Complete classification on center of cubic planar systems with a line of symmetry

发布者:文明办作者:发布时间:2022-06-17浏览次数:10


主讲人:李锋 临沂大学教授


时间:2022年6月18日14:30


地点:腾讯会议 241 673 194


举办单位:数理学院


主讲人介绍:李锋,临沂大学数学与统计学院教授,硕士生导师,美国《数学评论》评论员,韩国水原大学兼职博士生导师。2012年于中南大学数学与计算科学学院获理学博士学位。2014年,受国家留学基金资助,赴加拿大西大略大学访学一年。现主持国家自然科学基金面上项目1项。在Journal of Differential Equations, 中国科学、Nonlinear Analysis等杂志发表论文20余篇,2016年获山东省自然科学学术创新奖。


内容介绍:In this talk, bi-center and bi-isochronous center problems in cubic planar systems which are symmetric with respect to a straight line will be discussed. These systems can be transformed to ones which are symmetric with respect to the $y$-axis and have two symmetric singular points at $(\pm 1,0)$, which can be classified as elementary and nilpotent singular points. A complete classification is given on the centers, including nine conditions for elementary singular points and four conditions for nilpotent singular points. Moreover, six bi-isochronous center conditions are obtained for the elementary singular points.

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