# zbMATH — the first resource for mathematics

## Physica D

### Nonlinear Phenomena

 Short Title: Physica D Publisher: Elsevier (North-Holland), Amsterdam ISSN: 0167-2789 Online: http://www.sciencedirect.com/science/journal/01672789
 Documents Indexed: 6,613 Publications (since 1980) References Indexed: 6,411 Publications with 180,497 References.
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#### Latest Issues

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#### Authors

 58 Malomed, Boris A. 39 Kevrekidis, Panayotis G. 37 Knobloch, Edgar 34 Ott, Edward 30 Kaneko, Kunihiko 30 MacKay, Robert Sinclair 30 Newell, Alan C. 27 Yorke, James Alan 26 Holm, Darryl D. 24 Holmes, Philip J. 24 Meiss, James D. 23 Zakharov, Vladimir Evgen’evich 22 Pikovsky, Arkady S. 20 Nepomnyashchy, Alexander A. 20 Wiggins, Stephen 19 Judd, Kevin 19 Kramer, Lorenz 19 Pelinovsky, Dmitry Efimovich 18 Haller, George 18 Kurths, Jürgen 18 Majda, Andrew J. 17 Ashwin, Peter 17 Champneys, Alan R. 17 Grimshaw, Roger Hamilton James 17 Marsden, Jerrold Eldon 17 Nazarenko, Sergeĭ Vital’evich 16 Aubry, Serge J. 16 Bressloff, Paul C. 16 Ghil, Michael 16 Gibbon, John D. 16 Grebogi, Celso 16 Mezić, Igor 16 Riecke, Hermann 16 Swinney, Harry L. 15 Bollt, Erik M. 15 Chaté, Hugues 15 Doering, Charles R. 15 Dullin, Holger R. 15 Haken, Hermann 15 Kevrekidis, Ioannis George 15 Percival, Ian C. 14 Ablowitz, Mark Jay 14 Christiansen, Peter Leth 14 Fibich, Gadi 14 Jones, Christopher K. R. T. 14 Kaup, David J. 14 McLaughlin, David W. 14 Minzoni, Antonmaria Alessio 14 Simó, Carles 14 Smyth, Noel F. 14 Wei, Juncheng 13 Bridges, Thomas J. 13 Eilbeck, John Chris 13 Golubitsky, Martin A. 13 Gunji, Yukio-Pegio 13 Moloney, Jerome V. 13 Temam, Roger Meyer 13 Tyson, John J. 13 Vulpiani, Angelo 12 Brachet, Marc-Etienne 12 Cuevas Maraver, Jesús 12 Ercolani, Nicholas M. 12 Keener, James P. 12 Lichtenberg, Allan J. 12 Sakaguchi, Hidetsugu 12 Sandstede, Björn 12 Tabor, Michael 12 Vivaldi, Franco 12 Zumbrun, Kevin R. 11 Aihara, Kazuyuki 11 Aurich, Ralf 11 Beck, Christian 11 Foiaş, Ciprian Ilie 11 Forest, M. Gregory 11 Miller, Peter D. 11 Moroz, Irene M. 11 Mosekilde, Erik 11 Pomeau, Yves 11 Silber, Mary 11 Sivashinsky, Gregory I. 11 Small, Michael 11 Sulem, Pierre-Louis 11 Thiffeault, Jean-Luc 11 Titi, Edriss Saleh 10 Aranson, Igor S. 10 Bishop, Alan Reginald 10 Bonilla, Luis Lopez 10 Bountis, Tassos C. 10 Camassa, Roberto 10 Constantin, Peter 10 Deconinck, Bernard 10 Doelman, Arjen 10 Eyink, Gregory L. 10 Fokas, Athanassios S. 10 Frantzeskakis, Dimitri J. 10 Golovin, Alexander A. 10 Kapral, Raymond 10 Kawahara, Takuji 10 Kolokolnikov, Theodore 10 Kuznetsov, Evgeniĭ Aleksandrovich ...and 8,252 more Authors
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#### Fields

 2,645 Dynamical systems and ergodic theory (37-XX) 1,975 Partial differential equations (35-XX) 1,594 Fluid mechanics (76-XX) 817 Ordinary differential equations (34-XX) 795 Statistical mechanics, structure of matter (82-XX) 745 Biology and other natural sciences (92-XX) 454 Mechanics of particles and systems (70-XX) 363 Quantum theory (81-XX) 323 Optics, electromagnetic theory (78-XX) 319 Numerical analysis (65-XX) 221 Mechanics of deformable solids (74-XX) 219 Probability theory and stochastic processes (60-XX) 210 Computer science (68-XX) 207 Classical thermodynamics, heat transfer (80-XX) 196 Systems theory; control (93-XX) 161 Geophysics (86-XX) 152 Global analysis, analysis on manifolds (58-XX) 135 Statistics (62-XX) 133 Information and communication theory, circuits (94-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Difference and functional equations (39-XX) 53 Integral equations (45-XX) 52 Operations research, mathematical programming (90-XX) 44 Combinatorics (05-XX) 42 Differential geometry (53-XX) 42 Astronomy and astrophysics (85-XX) 39 Measure and integration (28-XX) 38 General and overarching topics; collections (00-XX) 35 Real functions (26-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Operator theory (47-XX) 25 Relativity and gravitational theory (83-XX) 20 Number theory (11-XX) 20 Functions of a complex variable (30-XX) 17 Algebraic geometry (14-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 General topology (54-XX) 15 Nonassociative rings and algebras (17-XX) 14 Manifolds and cell complexes (57-XX) 13 Special functions (33-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 History and biography (01-XX) 10 Topological groups, Lie groups (22-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Algebraic topology (55-XX) 6 Convex and discrete geometry (52-XX) 5 Approximations and expansions (41-XX) 4 Mathematical logic and foundations (03-XX) 4 Category theory; homological algebra (18-XX) 4 Functional analysis (46-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematics education (97-XX)

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5,454 Publications have been cited 62,776 times in 38,410 Documents Cited by Year
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Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
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A practical method for calculating largest Lyapunov exponents from small data sets. Zbl 0779.58030
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1993
A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Zbl 1092.76069
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2003
Testing for nonlinearity in time series: the method of surrogate data. Zbl 1194.37144
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The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states. Zbl 1237.37059
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The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
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Border-collision bifurcations including “period two to period three” for piecewise smooth systems. Zbl 0760.58031
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1992
Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487
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2005
Chaotic attractors of an infinite-dimensional dynamical system. Zbl 1194.37052
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Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Zbl 0709.76001
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Hidden attractor in smooth Chua systems. Zbl 1277.34052
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Attractors for reaction-diffusion equations in unbounded domains. Zbl 0953.35022
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1999
