Artículos de revistas
Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
Fecha
2021-07-01Registro en:
Qualitative Theory of Dynamical Systems, v. 20, n. 2, 2021.
1662-3592
1575-5460
10.1007/s12346-021-00491-9
2-s2.0-85107135960
Autor
Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
Institución
Resumen
The main goal of this paper is to present the behavior generated by piecewise smooth vector fields tangent to foliations. We consider two smooth foliations F1 and F2 that are coupled to produce a foliation composed by nested topological tori. Moreover, a piecewise smooth vector field composed of periodic orbits and tangent to these tori is considered. We perturb this piecewise vector field (and, consequently, the foliations) and the birth of either finite or infinitely many limit cycles for the 3D piecewise smooth vector field is observed.