Constructing dynamical systems with specified symbolic dynamics

被引：18

作者：

Hirata, Y ^{[1
]}

Judd, K ^{[1
]}

机构：

[1] Univ Western Australia, Sch Math & Stat, Nedlands, WA 6009, Australia

来源：

CHAOS | 2005年 / 15卷 / 03期

关键词：

D O I：

10.1063/1.1944467

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we demonstrate how to construct signals (time series) of continuous-time dynamical systems that exhibit a given symbolic dynamics. This is achieved without construction of the ordinary differential equations that generate the flow. This construction is of theoretical interest and is useful as a source of dynamical data that can be used to test various data analysis algorithms. (C) 2005 American Institute of Physics.

引用

页数：6

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