Periodic orbits and their stability in the Rössler prototype-4 system

Isaac A. García, Jaume Llibre, Susanna Maza

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)


For the Rössler prototype-4 system ẋ=-y-z, ẏ=x, ż=αy(1-y)-βz we prove the existence of periodic orbits and study their stability or instability. The main tool for proving these results is the averaging theory. Recently the existence of some of these periodic orbits were detected numerically. © 2012 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)2234-2237
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number33
Publication statusPublished - 2 Jul 2012


  • Averaging theory
  • Periodic orbit
  • Rössler system


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