# zbMATH — the first resource for mathematics

## 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: 1,038 Publications (since 1991) References Indexed: 845 Publications with 31,679 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 Wu, Jiahong 6 Chae, Dongho 6 Golubitsky, Martin A. 6 Kanso, Eva Adnan 6 Koltai, Péter 6 Sandstede, Björn 6 Scheel, Arnd 6 Schneider, Guido 6 Stewart, Ian Nicholas 5 Bona, Jerry Lloyd 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 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 Birnir, Bjorn 4 Bloch, Anthony M. 4 Boyer, Frédéric 4 Constantin, Peter 4 Crowdy, Darren Gregory 4 Dias, Ana Paula S. 4 Ercolani, Nicholas M. 4 Grabovsky, Yury 4 Ha, Seung-Yeal 4 Kevrekidis, Ioannis George 4 Kevrekidis, Panayotis G. 4 Klus, Stefan 4 Knobloch, Edgar 4 Krupa, Martin 4 Lenells, Jonatan 4 Llibre, Jaume 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 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 Celletti, Alessandra 3 Champneys, Alan R. 3 Chang, Dong Eui 3 Choksi, Rustum 3 Constantin, Adrian 3 de la Llave, Rafael 3 Diacu, Florin Nicolae 3 Diamond, Phil 3 Field, Michael J. 3 Forest, M. Gregory 3 Fried, Eliot 3 Gal, Ciprian Gheorghe Sorin 3 Geng, Xianguo 3 Goriely, Alain 3 Haller, George 3 Hek, Geertje 3 Herrmann, Michael 3 Holcman, David 3 Jiang, Daqing 3 Jiménez, Fernando 3 Kühn, Christian 3 Lawley, Sean D. 3 Leok, Melvin 3 Leonard, Naomi Ehrich ...and 1,574 more Authors
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#### Fields

 430 Partial differential equations (35-XX) 412 Dynamical systems and ergodic theory (37-XX) 213 Ordinary differential equations (34-XX) 212 Fluid mechanics (76-XX) 166 Mechanics of particles and systems (70-XX) 157 Biology and other natural sciences (92-XX) 118 Mechanics of deformable solids (74-XX) 86 Numerical analysis (65-XX) 86 Statistical mechanics, structure of matter (82-XX) 75 Probability theory and stochastic processes (60-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 57 Systems theory; control (93-XX) 34 Differential geometry (53-XX) 30 Global analysis, analysis on manifolds (58-XX) 25 Geophysics (86-XX) 23 Optics, electromagnetic theory (78-XX) 21 Operator theory (47-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Computer science (68-XX) 12 Operations research, mathematical programming (90-XX) 10 Integral equations (45-XX) 9 Measure and integration (28-XX) 9 Statistics (62-XX) 8 Difference and functional equations (39-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Information and communication theory, circuits (94-XX) 7 Combinatorics (05-XX) 7 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 5 Real functions (26-XX) 5 General topology (54-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-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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838 Publications have been cited 9,520 times in 7,846 Documents Cited by Year
Stability of the Camassa-Holm solitons. Zbl 1022.35053
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2002
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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2002
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020
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1997
Time integration and discrete Hamiltonian systems. Zbl 0866.58030
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1996
Formation and dynamics of shock waves in the Degasperis-Procesi equation. Zbl 1185.35194
Lundmark, H.
2007
A data-driven approximation of the koopman operator: extending dynamic mode decomposition. Zbl 1329.65310
Williams, Matthew O.; Kevrekidis, Ioannis G.; Rowley, Clarence W.
2015
How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040
Winkler, Michael
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
The dynamics of $$n$$ weakly coupled identical oscillators. Zbl 0872.58049
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1992
The membrane shell model in nonlinear elasticity: A variational asymptotic derivation. Zbl 0844.73045
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1996
Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. Zbl 1259.35009
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2012
Robust heteroclinic cycles. Zbl 0879.58054
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1997
On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064
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2007
Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. Zbl 1084.74501
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2002
Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012
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1993
Poisson geometry of the filament equation. Zbl 0795.35115
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1991
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035
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1997
On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083
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2000
Bounds and new approaches for the 3D MHD equations. Zbl 1029.76062
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2002
Numerical integration of ordinary differential equations on manifolds. Zbl 0798.34012
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1993
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
The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051
Mirollo, R.; Strogatz, S. H.
