## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 465

Research exposition (monographs, survey articles) 1103

Explicit machine computation and programs (not the theory of computation or programming) 163

Ergodic theorems, spectral theory, Markov operators [For operator ergodic theory, see mainly 47A35] 1588

Nonsingular (and infinite-measure preserving) transformations 262

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 1425

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 230

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 905

Approximate trajectories (pseudotrajectories, shadowing, etc.) 559

Dynamics of group actions other than \(\mathbb Z\) and \(\mathbb R\), and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 1066

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1557

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 1100

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1787

Hyperbolic systems with singularities (billiards, etc.) 963

Maps of the interval (piecewise continuous, continuous, smooth) 2353

Combinatorial dynamics (types of periodic orbits) 357

Obstructions to integrability (nonintegrability criteria) 315

Special approximation methods (nonlinear Galerkin, etc.) 125

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 604

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2608