Hopf bifurcation of a generalized Moon-Rand system

Jaume Llibre, Clàudia Valls

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)


© 2014 Elsevier B.V. We study the Hopf bifurcation from the equilibrium point at the origin of a generalized Moon-Rand system. We prove that the Hopf bifurcation can produce 8 limit cycles. The main tool for proving these results is the averaging theory of fourth order. The computations are not difficult, but very big and have been done with the help of Mathematica and Mapple.
Original languageEnglish
Pages (from-to)1070-1077
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number3
Publication statusPublished - 1 Jan 2015


  • Averaging theory
  • Hopf bifurcation
  • Moon-Rand systems


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