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
Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015
Hou, Thomas Y.; Li, Ruo
2006
Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345
Wei, J.; Winter, M.
2001
Dynamics of a two-prey one-predator system in random environments. Zbl 1279.92088
Liu, Meng; Wang, Ke
2013
Permanence of stochastic Lotka-Volterra systems. Zbl 1387.60106
Liu, Meng; Fan, Meng
2017
Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups. Zbl 0799.58069
Lewis, Debra; Simo, J. C.
1994
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
2014
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
Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. Zbl 1104.37031
Zou, Y.; Kupper, T.; Beyn, W.-J.
2006
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
The $$n$$-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
2012
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
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2013
Centre manifold reduction for quasilinear discrete systems. Zbl 1185.37158
James, G.
2003
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
Optimal strokes for low Reynolds number swimmers: an example. Zbl 1146.76062
Alouges, François; DeSimone, Antonio; Lefebvre, Aline
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.
2009
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
Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152
Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S.
2009
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
2009
Wave breaking of the Camassa-Holm equation. Zbl 1247.35104
Jiang, Zaihong; Ni, Lidiao; Zhou, Yong
2012
Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033
Slemrod, M.; Sternberg, N.
2001
A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071
Horstmann, D.; Stevens, A.
2004
Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120
Guo, Shangjiang; Ma, Li
2016
A geometric theory of growth mechanics. Zbl 1428.74157
Yavari, Arash
2010
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
A mathematical model of intermittent androgen suppression for prostate cancer. Zbl 1172.92021
Ideta, Aiko Miyamura; Tanaka, Gouhei; Takeuchi, Takumi; Aihara, Kazuyuki
2008
The $$n$$-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
2012
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
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
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
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
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
Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. Zbl 1254.37053
Aguiar, M.; Ashwin, P.; Dias, A.; Field, M.
2011
Optimal harvesting of a stochastic logistic model with time delay. Zbl 1329.60186
Liu, Meng; Bai, Chuanzhi
2015
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan
2018
Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems. Zbl 1242.35147
Wang, Haiyan
2011
Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071
Chen, Shanshan; Shi, Junping; Wei, Junjie
2013
Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361
Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping
2002
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
Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011
Goodman, R. H.; Weinstein, M. I.; Holmes, P. J.
2001
Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. Zbl 1123.35327
Li, Bo; Liu, Jian-Guo
2004
Local Lyapunov exponents computed from observed data. Zbl 0802.58041
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
1992
Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems. Zbl 1051.37031
Delshams, A.; Gutiérrez, P.
2000
On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. Zbl 1348.35171
Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio
2016
Integrators for nonholonomic mechanical systems. Zbl 1104.37043
McLachlan, R.; Perlmutter, M.
2006
Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241
Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur
2010
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
2012
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
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
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
2007
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
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
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
The stress driven instability in elastic crystals: Mathematical models and physical manifestations. Zbl 0843.73040
Grinfeld, M. A.
1993
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
2007
Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015
Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian
2014
On soccer balls and linearized inverse statistical mechanics. Zbl 1302.82032
von Brecht, James H.; Uminsky, David
2012
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
2000
Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis. Zbl 0797.35145
Ercolani, N. M.; McLaughlin, D. W.; Roitner, H.
1993
Gyroscopic control and stabilization. Zbl 0800.93563
1992
Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations. Zbl 0884.58042
David, D.; Holm, D. D.
1992
Multipulse orbits in the motion of flexible spinning discs. Zbl 1132.74303
Malhotra, N.; Sri Namachchivaya, N.; McDonald, R. J.
2002
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
A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116
Lou, Yijun; Zhao, Xiao-Qiang
2017
Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336
Constantin, A.; Kolev, B.
2006
Relative equilibria in the four-vortex problem with two pairs of equal vorticities. Zbl 1302.76042
Hampton, Marshall; Roberts, Gareth E.; Santoprete, Manuele
2014
Theory and computation of covariant Lyapunov vectors. Zbl 1301.37065
Kuptsov, Pavel V.; Parlitz, Ulrich
2012
Delay embeddings for forced systems. I: Deterministic forcing. Zbl 0985.37098
Stark, J.
