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Página principal > Artículos > Artículos publicados > Topological classification of limit periodic sets of polynomial planar vector fields |
Fecha: | 2019 |
Resumen: | 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. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Materia: | Limit periodic sets ; Ordinary differential equations ; Semi-algebraic sets |
Publicado en: | Publicacions matemàtiques, Vol. 63 Núm. 1 (2019) , p. 105-123 (Articles) , ISSN 2014-4350 |
19 p, 430.9 KB |