报告题目：A sufficient and necessary condition of generalized polynomial Lienard systems with global centers
报 告 人：陈和柏
工作单位：中南大学数学与统计学院
报告时间：2022-10-20 14:30-17:30
腾讯会议ID：935 163 905
报告摘要：
The aim of this paper is to give a sufficient and necessary condition of the generalized polynomial Lienard system with a global center (including linear type and nilpotent type). Recently, Llibre and Valls [J. Differential Equations, 330 (2022),66-80] gave a sufficient and necessary condition of the generalized polynomial Lienard system with a linear type global center. It is easy to see that our sufficient and necessary condition is more easy by comparison. In particular, we provide the explicit expressions of all the generalized polynomial Lienard differential systems of degree 5 having a global center at the origin and the explicit expression of a generalized polynomial Lienard differential system of indefinite degree having a global center at the origin.
报告人简介：
陈和柏, 博士, 教授、博士生导师, 从事微分方程与动力系统的教学和研究, 主要研究光滑及非光滑微分方程的定性理论与分岔理论。获四川大学数学学士和硕士学位、西南交通大学力学博士学位，之后应邀赴英国帝国理工学院、诺丁汉大学短访。在Nonlinearity, J. Differential Equations, Journal of Nonlinear Science, Physica D, Proccedings of the American Mathematical Society, Bulletin des Sciences Mathématiques, Quaterly of Applied Mathematics等国际重要期刊以一作或通讯身份发表SCI学术论文40多篇；主持了相关的国家面上和青年基金。2017年评为福州大学旗山学者，2019年评为福建省高层次引进人才。现任中南大学分析数学及其应用省重点实验室副主任。