1999
Spontaneous periodic orbits in the Navier-Stokes flow. Zbl 07341271
van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert
2021
The height invariant of a four-parameter semitoric system with two focus-focus singularities. Zbl 07341246
Alonso, Jaume; Hohloch, Sonja
2021
Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics. Zbl 07341268
Zhang, Yeyu; Smith, Leslie M.; Stechmann, Samuel N.
2021
Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation. Zbl 1462.35478
Scarpa, Luca
2021
Phytoplankton competition for nutrients and light in a stratified lake: a mathematical model connecting epilimnion and hypolimnion. Zbl 07341286
Zhang, Jimin; Kong, Jude D.; Shi, Junping; Wang, Hao
2021
Scaling limits for the generalized Langevin equation. Zbl 07341289
Pavliotis, G. A.; Stoltz, G.; Vaes, U.
2021
Transformation cloaking in elastic plates. Zbl 1464.74097
Golgoon, Ashkan; Yavari, Arash
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
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
Minimizing configurations for elastic surface energies with elastic boundaries. Zbl 1464.49029
Palmer, Bennett; Pámpano, Álvaro
2021
Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models. Zbl 1466.92145
Hening, Alexandru
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
A geometric heat-flow theory of Lagrangian coherent structures. Zbl 1444.76099
Karrasch, Daniel; Keller, Johannes
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
Singularity formation in fractional Burgers’ equations. Zbl 1443.35165
Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico
2020
Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry. Zbl 1467.37085
Mezić, Igor
2020
On a predator-prey system with digestion delay and anti-predation strategy. Zbl 1445.34121
Wang, Yang; Zou, Xingfu
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
Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow. Zbl 1442.35469
Evje, Steinar; Winkler, Michael
2020
The exchange-driven growth model: basic properties and longtime behavior. Zbl 1442.34034
Schlichting, André
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
Perihelion librations in the secular three-body problem. Zbl 1453.70006
Pinzari, Gabriella
2020
On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152
Chen, Yong; Huang, Lili; Liu, Yue
2020
Prediction with expert advice: a PDE perspective. Zbl 1439.35484
2020
A West Nile virus model with vertical transmission and periodic time delays. Zbl 1431.34078
Li, Fuxiang; Liu, Junli; Zhao, Xiao-Qiang
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
Spatially localized structures in lattice dynamical systems. Zbl 1440.37072
Bramburger, Jason J.; Sandstede, Björn
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
The regularized visible fold revisited. Zbl 07341363
Kristiansen, K. Uldall
2020
Rogue waves in the generalized derivative nonlinear Schrödinger equations. Zbl 1467.37063
Yang, Bo; Chen, Junchao; Yang, Jianke
2020
Tikhonov-Fenichel reduction for parameterized critical manifolds with applications to chemical reaction networks. Zbl 1444.92144
Feliu, Elisenda; Kruff, Niclas; Walcher, Sebastian
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
Dynamics of nonconstant steady states of the Sel’kov model with saturation effect. Zbl 1443.35076
Du, Zengji; Zhang, Xiaoni; Zhu, Huaiping
2020
Almost complete and equable heteroclinic networks. Zbl 1431.34058
Ashwin, Peter; Castro, Sofia B. S. D.; Lohse, Alexander
2020
Variational approach for learning Markov processes from time series data. Zbl 1437.37107
Wu, Hao; Noé, Frank
2020
Geometric kinematic control of a spherical rolling robot. Zbl 07177275
Ohsawa, Tomoki
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
Integrability and chaos in figure skating. Zbl 07200117
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
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
Dynamical analysis and control strategies of rumor spreading models in both homogeneous and heterogeneous networks. Zbl 1467.34088
Zhu, Linhe; Zhou, Mengtian; Zhang, Zhengdi
2020
Spike-adding canard explosion in a class of square-wave bursters. Zbl 07341367
Carter, Paul
2020
Phase transitions and macroscopic limits in a BGK model of body-attitude coordination. Zbl 07341368
Degond, P.; Diez, A.; Frouvelle, A.; Merino-Aceituno, S.
