讲座题目:Integrability and analytical integrability of Lienard systems with a weak focus or saddle
主 讲 人:李锋 教授(临沂大学)
讲座时间:2026年7月1日(周三)上午10:30
讲座地点:钱伟长楼 201会议室
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数学与数据科学学院
2026年6月27日
讲座内容简介:In this paper, integrability of Lienard systems with a weak focus or saddle is discussed at first. The focal values is defined and a new method is given to classify the integrability conditions for an elementary focus or saddle. As applications, two systems are investigated, integrability conditions are obtained. Lienard system with many elementary weak singular points are also discussed, the maximum number of limit cycles bifurcated from the elementary focus or saddles are obtained. A new method is given to classify the analytical integrability conditions for Lienard systems with an nilpotent focus or saddle. As applications, two systems are investigated, integrability and analytical integrability conditions are obtained.
主讲人简介:李锋,临沂大学数学与统计学院教授,硕士生导师,韩国水原大学兼职博士生导师,美国《数学评论》评论员。2014年,受国家留学基金资助,赴加拿大西安大略大学访学一年。在JDE、中国科学、Nonlinear analysis等杂志发表论文50余篇。先后主持(含完成)国家自然科学基金3项、山东省自然科学基金3项。