On the reversible quadratic polynomial vector fields on S-2

Pereira, Weber F. [UNESP]Pessoa, Claudio [UNESP]2014-05-202014-05-202012-12-15Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 396, n. 2, p. 455-465, 2012.0022-247Xhttp://hdl.handle.net/11449/22153We 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 B.V. All rights reserved.455-465engReversible polynomial vector fieldsCentersLimit cyclesPhase portraitOn the reversible quadratic polynomial vector fields on S-2Artigo10.1016/j.jmaa.2012.06.036WOS:000315246900005Acesso restrito37249378865574240000-0001-6790-1055