2020
Hill four-body problem with oblate bodies: an application to the Sun-Jupiter-Hektor-Skamandrios system. Zbl 07341374
Burgos-García, Jaime; Celletti, Alessandra; Gales, Catalin; Gidea, Marian; Lam, Wai-Ting
2020
On the geometric diversity of wavefronts for the scalar Kolmogorov ecological equation. Zbl 07341376
Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei
2020
Locality of interatomic interactions in self-consistent tight binding models. Zbl 1462.74017
Thomas, Jack
2020
A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds. Zbl 07341391
Froyland, Gary; Kwok, Eric
2020
Koopman operator spectrum for random dynamical systems. Zbl 1467.37084
Črnjarić-Žic, Nelida; Maćešić, Senka; Mezić, Igor
2020
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
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
2019
On global solutions and blow-up for a short-ranged chemical signaling loop. Zbl 1417.35066
Lin, Ke; Xiang, Tian
2019
Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238
Gui, Guilong; Liu, Yue; Luo, Ting
2019
Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Zbl 1428.35485
Bilman, Deniz; Buckingham, Robert
2019
A reaction-diffusion model of vector-borne disease with periodic delays. Zbl 1411.35170
Wu, Ruiwen; Zhao, Xiao-Qiang
2019
Population dynamics in river networks. Zbl 1427.35122
Jin, Yu; Peng, Rui; Shi, Junping
2019
Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226
Chen, Jinbing; Pelinovsky, Dmitry E.
2019
Symplectic geometry and spectral properties of classical and quantum coupled angular momenta. Zbl 1417.53085
Le Floch, Yohann; Pelayo, Álvaro
2019
Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit. Zbl 1448.76050
Drivas, Theodore D.; Nguyen, Huy Q.
2019
Diffusive search for diffusing targets with fluctuating diffusivity and gating. Zbl 1429.92068
Lawley, Sean D.; Miles, Christopher E.
2019
On the extension of Onsager’s conjecture for general conservation laws. Zbl 1420.35202
Bardos, Claude; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Titi, Edriss S.; Wiedemann, Emil
2019
Global regularity for a 2D tropical climate model with fractional dissipation. Zbl 1415.86028
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan
2019
$$\mathit\Gamma$$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter. Zbl 1425.74108
De Luca, L.; Novaga, M.; Ponsiglione, M.
2019
Hydrodynamic models and confinement effects by horizontal boundaries. Zbl 1423.76078
Camassa, R.; Falqui, G.; Ortenzi, G.; Pedroni, M.; Thomson, C.
2019
Averaging principle for multiscale stochastic Klein-Gordon-heat system. Zbl 1436.60063
Gao, Peng
2019
Convex integration arising in the modelling of shape-memory alloys: some remarks on rigidity, flexibility and some numerical implementations. Zbl 1426.35061
Rüland, Angkana; Taylor, Jamie M.; Zillinger, Christian
2019
Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156
Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
2019
Stochastic parametrization of the Richardson triple. Zbl 1411.76036
Holm, Darryl D.
2019
Resolution of the piecewise smooth visible-invisible two-fold singularity in $$\mathbb {R}^3$$ using regularization and blowup. Zbl 1415.37071
Kristiansen, K. Uldall; Hogan, S. J.
2019
Integrability and dynamics of the $$n$$-dimensional symmetric Veselova top. Zbl 1418.37107
Fassò, Francesco; García-Naranjo, Luis C.; Montaldi, James
2019
Distributed coordination for nonsmooth convex optimization via saddle-point dynamics. Zbl 1423.90177
Cortés, Jorge; Niederländer, Simon K.
2019
Nonlinear mechanics of accretion. Zbl 1425.74089
Sozio, Fabio; Yavari, Arash
2019
Analysis of a moving mask hypothesis for martensitic transformations. Zbl 1425.74049
Della Porta, Francesco
2019
Spatiotemporal pattern extraction by spectral analysis of vector-valued observables. Zbl 1428.37084
Giannakis, Dimitrios; Ourmazd, Abbas; Slawinska, Joanna; Zhao, Zhizhen
2019
Stochastic closures for wave-current interaction dynamics. Zbl 1427.76040
Holm, Darryl D.
