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开关间歇性的大偏差性质

Large deviation properties of on-off intermittency.

作者信息

Suetani H, Horita T

机构信息

Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jul;60(1):422-8. doi: 10.1103/physreve.60.422.

DOI:10.1103/physreve.60.422
PMID:11969778
Abstract

The large deviation property of on-off intermittency is investigated by introducing a two-dimensional piecewise linear map, which can be mapped to an infinite Markov chain. It is shown that nonanalyticity, in the q-weighted average of the portion of time spent in burst state, appears as a second-order phase transition for an interval of control parameter with the bifurcation point of on-off intermittency as its end point.

摘要

通过引入一个二维分段线性映射来研究开关间歇性的大偏差性质,该映射可被映射到一个无限马尔可夫链。结果表明,在爆发状态下所花费时间部分的q加权平均值中的非解析性,作为控制参数区间内的二阶相变出现,其端点为开关间歇性的分岔点。

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