Periodic bounce orbits of prescribed energy

Details Periodic bounce orbits of prescribed energy Periodic bounce orbits of prescribed energy

2010-06-06

arxiv.org/abs/1006.1125v2

International Mathematics Research Notices 2011, no. 14, 3289-3314

Mathematics

Dynamical Systems

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

Scientific paper

10.1093/imrn/rnq193

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.

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