Periodic orbits of Hamiltonian systems on symmetric positive-type hypersurfaces

Tianqing An

doi:10.1016/j.jmaa.2004.03.020

Periodic orbits of Hamiltonian systems on symmetric positive-type hypersurfaces

Tianqing An

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https://doi.org/10.1016/j.jmaa.2004.03.020

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Journal: Journal of Mathematical Analysis and Applications	Publication Date: May 21, 2004
Citations: 2	License type: publisher-specific-oa

Affiliation: Hohai University

#Periodic Orbits Of Hamiltonian Systems #Symmetric Periodic Orbit + Show 8 more

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Abstract

This paper discusses the existence and multiplicity of periodic orbits of Hamiltonian systems on symmetric positive-type hypersurfaces. We prove that each such energy hypersurface carries at least one symmetric periodic orbit. Under some suitable pinching conditions, we also get an existence result of multiple symmetric periodic orbits.

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