Regularization of saddle-fold singularity for nonsmooth differential systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Buzzi, Claudio A.¹  Santos, Robson A. T.¹ 

[1] IBILCE UNESP, BR-15054000 S J Rio Preto, SP, Brazil

关键词: Vector fields;    Bifurcations;    Nonsmooth vector fields;   

DOI  :  10.1016/j.jmaa.2019.02.003

来源: Elsevier

【 摘 要 】

This paper is concerned with the saddle-fold singularity that is a codimension two singularity for piecewise smooth planar differential systems. The approach consists in apply the Regularization's Method to the unfolding of the saddle-fold singularity in order to obtain a 2-parameter family of smooth vector fields. Our main result says that the regularized family undergoes thought a classical Bogdanov-Takens bifurcation. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free