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Periodic solutions of a class of Hamiltonian systems with singularities
Published online by Cambridge University Press: 14 November 2011
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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