A simple global characterization for normal forms of singular vector fields. Zbl 0633.58020
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1987
New approach to synchronization analysis of linearly coupled ordinary differential systems. Zbl 1105.34031
Lu, Wenlian; Chen, Tianping
2006
The infinite number of generalized dimensions of fractals and strange attractors. Zbl 0538.58026
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1983
An overview of Rayleigh-Taylor instability. Zbl 0577.76047
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Fractional kinetic equation for Hamiltonian chaos. Zbl 1194.37163
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Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors. Zbl 0592.35013
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1985
The reduction problem and the inverse scattering method. Zbl 1194.37113
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1981
Nonlinear prediction of chaotic time series. Zbl 0671.62099
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1989
Time-reversal symmetry in dynamical systems: a survey. Zbl 1194.34072
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1998
Breathers in nonlinear lattices: existence, linear stability and quantization. Zbl 1194.34059
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1997
Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Zbl 1015.76077
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2001
Propagation of ultra-short optical pulses in cubic nonlinear media. Zbl 1054.81554
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2004
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Zbl 1194.82007
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1980
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
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2005
Delay induced periodicity in a neural netlet of excitation and inhibition. Zbl 0883.68108
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1996
Energy method for Boltzmann equation. Zbl 1098.82618
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2004
On the quadratic mapping $$z\rightarrow z^{2}-\mu$$ for complex $$\mu$$ and $$z$$: the fractal structure of its set, and scaling. Zbl 1194.30028
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1983
Strange attractors that are not chaotic. Zbl 0588.58036
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1984
Constants of motion for superconducting Josephson arrays. Zbl 0812.34043
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1994
Connection graph stability method for synchronized coupled chaotic systems. Zbl 1098.82622
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Fractal basin boundaries. Zbl 0588.58033
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1985
Transport in Hamiltonian systems. Zbl 0585.58039
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1984
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088
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1992
Propagating waves in discrete bistable reaction-diffusion systems. Zbl 0787.92010
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1993
Singular perturbation theory of traveling waves in excitable media (A review). Zbl 0656.76018
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1988
Integrable mappings and soliton equations. II. Zbl 0679.58024
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1989
Bifurcations, stability, and monotonicity properties of a delayed neural network model. Zbl 0887.34069
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1997
Asymptotic behavior of some nonlinear heat equations. Zbl 1194.35459
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1982
Nonlocal models for nonlinear, dispersive waves. Zbl 0699.35227
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1989
Lagrangian coherent structures and mixing in two-dimensional turbulence. Zbl 0970.76043
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2000
Chaotic attractors in incommensurate fractional order systems. Zbl 1157.26310
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Existence of perturbed solitary wave solutions to a model equation for water waves. Zbl 0694.35204
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1988
Absolute and convective instabilities of waves on unbounded and large bounded domains. Zbl 0963.34072
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2000
Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements. Zbl 0709.58520
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1990
Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion. Zbl 0962.35165
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2000
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model. Zbl 0983.35020
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2001
New applications of variational iteration method. Zbl 1084.35539
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2005
Model reduction for compressible flows using POD and Galerkin projection. Zbl 1098.76602
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2004
Amplitude response of coupled oscillators. Zbl 0703.34047
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1990
The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Zbl 0716.76025
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1991
Spatio-temporal chaos in a chemotaxis model. Zbl 1255.37026
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Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer. Zbl 0817.76011
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1994
On asymptotically equivalent shallow water wave equations. Zbl 1050.76008
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2004
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2004
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1988
Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model. Zbl 1238.34102
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2012
Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057
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2000
Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type. Zbl 0571.35100
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1982
Weak and strong solutions of the complex Ginzburg-Landau equation. Zbl 0810.35119
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1994
Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication. Zbl 1059.93118
Li, Chuandong; Liao, Xiaofeng; Wong, Kwok-wo
2004
Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Zbl 1103.34044
Forti, M.; Grazzini, M.; Nistri, P.; Pancioni, L.
