CLASSIFICATION OF STRANGE ATTRACTORS BY INTEGERS

被引：136

作者：

MINDLIN, GB ^{[1
]}

HOU, XJ ^{[1
]}

SOLARI, HG ^{[1
]}

GILMORE, R ^{[1
]}

TUFILLARO, NB ^{[1
]}

机构：

[1] BRYN MAWR COLL,DEPT PHYS,BRYN MAWR,PA 19010

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 64卷 / 20期

关键词：

D O I：

10.1103/PhysRevLett.64.2350

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show how to characterize a strange attractor by a set of integers. These are extracted from the chaotic time-series data by first reconstructing the low-period orbits and then determining the template, or knot holder, which supports all periodic orbits embedded in the strange attractor, and the strange attractor itself. The template is identified by a set of integers which therefore characterize the strange attractor. This identification is explicitly demonstrated for the Pirogon using a relatively small data set (5000 points). © 1990 The American Physical Society.

引用

页码：2350 / 2353

页数：4

共 25 条

[1] SCALING STRUCTURE OF STRANGE ATTRACTORS [J].