2019
Onsager’s conjecture on the energy conservation for solutions of Euler equations in bounded domains. Zbl 1415.35225
Nguyen, Quoc-Hung; Nguyen, Phuoc-Tai
2019
Bifurcations in a diffusive predator-prey model with Beddington-DeAngelis functional response and nonselective harvesting. Zbl 1415.37111
Sun, Xiuli; Yuan, Rong; Wang, Luan
2019
Asymptotic formulas for extreme statistics of escape times in 1, 2 and 3-dimensions. Zbl 1415.60054
Basnayake, K.; Schuss, Z.; Holcman, D.
2019
Energy-preserving integrators applied to nonholonomic systems. Zbl 1436.37094
Celledoni, Elena; Puiggalí, Marta Farré; Høiseth, Eirik Hoel; de Diego, David Martín
2019
On stability of the Thomson’s vortex $$N$$-gon in the geostrophic model of the point vortices in two-layer fluid. Zbl 1423.76076
Kurakin, Leonid G.; Lysenko, Irina A.; Ostrovskaya, Irina V.; Sokolovskiy, Mikhail A.
2019
Markov selections for the magnetohydrodynamics and the Hall-magnetohydrodynamics systems. Zbl 1428.35404
Yamazaki, Kazuo
2019
New $$\varepsilon$$-regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale. Zbl 1427.35177
He, Cheng; Wang, Yanqing; Zhou, Daoguo
2019
Two-parameter boundary equilibrium bifurcations in 3D-Filippov systems. Zbl 1439.34023
Cristiano, Rony; Pagano, Daniel J.
2019
A geometric approach to phase response curves and its numerical computation through the parameterization method. Zbl 1431.37067
Pérez-Cervera, Alberto; M-Seara, Tere; Huguet, Gemma
2019
The Cauchy two-matrix model, C-Toda lattice and CKP hierarchy. Zbl 1411.37055
Li, Chunxia; Li, Shi-Hao
2019
Turbulent cascade direction and Lagrangian time-asymmetry. Zbl 1420.35207
Drivas, Theodore D.
2019
Fatigue effects in elastic materials with variational damage models: a vanishing viscosity approach. Zbl 1417.74005
Alessi, Roberto; Crismale, Vito; Orlando, Gianluca
2019
Flocking dynamics of the inertial spin model with a multiplicative communication weight. Zbl 07114587
Ha, Seung-Yeal; Kim, Doheon; Kim, Dohyun; Shim, Woojoo
2019
Two limit cycles in Liénard piecewise linear differential systems. Zbl 07114592
Llibre, Jaume; Ponce, Enrique; Valls, Clàudia
2019
Exact solution of a Neumann boundary value problem for the stationary axisymmetric Einstein equations. Zbl 1429.83012
Lenells, Jonatan; Pei, Long
2019
The effects of structural perturbations on the synchronizability of diffusive networks. Zbl 1423.90036
Poignard, Camille; Pade, Jan Philipp; Pereira, Tiago
2019
Long-time asymptotics for homoenergetic solutions of the Boltzmann equation: collision-dominated case. Zbl 1453.35133
James, Richard D.; Nota, Alessia; Velázquez, Juan J. L.
2019
On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system. Zbl 1428.35396
2019
Transient metastability and selective decay for the coherent zonal structures in plasma drift wave turbulence. Zbl 1428.35395
Qi, Di; Majda, Andrew J.