2006
Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation. Zbl 0755.35118
Kovačič, Gregor; Wiggins, Stephen
1992
Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175
Kobayashi, Ryo
1993
Hopf bifurcating periodic orbits in a ring of neurons with delays. Zbl 1041.68079
Guo, Shangjiang; Huang, Lihong
2003
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
1999
The Kuramoto-Sivashinsky equation: a bridge between PDE’s and dynamical systems. Zbl 0602.58033
Hyman, James M.; Nicolaenko, Basil
1986
On a completely integrable nonlinear hyperbolic variational equation. Zbl 0900.35387
Hunter, John K.; Zheng, Yuxi
1994
Complex dynamic behavior in a viral model with delayed immune response. Zbl 1117.34081
Wang, Kaifa; Wang, Wendi; Pang, Haiyan; Liu, Xianning
2007
State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103
Chuang, Yao-Li; D’Orsogna, Maria R.; Marthaler, Daniel; Bertozzi, Andrea L.; Chayes, Lincoln S.
2007
Harmless delays in Cohen-Grossberg neural networks. Zbl 1025.92002
Wang, Lin; Zou, Xingfu
2002
Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030
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1990
Practical method for determining the minimum embedding dimension of a scalar time series. Zbl 0925.62385
Cao, Liangyue
1997
Fourth-order symplectic integration. Zbl 0713.65044
Forest, Etienne; Ruth, Ronald D.
1990
Symmetry reductions and exact solutions of a class of nonlinear heat equations. Zbl 0812.35017
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1994
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Zbl 0984.92502
2001
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
1993
Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507
Wendlandt, Jeffrey M.; Marsden, Jerrold E.
1997
Blinking model and synchronization in small-world networks with a time-varying coupling. Zbl 1098.82621
Belykh, Igor V.; Belykh, Vladimir N.; Hasler, Martin
2004
Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. Zbl 1098.76603
Chen, Gui-Qiang; Liu, Hailiang
2004
The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463
Marsden, Jerrold E.; Weinstein, Alan
1982
Thermodynamically-consistent phase-field models for solidification. Zbl 0791.35159
Wang, S.-L.; Sekerka, R. F.; Wheeler, A. A.; Murray, B. T.; Coriell, S. R.; Braun, R. J.; McFadden, G. B.
1993
A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences. Zbl 1087.34028
d’Onofrio, Alberto
2005
Asymptotic analysis of the Navier-Stokes equations. Zbl 0584.35007
Foiaş, Ciprian; Manley, O. P.; Temam, R.; Treve, Y. M.
1983
On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030
Constantin, P.; Foias, C.; Temam, R.
1988
Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Zbl 1097.34053
Cao, Jinde; Li, Xiaolin
2005
On the origin and bifurcations of stick-slip oscillations. Zbl 0963.70016
Dankowicz, Harry; Nordmark, Arne B.
2000
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions. Zbl 1453.37069
Zhang, Guoqiang; Yan, Zhenya
2020
$$P T$$-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. Zbl 1453.37068
Rao, Jiguang; Cheng, Yi; Porsezian, Kuppuswamy; Mihalache, Dumitru; He, Jingsong
2020
Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161
Zhao, Peng; Fan, Engui
2020
Emergence of phase concentration for the Kuramoto-Sakaguchi equation. Zbl 1453.34075
Ha, Seung-Yeal; Kim, Young-Heon; Morales, Javier; Park, Jinyeong
2020
Stationary and non-stationary patterns of the density-suppressed motility model. Zbl 1453.37086
Ma, Manjun; Peng, Rui; Wang, Zhian
2020
Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis. Zbl 1453.76179
Giannakis, Dimitrios; Das, Suddhasattwa
2020
Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation. Zbl 1453.65260
Singh, Mehakpreet; Matsoukas, Themis; Walker, Gavin
2020
Dispersive shocks in quantum hydrodynamics with viscosity. Zbl 1453.76233
Lattanzio, Corrado; Marcati, Pierangelo; Zhelyazov, Delyan
2020
Correlations in area preserving maps: a Shannon entropy approach. Zbl 1453.37007
Cincotta, P. M.; Shevchenko, I. I.
