Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities

Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities

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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.