学术报告预告(九)

人:王继华

报告时间:20161013日(周四)1500-1600

报告地点:理科楼229

参加人员:全校师生

报告题目: Bound the number of limit cycles bifurcating from the center via algebraic method

报告人简介

王继华,上海交通大学数学系获得博士学位。曾在华中农业大学理学院数学与统计学系工作,现为中山大学数学学院副研究员。主要从事常微分方程与动力系统理论及应用研究,在弱化Hilbert第十六问题,多项式代数与符号计算,种群动力学等领域,与人合作或独立在国际知名刊物如Journal of Differential Equations, SIAM Journal on Applied Mathematics, International Journal of Bifurcation and Chaos发表SCI论文多篇,作为主要完成人之一完成国家自然科学基金面上项目一项。

 

Abstract: In this talk, based on the Chebyshev criterion of Abelian integrals, we present a method of solving the deduced Semi-Algebraic system, with which we consider three problems (1) The small polynomial perturbations from Hyperelliptic Hamiltonian of degree five; (2) Unfolding of codimension three singularities with nilpotent linear parts(3) Cyclicity of period annuli of several quadratic reversible systems. The second work is joint with Jicai Huang and Changjian Liu, the third one is a joint work with Yulin Zhao.