Asymptotic stability and bifurcations of 3D piecewise smooth vector fields

Artículos de revistas

Fecha

2016-04-01

Registro en:

Zeitschrift fur Angewandte Mathematik und Physik, v. 67, n. 2, 2016.

0044-2275

http://hdl.handle.net/11449/168549

10.1007/s00033-015-0603-1

2-s2.0-84962735801

2-s2.0-84962735801.pdf

Autor

Universidade Estadual Paulista (Unesp)

Universidade Estadual de Campinas (UNICAMP)

Universidade Federal de São Carlos (UFSCar)

IME-UFG

Institución

Universidade Estadual Paulista (Brasil)

Resumen

The paper deals with the analysis of the behavior of a nonsmooth three-dimensional vector field around a typal singularity. We focus on a class of generic one-parameter families (Formula presented.) of Filippov systems and address the persistence problem for the asymptotic stability when the parameter varies near the bifurcation value (Formula presented.).

Materias

Asymptotic stability

Cusp-fold singularity

Piecewise smooth vector fields

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