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< 35-XX | Up | 39-XX >
37-XX Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
37-00   General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to dynamical systems and ergodic theory
37-01   Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory
37-02   Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory
37-03   History of dynamical systems and ergodic theory [Consider also classification numbers from Section 01-XX]
37-04   Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory
37-06   Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory
37-11   Research data for problems pertaining to dynamical systems and ergodic theory
37A05   Dynamical aspects of measure-preserving transformations
37A10   Dynamical systems involving one-parameter continuous families of measure-preserving transformations
37A15   General groups of measure-preserving transformations and dynamical systems [See mainly 22Fxx]
37A17   Homogeneous flows [See also 22Fxx]
37A20   Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations
37A25   Ergodicity, mixing, rates of mixing
37A30   Ergodic theorems, spectral theory, Markov operators {For operator ergodic theory, see mainly 47A35}
37A35   Entropy and other invariants, isomorphism, classification in ergodic theory
37A40   Nonsingular (and infinite-measure preserving) transformations
37A44   Relations between ergodic theory and number theory [See also 11Kxx]
37A46   Relations between ergodic theory and harmonic analysis
37A50   Dynamical systems and their relations with probability theory and stochastic processes [See also 60Fxx, 60G10]
37A55   Dynamical systems and the theory of $C^*$-algebras [See mainly 46L55]
37A60   Dynamical aspects of statistical mechanics [See also 82Cxx]
37A99   None of the above, but in this section
37B02   Dynamics in general topological spaces
37B05   Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
37B10   Symbolic dynamics
37B15   Dynamical aspects of cellular automata {For computational aspects, see 68Q80}
37B20   Notions of recurrence and recurrent behavior in topological dynamical systems
37B25   Stability of topological dynamical systems
37B30   Index theory for dynamical systems, Morse-Conley indices
37B35   Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems
37B40   Topological entropy
37B45   Continua theory in dynamics
37B51   Multidimensional shifts of finite type
37B52   Tiling dynamics
37B55   Topological dynamics of nonautonomous systems
37B65   Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems
37B99   None of the above, but in this section
37C05   Dynamical systems involving smooth mappings and diffeomorphisms
37C10   Dynamics induced by flows and semiflows
37C15   Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems
37C20   Generic properties, structural stability of dynamical systems
37C25   Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
37C27   Periodic orbits of vector fields and flows
37C29   Homoclinic and heteroclinic orbits for dynamical systems
37C30   Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc.
37C35   Orbit growth in dynamical systems
37C40   Smooth ergodic theory, invariant measures for smooth dynamical systems [See also 37Dxx]
37C45   Dimension theory of smooth dynamical systems
37C50   Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics
37C55   Periodic and quasi-periodic flows and diffeomorphisms
37C60   Nonautonomous smooth dynamical systems
37C65   Monotone flows as dynamical systems
37C70   Attractors and repellers of smooth dynamical systems and their topological structure
37C75   Stability theory for smooth dynamical systems
37C79   Symmetries and invariants of dynamical systems [See also 34C14, 34K04]
37C81   Equivariant dynamical systems
37C83   Dynamical systems with singularities (billiards, etc.)
37C85   Dynamics induced by group actions other than $\mathbb{Z}$ and $\mathbb{R}$, and $\mathbb{C}$ [See mainly 22Fxx, and also 32M25, 57R30, 57Sxx]
37C86   Foliations generated by dynamical systems
37C99   None of the above, but in this section
37D05   Dynamical systems with hyperbolic orbits and sets
37D10   Invariant manifold theory for dynamical systems
37D15   Morse-Smale systems
37D20   Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
37D25   Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
37D30   Partially hyperbolic systems and dominated splittings
37D35   Thermodynamic formalism, variational principles, equilibrium states for dynamical systems
37D40   Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
37D45   Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37D99   None of the above, but in this section
37E05   Dynamical systems involving maps of the interval
37E10   Dynamical systems involving maps of the circle
37E15   Combinatorial dynamics (types of periodic orbits)
37E20   Universality and renormalization of dynamical systems [See also 37F25]
37E25   Dynamical systems involving maps of trees and graphs
37E30   Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
37E35   Flows on surfaces
37E40   Dynamical aspects of twist maps
37E45   Rotation numbers and vectors
37E99   None of the above, but in this section
37F05   Dynamical systems involving relations and correspondences in one complex variable
37F10   Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets [See also 32A10, 32A20, 32H02, 32H04]
37F12   Critical orbits for holomorphic dynamical systems
37F15   Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems
37F20   Combinatorics and topology in relation with holomorphic dynamical systems
37F25   Renormalization of holomorphic dynamical systems
37F31   Quasiconformal methods in holomorphic dynamics; quasiconformal dynamics
37F32   Fuchsian and Kleinian groups as dynamical systems
37F34   Teichmüller theory; moduli spaces of holomorphic dynamical systems
37F35   Conformal densities and Hausdorff dimension for holomorphic dynamical systems
37F40   Geometric limits in holomorphic dynamics
37F44   Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps
37F46   Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets
37F50   Small divisors, rotation domains and linearization in holomorphic dynamics
37F75   Dynamical aspects of holomorphic foliations and vector fields [See also 32M25, 32S65, 34Mxx]
