Phase portraits for quadratic homogeneous polynomial vector fields on

J Llibre, C Pessoa - Rendiconti del Circolo Matematico di Palermo, 2009 - Springer
Let X be a homogeneous polynomial vector field of degree 2 on S^ 2. We show that if X has
at least a non-hyperbolic singularity, then it has no limit cycles. We give necessary and …

A class of reversible quadratic polynomial vector fields on S2

WF Pereira, C Pessoa - Journal of mathematical analysis and applications, 2010 - Elsevier
A class of reversible quadratic polynomial vector fields on S2 Page 1 J. Math. Anal. Appl. 371
(2010) 203–209 Contents lists available at ScienceDirect Journal of Mathematical Analysis …

[HTML][HTML] On the reversible quadratic polynomial vector fields on S2

WF Pereira, C Pessoa - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
We study a class of quadratic reversible polynomial vector fields on S2 with (3, 2)-type
reversibility. We classify all isolated singularities and we prove the nonexistence of limit …

[PDF][PDF] ON THE REVERSIBLE QUADRATIC POLYNOMIAL VECTOR FIELDS ON S 2

CG Pessoa, WF Pereira - gsd.uab.cat
We study a class of quadratic reversible polynomial vector fields on S 2 with (3, 2)-type
reversibility. We classify all isolated singularities and we prove the nonexistence of limit …

[引用][C] A FAMILY OF QUADRATIC POLYNOMIAL VECTOR FIELDS ON S2 WITH (3, 2)-TYPE REVERSIBILITY

[引用][C] Dynamics in a class of reversible quadratic polynomial vector fields on S2

C Pessoa, WF Pereira