Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system

Claudio Buzzi, Jaume Llibre, João Medrado

Research output: Contribution to journalArticleResearchpeer-review

8 Citations (Scopus)

Abstract

© 2015, Springer Science+Business Media Dordrecht. We prove the existence of the classical Hopf bifurcation and of the zero-Hopf bifurcation in the Hindmarsh–Rose system. For doing this, some adequate change in parameters must be done in order that the computations become easier.
Original languageEnglish
Pages (from-to)1549-1556
JournalNonlinear Dynamics
Volume83
Issue number3
DOIs
Publication statusPublished - 1 Feb 2016

Keywords

  • Hindmarsh–Rose burster
  • Hopf bifurcation
  • Periodic solutions

Fingerprint Dive into the research topics of 'Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system'. Together they form a unique fingerprint.

Cite this