Stability conditions for reversible and partially integrable systems
Abstract
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.
How to cite this document
Buzzi, Claudio A.; Roberto, Luci Any F.; Teixeira, Marco A.. Stability conditions for reversible and partially integrable systems. Portugaliae Mathematica, v. 78, n. 1, p. 43-63, 2021. Available at: <http://hdl.handle.net/11449/223389>.
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English
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