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.

引用

页数：4

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