Global dynamics of partly diffusive Hindmarsh-Rose equations in neurodynamics

被引：0
|
作者：
Phan, Chi [1 ]
You, Yuncheng [2 ]
Su, Jianzhong [3 ]
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
[3] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
来源：
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 18卷 / 01期
关键词：
Diffusive Hindmarsh-Rose equations; neurodynamics; global attractor; absorbing property; ultimate compactness; Kolmogorov-Riesz theorem; MINIMAL MODEL; SYNCHRONIZATION; OSCILLATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Global dynamics of the partly diffusive Hindmarsh-Rose equations as a new mathematical model in neurodynamics is presented and studied in this paper. The existence of global attractor for the solution semiflow is proved through uniform estimates showing the higher-order dissipative property and the ultimate compactness by the new approach of Kolmogorov-Riesz theorem.
引用
收藏
页码：33 / 47
页数：15
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