99-298 P. Collet, J.-P. Eckmann
Topological Entropy and epsilon-Entropy for Damped Hyperbolic Equations (361K, pstscript) Aug 16, 99
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Abstract. We study damped hyperbolic equations on the infinite line. We show that on the global attracting set G the epsilon-entropy (per unit length) exists in the topology of $W^{1,\infty}$. 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 in $W^{1,\infty}$.

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