Periodic bounce orbits of prescribed energy

Abstract

We prove the existence of periodic bounce orbits of prescribed energy on an open bounded domain in Euclidean space. We derive explicit bounds on the period and the number of bounce points.

18 pages, 3 figures; v2: improved main result, removed typos

References in corpus (1)

• Symplectic topology of Mañé's critical values

Cited by in corpus (2)

• Symplectic embeddings and the lagrangian bidisk
• Symplectic capacity and short periodic billiard trajectory