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【数理】How to Prove Shilnikov Chaos for Chemostat Model

发布日期: 2016/12/15  作者: 网站 管理员   浏览次数: 788   返回


 

时间:1219日(周一)900-1000
地点:3号楼3楼会议室
主讲人:Bo Deng教授,University of Nebraska-Lincoln
题目:How to Prove Shilnikov Chaos for Chemostat Model

摘要:A classical chemostat model was known to exhibit complex dynamics more than 20 years ago. It is still an open problem to prove the existence of chaos analytically. In this talk I will present a numerical proof for the problem. This is to be done by first finding a plausible parameter region through singular perturbation analysis of a modified model, and then finding a Shilnikov's saddle-focus homoclinic orbit, which is chaos generating, for the non-modified model by a shooting algorithm. We will also discuss Shilnikov's classical result and talk about possible application of our numerical method to other ecological and epidemiological models. 

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