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Periodic solutions of a class of Hamiltonian systems with singularities

Published online by Cambridge University Press:  14 November 2011

Antonio Ambrosetti  and
Ivar Ekeland
Antonio Ambrosetti
Affiliation:
Scuola Normale Superiore, Pisa, 56100, Italy
Ivar Ekeland
Affiliation:
CERCEEMADE, Université Paris Dauphine, UA CNRS n. 749, France
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Synopsis

This paper deals with a class of time-periodic Hamiltonian systems obtained by a time-dependent perturbation from an autonomous system with a singularity at q = 0 in configuration space. It is shown that, T being the period of the perturbation, nondegenerate families of T-periodic orbits in the unperturbed problem branch off into a certain number of T-periodic orbits for the perturbed problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 114 , Issue 1-2 , 1990 , pp. 1 - 13
Copyright
Copyright © Royal Society of Edinburgh 1990

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