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

Demuner, D. P.; Federson, M.; Gutierrez, C.

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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

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