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Predator-Prey Dynamics, Canard Cycles and Hilbert's 16th Problem
发布时间: 2017-06-12     12:22   【返回上一页】 发布人:Huaiping Zhu


 北京师范大学数学科学学院

 

周五公众报告

 

 

 

 

报告题目:Predator-Prey Dynamics, Canard Cycles and Hilbert's 16th Problem

 

报告人:Prof. Huaiping Zhu  

 (York University)

 

时间地点:2017616日下午4:00-5:00, 后主楼1220

 

 

邀请人:赵丽琴  教授

 

 

 

报告摘要:In this talk, I will start with a predator-prey type of system to present the limit cycles and their bifurcations, including canard cycles (fast-slow oscillations) and their cyclicity as well as fast-slow dynamics. I will then use the simple model to reveal the two types of mechanisms of fast-slow dynamics in the system. 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 for quadratic vector fields.

 

 

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