An ultimate bound on the trajectories of the Lorenz system and its applications

被引：71

作者：

Pogromsky, AY

Santoboni, G

Nijmeijer, H

机构：

[1] Eindhoven Univ Technol, Dept Elect Engn, NL-5600 MB Eindhoven, Netherlands

[2] Univ Cagliari, Dipartimento Fis, I-09042 Cagliari, Italy

来源：

NONLINEARITY | 2003年 / 16卷 / 05期

关键词：

D O I：

10.1088/0951-7715/16/5/303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new bound on the trajectories of the Lorenz system is derived. This result is useful to show that the transverse stability of the origin in two Lorenz systems coupled in a drive-response manner is a necessary and sufficient condition for global asymptotic synchrony of the two systems, and to simplify the derivation of the upper bound to the Hausdorff dimension of the Lorenz attractor.

引用

页码：1597 / 1605

页数：9

共 9 条

[1] From attractor to chaotic saddle: A tale of transverse instability [J].