Attractors for a Nonautonomous Lienard Equation

被引：0

作者：

Anguiano, Maria ^{[1
]}

机构：

[1] Univ Seville, Dept Ecuaciones Diferenciales & Anal Numer, E-41080 Seville, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2015年 / 25卷 / 02期

关键词：

Lienard equation; nonautonomous equation; pullback attractor; uniform attractor; Hausdorff dimension; PULLBACK ATTRACTORS; SYSTEMS; LOCALIZATION;

D O I：

10.1142/S0218127415500327

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence of pullback and uniform attractors for a nonautonomous Lienard equation. The relation among these attractors is also discussed. After that, we consider that the Lienard equation includes forcing terms which belong to a class of functions extending periodic and almost periodic functions recently introduced by Kloeden and Rodrigues [2011]. Finally, we estimate the Hausdorff dimension of the pullback attractor. We illustrate these results with a numerical simulation: we present a simulation showing the pullback attractor for the nonautonomous Van der Pol equation, an important special case of the nonautonomous Lienard equation.

引用

页数：11