Centers and bifurcations of a switching quadratic system

CHEN Xingwu

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Centers and bifurcations of a switching quadratic system

CHEN Xingwu * #

Department of Mathematics, Sichuan University

*Correspondence author

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Funding: SRFDP Grant （No.No. 20090181120082）

Opened online:25 March 2011

Accepted by: none

Citation: CHEN Xingwu.Centers and bifurcations of a switching quadratic system[OL]. [25 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4417051

In this paper we study the center problem and the limit cycle bifurcation of switching differential systems. Computing the generalized Lyapunov constants and decomposing their variety, we obtain the center condition of a switching quadratic system. Moreover, developing Christopher's method of finding limit cycles near centers for analytic systems, we prove that there are perturbations having 9 limit cycles near the center at the origin of the considered switching quadratic system.

Keywords:Dynamical system; Center; Focus; Limit cycle; Bifurcation

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