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
收藏
页码：2036 / 2057
页数：22
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