2019
Near-integrability and recurrence in FPU chains with alternating masses. Zbl 1444.70009
Bruggeman, Roelof; Verhulst, Ferdinand
2019
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#### Cited by 8,740 Authors

 55 Wei, Juncheng 43 Ward, Michael J. 43 Yin, Zhaoyang 41 Ha, Seung-Yeal 41 Mu, Chunlai 37 Geng, Xianguo 37 Majda, Andrew J. 37 Titi, Edriss Saleh 35 Ashwin, Peter 33 Schneider, Guido 32 Liu, Yue 30 Guo, Boling 29 Wang, Bixiang 28 Carrillo de la Plata, José Antonio 28 Degond, Pierre 28 Holm, Darryl D. 27 Marsden, Jerrold Eldon 26 Kühn, Christian 26 Mezić, Igor 26 Mielke, Alexander 26 Pelinovsky, Dmitry Efimovich 26 Stewart, Ian Nicholas 25 Qiao, Zhijun 25 Scheel, Arnd 24 Liu, Meng 24 Qu, Changzheng 24 Tian, Lixin 24 Zhou, Shouming 23 Betsch, Peter 22 Guo, Shangjiang 22 Kolokolnikov, Theodore 22 Li, Wan-Tong 22 Llibre, Jaume 22 Saut, Jean-Claude 22 Shi, Junping 22 Stefanelli, Ulisse 21 Gal, Ciprian Gheorghe Sorin 21 Klein, Christian 20 de la Llave, Rafael 20 Grasselli, Maurizio 20 Martín de Diego, David 20 Mireles-James, Jason D. 19 Borisov, Alekseĭ Vladimirovich 19 Mitsotakis, Dimitrios E. 19 Wiggins, Stephen 19 Winkler, Michael 19 Zhang, Wei 18 Aihara, Kazuyuki 18 Diacu, Florin Nicolae 18 Goriely, Alain 18 Kevrekidis, Ioannis George 18 Kevrekidis, Panayotis G. 18 Kutz, J. Nathan 18 Liu, Jianguo 18 Mamaev, Ivan Sergeevich 18 Yavari, Arash 17 Bloch, Anthony M. 17 Brunton, Steven L. 17 Ciarlet, Philippe Gaston 17 Conti, Sergio 17 Doelman, Arjen 17 García-Naranjo, Luis C. 17 Hou, Thomas Yizhao 17 Lenells, Jonatan 17 Truskinovsky, Lev 17 Wang, Shu 17 Wu, Shiliang 17 Zhao, Xiao-Qiang 17 Zheng, Pan 16 Bona, Jerry Lloyd 16 Cung The Anh 16 Jolly, Michael S. 16 Kanso, Eva Adnan 16 Mardare, Cristinel 16 Mariano, Paolo Maria 16 Ren, Xiaofeng 16 Stépán, Gábor 16 Winter, Matthias 16 Wu, Jiahong 15 Delshams, Amadeu 15 Kalisch, Henrik 15 Pérez-Chavela, Ernesto 15 Schmidt, Bernd 15 M-Seara, Tere 15 Vidal, Claudio 15 Wechselberger, Martin 14 Aguiar, Manuela A. D. 14 Colombo, Leonardo Jesus 14 DeSimone, Antonio 14 Gay-Balmaz, François 14 Haller, George 14 Ignat, Radu 14 Li, Yong 14 Liu, Zhengrong 14 Ruan, Shigui 14 Sapsis, Themistoklis P. 14 Shen, Wenxian 14 Song, Yongli 14 Yao, Minghui 13 Cicalese, Marco ...and 8,640 more Authors
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#### Cited in 504 Journals

 407 Physica D 358 Journal of Differential Equations 324 Journal of Nonlinear Science 239 Chaos 196 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 194 Journal of Mathematical Analysis and Applications 168 Journal of Mathematical Physics 155 Archive for Rational Mechanics and Analysis 148 SIAM Journal on Applied Dynamical Systems 143 Nonlinearity 140 Journal of Fluid Mechanics 119 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 119 Discrete and Continuous Dynamical Systems. Series B 115 Discrete and Continuous Dynamical Systems 110 Journal of Computational Physics 110 Nonlinear Dynamics 103 Nonlinear Analysis. Real World Applications 99 Communications in Mathematical Physics 96 Communications in Nonlinear Science and Numerical Simulation 87 SIAM Journal on Mathematical Analysis 83 Journal of Statistical Physics 81 Chaos, Solitons and Fractals 80 ZAMP. Zeitschrift für angewandte Mathematik und Physik 80 Applied Mathematics and Computation 79 Journal of Dynamics and Differential Equations 77 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 70 Regular and Chaotic Dynamics 69 Journal of Mathematical Biology 61 Computer Methods in Applied Mechanics and Engineering 61 Applied Mathematics Letters 59 SIAM Journal on Applied Mathematics 57 Journal of Elasticity 55 Calculus of Variations and Partial Differential Equations 54 Applicable Analysis 51 Journal of Geometry and Physics 48 Mathematical Methods in the Applied Sciences 48 Dynamical Systems 47 Journal of Computational and Applied Mathematics 47 Physics of Fluids 47 Journal of Nonlinear Mathematical Physics 43 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 42 Journal de Mathématiques Pures et Appliquées. Neuvième Série 41 Studies in Applied Mathematics 40 Bulletin of Mathematical Biology 40 Celestial Mechanics and Dynamical Astronomy 39 Journal of Theoretical Biology 38 Journal of the Mechanics and Physics