One-dimensional reaction-diffusion dynamics in spatially bounded domains

被引：2

作者：

Sarnari, Francesco ^{[1
,2
]}

机构：

[1] Univ Pisa, Italian Natl Res Council, Phys Dept, CNR, Pisa, Italy

[2] Univ Siena, Biophys Inst, Sch Informat Engn & Math Sci, Siena, Italy

来源：

CHAOS SOLITONS & FRACTALS | 2020年 / 131卷

关键词：

FRONT PROPAGATION; PATTERN-FORMATION; TRAVELING PULSES; NEURAL-NETWORKS; MODEL; STABILITY; STATES; EXISTENCE; EQUATIONS; WAVES;

D O I：

10.1016/j.chaos.2019.109490

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the complex dynamics arising in a one-dimensional advection-reaction-diffusion system along with its bistable cubic variant. In both cases, we analyze the dynamics in a bounded domain, assuming, first, Robin, and then periodic boundaries. We study the stability of the solutions obtained and suggest eventual implications in the experimental study of chemical waves as well as in a simplified description of cardiac electric signal propagation. (C) 2019 Published by Elsevier Ltd.

引用

页数：11

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