37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 127648
37-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to dynamical systems and ergodic theory 14
37-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory 516
37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory 1207
37-03 History of dynamical systems and ergodic theory [Consider also classification numbers from Section 01-XX] 280
37-04 Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory 175
37-06 Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory 1143
37A10 Dynamical systems involving one-parameter continuous families of measure-preserving transformations 241
37A15 General groups of measure-preserving transformations and dynamical systems [See mainly 22Fxx] 632
37A30 Ergodic theorems, spectral theory, Markov operators {For operator ergodic theory, see mainly 47A35} 1941
37A50 Dynamical systems and their relations with probability theory and stochastic processes [See also 60Fxx, 60G10] 1164
37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) 1872
37B35 Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems 326
37B65 Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems 127
37C15 Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems 1121
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics 2188
37C30 Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. 1081
37C85 Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\) [See mainly 22Fxx, and also 32M25, 57R30, 57Sxx] 1282
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 2080
37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets [See also 32A10, 32A20, 32H02, 32H04] 2583
37F15 Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems 292
37F44 Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps 42
37F75 Dynamical aspects of holomorphic foliations and vector fields [See also 32M25, 32S65, 34Mxx] 641
37H10 Generation, random and stochastic difference and differential equations [See also 34F05, 34K50, 60H10, 60H15] 1322
37H15 Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents [See also 34Fxx, 37Axx, 37Cxx, 37Dxx] 548
37Jxx Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [See also 53Dxx, 70Fxx, 70Hxx] 19037
37J06 General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants 168
37J30 Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) 359
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 5584
37J37 Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures 66
37J38 Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions 46
37J39 Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) [See also 53D20] 254
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion 2508
37J51 Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods 118
37Kxx Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems [See also 35Axx, 35Qxx] 19821
37K06 General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws 176
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 11198
37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems 1307
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions [See also 14H70] 951
37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry 750
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures 1109
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems 2222
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems 3193
37K58 Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems 22
37L05 General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations 600
37L10 Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems 491
37L25 Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems 297
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems 1677
37L50 Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems 158
37L55 Infinite-dimensional random dynamical systems; stochastic equations [See also 35R60, 60H10, 60H15] 539
37L65 Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems 158
37Mxx Approximation methods and numerical treatment of dynamical systems {For numerical analysis, see also 65Pxx; for software etc., see 37-04} 5874
37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems 1149
37M25 Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) 746
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology [See mainly 76-XX, especially 76D05, 76F20, 86A05, 86A10] 2230
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2726
37P30 Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems [See also 11G50, 14G40] 146