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.
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页数：11
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