The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems

Juan Castillo, Jaume Llibre, Fernando Verduzco

Research output: Contribution to journalArticleResearchpeer-review

10 Citations (Scopus)

Abstract

© 2017, Springer Science+Business Media B.V. The creation or destruction of a crossing limit cycle when a sliding segment changes its stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we find an unfolding for such bifurcation, and we prove the existence and uniqueness of a crossing limit cycle for this family.
Original languageEnglish
Pages (from-to)1829-1840
JournalNonlinear Dynamics
Volume90
Issue number3
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • Discontinuous piecewise linear differential systems
  • Pseudo-Hopf bifurcation
  • Sliding segment
  • Unfolding

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