BIRTH OF AN ARBITRARY NUMBER OF T-SINGULARITIES IN 3D PIECEWISE SMOOTH VECTOR FIELDS

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Author(s):	de Carvalho, Tiago ^[1] ; Freitas, Bruno ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP - Brazil ^[2] Univ Fed Goias, IME, Caixa Postal 131, BR-74001970 Goiania, Go - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 24, n. 9, p. 4851-4861, SEP 2019.
Web of Science Citations:	0
Abstract
The T-singularity (invisible two-fold singularity) is one of the most intriguing objects in the study of 3D piecewise smooth vector fields. The occurrence of just one T-singularity already arouses the curiosity of experts in the area due to the wealth of behaviors that may arise in its neighborhood. In this work we show the birth of an arbitrary number, including in finite, of such singularities. Moreover, we are able to show the existence of an arbitrary number of limit cycles, hyperbolic or not, surrounding each one of these singularities. (AU)

FAPESP's process:	17/00883-0 - Piecewise smooth vector fields with applications in biology
Grantee:	Tiago de Carvalho
Support Opportunities:	Regular Research Grants