Periodic Bounce Orbits of Prescribed Energy

Peter Albers; Marco Mazzucchelli

doi:10.1093/imrn/rnq193

Journal Articles International Mathematics Research Notices Year : 2010

Periodic Bounce Orbits of Prescribed Energy

, (1)

Peter Albers

Function : Author

Marco Mazzucchelli

Function : Author
PersonId : 10748
IdHAL : marco-mazzucchelli
ORCID : 0000-0003-3782-6079
IdRef : 157347591

Unité de Mathématiques Pures et Appliquées

Abstract

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

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Mathematics [math]

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1006.1125v2.pdf (257.82 Ko)

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01404042

Submitted on : Monday, November 28, 2016-11:46:25 AM

Last modification on : Tuesday, November 19, 2019-10:19:44 AM

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ensl-01404042 , version 1 (28-11-2016)

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HAL Id : ensl-01404042 , version 1
DOI : 10.1093/imrn/rnq193

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Peter Albers, Marco Mazzucchelli. Periodic Bounce Orbits of Prescribed Energy. International Mathematics Research Notices, 2010, ⟨10.1093/imrn/rnq193⟩. ⟨ensl-01404042⟩

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Periodic Bounce Orbits of Prescribed Energy

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