## 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.
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### Latest Issues

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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)

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916 Publications have been cited 10,708 times in 8,765 Documents Cited by Year
Stability of the Camassa-Holm solitons. Zbl 1022.35053
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Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044
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Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020
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A data-driven approximation of the koopman operator: extending dynamic mode decomposition. Zbl 1329.65310
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Time integration and discrete Hamiltonian systems. Zbl 0866.58030
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Formation and dynamics of shock waves in the Degasperis-Procesi equation. Zbl 1185.35194
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2007
How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040
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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
2011
Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. Zbl 1259.35009
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2012
The dynamics of $$n$$ weakly coupled identical oscillators. Zbl 0872.58049
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The membrane shell model in nonlinear elasticity: A variational asymptotic derivation. Zbl 0844.73045
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1996
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035
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1997
Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. Zbl 1084.74501
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2002
Robust heteroclinic cycles. Zbl 0879.58054
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On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083
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2000
On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064
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2007
Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012
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1993
Bounds and new approaches for the 3D MHD equations. Zbl 1029.76062
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2002
Poisson geometry of the filament equation. Zbl 0795.35115
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1991
Numerical integration of ordinary differential equations on manifolds. Zbl 0798.34012
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The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051
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2007
Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032
Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B.
2005
Singular perturbation and the energy of folds. Zbl 0973.49009
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2000
The transition from bursting to continuous spiking in excitable membrane models. Zbl 0900.92059
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1992
Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model. Zbl 1030.35011
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2003
On the validity of the Ginzburg-Landau equation. Zbl 0795.35112
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1991
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
2014
Permanence of stochastic Lotka-Volterra systems. Zbl 1387.60106
Liu, Meng; Fan, Meng
2017
Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015
Hou, Thomas Y.; Li, Ruo
2006
Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. Zbl 1104.37031
Zou, Y.; Kupper, T.; Beyn, W.-J.
2006
Dynamics of a two-prey one-predator system in random environments. Zbl 1279.92088
Liu, Meng; Wang, Ke
2013
Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345
Wei, J.; Winter, M.
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.
2009
The $$n$$-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
2012
Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups. Zbl 0799.58069
Lewis, Debra; Simo, J. C.
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
2019
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024
Liang, D.; Wu, J.
2003
On the integrability and perturbation of three-dimensional fluid flows with symmetry. Zbl 0796.76021
Mezić, I.; Wiggins, S.
1994
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
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
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
2018
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan
2018
Optimal strokes for low Reynolds number swimmers: an example. Zbl 1146.76062
Alouges, François; DeSimone, Antonio; Lefebvre, Aline
2008
Centre manifold reduction for quasilinear discrete systems. Zbl 1185.37158
James, G.
2003
Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152
Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S.
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.
1991
Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120
Guo, Shangjiang; Ma, Li
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.
2013
Scaling laws in microphase separation of diblock copolymers. Zbl 1023.82015
Choksi, R.
2001
On the persistence of lower dimensional invariant tori under quasi-periodic perturbations. Zbl 0898.58044
Jorba, À.; Villanueva, J.
1997
Analysis of the computational singular perturbation reduction method for chemical kinetics. Zbl 1053.92051
Zagaris, A.; Kaper, H. G.; Kaper, T. J.
2004
Some curious phenomena in coupled cell networks. Zbl 1136.37359
Golubitsky, M.; Nicol, M.; Stewart, I.
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.
2009
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
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
2018
Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033
Slemrod, M.; Sternberg, N.
2001
Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071
Chen, Shanshan; Shi, Junping; Wei, Junjie
2013
A mathematical model of intermittent androgen suppression for prostate cancer. Zbl 1172.92021
Ideta, Aiko Miyamura; Tanaka, Gouhei; Takeuchi, Takumi; Aihara, Kazuyuki
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.
2008
A geometric theory of growth mechanics. Zbl 1428.74157
Yavari, Arash
2010
Optimal harvesting of a stochastic logistic model with time delay. Zbl 1329.60186
Liu, Meng; Bai, Chuanzhi
2015
Wave breaking of the Camassa-Holm equation. Zbl 1247.35104
Jiang, Zaihong; Ni, Lidiao; Zhou, Yong
2012
A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071
Horstmann, D.; Stevens, A.
2004
The $$n$$-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
2012
Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. Zbl 1123.35327
Li, Bo; Liu, Jian-Guo
2004
Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems. Zbl 1242.35147
Wang, Haiyan
2011
Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. Zbl 1254.37053
Aguiar, M.; Ashwin, P.; Dias, A.; Field, M.
