How does a choice of Markov partition affect the resultant symbolic dynamics?

Teramoto, Hiroshi; Komatsuzaki, Tamiki

Chaos, 2010, 20(3), 037113

Permalink : https://hdl.handle.net/2115/44123

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アクセス権
open access
URI
https://hdl.handle.net/2115/44123
タイトル
How does a choice of Markov partition affect the resultant symbolic dynamics?
著者
著者名
Teramoto, Hiroshi
著者名
Komatsuzaki, Tamiki
言語
英語
キーワード
Markov processes
nonlinear dynamical systems
time series
発行日
2010-09
出版者
American Institute of Physics
収録物名
Chaos
巻(号)
20(3)
ページ
037113
抄録
The mutual relationship among Markov partitions is investigated for one-dimensional piecewise monotonic map. It is shown that if a Markov partition is regarded as a map-refinement of the other Markov partition, that is, a concept we newly introduce in this article, one can uniquely translate a set of symbolic sequences by one Markov partition to those by the other or vice versa. However, the set of symbolic sequences constructed using Markov partitions is not necessarily translated with each other if there exists no map-refinement relation among them. By using a roof map we demonstrate how the resultant symbolic sequences depend on the choice of Markov partitions.
資源タイプ
学術雑誌論文
出版タイプ
Version of Record
権利情報
Copyright 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Chaos 20, 037113 (2010) and may be found at https://dx.doi.org/10.1063/1.3491097
PISSN
1054-1500
関連情報
PMID
20887079
関連情報 (isIdenticalTo)
出版社版DOI
https://doi.org/10.1063/1.3491097