LONGTIME BEHAVIOR FOR THE ACTIVATOR-INHIBITOR MODEL

被引：0

作者：

WU JianhuaDepartment of Mathematics Shaanxi Normal University Xian ChinaHUANG AixiangDepartment of Mathimatics Xian Jiaotong University Xian China ^{[710062
,710049
]}

机构：

来源：

Systems Science and Mathematical Sciences | 2000年 / 03期

关键词：

Maximal attractor; estimate of dimension; inertial manifold; activatorinhibitor model;

D O I：

暂无

中图分类号：

O231.2 [非线性控制系统];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

The paper first discusses the longtime behavior of the activator-inhibitor model, the existence of the maximal attractor is given. Then using the mathematical induction and the properties of linear semigroup, the regularity result for the maximal attractor is obtained. Next, it is proved that its Hausdorff or fractal dimension is finite.Finally, further estimates are verilied by Rothe's inequality and fractional operators, and the existence of inertial manifold is then proved.

引用

页码：285 / 291

页数：7