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Bifurcation of limit cycles in predator-prey models, canard cycles and Hilbert's 16th problem

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主题: Bifurcation of limit cycles in predator-prey models, canard cycles and Hilbert's  16th problem
类型: 学术报告
主办方:
报告人: Prof. Huaiping Zhu(York University)
日期: 2016年12月13日下午15:00
地点: 知新楼B1238室
内容:

报告题目:Bifurcation of limit cycles in predator-prey models, canard cycles and Hilbert's  16th problem

报 告 人:Prof. Huaiping Zhu(York University)

报告时间:2016年12月13日下午15:00

报告地点:知新楼B1238室 


Abstract: 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 reveal 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.


欢迎各位老师同学积极参加!

 

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