UNIFORM ATTRACTOR OF THE NON-AUTONOMOUS DISCRETE SELKOV MODEL

被引：4

作者：

Jia, Xiaolin ^{[1
]}

Zhao, Caidi ^{[1
]}

Cao, Juan ^{[2
]}

机构：

[1] Wenzhou Univ, Dept Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China

[2] Wenzhou Univ, Coll Teacher Educ, Wenzhou 325035, Zhejiang, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 01期

关键词：

Non-autonomous lattice dynamical system; Selkov model; Uniform attractor; Kolmogorov epsilon-entropy; Upper semicontinuity; LATTICE DYNAMICAL-SYSTEMS; COMPACT KERNEL SECTIONS; EXPONENTIAL ATTRACTORS; TRAVELING-WAVES; EXISTENCE; EQUATIONS; BEHAVIOR;

D O I：

10.3934/dcds.2014.34.229

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the asymptotic behavior of solutions for the non-autonomous lattice Selkov model. We prove the existence of a uniform attractor for the generated family of processes and obtain an upper bound of the Kolmogorov epsilon-entropy for it. Also we establish the upper semicontinuity of the uniform attractor when the infinite lattice systems are approximated by finite lattice systems.

引用

页码：229 / 248

页数：20

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