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
收藏
页码：1144 / 1147
页数：4
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