Asymptotic stability and bifurcations of 3D piecewise smooth vector fields

作者：Carvalho Tiago^*; Teixeira Marco Antonio^*; Tonon Durval Jose^*

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2016, 67(2): UNSP 31.

DOI：10.1007/s00033-015-0603-1

• Piecewise smooth vector fields
• Cusp-fold singularity
• Asymptotic stability

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 Z(lambda) of Filippov systems and address the persistence problem for the asymptotic stability when the parameter varies near the bifurcation value lambda = 0.

• 出版日期2016-4