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arxiv: 1006.1125 · v2 · pith:UQBIGXIGnew · submitted 2010-06-06 · 🧮 math.DS · math.SG

Periodic bounce orbits of prescribed energy

classification 🧮 math.DS math.SG
keywords bounceenergyorbitsperiodicprescribedboundedboundsderive
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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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