37-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 5 Dok.)

• 37-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 37-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 37-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 37-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 37-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 37-XX Dynamical systems and ergodic theory ( 0 Dok.)
• 37A05 Measure-preserving transformations ( 0 Dok.)
• 37A10 One-parameter continuous families of measure-preserving transformations ( 0 Dok.)
• 37A15 General groups of measure-preserving transformation ( 0 Dok.)
• 37A17 Homogeneous flows ( 0 Dok.)
• 37A20 Orbit equivalence, cocycles, ergodic equivalence relations ( 0 Dok.)
• 37A25 Ergodicity, mixing, rates of mixing ( 0 Dok.)
• 37A30 Ergodic theorems, spectral theory, Markov operators ( 0 Dok.)
• 37A35 Entropy and other invariants, isomorphism, classification ( 0 Dok.)
• 37A40 Nonsingular (and infinite-measure preserving) transformations ( 0 Dok.)
• 37A45 Relations with number theory and harmonic analysis ( 0 Dok.)
• 37A50 Relations with probability theory and stochastic processes ( 0 Dok.)
• 37A55 Relations with the theory of C*-algebras ( 0 Dok.)
• 37A60 Dynamical systems in statistical mechanics ( 0 Dok.)
• 37A99 None of the above, but in this section ( 0 Dok.)
• 37Axx Ergodic theory ( 0 Dok. )
• 37B05 Transformations and group actions with special properties (minimality, distality, proximality, etc.) ( 0 Dok.)
• 37B10 Symbolic dynamics ( 0 Dok.)
• 37B15 Cellular automata ( 0 Dok.)
• 37B20 Notions of recurrence ( 0 Dok.)
• 37B25 Lyapunov functions and stability; atrractors, repellers ( 0 Dok.)
• 37B30 Index theory, Morse-Conley indices ( 0 Dok.)
• 37B35 Gradient-like and recurrent behavior; isolated (locally-maximal) invariant sets ( 0 Dok.)
• 37B40 Topological entropy ( 0 Dok.)
• 37B45 Continua theory in dynamics ( 0 Dok.)
• 37B50 Multi-dimensional shifts of finite type, tiling dynamics ( 0 Dok.)
• 37B55 Nonautonomous dynamical systems ( 1 Dok.)
• 37B99 None of the above, but in this section ( 0 Dok.)
• 37Bxx Topological dynamics ( 2 Dok. )
• 37C05 Smooth mappings and diffeomorphisms ( 0 Dok.)
• 37C10 Vector fields, flows, ordinary differential equations ( 0 Dok.)
• 37C15 Topological and differentiable equivalence, conjugacy, invariants, moduli, classification ( 0 Dok.)
• 37C20 Generic properties, structural stability ( 0 Dok.)
• 37C25 Fixed points, periodic points, fixed-point index theory ( 0 Dok.)
• 37C27 Periodic orbits of vector fields and flows ( 0 Dok.)
• 37C29 Homoclinic and heteroclinic orbits ( 0 Dok.)
• 37C30 Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems ( 0 Dok.)
• 37C35 Orbit growth ( 0 Dok.)
• 37C40 Smooth ergodic theory, invariant measures ( 0 Dok.)
• 37C45 Dimension theory of dynamical systems ( 0 Dok.)
• 37C50 Approximate trajectories (pseudotrajectories, shadowing, etc.) ( 0 Dok.)
• 37C55 Periodic and quasiperiodic flows and diffeomorphisms ( 0 Dok.)
• 37C60 Nonautonomous smooth dynamical systems ( 0 Dok.)
• 37C65 Monotone flows ( 0 Dok.)
• 37C70 Attractors and repellers, topological structure ( 1 Dok.)
• 37C75 Stability theory ( 0 Dok.)
• 37C80 Symmetries, equivariant dynamical systems ( 0 Dok.)
• 37C85 Dynamics of group actions other than Z and R, and foliations ( 0 Dok.)
• 37C99 None of the above, but in this section ( 0 Dok.)
• 37Cxx Smooth dynamical systems: general theory ( 1 Dok. )
• 37D05 Hyperbolic orbits and sets ( 0 Dok.)