2011
On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. Zbl 1348.35171
Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio
2016
A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116
Lou, Yijun; Zhao, Xiao-Qiang
2017
On convergence of extended dynamic mode decomposition to the Koopman operator. Zbl 1457.37103
Korda, Milan; Mezić, Igor
2018
Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241
Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur
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
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.
2011
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
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.
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.
1998
Integrators for nonholonomic mechanical systems. Zbl 1104.37043
McLachlan, R.; Perlmutter, M.
2006
Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011
Goodman, R. H.; Weinstein, M. I.; Holmes, P. J.
2001
Families of periodic solutions of resonant PDEs. Zbl 0994.37040
Bambusi, Dario; Paleari, Simone
2001
Variation of Lyapunov exponents on a strange attractor. Zbl 0797.58053
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
1991
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
1992
Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361
Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping
2002
Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems. Zbl 1051.37031
Delshams, A.; Gutiérrez, P.
2000
Local Lyapunov exponents computed from observed data. Zbl 0802.58041
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
1992
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
2007
Theory and computation of covariant Lyapunov vectors. Zbl 1301.37065
Kuptsov, Pavel V.; Parlitz, Ulrich
2012
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
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.
2000
Transport in 3D volume-preserving flows. Zbl 0805.58037
MacKay, R. S.
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.
2000
Nonconstant positive steady states and pattern formation of 1D prey-taxis systems. Zbl 1368.92160
Wang, Qi; Song, Yang; Shao, Lingjie
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
2015
Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336
Constantin, A.; Kolev, B.
2006
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
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.
1991
Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations. Zbl 0884.58042
David, D.; Holm, D. D.
1992
On soccer balls and linearized inverse statistical mechanics. Zbl 1302.82032
von Brecht, James H.; Uminsky, David
2012
The stress driven instability in elastic crystals: Mathematical models and physical manifestations. Zbl 0843.73040
Grinfeld, M. A.
1993
Relative equilibria in the four-vortex problem with two pairs of equal vorticities. Zbl 1302.76042
Hampton, Marshall; Roberts, Gareth E.; Santoprete, Manuele
2014
Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
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.
2022
A family of non-monotonic toral mixing maps. Zbl 07502889
Hill, J. Myers; Sturman, R.; Wilson, M. C. T.
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
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
2021
On the geometry of discrete contact mechanics. Zbl 1464.37082
Anahory Simoes, Alexandre; Martín de Diego, David; Lainz Valcázar, Manuel; de León, Manuel
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
2021
Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. Zbl 1472.35089
Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong
2021
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.
2021
Modulational instability of periodic standing waves in the derivative NLS equation. Zbl 1477.35235
Chen, Jinbing; Pelinovsky, Dmitry E.; Upsal, Jeremy
2021
Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation. Zbl 1469.34019
Li, Changpin; Li, Zhiqiang
2021
Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory. Zbl 1476.37086
Bridges, Thomas J.; Ratliff, Daniel J.
2021
Scaling limits for the generalized Langevin equation. Zbl 1473.35057
Pavliotis, G. A.; Stoltz, G.; Vaes, U.
2021
Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models. Zbl 1466.92145
Hening, Alexandru
2021
Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation. Zbl 07400525
2021
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
2021
Vortex patches choreography for active scalar equations. Zbl 1476.35187
García, Claudia
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
2021
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.
2021
Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation. Zbl 1462.35478
Scarpa, Luca
2021
Stochastic wave-current interaction in thermal shallow water dynamics. Zbl 1468.76014
Holm, Darryl D.; Luesink, Erwin
2021
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
2021
Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes. Zbl 1467.37080
Korda, Milan; Henrion, Didier; Mezić, Igor
2021
Nonlinear network dynamics with consensus-dissensus bifurcation. Zbl 1467.37046
Devriendt, Karel; Lambiotte, Renaud
2021
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.
2021
Minimizing configurations for elastic surface energies with elastic boundaries. Zbl 1464.49029
Palmer, Bennett; Pámpano, Álvaro
2021
Numerical study of Zakharov-Kuznetsov equations in two dimensions. Zbl 1464.35298
Klein, Christian; Roudenko, Svetlana; Stoilov, Nikola
2021
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
2021
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation. Zbl 1464.35363
Huang, Hui; Qiu, Jinniao
2021
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
2021
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
2021
Time-periodic planar fronts around an obstacle. Zbl 1476.35119
Li, Linlin
2021
On the Boussinesq equations with non-monotone temperature profiles. Zbl 1476.35270
Zillinger, Christian
2021
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
2021
Localised radial patterns on the free surface of a ferrofluid. Zbl 1476.35199
Hill, Dan J.; Lloyd, David J. B.; Turner, Matthew R.
