## Mathematics Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 12

Instructional exposition (textbooks, tutorial papers, etc.) 442

Research exposition (monographs, survey articles) 1034

Explicit machine computation and programs (not the theory of computation or programming) 158

Ergodic theorems, spectral theory, Markov operators [For operator ergodic theory, see mainly 47A35] 1473

Nonsingular (and infinite-measure preserving) transformations 236

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 1266

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 207

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 838

Approximate trajectories (pseudotrajectories, shadowing, etc.) 511

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 984

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1483

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 1012

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1670

Hyperbolic systems with singularities (billiards, etc.) 884

Maps of the interval (piecewise continuous, continuous, smooth) 2223

Combinatorial dynamics (types of periodic orbits) 331

Obstructions to integrability (nonintegrability criteria) 292

Special approximation methods (nonlinear Galerkin, etc.) 110

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 554

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2530