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

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

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma originalInglés
Número de artículo2150025
PublicaciónInternational Journal of Bifurcation and Chaos
Volumen31
N.º2
DOI
EstadoPublicada - feb 2021

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© 2021 World Scientific Publishing Company.

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