• 37D10 Invariant manifold theory ( 0 Dok.)
• 37D15 Morse-Smale systems ( 0 Dok.)
• 37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) ( 0 Dok.)
• 37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) ( 0 Dok.)
• 37D30 Partially hyperbolic systems and dominated splittings ( 0 Dok.)
• 37D35 Thermodynamic formalism, variational principles, equilibrium states ( 0 Dok.)
• 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) ( 0 Dok.)
• 37D45 Strange attractors, chaotic dynamics ( 0 Dok.)
• 37D50 Hyperbolic systems with singularities (billiards, etc.) ( 0 Dok.)
• 37D99 None of the above, but in this section ( 0 Dok.)
• 37Dxx Dynamical systems with hyperbolic behavior ( 1 Dok. )
• 37E05 Maps of the interval (piecewise continuous, continuous, smooth) ( 0 Dok.)
• 37E10 Maps of the circle ( 0 Dok.)
• 37E15 Combinatorial dynamics (types of periodic orbits) ( 0 Dok.)
• 37E20 Universality, renormalization ( 0 Dok.)
• 37E25 Maps of trees and graphs ( 0 Dok.)
• 37E30 Homeomorphisms and diffeomorphisms of planes and surfaces ( 0 Dok.)
• 37E35 Flows on surfaces ( 0 Dok.)
• 37E40 Twist maps ( 0 Dok.)
• 37E45 Rotation numbers and vectors ( 0 Dok.)
• 37E99 None of the above, but in this section ( 0 Dok.)
• 37Exx Low-dimensional dynamical systems ( 0 Dok. )
• 37F05 Relations and correspondences ( 0 Dok.)
• 37F10 Polynomials; rational maps; entire and meromorphic functions ( 0 Dok.)
• 37F15 Expanding maps; hyperbolicity; structural stability ( 0 Dok.)
• 37F20 Combinatorics and topology ( 0 Dok.)
• 37F25 Renormalization ( 0 Dok.)
• 37F30 Quasiconformal methods and Teichmüller theory; Fuchsian and Kleinian groups as dynamical systems ( 0 Dok.)
• 37F35 Conformal densities and Hausdorff dimension ( 0 Dok.)
• 37F40 Geometric limits ( 0 Dok.)
• 37F45 Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations ( 0 Dok.)
• 37F50 Small divisors, rotation domains and linearization; Fatou and Julia sets ( 0 Dok.)
• 37F75 Holomorphic foliations and vector fields ( 0 Dok.)
• 37F99 None of the above, but in this section ( 0 Dok.)
• 37Fxx Complex dynamical systems ( 0 Dok. )
• 37G05 Normal forms ( 0 Dok.)
• 37G10 Bifurcations of singular points ( 0 Dok.)
• 37G15 Bifurcations of limit cycles and periodic orbits ( 0 Dok.)
• 37G20 Hyperbolic singular points with homoclinic trajectories ( 0 Dok.)
• 37G25 Bifurcations connected with nontransversal intersection ( 0 Dok.)
• 37G30 Infinite nonwandering sets arising in bifurcations ( 0 Dok.)
• 37G35 Attractors and their bifurcations ( 0 Dok.)
• 37G40 Symmetries, equivariant bifurcation theory ( 0 Dok.)
• 37G99 None of the above, but in this section ( 0 Dok.)
• 37Gxx Local and nonlocal bifurcation theory ( 0 Dok. )
• 37H05 Foundations, general theory of cocycles, algebraic ergodic theory ( 0 Dok.)
• 37H10 Generation, random and stochastic difference and differential equations ( 0 Dok.)
• 37H15 Multiplicative ergodic theory, Lyapunov exponents ( 0 Dok.)
• 37H20 Bifurcation theory ( 0 Dok.)
• 37H99 None of the above, but in this section ( 0 Dok.)
• 37Hxx Random dynamical systems ( 0 Dok. )
• 37J05 General theory, relations with symplectic geometry and topology ( 0 Dok.)
• 37J10 Symplectic mappings, fixed points ( 0 Dok.)
• 37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction ( 0 Dok.)
• 37J20 Bifurcation problems ( 0 Dok.)
• 37J25 Stability problems ( 0 Dok.)
