Periodic orbits near a heteroclinic loop formed by one-dimensional orbit and a two-dimensional manifold: Application to the charged collinear three-body problem

Jaume Llibre, Daniel Paşca

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This paper is devoted to the study of a type of differential systems which appear usually in the study of the Hamiltonian systems with two degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. AU these periodic orbits pass near to the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collinear three-body problem. © World Scientific Publishing Company.
Original languageEnglish
Pages (from-to)2175-2183
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume17
DOIs
Publication statusPublished - 1 Jan 2007

Keywords

  • Charged 3-body problem
  • Heteroclinic loop
  • Periodic orbits

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