Volume 3, Number 3, 2013, Pages 279-290 DOI:10.11948/2013020 |
The cyclicity of the period annulus of two classes of cubic isochronous systems |
Yi Shao,Kuilin Wu |
Keywords:Isochronous center |
Abstract: |
In this paper, we investigate the cyclicity of the period annulus of two classes of cubic isochronous systems.By using the Chebyshev criterion, we prove that the two systems have respectively at most three and four limit cycles produced fromthe period annulus around the isochronous center under cubic perturbations. |
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