Construction of symbolic dynamics from experimental time series
Construction of symbolic dynamics from experimental time series
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DOI：
10.1103/physrevlett.82.1144
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发表时间：
1999-02-08
影响因子：
8.6
通讯作者：
Szymczak, A
中科院分区：
文献类型：
--
作者：
Mischaikow, K;Mrozek, M;Szymczak, A
符号动力学在描述非线性系统的演化中起着核心作用。然而，有几种方法来确定混沌数据的符号动力学。使用从磁致弹性带状实验获得的数据，我们展示了如何拓扑的方法，允许实验误差和有界噪声可以用来获得一个有限的符号集上的子移位动态方面的动态描述。【S0031-9007（99）08415-X】。
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].