2020
Intricate dynamics of rogue waves governed by the Sasa-Satsuma equation. Zbl 1453.37066
Mu, Gui; Qin, Zhenyun; Grimshaw, Roger; Akhmediev, Nail
2020
Symmetry broken states in an ensemble of globally coupled pendulums. Zbl 1453.34051
Bolotov, Maxim I.; Munyaev, Vyacheslav O.; Smirnov, Lev A.; Hramov, Alexander E.
2020
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones. Zbl 1453.34057
Freire, Emilio; Ordóñez, Manuel; Ponce, Enrique
2020
Autoresonance in weakly dissipative Klein-Gordon chains. Zbl 1453.34053
Kovaleva, Agnessa
2020
Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on $$\mathbb{R}^N$$. Zbl 1453.35008
Zhao, Wenqiang; Zhang, Yijin; Chen, Shangjie
2020
A proof of Euzébio-Pazim-Ponce’s conjectures for a degenerate planar piecewise linear differential system with three zones. Zbl 1453.34056
Chen, Hebai; Tang, Yilei
2020
Nested mixed-mode oscillations. Zbl 1453.34070
Inaba, Naohiko; Kousaka, Takuji
2020
A note on the existence of pure gravity waves at the interface of two fluids. Zbl 1453.76024
Maklakov, D. V.
2020
Inverse problem on conservation laws. Zbl 1453.35192
Popovych, Roman O.; Bihlo, Alexander
2020
A comparison of two- and three-dimensional single-mode reshocked Richtmyer-Meshkov instability growth. Zbl 1453.76133
Latini, Marco; Schilling, Oleg
2020
Travelling waves for reaction-diffusion equations forced by translation invariant noise. Zbl 1453.35202
Hamster, C. H. S.; Hupkes, H. J.
2020
At most two limit cycles in a piecewise linear differential system with three zones and asymmetry. Zbl 1415.34041
Chen, Hebai; Tang, Yilei
2019
Micropolar meets Newtonian. The Rayleigh-Bénard problem. Zbl 1451.76057
Kalita, Piotr; Langa, José A.; Łukaszewicz, Grzegorz
2019
Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology. Zbl 1453.92050
McCue, Scott W.; Jin, Wang; Moroney, Timothy J.; Lo, Kai-Yin; Chou, Shih-En; Simpson, Matthew J.
2019
Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: $$N$$ simple poles and one higher-order pole. Zbl 1453.37063
Zhang, Yongshuai; Rao, Jiguang; Cheng, Yi; He, Jingsong
2019
Asymptotic behavior of a neural field lattice model with a heaviside operator. Zbl 1448.82025
Han, Xiaoying; Kloeden, Peter E.
2019
(INVITED) Reaction-diffusion waves in cardiovascular diseases. Zbl 1453.92142
Panfilov, A. V.; Dierckx, H.; Volpert, V.
2019
On the symmetry properties of a random passive scalar with and without boundaries, and their connection between hot and cold states. Zbl 1453.60116
Camassa, Roberto; Kilic, Zeliha; McLaughlin, Richard M.
2019
Generalized dimensions, large deviations and the distribution of rare events. Zbl 1453.37008
Caby, Théophile; Faranda, Davide; Mantica, Giorgio; Vaienti, Sandro; Yiou, Pascal
2019
Periodic oscillations in age-structured ratio-dependent predator-prey model with Michaelis-Menten type functional response. Zbl 1448.34137
Zhang, Xiangming; Liu, Zhihua
2019
On the dynamical stability and instability of parker problem. Zbl 1451.76053
Jiang, Fei; Jiang, Song
2019
Granero-Belinchón, Rafael; Scrobogna, Stefano
2019
Hamiltonian systems with Lévy noise: symplecticity, Hamilton’s principle and averaging principle. Zbl 1453.60110
Wei, Pingyuan; Chao, Ying; Duan, Jinqiao
2019
Phase distribution control of a population of oscillators. Zbl 1453.92059
Monga, Bharat; Moehlis, Jeff
2019
Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media. Zbl 1453.35118
Nishi, Kei; Nishiura, Yasumasa; Teramoto, Takashi
2019
On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D. Zbl 1453.35131
2019
Three-dimensional map for a piecewise-linear capsule system with bidirectional drifts. Zbl 1453.70010
Guo, Bingyong; Liu, Yang
2019
Competition and complexity in amphiphilic polymer morphology. Zbl 1453.82096
Christlieb, Andrew; Kraitzman, Noa; Promislow, Keith
2019
Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system. Zbl 1453.35027
Bao, Weizhu; Ha, Seung-Yeal; Kim, Dohyun; Tang, Qinglin
2019
On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties. Zbl 1448.37081
Durán, Angel; Dutykh, Denys; Mitsotakis, Dimitrios
2019
The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space. Zbl 1448.34096
Bastiaansen, Robbin; Doelman, Arjen
2019
Ground-state patterns and phase diagram of spin-1 Bose-Einstein condensates in uniform magnetic field. Zbl 1448.82065
Chern, I-Liang; Chou, Chiu-Fen; Shieh, Tien-Tsan
2019
Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain. Zbl 1448.35011
Li, Shenghao; Chen, Min; Zhang, Bingyu
2019
The steady-state lifting bifurcation problem associated with the valency on networks. Zbl 1448.05081
Aguiar, Manuela A. D.; Dias, Ana P. S.; Soares, Pedro
2019
Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation. Zbl 1448.37089
Xu, Tao; Lan, Sha; Li, Min; Li, Ling-Ling; Zhang, Guo-Wei
2019
Nonlinear diffusion models for gravitational wave turbulence. Zbl 1448.83006
Galtier, Sébastien; Nazarenko, Sergey V.; Buchlin, Éric; Thalabard, Simon
2019
Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results. Zbl 1451.76132
Ruan, Lizhi; Trakhinin, Yuri
2019
On the modeling of equatorial shallow-water waves with the Coriolis effect. Zbl 1451.35004
Hu, Tianqiao; Liu, Yue
2019
$$S^1$$ attractor bifurcation analysis for an electrically conducting fluid flow between two rotating cylinders. Zbl 1451.76144
Liu, Ruikuan; Wang, Quan
2019
Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model. Zbl 1451.35074
Liu, Jian-Guo; Lu, Jianfeng; Margetis, Dionisios; Marzuola, Jeremy L.