of Solids 37 Journal of Mathematical Fluid Mechanics 34 Transactions of the American Mathematical Society 33 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 31 Computers & Mathematics with Applications 31 Mathematics and Computers in Simulation 31 Applied Numerical Mathematics 31 Comptes Rendus. Mathématique. Académie des Sciences, Paris 31 Communications on Pure and Applied Analysis 30 Journal of Scientific Computing 30 Communications in Partial Differential Equations 29 Discrete and Continuous Dynamical Systems. Series S 28 Physics Letters. A 28 Journal of Geometric Mechanics 27 International Journal for Numerical Methods in Engineering 27 Journal of Functional Analysis 27 European Journal of Applied Mathematics 27 Mathematical Problems in Engineering 27 Mathematics and Mechanics of Solids 27 Abstract and Applied Analysis 26 SIAM Journal on Scientific Computing 26 Advances in Difference Equations 25 Qualitative Theory of Dynamical Systems 25 Multiscale Modeling & Simulation 24 Theoretical and Mathematical Physics 24 Wave Motion 24 European Journal of Mechanics. B. Fluids 23 Acta Applicandae Mathematicae 22 Communications on Pure and Applied Mathematics 22 Continuum Mechanics and Thermodynamics 21 Proceedings of the American Mathematical Society 21 Quarterly of Applied Mathematics 21 Applied Mathematical Modelling 21 NoDEA. Nonlinear Differential Equations and Applications 20 Journal of Computational Dynamics 20 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 19 Numerische Mathematik 19 Systems & Control Letters 19 Chinese Annals of Mathematics. Series B 19 Mathematical Biosciences and Engineering 18 Acta Mechanica 18 Mathematical Biosciences 18 Mathematics of Computation 18 Advances in Mathematics 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 Journal of Physics A: Mathematical and Theoretical 17 Automatica 17 SIAM Journal on Numerical Analysis 17 SIAM Review 17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 17 Networks and Heterogeneous Media 17 Science China. Mathematics 16 Computers and Fluids 16 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences ...and 404 more Journals
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#### Cited in 60 Fields

 3,614 Partial differential equations (35-XX) 2,243 Dynamical systems and ergodic theory (37-XX) 1,492 Fluid mechanics (76-XX) 1,284 Biology and other natural sciences (92-XX) 1,233 Ordinary differential equations (34-XX) 809 Mechanics of deformable solids (74-XX) 807 Numerical analysis (65-XX) 794 Mechanics of particles and systems (70-XX) 472 Statistical mechanics, structure of matter (82-XX) 375 Calculus of variations and optimal control; optimization (49-XX) 374 Probability theory and stochastic processes (60-XX) 314 Systems theory; control (93-XX) 243 Differential geometry (53-XX) 139 Global analysis, analysis on manifolds (58-XX) 126 Quantum theory (81-XX) 115 Geophysics (86-XX) 114 Operator theory (47-XX) 110 Computer science (68-XX) 106 Optics, electromagnetic theory (78-XX) 91 Difference and functional equations (39-XX) 89 Statistics (62-XX) 74 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 64 Integral equations (45-XX) 59 Information and communication theory, circuits (94-XX) 57 Classical thermodynamics, heat transfer (80-XX) 55 Operations research, mathematical programming (90-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 45 Combinatorics (05-XX) 44 Algebraic geometry (14-XX) 41 Functional analysis (46-XX) 35 Real functions (26-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 30 Topological groups, Lie groups (22-XX) 30 Approximations and expansions (41-XX) 29 Measure and integration (28-XX) 29 Functions of a complex variable (30-XX) 29 Special functions (33-XX) 21 Convex and discrete geometry (52-XX) 21 Relativity and gravitational theory (83-XX) 19 Geometry (51-XX) 17 Nonassociative rings and algebras (17-XX) 14 Manifolds and cell complexes (57-XX) 13 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 10 Commutative algebra (13-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Number theory (11-XX) 8 General topology (54-XX) 8 Astronomy and astrophysics (85-XX) 7 Integral transforms, operational calculus (44-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)