## Mathematical Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.)
434

Research exposition (monographs, survey articles)
1004

Explicit machine computation and programs (not the theory of computation or programming)
156

Ergodic theorems, spectral theory, Markov operators [For operator ergodic theory, see mainly 47A35]
1416

Nonsingular (and infinite-measure preserving) transformations
224

Transformations and group actions with special properties (minimality, distality, proximality, etc.)
1192

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets
199

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
809

Approximate trajectories (pseudotrajectories, shadowing, etc.)
488

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx]
941

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
1426

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
961

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
1621

Hyperbolic systems with singularities (billiards, etc.)
847

Maps of the interval (piecewise continuous, continuous, smooth)
2166

Combinatorial dynamics (types of periodic orbits)
315

Obstructions to integrability (nonintegrability criteria)
277

Special approximation methods (nonlinear Galerkin, etc.)
104

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy)
534

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
2477