CHARACTERIZATION OF THE LORENZ ATTRACTOR BY UNSTABLE PERIODIC-ORBITS

被引：30

作者：

FRANCESCHINI, V ^{[1
]}

GIBERTI, C ^{[1
]}

ZHENG, ZM ^{[1
]}

机构：

[1] BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA

来源：

NONLINEARITY | 1993年 / 6卷 / 02期

关键词：

D O I：

10.1088/0951-7715/6/2/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the chaotic attractors of the Lorenz system associated with R = 28 and R = 60 in terms of the unstable periodic orbits and their eigenvalues. While the Hausdorff dimension is approximated with very good accuracy in both cases, the topological entropy is computed, in an exact sense, only for R = 28.

引用

页码：251 / 258

页数：8

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