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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Demuner, D. P. [1] ; Federson, M. [1] ; Gutierrez, C. [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 25, n. 2, p. 495-509, OCT 2009.
Web of Science Citations: 3
Abstract

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)

FAPESP's process: 08/02879-1 - Functional differential equations with delay and impulses
Grantee:Márcia Cristina Anderson Braz Federson
Support Opportunities: Regular Research Grants