2021
Self-similarity in the Kepler-Heisenberg problem. Zbl 1481.70066
Dods, Victor; Shanbrom, Corey
2021
The height invariant of a four-parameter semitoric system with two focus-focus singularities. Zbl 1469.37043
Alonso, Jaume; Hohloch, Sonja
2021
On the stability of periodic waves for the cubic derivative NLS and the quintic NLS. Zbl 1462.35353
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2021
Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and Ocean dynamics. Zbl 1462.35406
Korn, Peter
2021
Multi-spike patterns in the Gierer-Meinhardt system with a nonzero activator boundary flux. Zbl 1462.35032
Gomez, Daniel; Wei, Juncheng
2021
Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics. Zbl 1468.76075
Zhang, Yeyu; Smith, Leslie M.; Stechmann, Samuel N.
2021
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
2021
Fractional damping through restricted calculus of variations. Zbl 1477.70031
Jiménez, Fernando; Ober-Blöbaum, Sina
2021
A uniqueness result for a simple superlinear eigenvalue problem. Zbl 1467.45001
Herrmann, Michael; Matthies, Karsten
2021
Global bifurcation of anti-plane shear fronts. Zbl 1462.35052
Chen, Robin Ming; Walsh, Samuel; Wheeler, Miles H.
2021
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
2021
Periodic solutions of stochastic differential equations driven by Lévy noises. Zbl 1470.60154
Guo, Xiao-Xia; Sun, Wei
2021
Traveling wave solutions for a class of discrete diffusive SIR epidemic model. Zbl 1462.35130
Zhang, Ran; Wang, Jinliang; Liu, Shengqiang
2021
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.
2021
Stochastic SIR Lévy jump model with heavy-tailed increments. Zbl 1470.92338
Privault, Nicolas; Wang, Liang
2021
Transformation cloaking in elastic plates. Zbl 1464.74097
Golgoon, Ashkan; Yavari, Arash
2021
Optimal decay estimates for 2D Boussinesq equations with partial dissipation. Zbl 1462.35407
Lai, Suhua; Wu, Jiahong; Xu, Xiaojing; Zhang, Jianwen; Zhong, Yueyuan
2021
A multiscale problem for viscous heat-conducting fluids in fast rotation. Zbl 1462.35404
Del Santo, Daniele; Fanelli, Francesco; Sbaiz, Gabriele; Wróblewska-Kamińska, Aneta
2021
2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction. Zbl 1466.76010
Flandoli, Franco; Pappalettera, Umberto
2021
Global regularity of the 2D HVBK equations. Zbl 1466.76008
Jayanti, Pranava Chaitanya; Trivisa, Konstantina
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
2021
Global regularity for the 2D MHD and tropical climate model with horizontal dissipation. Zbl 07432990
Paicu, Marius; Zhu, Ning
2021
A vector general nonlinear Schrödinger equation with $$(m+n)$$ components. Zbl 1437.35627
Geng, Xianguo; Li, Ruomeng; Xue, Bo
2020
Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces. Zbl 1437.37104
Klus, Stefan; Schuster, Ingmar; Muandet, Krikamol
2020
Rogue waves in the generalized derivative nonlinear Schrödinger equations. Zbl 1467.37063
Yang, Bo; Chen, Junchao; Yang, Jianke
2020
On a predator-prey system with digestion delay and anti-predation strategy. Zbl 1445.34121
Wang, Yang; Zou, Xingfu
2020
A geometric heat-flow theory of Lagrangian coherent structures. Zbl 1444.76099
Karrasch, Daniel; Keller, Johannes
2020
Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry. Zbl 1467.37085
Mezić, Igor
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
2020
The regularized visible fold revisited. Zbl 1469.34029
Kristiansen, K. Uldall
2020
Koopman operator spectrum for random dynamical systems. Zbl 1467.37084
Črnjarić-Žic, Nelida; Maćešić, Senka; Mezić, Igor
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
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
2020
Variational approach for learning Markov processes from time series data. Zbl 1437.37107
Wu, Hao; Noé, Frank
2020
Singularity formation in fractional Burgers’ equations. Zbl 1443.35165
Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico
2020
Spatially localized structures in lattice dynamical systems. Zbl 1440.37072
Bramburger, Jason J.; Sandstede, Björn
2020
Phase separation in the advective Cahn-Hilliard equation. Zbl 1464.76195
Feng, Yu; Feng, Yuanyuan; Iyer, Gautam; Thiffeault, Jean-Luc
2020
Dynamics of nonconstant steady states of the Sel’kov model with saturation effect. Zbl 1443.35076
Du, Zengji; Zhang, Xiaoni; Zhu, Huaiping
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.