37F80   Higher-dimensional holomorphic and meromorphic dynamics
37F99   None of the above, but in this section
37G05   Normal forms for dynamical systems
37G10   Bifurcations of singular points in dynamical systems
37G15   Bifurcations of limit cycles and periodic orbits in dynamical systems
37G20   Hyperbolic singular points with homoclinic trajectories in dynamical systems
37G25   Bifurcations connected with nontransversal intersection in dynamical systems
37G30   Infinite nonwandering sets arising in bifurcations of dynamical systems
37G35   Dynamical aspects of attractors and their bifurcations
37G40   Dynamical aspects of symmetries, equivariant bifurcation theory
37G99   None of the above, but in this section
37H05   General theory of random and stochastic dynamical systems
37H10   Generation, random and stochastic difference and differential equations [See also 34F05, 34K50, 60H10, 60H15]
37H12   Random iteration
37H15   Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents [See also 34Fxx, 37Axx, 37Cxx, 37Dxx]
37H20   Bifurcation theory for random and stochastic dynamical systems [See also 37Gxx]
37H30   Stability theory for random and stochastic dynamical systems
37H99   None of the above, but in this section
37J06   General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants
37J11   Symplectic and canonical mappings
37J12   Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems
37J20   Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems
37J25   Stability problems for finite-dimensional Hamiltonian and Lagrangian systems
37J30   Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria)
37J35   Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37J37   Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures
37J38   Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions
37J39   Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) [See also 53D20]
37J40   Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion
37J46   Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems
37J51   Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods
37J55   Contact systems [See also 53D10]
37J60   Nonholonomic dynamical systems [See also 70F25]
37J65   Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) [See also 34M55]
37J70   Completely integrable discrete dynamical systems
37J99   None of the above, but in this section
37K06   General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws
37K10   Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37K15   Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems
37K20   Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions [See also 14H70]
37K25   Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
37K30   Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
37K35   Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
37K40   Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
37K45   Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems
37K50   Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems
37K55   Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems
37K58   Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems
37K60   Lattice dynamics; integrable lattice equations [See also 37L60]
37K65   Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics
37K99   None of the above, but in this section
37L05   General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations
37L10   Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems
37L15   Stability problems for infinite-dimensional dissipative dynamical systems
37L20   Symmetries of infinite-dimensional dissipative dynamical systems
37L25   Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems
37L30   Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
37L40   Invariant measures for infinite-dimensional dissipative dynamical systems
37L45   Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems
37L50   Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems
37L55   Infinite-dimensional random dynamical systems; stochastic equations [See also 35R60, 60H10, 60H15]
37L60   Lattice dynamics and infinite-dimensional dissipative dynamical systems [See also 37K60]
37L65   Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems
37L99   None of the above, but in this section
37M05   Simulation of dynamical systems
37M10   Time series analysis of dynamical systems
37M15   Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems
37M20   Computational methods for bifurcation problems in dynamical systems
37M21   Computational methods for invariant manifolds of dynamical systems
37M22   Computational methods for attractors of dynamical systems
37M25   Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.)
37M99   None of the above, but in this section
37N05   Dynamical systems in classical and celestial mechanics [See mainly 70Fxx, 70Hxx, 70Kxx]
37N10   Dynamical systems in fluid mechanics, oceanography and meteorology [See mainly 76-XX, especially 76D05, 76F20, 86A05, 86A10]
37N15   Dynamical systems in solid mechanics [See mainly 74Hxx]
37N20   Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
37N25   Dynamical systems in biology [See also 92-XX]
37N30   Dynamical systems in numerical analysis [See also 65-XX]
37N35   Dynamical systems in control [See also 93-XX]
37N40   Dynamical systems in optimization and economics [See also 90-XX, 91-XX]
37N99   None of the above, but in this section
37P05   Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps
37P10   Arithmetic and non-Archimedean dynamical systems involving analytic and meromorphic maps
37P15   Dynamical systems over global ground fields
37P20   Dynamical systems over non-Archimedean local ground fields
37P25   Dynamical systems over finite ground fields
37P30   Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems [See also 11G50, 14G40]
37P35   Arithmetic properties of periodic points
37P40   Non-Archimedean Fatou and Julia sets
37P45   Families and moduli spaces in arithmetic and non-Archimedean dynamical systems
37P50   Dynamical systems on Berkovich spaces
37P55   Arithmetic dynamics on general algebraic varieties
37P99   None of the above, but in this section
< 35-XX | Up | 39-XX >
 
 
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