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 in Applied Sciences and Engineering
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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