 Holm, Darryl D.
29 Kühn, Christian
29 Pelinovsky, Dmitry Efimovich
29 Wang, Bixiang
28 Carrillo de la Plata, José Antonio
28 Degond, Pierre
28 Qiao, Zhijun
27 Marsden, Jerrold Eldon
27 Mezić, Igor
27 Mielke, Alexander
26 Scheel, Arnd
26 Stewart, Ian Nicholas
25 Guo, Shangjiang
25 Qu, Changzheng
25 Tian, Lixin
25 Zhou, Shouming
24 Klein, Christian
24 Liu, Meng
24 Saut, Jean-Claude
23 Betsch, Peter
23 de la Llave, Rafael
23 Li, Wan-Tong
23 Martín de Diego, David
23 Mitsotakis, Dimitrios E.
23 Shi, Junping
22 Kolokolnikov, Theodore
22 Kutz, J. Nathan
22 Llibre, Jaume
22 Mireles-James, Jason D.
22 Stefanelli, Ulisse
21 Gal, Ciprian Gheorghe Sorin
21 Grasselli, Maurizio
21 Kevrekidis, Panayotis G.
21 Wiggins, Stephen
21 Winkler, Michael
21 Wu, Jiahong
20 Brunton, Steven L.
19 Borisov, Alekseĭ Vladimirovich
19 Conti, Sergio
19 García-Naranjo, Luis C.
19 Kevrekidis, Ioannis George
19 Wu, Shiliang
19 Yavari, Arash
19 Zhang, Wei
18 Aihara, Kazuyuki
18 Cung The Anh
18 Diacu, Florin Nicolae
18 Goriely, Alain
18 Hou, Thomas Yizhao
18 Liu, Jianguo
18 Mamaev, Ivan Sergeevich
18 Mariano, Paolo Maria
18 Pérez-Chavela, Ernesto
18 Wechselberger, Martin
18 Zhao, Xiao-Qiang
18 Zheng, Pan
17 Bloch, Anthony Michael
17 Ciarlet, Philippe Gaston
17 Doelman, Arjen
17 Gay-Balmaz, François
17 Jolly, Michael S.
17 Kalisch, Henrik
17 Lenells, Jonatan
17 Ren, Xiaofeng
17 Shen, Wenxian
17 Truskinovsky, Lev
17 Wang, Shu
16 Aguiar, Manuela A. D.
16 Bona, Jerry Lloyd
16 Kanso, Eva Adnan
16 Mardare, Cristinel
16 Schmidt, Bernd
16 M-Seara, Tere
16 Stépán, Gábor
16 Vidal, Claudio
16 Winter, Matthias
15 Celletti, Alessandra
15 Delshams, Amadeu
15 DeSimone, Antonio
15 Dias, Ana Paula S.
15 Li, Yong
15 Xue, Bo
14 Colombo, Leonardo Jesus
14 Duan, Jinqiao
14 Fan, Engui
14 Haller, George
14 Himonas, A. Alexandrou
14 Ignat, Radu
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479 Physica D
389 Journal of Differential Equations
353 Journal of Nonlinear Science
239 Chaos
208 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
206 Journal of Mathematical Analysis and Applications
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174 SIAM Journal on Applied Dynamical Systems
163 Archive for Rational Mechanics and Analysis
162 Nonlinearity
153 Journal of Fluid Mechanics
131 Journal of Computational Physics
130 Discrete and Continuous Dynamical Systems. Series B
125 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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120 Discrete and Continuous Dynamical Systems
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103 Communications in Mathematical Physics
98 Applied Mathematics and Computation
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97 Chaos, Solitons and Fractals
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87 Journal of Statistical Physics
87 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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48 Mathematical Methods in the Applied Sciences
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47 Journal of Nonlinear Mathematical Physics
46 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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45 Bulletin of Mathematical Biology
44 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
43 Celestial Mechanics and Dynamical Astronomy
41 Studies in Applied Mathematics
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40 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
37 Mathematics and Computers in Simulation
36 Communications in Partial Differential Equations
36 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
36 Communications on Pure and Applied Analysis
36 Discrete and Continuous Dynamical Systems. Series S
35 Transactions of the American Mathematical Society
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33 European Journal of Applied Mathematics
32 Journal of Functional Analysis
32 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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30 Advances in Difference Equations
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26 Applied Mathematical Modelling
25 Automatica
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23 Mathematical Biosciences and Engineering
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22 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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