Pseudo-Hopf Bifurcation for a Class of 3D Filippov Linear Systems

José Manuel Islas, Juan Castillo, Baltazar Aguirre-Hernandez, Fernando Verduzco

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Abstract

We consider a nongeneric family of 3D Filippov linear systems with a discontinuity plane that have two parallel tangency lines, such that the region between them is the sliding region. We are interested in finding under what conditions the family has a crossing limit cycle, when the sliding region changes its stability. We call this phenomenon the pseudo-Hopf bifurcation. This class of systems is motivated by piecewise-linear control systems which have not yet been treated in the context of crossing limit cycles.

Original languageEnglish
Article number2150025
JournalInternational Journal of Bifurcation and Chaos
Volume31
Issue number2
DOIs
StatePublished - Feb 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Keywords

  • Filippov systems
  • Pseudo-Hopf bifurcation
  • crossing limit cycle

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