37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] 120164
37-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to dynamical systems and ergodic theory 12
37-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory 490
37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory 1167
37-03 History of dynamical systems and ergodic theory [Consider also classification numbers pertaining to Section 01-XX] 255
37-04 Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory 168
37-06 Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory 1068
37A10 Dynamical systems involving one-parameter continuous families of measure-preserving transformations 215
37A15 General groups of measure-preserving transformations and dynamical systems [See mainly 22Fxx] 575
37A30 Ergodic theorems, spectral theory, Markov operators {For operator ergodic theory, see mainly 47A35} 1762
37A50 Dynamical systems and their relations with probability theory and stochastic processes [See also 60Fxx, 60G10] 1009
37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) 1607
37B35 Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems 267
37B65 Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems 56
37C15 Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems 1031
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory, local dynamics 2036
37C30 Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. 1003
37C85 Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\) [See mainly 22Fxx, and also 32M25, 57R30, 57Sxx] 1195
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1918
37E05 Dynamical systems involving maps of the interval (piecewise continuous, continuous, smooth) 2522
37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets [See also 32A10, 32A20, 32H02, 32H04] 2391
37F15 Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems 270
37F44 Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps 26
37F75 Dynamical aspects of holomorphic foliations and vector fields [See also 32M25, 32S65, 34Mxx] 606
37H10 Generation, random and stochastic difference and differential equations [See also 34F05, 34K50, 60H10, 60H15] 1215
37H15 Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents [See also 34D08, 37Axx, 37Cxx, 37Dxx] 499
37Jxx Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [See also 53Dxx, 70Fxx, 70Hxx] 18289
37J06 General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants 91
37J30 Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) 338
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 5392
37J37 Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures 34
37J38 Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions 21
37J39 Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) [See also 53D20] 123
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion 2354
37J51 Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods 55
37Kxx Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems [See also 35Axx, 35Qxx] 18782
37K06 General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws 90
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 10724
37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems 1216
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions [See also 14H70] 879
37K25 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry 698
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures 1033
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems 2053
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems 2971
37K58 Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems 12
37L05 General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations 551
37L10 Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems 436
37L25 Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems 273
37L30 Infinite-dimensional dissipative dynamical systems–attractors and their dimensions, Lyapunov exponents 1527
37L50 Noncompact semigroups; dispersive equations; perturbations of infinite-dimensional dissipative dynamical systems 142
37L55 Infinite-dimensional random dynamical systems; stochastic equations [See also 35R60, 60H10, 60H15] 440
37L65 Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems 138
37Mxx Approximation methods and numerical treatment of dynamical systems {For numerical analysis, see also 65Pxx; for software etc., see 37-04} 5310
37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems 1085
37M25 Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) 666
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology [See mainly 76-XX, especially 76D05, 76F20, 86A05, 86A10] 2135
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2694
37P30 Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems [See also 11G50, 14G40] 135