Constructing dynamical systems with specified symbolic dynamics

Y. Hirata, Kevin Judd

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)online - approx 5-20pp
JournalChaos
Volume15
Issue number3
DOIs
Publication statusPublished - 2005

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