2019
Existence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditions. Zbl 1451.76106
Melinand, Benjamin; Zumbrun, Kevin
2019
Polynomial mixing under a certain stationary Euler flow. Zbl 1451.76035
Crippa, Gianluca; Lucà, Renato; Schulze, Christian
2019
A projector-based convergence proof of the Ginelli algorithm for covariant Lyapunov vectors. Zbl 1451.37010
Noethen, Florian
2019
Blow-up dynamics in the mass super-critical NLS equations. Zbl 1451.35035
Yang, Kai; Roudenko, Svetlana; Zhao, Yanxiang
2019
Discrete dynamical stabilization of a naturally diverging mass in a harmonically time-varying potential. Zbl 1415.70037
Lazarus, Arnaud
2019
On the representations and $$\mathbb{Z}_2$$-equivariant normal form for solenoidal Hopf-zero singularities. Zbl 1415.37070
Mokhtari, Fahimeh
2019
Navier-Stokes equations on the $$\beta$$-plane: determining modes and nodes. Zbl 1415.76732
Miyajima, N.; Wirosoetisno, D.
2019
Effects of passive hydrodynamics force on harmonic and chaotic oscillations in nonlinear chemical dynamics. Zbl 1415.92219
Olabodé, D. L.; Miwadinou, C. H.; Monwanou, V. A.; Chabi Orou, J. B.
2019
Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion. Zbl 1398.35164
Doering, Charles R.; Wu, Jiahong; Zhao, Kun; Zheng, Xiaoming
2018
Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order $$0 < \alpha < 1$$. Zbl 1398.35157
2018
Pathwise upper semi-continuity of random pullback attractors along the time axis. Zbl 1392.37042
Cui, Hongyong; Kloeden, Peter E.; Wu, Fuke
2018
Longtime robustness of pullback random attractors for stochastic magneto-hydrodynamics equations. Zbl 1415.37073
Wang, Shulin; Li, Yangrong
2018
Initial-boundary value problems associated with the Ablowitz-Ladik system. Zbl 1380.35146
Xia, Baoqiang; Fokas, A. S.
2018
Wave breaking for the stochastic Camassa-Holm equation. Zbl 1398.35305
Crisan, Dan; Holm, Darryl D.
2018
Entire solutions originating from monotone fronts to the Allen-Cahn equation. Zbl 1404.35251
Chen, Yan-Yu; Guo, Jong-Shenq; Ninomiya, Hirokazu; Yao, Chih-Hong
2018
Kink dynamics in a system of two coupled scalar fields in two space-time dimensions. Zbl 1380.35130
Alonso-Izquierdo, A.
2018
Partially dissipative 2D Boussinesq equations with Navier type boundary conditions. Zbl 1398.35007
Hu, Weiwei; Wang, Yanzhen; Wu, Jiahong; Xiao, Bei; Yuan, Jia
2018
Local and global strong solutions for SQG in bounded domains. Zbl 1398.35006
Constantin, Peter; Nguyen, Huy Quang
2018
Generalized Lagrangian coherent structures. Zbl 1391.76002
Balasuriya, Sanjeeva; Ouellette, Nicholas T.; Rypina, Irina I.
2018
The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities. Zbl 1392.35039
Tzou, J. C.; Ward, M. J.
2018
Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions. Zbl 1381.35114
Prinari, Barbara; Demontis, Francesco; Li, Sitai; Horikis, Theodoros P.
2018
Initiation of reaction-diffusion waves of blood coagulation. Zbl 1398.35117
Galochkina, T.; Marion, M.; Volpert, V.
2018
Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics. Zbl 1381.35014
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
2018
Wave propagation in a strongly nonlinear locally resonant granular crystal. Zbl 1380.74024
Vorotnikov, K.; Starosvetsky, Y.; Theocharis, G.; Kevrekidis, P. G.
