コジマ　　ヒロキ   Kojima Hiroki   小島　大樹    所属   千葉工業大学  デザイン＆サイエンス研究科 デザイン＆サイエンス専攻    職種   准教授
言語種別	日本語
発行・発表の年月	2021/03
形態種別	学術雑誌
標題	Spatial and temporal Taylor's law in 1D chaotic maps.
執筆形態	共著
掲載誌名	Chaos (Woodbury, N.Y.)
掲載区分	国外
巻・号・頁	31(3),033111頁
著者・共著者	Hiroki Kojima, Yuzuru Mitsui, Takashi Ikegami
概要	By using low-dimensional chaotic maps, the power-law relationship established between the sample mean and variance called Taylor's Law (TL) is studied. In particular, we aim to clarify the relationship between TL from the spatial ensemble (STL) and the temporal ensemble (TTL). Since the spatial ensemble corresponds to independent sampling from a stationary distribution, we confirm that STL is explained by the skewness of the distribution. The difference between TTL and STL is shown to be originated in the temporal correlation of a dynamics. In case of logistic and tent maps, the quadratic relationship in the sample mean and variance, called Bartlett's law, is found analytically. On the other hand, TTL in the Hassell model can be well explained by the chunk structure of the trajectory, whereas the TTL of the Ricker model has a different mechanism originated from the specific form of the map.
DOI	10.1063/5.0036892
ISSN	1089-7682
PMID	33810725