## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 450

Research exposition (monographs, survey articles) 1047

Explicit machine computation and programs (not the theory of computation or programming) 160

Ergodic theorems, spectral theory, Markov operators [For operator ergodic theory, see mainly 47A35] 1498

Nonsingular (and infinite-measure preserving) transformations 245

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 1310

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 214

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 860

Approximate trajectories (pseudotrajectories, shadowing, etc.) 525

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 1005

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1510

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 1046

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1709

Hyperbolic systems with singularities (billiards, etc.) 920

Maps of the interval (piecewise continuous, continuous, smooth) 2265

Combinatorial dynamics (types of periodic orbits) 339

Obstructions to integrability (nonintegrability criteria) 301

Special approximation methods (nonlinear Galerkin, etc.) 116

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 569

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2569