Construction of symbolic dynamics from experimental time series

被引：102

作者：

Mischaikow, K ^{[1
]}

Mrozek, M

Reiss, J

Szymczak, A

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Uniwersytet Jagiellonski, Inst Informat, PL-30072 Krakow, Poland

[3] Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.82.1144

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Symbolic dynamics play a central role in the description of the evolution of nonlinear systems. Yet there are few methods for determining symbolic dynamics of chaotic data. Using data obtained from a magnetoelastic ribbon experiment we show how a topological approach that allows for experimental error and bounded noise can be used to obtain a description of the dynamics in terms of subshift dynamics on a finite set of symbols. [S0031-9007(99)08415-X].

引用

页码：1144 / 1147

页数：4

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