The Lempel-Ziv complexity of 1/f spectral chaos and the infinite ergodic theory

Soya Shinkai, Yoji Aizawa

研究成果: Article

抄録

A new large deviation property for the Lempel-Ziv complexity is numerically studied by using a one-dimesional non-hyperbolic "modified Bernoulli map", where the transition between stationary and non-stationary chaos is clearly observed. We will show that the Lempel-Ziv complexity and its fluctuations obey the universal scaling laws, and that the Lempel-Ziv complexity has the L1-function property of the infinite ergodic theory. One of the most striking results is that the 1/f spectral process reveals the maximum diversity at the transition point from the stationary chaos to the non-stationary one.

元の言語English
ページ(範囲)213-214
ページ数2
ジャーナルJournal of Physics: Conference Series
31
発行部数1
DOI
出版物ステータスPublished - 2006 3 22

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chaos
transition points
scaling laws
deviation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

これを引用

The Lempel-Ziv complexity of 1/f spectral chaos and the infinite ergodic theory. / Shinkai, Soya; Aizawa, Yoji.

:: Journal of Physics: Conference Series, 巻 31, 番号 1, 22.03.2006, p. 213-214.

研究成果: Article

Shinkai, Soya ; Aizawa, Yoji. / The Lempel-Ziv complexity of 1/f spectral chaos and the infinite ergodic theory. :: Journal of Physics: Conference Series. 2006 ; 巻 31, 番号 1. pp. 213-214.
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