Piecewise smooth vector fields in R-3 at infinity

Pessoa, Claudio; Tonon, Duval J.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Piecewise smooth vector fields in R-3 at infinity

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Author(s):	Pessoa, Claudio ^[1] ; Tonon, Duval J. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Estadual Paulista, IBILCE, BR-15054000 Sao Paulo - Brazil ^[2] Univ Fed Goias, IME, BR-74001970 Goiania, Go - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Mathematical Analysis and Applications; v. 427, n. 2, p. 841-855, JUL 15 2015.
Web of Science Citations:	0
Abstract
In this work we study the dynamics at infinity of a piecewise smooth vector fields in R-3. We provide conditions for the 24-parameter family to undergo a local bifurcations of codimension zero and one at infinity. These results can be useful to understand the global dynamics of piecewise smooth vector fields. In addition, we apply our results to two families of systems from control theory, in one of them studying the existence of limit cycles at infinity. (C) 2015 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	11/13152-8 - Qualitative theory of polynomial vector fields
Grantee:	Cláudio Gomes Pessoa
Support Opportunities:	Regular Research Grants

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