2020
Perihelion librations in the secular three-body problem. Zbl 1453.70006
Pinzari, Gabriella
2020
Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow. Zbl 1442.35469
Evje, Steinar; Winkler, Michael
2020
On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152
Chen, Yong; Huang, Lili; Liu, Yue
2020
On the well-posedness of stochastic Boussinesq equations with transport noise. Zbl 1431.35120
Alonso-Orán, Diego; Bethencourt de León, Aythami
2020
Camassa-Holm cuspons, solitons and their interactions via the dressing method. Zbl 1436.37088
Ivanov, Rossen; Lyons, Tony; Orr, Nigel
2020
Hopf bifurcation for a susceptible-infective model with infection-age structure. Zbl 1431.34050
Zhang, Xiangming; Liu, Zhihua
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
2020
The Magnus expansion for stochastic differential equations. Zbl 07177285
Wang, Zhenyu; Ma, Qiang; Yao, Zhen; Ding, Xiaohua
2020
A West Nile virus model with vertical transmission and periodic time delays. Zbl 1431.34078
Li, Fuxiang; Liu, Junli; Zhao, Xiao-Qiang
2020
The exchange-driven growth model: basic properties and longtime behavior. Zbl 1442.34034
Schlichting, André
2020
On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity. Zbl 1439.35314
Riva, Filippo
2020
Spatiotemporal dynamics of a diffusive predator-prey system with allee effect and threshold hunting. Zbl 1442.35482
Wu, Daiyong; Zhao, Hongyong
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.
2020
On fast-slow consensus networks with a dynamic weight. Zbl 07341369
Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian
2020
On robust computation of Koopman operator and prediction in random dynamical systems. Zbl 1467.37087
Sinha, Subhrajit; Huang, Bowen; Vaidya, Umesh
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
2020
Almost complete and equable heteroclinic networks. Zbl 1431.34058
Ashwin, Peter; Castro, Sofia B. S. D.; Lohse, Alexander
2020
Prediction with expert advice: a PDE perspective. Zbl 1439.35484
2020
Global dynamics of a novel delayed logistic equation arising from cell biology. Zbl 1448.92170
Baker, Ruth E.; Röst, Gergely
2020
Response solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequency. Zbl 1437.35017
Wang, Fenfen; Cheng, Hongyu; Si, Jianguo
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.
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
2020
On the striated regularity for the 2D anisotropic Boussinesq system. Zbl 1437.35544
Paicu, Marius; Zhu, Ning
2020
Homogenization of chiral magnetic materials: a mathematical evidence of Dzyaloshinskii’s predictions on helical structures. Zbl 1439.35037
Davoli, E.; Di Fratta, G.
2020
Spike-adding canard explosion in a class of square-wave bursters. Zbl 1468.34062
Carter, Paul
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.
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.
