Coupled systems of non-smooth differential equations

Autor(es)

Jacquemard, Alain ^[1] ; Tonon, Durval J. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Bourgogne, Inst Math Bourgogne, CNRS, UMR 5584, Dijon - France

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

• Tipo de documento: Artigo Científico
• Fonte: BULLETIN DES SCIENCES MATHEMATIQUES; v. 136, n. 3, p. 239-255, APR-MAY 2012.
• Citações Web of Science: 4

Resumo

We study the geometric qualitative behavior of a class of discontinuous vector fields in four dimensions. Explicit existence conditions of one-parameter families of periodic orbits for models involving two coupled relay systems are given. We derive existence conditions of one-parameter families of periodic solutions of systems of two second order non-smooth differential equations. We also study the persistence of such periodic orbits in the case of analytic perturbations of our relay systems. These results can be seen as analogous to the Lyapunov Centre Theorem. (C) 2012 Elsevier Masson SAS. All rights reserved. (AU)

• Processo FAPESP: 07/56163-4 - Singularidades típicas de campos de vetores descontínuos
• Beneficiário: Durval José Tonon
• Modalidade de apoio: Bolsas no Brasil - Doutorado