Piecewise smooth vector fields in R-3 at infinity

Autor(es)

Pessoa, Claudio ^[1] ; Tonon, Duval J. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, IBILCE, BR-15054000 Sao Paulo - Brazil

^[2] Univ Fed Goias, IME, BR-74001970 Goiania, Go - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 427, n. 2, p. 841-855, JUL 15 2015.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 11/13152-8 - Teoria qualitativa de campos de vetores polinomiais
• Beneficiário: Cláudio Gomes Pessoa
• Modalidade de apoio: Auxílio à Pesquisa - Regular