Artículos de revistas
Regularization of saddle-fold singularity for nonsmooth differential systems
Fecha
2019-06-15Registro en:
Journal of Mathematical Analysis and Applications, v. 474, n. 2, p. 1036-1048, 2019.
1096-0813
0022-247X
10.1016/j.jmaa.2019.02.003
2-s2.0-85061363739
6682867760717445
0000-0003-2037-8417
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.