Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems

Murilo R. Cândido, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

© 2018 World Scientific Publishing Company. We provide new results in studying a kind of stability of periodic orbits provided by the higher-order averaging theory. Then, we apply these results to determining the k-hyperbolicity of some periodic orbits of the Lorenz and Thomas differential systems.
Original languageEnglish
Article number1830007
JournalInternational Journal of Bifurcation and Chaos
Volume28
Issue number3
DOIs
Publication statusPublished - 1 Mar 2018

Keywords

  • Averaging theory
  • Lorenz system
  • Thomas system
  • circulant system
  • stability of periodic orbit

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