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Abstract and Applied Analysis
Volume 2014, Article ID 482450, 11 pages
Research Article

The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems

Department of Mathematics, Hunan Shaoyang University, Shaoyang, Hunan 422000, China

Received 19 February 2014; Revised 5 April 2014; Accepted 5 April 2014; Published 29 April 2014

Academic Editor: Tonghua Zhang

Copyright © 2014 Du Chaoxiong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study a class of quasi symmetric seventh degree systems and obtain the conditions that its two singular points can be two centers at the same step by careful computing and strict proof. In addition, the condition of an isochronous center is also given. In terms of quasi symmetric systems, our work is interesting and obtained conclusions about bicenters are new.