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

页码：33 / 47

页数：15

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