2020
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### Cited by 9,773 Authors

 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 ...and 9,673 more Authors
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### Cited in 539 Journals

 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 174 Journal of Mathematical Physics 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 122 Nonlinear Analysis. Real World Applications 120 Discrete and Continuous Dynamical Systems 120 Communications in Nonlinear Science and Numerical Simulation 110 Nonlinear Dynamics 103 Communications in Mathematical Physics 98 Applied Mathematics and Computation 98 SIAM Journal on Mathematical Analysis 97 Chaos, Solitons and Fractals 94 Journal of Dynamics and Differential Equations 87 Journal of Statistical Physics 87 ZAMP. Zeitschrift für angewandte Mathematik und Physik 84 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 79 Applied Mathematics Letters 78 Journal of Mathematical Biology 77 Regular and Chaotic Dynamics 66 Computer Methods in Applied Mechanics and Engineering 63 SIAM Journal on Applied Mathematics 61 Applicable Analysis 61 Calculus of Variations and Partial Differential Equations 59 Journal of Elasticity 55 Journal of Geometry and Physics 49 Journal of Computational and Applied Mathematics 48 Mathematical Methods in the Applied Sciences 48 Dynamical Systems 47 Physics of Fluids 47 Journal of Nonlinear Mathematical Physics 46 Journal de Mathématiques Pures et Appliquées. Neuvième Série 46 Journal of Mathematical Fluid Mechanics 45 Journal of the Mechanics and Physics of Solids 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 41 Journal of Theoretical Biology 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 34 Physics Letters. A 33 Computers & Mathematics with Applications 33 Applied Numerical Mathematics 33 European Journal of Applied Mathematics 32 Journal of Functional Analysis 32 Comptes Rendus. Mathématique. Académie des Sciences, Paris 32 Journal of Geometric Mechanics 31 Journal of Scientific Computing 30 Theoretical and Mathematical Physics 30 Qualitative Theory of Dynamical Systems 30 Advances in Difference Equations 29 Wave Motion 29 SIAM Journal on Scientific Computing 28 Acta Applicandae Mathematicae 28 NoDEA. Nonlinear Differential Equations and Applications 28 Abstract and Applied Analysis 28 European Journal of Mechanics. B. Fluids 28 Multiscale Modeling & Simulation 27 International Journal for Numerical Methods in Engineering 27 Mathematical Problems in Engineering 27 Mathematics and Mechanics of Solids 26 Applied Mathematical Modelling 25 Automatica 24 Quarterly of Applied Mathematics 24 Journal of Evolution Equations 23 Mathematical Biosciences and Engineering 23 Boundary Value Problems 22 Communications on Pure and Applied Mathematics 22 Continuum Mechanics and Thermodynamics 22 Journal of Computational Dynamics 22 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 21 Acta Mechanica 21 Advances in Mathematics 21 Proceedings of the American Mathematical Society 20 Mathematical Biosciences 20 Numerische Mathematik 19 Mathematics of Computation 19 Systems & Control Letters 19 Chinese Annals of Mathematics. Series B 19 SIAM Review 19 Evolution Equations and Control Theory 18 Computers and Fluids 18 SIAM Journal on Numerical Analysis 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis ...and 439 more Journals
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### Cited in 61 Fields

 4,095 Partial differential equations (35-XX) 2,442 Dynamical systems and ergodic theory (37-XX) 1,682 Fluid mechanics (76-XX) 1,479 Biology and other natural sciences (92-XX) 1,378 Ordinary differential equations (34-XX) 917 Numerical analysis (65-XX) 864 Mechanics of particles and systems (70-XX) 856 Mechanics of deformable solids (74-XX) 526 Statistical mechanics, structure of matter (82-XX) 444 Probability theory and stochastic processes (60-XX) 413 Calculus of variations and optimal control; optimization (49-XX) 369 Systems theory; control (93-XX) 258 Differential geometry (53-XX) 156 Quantum theory (81-XX) 149 Computer science (68-XX) 139 Global analysis, analysis on manifolds (58-XX) 138 Geophysics (86-XX) 135 Operator theory (47-XX) 120 Optics, electromagnetic theory (78-XX) 100 Statistics (62-XX) 99 Difference and functional equations (39-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 74 Integral equations (45-XX) 69 Classical thermodynamics, heat transfer (80-XX) 68 Operations research, mathematical programming (90-XX) 65 Information and communication theory, circuits (94-XX) 57 Combinatorics (05-XX) 49 Real functions (26-XX) 48 Algebraic geometry (14-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 48 Functional analysis (46-XX) 37 Measure and integration (28-XX) 36 Approximations and expansions (41-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 33 Functions of a complex variable (30-XX) 31 Topological groups, Lie groups (22-XX) 29 Special functions (33-XX) 24 Convex and discrete geometry (52-XX) 23 Relativity and gravitational theory (83-XX) 19 Geometry (51-XX) 17 General and overarching topics; collections (00-XX) 17 Nonassociative rings and algebras (17-XX) 15 Manifolds and cell complexes (57-XX) 12 History and biography (01-XX) 12 Commutative algebra (13-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Integral transforms, operational calculus (44-XX) 9 General topology (54-XX) 8 Number theory (11-XX) 8 Astronomy and astrophysics (85-XX) 6 Potential theory (31-XX) 5 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Mathematical logic and foundations (03-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX)