Coupling of bouncing-ball modes to the chaotic sea and their counting function
Coupling of bouncing-ball modes to the chaotic sea and their counting function
We study the coupling of bouncing-ball modes to chaotic modes in two-dimensional billiards with two parallel boundary segments. Analytically, we predict the corresponding decay rates using the fictitious integrable system approach. Agreement with numerically determined rates is found for the stadium and the cosine billiard. We use this result to …