Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities

Katok, Anatole.

Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities [electronic resource] / by Anatole Katok, Jean-Marie Strelcyn, François Ledrappier, Feliks Przytycki. - X, 290 p. online resource. - Lecture Notes in Mathematics, 1222 0075-8434 ; . - Lecture Notes in Mathematics, 1222 .

Existence of invariant manifolds for smooth maps with singularities -- Absolute continuity -- The estimation of entropy from below through Lyapunov characteristic exponents -- The estimation of entorpy from above through Lyapunov characteristic numbers -- Plane billiards as smooth dynamical systems with singularities.

9783540473497

10.1007/BFb0099031 doi


Cell aggregation--Mathematics.
Manifolds and Cell Complexes (incl. Diff.Topology).

QA613-613.8 QA613.6-613.66

514.34
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