| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] UNESP IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] UNICAMP IMECC, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | PORTUGALIAE MATHEMATICA; v. 78, n. 1, p. 43-63, 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |