Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor

被引：52

作者：

Hunt, TJ

MacKay, RS

机构：

[1] Open Univ, Milton Keynes MK7 6AA, Bucks, England

[2] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

来源：

NONLINEARITY | 2003年 / 16卷 / 04期

关键词：

D O I：

10.1088/0951-7715/16/4/318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First, the free frictionless dynamics of the triple linkage of Thurston and Weeks is proved to be Anosov on each positive energy level for a non-empty open set of parameter values. Second, in the presence of weak friction and any smooth potential, an open set of physically implementable feedback control laws are found for which the system possesses a uniformly hyperbolic attracting submanifold.

引用

页码：1499 / 1510

页数：12

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