Stability conditions for reversible and partially integrable systems

Autor(es)

Buzzi, Claudio A. ^[1] ; Roberto, Luci Any F. ^[1] ; Teixeira, Marco A. ^[2]

Afiliação do(s) autor(es)

^[1] UNESP IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

^[2] UNICAMP IMECC, BR-13081970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PORTUGALIAE MATHEMATICA; v. 78, n. 1, p. 43-63, 2021.
• Citações Web of Science: 0

Resumo

The purpose of this paper is to provide results like Peixoto's Theorem inside a class X of 3-dimensional reversible systems. We deal with reversible systems associated to an involution phi(1) such that Dim Fix(phi(1)) is equal to one. We further assume the existence of a first integral for any X is an element of X that leaves invariant any sphere centered at the origin. The main result establishes generic necessary conditions for the structural stability in X. Stability conditions on generic one-parameter families of reversible vector fields on the two-dimensional sphere are also stated. (AU)

• Processo FAPESP: 12/18780-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Marco Antônio Teixeira
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/24541-0 - Teorias ergódica e qualitativa dos sistemas dinâmicos
• Beneficiário: Claudio Aguinaldo Buzzi
• Modalidade de apoio: Auxílio à Pesquisa - Temático