Topological classification of limit periodic sets of polynomial planar vector fields
da Silva, Andre Belotto (Université Paul Sabatier. Institut de Mathématiques de Toulouse)
Espín Buendía, José Ginés (Universidad de Murcia. Departamento de Matemáticas)

Date:	2019
Abstract:	We characterize the limit periodic sets of families of algebraic planar vector fields up to homeomorphisms. We show that any limit periodic set is topologically equivalent to a compact and connected semialgebraic set of the sphere of dimension 0 or 1. Conversely, we show that any compact and connected semialgebraic set of the sphere of dimension 0 or 1 can be realized as a limit periodic set.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Limit periodic sets ; Ordinary differential equations ; Semi-algebraic sets
Published in:	Publicacions matemàtiques, Vol. 63 Núm. 1 (2019) , p. 105-123 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/347132
DOI: 10.5565/PUBLMAT6311903

19 p, 430.9 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles