On the reversible quadratic polynomial vector fields on S2

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Pereira, Weber F.¹  Pessoa, Claudio¹ 

[1] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

关键词: Reversible polynomial vector fields;    Centers;    Limit cycles;    Phase portrait;   

DOI  :  10.1016/j.jmaa.2012.06.036

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free