EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS

被引：2

作者：

Phan, Chi ^{[1
]}

You, Yuncheng ^{[2
]}

机构：

[1] Sam Houston State Univ, Dept Math & Stat, Huntsville, TX 77340 USA

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 05期

关键词：

Diffusive Hindmarsh-Rose equations; exponential attractor; squeezing property; compact absorbing set; finite fractal dimension; MINIMAL MODEL; DYNAMICS; OSCILLATIONS;

D O I：

10.11948/20190321

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain in the study of neurodynamics is proved through uniform estimates and a new theorem on the squeezing property of the abstract reaction-diffusion equation established in this paper. This result on the exponential attractor infers that the global attractor whose existence has been proved in [22] for the diffusive Hindmarsh-Rose semiflow has a finite fractal dimension.

引用

页码：2036 / 2057

页数：22

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