报 告 人:熊艳琴博士
主 持 人: 鲁世平教授
报告时间:2017年11月1日 13:30-14:30
报告地点:尚贤楼108报告厅
报告题目:The number of limit cycles of a perturbed polynomial systems with multiple circles of critical points
报告摘要:In this talk, we investigate the problem for limit cycle bifurcations of system $/dot{x}=yF(x,y)+/varepsilon p(x,y),~/dot{y}=-xF(x,y)+/varepsilon q(x,y)$, where $F(x,y)$ consists of multiple circles and $p(x,y),q(x,y)$ are polynomials of degree $n$. The upper bound for the maximal number of limit cycles emerging from the period annulus surrounding the origin is provided in terms of $n$ and the involved multiplicities of circles by using the first order Melnikov function. Furthermore, Hopf bifurcation for a cubic system of this type is discussed.
报告人简介:熊艳琴,女,师从著名方程学家上海师范大学韩茂安教授获博士学位。在微分方程主流SCI杂志Journal of Differential Equations等发表论文18篇。于2016年6月入职南京信息工程大学数学与统计学院。入职以来,获得国家自然科学青年基金、江苏省青年科学基金,江苏省省高校面上项目资助。
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数学与统计学院
2017年10月31日