Stability conditions for reversible and partially integrable systems
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Data
2021-01-01
Autores
Buzzi, Claudio A. [UNESP]
Roberto, Luci Any F. [UNESP]
Teixeira, Marco A.
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Resumo
The purpose of this paper is to provide results like Peixoto’s Theorem inside a class (Formula presented) of 3-dimensional reversible systems. We deal with reversible systems associated to an involution φ1 such that Dim Fix(φ1) is equal to one. We further assume the existence of a first integral for any X ∈ (Formula presented) that leaves invariant any sphere centered at the origin. The main result establishes generic necessary conditions for the structural stability in (Formula presented). Stability conditions on generic one-parameter families of reversible vector fields on the two-dimensional sphere are also stated.
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integrability, Peixoto’s Theorem, reversible systems, Structural stability
Como citar
Portugaliae Mathematica, v. 78, n. 1, p. 43-63, 2021.