2018
The Maxwell-Boltzmann approximation for ion kinetic modeling. Zbl 1398.35241
Bardos, Claude; Golse, François; Nguyen, Toan T.; Sentis, Rémi
2018
On 3D Navier-Stokes equations: regularization and uniqueness by delays. Zbl 1398.76031
Bessaih, Hakima; Garrido-Atienza, María J.; Schmalfuß, Björn
2018
Statistical solutions and Onsager’s conjecture. Zbl 1398.35153
Fjordholm, U. S.; Wiedemann, E.
2018
Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise. Zbl 1375.34078
Płociniczak, Łukasz; Świtała, Mateusz
2018
Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in $$\mathbb{R}^2$$. Zbl 1398.76193
Jiu, Quansen; Wang, Yi; Xin, Zhouping
2018
Determining modes for the surface quasi-geostrophic equation. Zbl 1398.35162
Cheskidov, Alexey; Dai, Mimi
2018
Patterns and coherence resonance in the stochastic Swift-Hohenberg equation with Pyragas control: the Turing bifurcation case. Zbl 1380.93230
Kuske, R.; Lee, C. Y.; Rottschäfer, V.
2018
Data assimilation using noisy time-averaged measurements. Zbl 1398.93119
Blocher, Jordan; Martinez, Vincent R.; Olson, Eric
2018
The role of BKM-type theorems in $$3D$$ Euler, Navier-Stokes and Cahn-Hilliard-Navier-Stokes analysis. Zbl 1398.76033
Gibbon, John D.; Gupta, Anupam; Pal, Nairita; Pandit, Rahul
2018
Scale-free behavior of networks with the copresence of preferential and uniform attachment rules. Zbl 1390.90140
Pachon, Angelica; Sacerdote, Laura; Yang, Shuyi
2018
An ordered line integral method for computing the quasi-potential in the case of variable anisotropic diffusion. Zbl 1415.65017
Dahiya, Daisy; Cameron, Maria
2018
Traveling fronts for lattice neural field equations. Zbl 1404.35083
Faye, Grégory
2018
Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem. Zbl 1392.70004
Guzzo, Massimiliano; Lega, Elena
2018
Travelling waves and their bifurcations in the Lorenz-96 model. Zbl 1380.37103
van Kekem, Dirk L.; Sterk, Alef E.
2018
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice. Zbl 1390.37125
Penati, T.; Sansottera, M.; Paleari, S.; Koukouloyannis, V.; Kevrekidis, P. G.
2018
On the classification of the spectrally stable standing waves of the Hartree problem. Zbl 1390.81147
2018
Quantum hydrodynamic approximations to the finite temperature trapped Bose gases. Zbl 1415.76769
Jin, Shi; Tran, Minh-Binh
2018
Asymptotically exact codimension-four dynamics and bifurcations in two-dimensional thermosolutal convection at high thermal Rayleigh number: chaos from a quasi-periodic homoclinic explosion and quasi-periodic intermittency. Zbl 1415.37046
Eilertsen, Justin S.; Magnan, Jerry F.
2018
Determining modes for the 3D Navier-Stokes equations. Zbl 1392.35205
Cheskidov, Alexey; Dai, Mimi; Kavlie, Landon
2018
Interaction of non-radially symmetric camphor particles. Zbl 1381.70018
Ei, Shin-Ichiro; Kitahata, Hiroyuki; Koyano, Yuki; Nagayama, Masaharu
2018
Poisson-Nernst-Planck equations with steric effects – non-convexity and multiple stationary solutions. Zbl 1381.35187
Gavish, Nir
2018
KdV equation beyond standard assumptions on initial data. Zbl 1380.35138
Rybkin, Alexei
2018
A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation. Zbl 1375.34125
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
2018
On the Lagrangian and Eulerian analyticity for the Euler equations. Zbl 1398.76021
Camliyurt, Guher; Kukavica, Igor
2018
Hyperbolic relaxation of the 2D Navier-Stokes equations in a bounded domain. Zbl 1398.35147
Ilyin, Alexei; Rykov, Yuri; Zelik, Sergey
2018
The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry. Zbl 1398.35148
Jiu, Quansen; Lopes Filho, Milton C.; Niu, Dongjuan; Nussenzveig Lopes, Helena J.
