报 告 人:王继华
报告时间:2016年10月13日(周四)15:00-16:00
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.