中科院数学与系统科学研究院
数学研究所
动力系统研究中心
学术报告会
报告人：Prof. Huaiping Zhu（York University, Canada）
题 目： Limit cycles, bifurcations and Hilbert's 16th problem
时 间：05.18（星期一）, 16:00--17:00
地 点：数学院南楼N818室
摘 要：In this talk, I will start with predator-prey system to present the limit cycles and their bifurcations, including canard cycles and their cyclicity as well as fast-slow dynamics. I will then use the predator-prey system to introduce two types of turning points to explain the two types of mechanisms of fast-slow dynamics in mathematical biology. In the end, I will connect the finiteness part of Hilbert’s 16th problem, to explain the difficulties in dealing with the finite cyclicity of a degenerate degenerate graphics, the last challenge towards the proof of the finiteness part of Hilbert’s 16th problem.