Uniform isochronous cubic and quartic centers: Revisited

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:313

Article

Artes, Joan C.¹  Itikawa, Jackson²  Llibre, Jaume¹ 

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Univ Sao Paulo, Dept Matemat, BR-13566590 Sao Paulo, Brazil

关键词: Polynomial vector field;    Periodic orbit;    Uniform isochronous center;   

DOI  :  10.1016/j.cam.2016.09.018

来源: Elsevier

【 摘 要 】

In this paper we completed the classification of the phase portraits in the Poincare disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for the uniform isochronous cubic and quartic centers respectively. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free