THE POINCARE-BENDIXSON THEOREM ON THE KLEIN BOTTLE FOR CONTINUOUS VECTOR FIELDS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
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| Resumo |
We present a version of the Poincare-Bendixson Theorem on the Klein bottle K(2) for continuous vector fields. As a consequence, we obtain the fact that K(2) does not admit continuous vector fields having a omega-recurrent injective trajectory. Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq, Brazil[142584/2005-3] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP, Brazil[2008/02879-1] |
| Identificador |
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.25, n.2, p.495-509, 2009 1078-0947 http://producao.usp.br/handle/BDPI/28836 10.3934/dcds.2009.25.495 |
| Idioma(s) |
eng |
| Publicador |
AMER INST MATHEMATICAL SCIENCES |
| Relação |
Discrete and Continuous Dynamical Systems |
| Direitos |
restrictedAccess Copyright AMER INST MATHEMATICAL SCIENCES |
| Palavras-Chave | #Continuous vector fields #Poincare-Bendixson Theorem #Klein bottle #omega-recurrent trajectory #FLOWS #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
