Poincaré Bifurcations of Two Classes of Polynomial Systems

Abstract and Applied Analysis

Research Article

Shuliang Shui¹  Jing Wang¹ 

[1] College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China, zjnu.edu.cn

Others  :  1297602
DOI  :  10.1155/2013/861329

 received in 2013-05-24, accepted in 2013-06-27,  发布年份 2013

【 摘 要 】

Using bifurcation methods and the Abelian integral, we investigate the number of the limit cycles that bifurcate from the period annulus of the singular point when we perturb the planar ordinary differential equations of the form ẋ=-yC(x,y), ẏ=xC(x,y) with an arbitrary polynomial vector field, where C(x,y)=1-x3 or C(x,y)=1-x4.

【 授权许可】

CC BY   
Copyright © 2013 Jing Wang and Shuliang Shui. 2013

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