Topological Entropy and ε-Entropy for Damped Hyperbolic Equations
نویسندگان
چکیده
منابع مشابه
Entropy operator for continuous dynamical systems of finite topological entropy
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متن کاملar X iv : m at h / 99 08 08 0 v 1 [ m at h . D S ] 1 6 A ug 1 99 9 Topological Entropy and ε - Entropy for Damped Hyperbolic Equations
We study damped hyperbolic equations on the infinite line. We show that on the global attracting set G the ε-entropy (per unit length) exists in the topology of W 1,∞. We also show that the topological entropy per unit length of G exists. These results are shown using two main techniques: Bounds in bounded domains in position space and for large momenta, and a novel submultiplicativity argument...
متن کاملTopological Entropy Bounds for Hyperbolic Plateaus of the Hénon Map
Combining two existing rigorous computational methods, for verifying hyperbolicity (due to Arai) and for computing topological entropy bounds (due to Day et al.), we prove lower bounds on topological entropy for 43 hyperbolic plateaus of the Hénon map. We also examine the 16 area-preserving plateaus studied by Arai and compare our results with related work. Along the way, we augment the algorit...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2000
ISSN: 1424-0637
DOI: 10.1007/pl00001013