2018
Pseudo-simple heteroclinic cycles in $$\mathbb{R}^4$$. Zbl 1390.37046
Chossat, Pascal; Lohse, Alexander; Podvigina, Olga
2018
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#### Cited by 38,347 Authors

 144 Cao, Jinde 122 Ha, Seung-Yeal 110 Chen, Guanrong 98 Guo, Boling 92 Llibre, Jaume 91 Kurths, Jürgen 87 Huang, Lihong 86 Wazwaz, Abdul-Majid Abdul-Rahman 85 Wei, Juncheng 84 Titi, Edriss Saleh 74 Liao, Xiaofeng 74 Yin, Zhaoyang 70 Majda, Andrew J. 67 Pelinovsky, Dmitry Efimovich 66 Haller, George 65 Marsden, Jerrold Eldon 64 Knobloch, Edgar 64 Zumbrun, Kevin R. 63 Temam, Roger Meyer 62 Holm, Darryl D. 60 Kevrekidis, Panayotis G. 58 Carrillo de la Plata, José Antonio 58 Xu, Wei 57 Qu, Changzheng 56 Wang, Xingyuan 54 Ashwin, Peter 54 Liu, Yue 52 Miranville, Alain M. 52 Wei, Junjie 50 Aihara, Kazuyuki 50 Pham, Viet-Thanh 50 Xu, Jian 50 Zhang, Wei 49 Gardini, Laura 49 Ma, Wen-Xiu 48 Geng, Xianguo 48 Jafari, Sajad 48 Mezić, Igor 47 Malomed, Boris A. 47 Mu, Chunlai 46 Calogero, Francesco A. 46 Sprott, Julien Clinton 46 Wang, Bixiang 46 Zhou, Shengfan 45 de la Llave, Rafael 44 Li, Jibin 44 Meiss, James D. 43 Bollt, Erik M. 43 Kapitaniak, Tomasz 42 Fan, Engui 42 Pikovsky, Arkady S. 42 Ward, Michael J. 41 Liu, Zengrong 41 MacKay, Robert Sinclair 41 Small, Michael 40 Grimshaw, Roger Hamilton James 40 Qiao, Zhijun 40 Wiggins, Stephen 39 Grebogi, Celso 39 Guo, Shangjiang 39 Jiang, Haijun 39 Kevrekidis, Ioannis George 39 Kudryashov, Nikolaĭ Alekseevich 38 Li, Chuandong 38 Wei, Zhouchao 38 Yorke, James Alan 37 Gao, Hongjun 37 Grammaticos, Basil 36 Ablowitz, Mark Jay 36 Crutchfield, James P. 36 Foiaş, Ciprian Ilie 36 Ramani, Alfred 36 Sanjuán, Miguel A. F. 36 Sherratt, Jonathan A. 35 Duan, Jinqiao 35 Han, Maoan 35 Kolokolnikov, Theodore 35 Sandstede, Björn 35 Stewart, Ian Nicholas 35 Valls Anglés, Cláudia 34 Fokas, Athanassios S. 34 Jolly, Michael S. 34 Osher, Stanley Joel 34 Zaslavski, Alexander Yakovlevich 33 Caldas, Iberê L. 33 Colli, Pierluigi 33 Dehghan Takht Fooladi, Mehdi 33 Doering, Charles R. 33 He, Jingsong 33 Kuznetsov, Sergey P. 33 Lakshmanan, Muthusamy 33 Letellier, Christophe 33 Tian, Lixin 33 Turaev, Dmitry V. 33 Yang, Tong 33 Yang, Xiaofeng 33 Yang, Xiaosong 32 Boyd, John Philip 32 Fabrizio, Mauro 32 Froyland, Gary ...and 38,247 more Authors
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#### Cited in 953 Journals

 2,819 Physica D 1,772 Chaos 1,424 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1,301 Chaos, Solitons and Fractals 1,223 Journal of Mathematical Physics 866 Journal of Differential Equations 811 Journal of Fluid Mechanics 794 Nonlinear Dynamics 774 Applied Mathematics and Computation 747 Journal of Computational Physics 705 Journal of Mathematical Analysis and Applications 680 Communications in Nonlinear Science and Numerical Simulation 674 Physics of Fluids 545 Journal of Statistical Physics 532 Communications in Mathematical Physics 410 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 378 Journal of Nonlinear Science 369 Computers & Mathematics with Applications 345 Nonlinear Analysis. Real World Applications 332 Journal of Computational and Applied Mathematics 275 Archive for Rational Mechanics and Analysis 274 Discrete and Continuous Dynamical Systems 258 Mathematical Problems in Engineering 253 SIAM Journal on Applied Dynamical Systems 248 Theoretical and Mathematical Physics 241 Discrete and Continuous Dynamical Systems. Series B 240 Nonlinearity 240 Journal of Theoretical Biology 222 Journal of Scientific Computing 217 Applied Mathematics Letters 210 Abstract and Applied Analysis 203 Computer Methods in Applied Mechanics and Engineering 199 Applied Mathematical Modelling 196 Journal of Nonlinear Mathematical Physics 193 Journal of Dynamics and Differential Equations 187 Mathematics and Computers in Simulation 185 Mathematical Methods in the Applied Sciences 182 Regular and Chaotic Dynamics 177 Journal of Mathematical Biology 176 ZAMP. Zeitschrift für angewandte Mathematik und Physik 176 Celestial Mechanics and Dynamical Astronomy 175 Bulletin of Mathematical Biology 172 Studies in Applied Mathematics 170 Physics Letters. A 161 Physica A 160 Applicable Analysis 160 Applied Numerical Mathematics 160 SIAM Journal on Mathematical Analysis 159 Journal of Geometry and Physics 158 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 157 Journal of the Franklin Institute 141 Mathematical and Computer Modelling 138 Advances in Difference Equations 136 Wave Motion 131 Automatica 131 Journal of Mathematical