On the limit cycles bifurcating from two-dimensionalisochronous cylinder

Li Shimin; Zhao Yulin

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On the limit cycles bifurcating from two-dimensionalisochronous cylinder

Li Shimin 1, Zhao Yulin 2

1. School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou, 510320, P.R.China

2. Department of Mathematics, Sun Yat-senUniversity, Guangzhou, 510275, P.R.China

*Correspondence author

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Funding: none

Opened online: 8 November 2013

Accepted by: none

Citation: Li Shimin, Zhao Yulin.On the limit cycles bifurcating from two-dimensionalisochronous cylinder[OL]. [ 8 November 2013] http://en.paper.edu.cn/en_releasepaper/content/4567743

In thispaper, we correct the displacement function which given by Theorem 2of the paper [J. Llibre, M. Teixeira, 2009]. We also obtain theexact number of limit cycles which can bifurcate from periodicorbits of this system.

Keywords:Limit cycle; Periodic orbit; Isochronous center; Averaging method.

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