Periodic orbits of perturbed elliptic oscillators in 6D via averaging theory

Fatima Ezzahra Lembarki, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

© 2016, Springer Science+Business Media Dordrecht. We provide sufficient conditions on the energy levels to guarantee the existence of periodic orbits for the perturbed elliptic oscillators in 6D using the averaging theory. We give also an analytical estimation of the shape of these periodic orbits parameterized by the energy. The Hamiltonian system here studied comes either from the analysis of the galactic dynamics, or from the motion of the atomic particles in physics.
Original languageEnglish
Article number340
JournalAstrophysics and Space Science
Volume361
Issue number10
DOIs
Publication statusPublished - 1 Oct 2016

Keywords

  • Averaging theory
  • Galactic dynamics
  • Periodic orbits
  • Perturbed elliptic oscillators

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