Imaging and Vision 128 Biological Cybernetics 122 Neural Networks 121 Letters in Mathematical Physics 120 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 118 Mathematical Biosciences 118 Discrete Dynamics in Nature and Society 117 Acta Applicandae Mathematicae 117 European Journal of Mechanics. B. Fluids 111 Dynamical Systems 110 International Journal of Modern Physics B 109 Computers and Fluids 109 Neural Computation 108 Communications on Pure and Applied Analysis 107 Journal of Functional Analysis 107 Transactions of the American Mathematical Society 107 Journal of Physics A: Mathematical and Theoretical 105 International Journal of Modern Physics C 104 International Journal of Theoretical Physics 104 Complexity 104 SIAM Journal on Imaging Sciences 99 Acta Mathematicae Applicatae Sinica. English Series 99 SIAM Journal on Scientific Computing 96 SIAM Journal on Applied Mathematics 96 Journal of Mathematical Sciences (New York) 95 Nonlinear Analysis. Theory, Methods & Applications 91 Applied Mathematics and Mechanics. (English Edition) 91 Communications in Partial Differential Equations 89 Advances in Mathematics 85 Proceedings of the American Mathematical Society 82 Japan Journal of Industrial and Applied Mathematics 82 International Journal of Computer Mathematics 81 Theoretical Computer Science 81 Journal of Applied Mathematics 80 Journal of High Energy Physics 79 Journal of Statistical Mechanics: Theory and Experiment 78 Discrete and Continuous Dynamical Systems. Series S 77 Journal of Difference Equations and Applications 76 Journal of Engineering Mathematics 76 Calculus of Variations and Partial Differential Equations 75 Mathematics of Computation 75 Advances in Mathematical Physics 72 Mathematical Modelling of Natural Phenomena 70 Quarterly of Applied Mathematics 69 European Journal of Applied Mathematics ...and 853 more Journals
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#### Cited in 63 Fields

 12,313 Partial differential equations (35-XX) 11,328 Dynamical systems and ergodic theory (37-XX) 7,005 Ordinary differential equations (34-XX) 6,781 Fluid mechanics (76-XX) 5,048 Biology and other natural sciences (92-XX) 4,274 Numerical analysis (65-XX) 2,573 Statistical mechanics, structure of matter (82-XX) 2,564 Systems theory; control (93-XX) 2,383 Mechanics of particles and systems (70-XX) 1,674 Computer science (68-XX) 1,667 Probability theory and stochastic processes (60-XX) 1,647 Information and communication theory, circuits (94-XX) 1,487 Mechanics of deformable solids (74-XX) 1,426 Quantum theory (81-XX) 951 Statistics (62-XX) 868 Calculus of variations and optimal control; optimization (49-XX) 733 Classical thermodynamics, heat transfer (80-XX) 697 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 689 Optics, electromagnetic theory (78-XX) 654 Operations research, mathematical programming (90-XX) 634 Geophysics (86-XX) 613 Operator theory (47-XX) 601 Difference and functional equations (39-XX) 589 Global analysis, analysis on manifolds (58-XX) 487 Differential geometry (53-XX) 387 Combinatorics (05-XX) 355 Measure and integration (28-XX) 319 Integral equations (45-XX) 316 Real functions (26-XX) 306 Special functions (33-XX) 287 Algebraic geometry (14-XX) 264 Linear and multilinear algebra; matrix theory (15-XX) 241 Harmonic analysis on Euclidean spaces (42-XX) 235 Nonassociative rings and algebras (17-XX) 221 Relativity and gravitational theory (83-XX) 209 Functions of a complex variable (30-XX) 157 Functional analysis (46-XX) 143 Number theory (11-XX) 127 Astronomy and astrophysics (85-XX) 114 Approximations and expansions (41-XX) 108 Topological groups, Lie groups (22-XX) 88 General topology (54-XX) 80 General and overarching topics; collections (00-XX) 78 Several complex variables and analytic spaces (32-XX) 78 Manifolds and cell complexes (57-XX) 64 History and biography (01-XX) 62 Integral transforms, operational calculus (44-XX) 60 Group theory and generalizations (20-XX) 58 Convex and discrete geometry (52-XX) 47 Mathematical logic and foundations (03-XX) 46 Associative rings and algebras (16-XX) 45 Commutative algebra (13-XX) 43 Algebraic topology (55-XX) 41 Potential theory (31-XX) 29 Order, lattices, ordered algebraic structures (06-XX) 29 Field theory and polynomials (12-XX) 14 Geometry (51-XX) 10 Mathematics education (97-XX) 8 Category theory; homological algebra (18-XX) 8 Sequences, series, summability (40-XX) 7 Abstract harmonic analysis (43-XX) 3 General algebraic systems (08-XX) 3 $$K$$-theory (19-XX)