Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems

Tlago De Carvalho, Rodrigo Donizete Euzebio, Jaume Llibre, Durval Jose Tonon

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

Using the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in [3]. All these differential systems depend only on one-parameter.
Original languageEnglish
Pages (from-to)1-11
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume21
Issue number1
DOIs
Publication statusPublished - 1 Jan 2016

Keywords

  • Averaging theory
  • Chaotic systems
  • Limit cycles
  • Periodic solutions
  • Quadratic polynomial differential system

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