P. Collet, J.-P. Eckmann
Topological Entropy and epsilon-Entropy 
for Damped Hyperbolic Equations
(361K, pstscript)

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 $W^{1,\infty}$.