Uniform isochronous cubic and quartic centers: Revisited

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摘要

In this paper we completed the classification of the phase portraits in the Poincaré 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.

论文关键词:primary,34A36,34C07,34C25,34C29,34M35,37G15,Polynomial vector field,Periodic orbit,Uniform isochronous center

论文评审过程:Received 2 May 2016, Revised 3 September 2016, Available online 17 October 2016, Version of Record 28 October 2016.

论文官网地址:https://doi.org/10.1016/j.cam.2016.09.018