• 37J30 Obstructions to integrability (nonintegrability criteria) ( 0 Dok.)
• 37J35 Completely integrable systems, topological structure of phase space, integration methods ( 0 Dok.)
• 37J40 Perturbations, normal forms, small divisors, KAM theory, Arnold diffusion ( 0 Dok.)
• 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods ( 0 Dok.)
• 37J50 Action-minimizing orbits and measures ( 0 Dok.)
• 37J55 Contact systems ( 0 Dok.)
• 37J60 Nonholonomic dynamical systems ( 0 Dok.)
• 37J99 None of the above, but in this section ( 0 Dok.)
• 37Jxx Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems ( 1 Dok. )
• 37K05 Hamiltonian structures, symmetries, variational principles, conservation laws ( 0 Dok.)
• 37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) ( 0 Dok.)
• 37K15 Integration of completely integrable systems by inverse spectral and scattering methods ( 0 Dok.)
• 37K20 Relations with algebraic geometry, complex analysis, special functions ( 0 Dok.)
• 37K25 Relations with differential geometry ( 0 Dok.)
• 37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures ( 0 Dok.)
• 37K35 Lie-Bäcklund and other transformations ( 0 Dok.)
• 37K40 Soliton theory, asymptotic behavior of solutions ( 0 Dok.)
• 37K45 Stability problems ( 0 Dok.)
• 37K50 Bifurcation problems ( 0 Dok.)
• 37K55 Perturbations, KAM for infinite-dimensional systems ( 0 Dok.)
• 37K60 Lattice dynamics ( 0 Dok.)
• 37K65 Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics ( 0 Dok.)
• 37K99 None of the above, but in this section ( 0 Dok.)
• 37Kxx Infinite-dimensional Hamiltonian systems ( 0 Dok. )
• 37L05 General theory, nonlinear semigroups, evolution equations ( 0 Dok.)
• 37L10 Normal forms, center manifold theory, bifurcation theory ( 0 Dok.)
• 37L15 Stability problems ( 0 Dok.)
• 37L20 Symmetries ( 0 Dok.)
• 37L25 Inertial manifolds and other invariant attracting sets ( 0 Dok.)
• 37L30 Attractors and their dimensions, Lyapunov exponents ( 0 Dok.)
• 37L40 Invariant measures ( 0 Dok.)
• 37L45 Hyperbolicity; Lyapunov functions ( 0 Dok.)
• 37L50 Noncompact semigroups; dispersive equations; perturbations of Hamiltonian systems ( 0 Dok.)
• 37L55 Infinite-dimensional random dynamical systems; stochastic equations ( 0 Dok.)
• 37L60 Lattice dynamics ( 0 Dok.)
• 37L60 Approximation methods (nonlinear Galerkin, etc.) ( 0 Dok.)
• 37L99 None of the above, but in this section ( 0 Dok.)
• 37Lxx Infinite-dimensional dissipative dynamical systems ( 0 Dok. )
• 37M05 Simulation ( 0 Dok.)
• 37M10 Time series analysis ( 0 Dok.)
• 37M15 Symplectic integrators ( 0 Dok.)
• 37M20 Computational methods for bifurcation problems ( 0 Dok.)
• 37M25 Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) ( 0 Dok.)
• 37M99 None of the above, but in this section ( 0 Dok.)
• 37Mxx Approximation methods and numerical treatment of dynamical systems ( 0 Dok. )
• 37N05 Dynamical systems in classical and celestial mechanics ( 0 Dok.)
• 37N10 Dynamical systems in fluid mechanics, oceanography and meteorology ( 0 Dok.)
• 37N15 Dynamical systems in solid mechanics ( 0 Dok.)
• 37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) ( 0 Dok.)
• 37N25 Dynamical systems in biology ( 0 Dok.)
• 37N30 Dynamical systems in numerical analysis ( 0 Dok.)
• 37N35 Dynamical systems in control ( 0 Dok.)
• 37N40 Dynamical systems in optimization and economics ( 0 Dok.)
• 37N99 None of the above, but in this section ( 0 Dok.)
• 37Nxx Applications ( 0 Dok. )

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Letzte Änderung: 14.07.10