Crossing Periodic Orbits via First Integrals

Jaume Llibre*, Durval José Tonon, Mariana Queiroz Velter

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

We characterize the families of periodic orbits of two discontinuous piecewise differential systems in 3 separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems, and the other by nonlinear differential systems.

Original languageEnglish
Article number2050163
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume30
Issue number11
DOIs
Publication statusPublished - 15 Sept 2020

Keywords

  • Discontinuous piecewise differential systems
  • first integrals
  • homoclinic orbits
  • periodic orbits

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