THE POINCARE-BENDIXSON THEOREM ON THE KLEIN BOTTLE FOR CONTINUOUS VECTOR FIELDS

Autor(es)

Demuner, D. P. ^[1] ; Federson, M. ^[1] ; Gutierrez, C. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 25, n. 2, p. 495-509, OCT 2009.
• Citações Web of Science: 3

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. (AU)

• Processo FAPESP: 08/02879-1 - Equações diferenciais funcionais com retardos e impulsos
• Beneficiário: Márcia Cristina Anderson Braz Federson
• Linha de fomento: Auxílio à Pesquisa - Regular