Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities
Lecture notes in mathematicsPublished 1 January 1986
Anatole Katok, Jean-Marie Strelcyn, François Ledrappier, Feliks Przytycki
Citations311
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Abstract
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.
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MathematicsPhysics and Astronomy