Canard Traveling Waves in a Reaction-Diffusion Model

被引：0
|
作者：
Shchepakina, Elena [1 ]
机构：
[1] Samara Natl Res Univ, Dept Tech Cybernet, Samara, Russia
来源：
2020 VI INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND NANOTECHNOLOGY (IEEE ITNT-2020) | 2020年
关键词：
critical traveling waves; invariant manifold; canard; reaction-diffusion model; EQUATIONS; SYSTEM;
D O I：
10.1109/ITNT49337.2020.9253177
中图分类号：
TP7 [遥感技术];
学科分类号：
081102 ; 0816 ; 081602 ; 083002 ; 1404 ;
摘要：
The paper deals with the canard traveling waves in a reaction-diffusion model. The use of the geometric theory of invariant manifolds allows us to simplify the traveling wave problem of the original PDE system. We are focused on point-to-periodic traveling waves. It is shown that the profile of such waves is a canard. Canard traveling waves are critical waves since they separate waves with qualitatively different behaviors.
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