On the reversible quadratic polynomial vector fields on S-2

Pereira, Weber F.; Pessoa, Claudio

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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.)

On the reversible quadratic polynomial vector fields on S-2

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Author(s):	Pereira, Weber F. ^[1] ; Pessoa, Claudio ^[1] Total Authors: 2
Affiliation:	^[1] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	Journal of Mathematical Analysis and Applications; v. 396, n. 2, p. 455-465, DEC 15 2012.
Web of Science Citations:	1
Abstract
We study a class of quadratic reversible polynomial vector fields on 52 with (3, 2)-type reversibility. We classify all isolated singularities and we prove the nonexistence of limit cycles for this class. Our study provides tools to determine the phase portrait for these vector fields. (C) 2012 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	11/13152-8 - Qualitative theory of polynomial vector fields
Grantee:	Cláudio Gomes Pessoa
Support Opportunities:	Regular Research Grants

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