文章基本信息

标题：Computing center conditions for non-analytic ninth degree vector fields with constant angular speed
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作者：Qingjun Ren ; Yikun Huang ; Feng Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：231
DOI：10.1186/1687-1847-2012-231
语种：English
出版社：Hindawi Publishing Corporation
摘要：We investigate the planar ninth degree non-analytic Poincare systems which have center-focus equilibriums at the origins. Those systems could be changed into analytic systems by two transformations with the help of computer algebra system MATHEMATICA. The conditions of uniform isochronous center are obtained. Furthermore, we prove that five limit cycles could be bifurcated from the origin. MSC:34C05, 34C07.
关键词：non-analytic ; center-focus problem ; Lyapunov constant ; uniform isochronous center