2025-05-07 東京大学
図1：同期現象に誘発されるTaylor’s law
同期していない時系列データから平均と分散の関係を計算してもTLは観測されない（上段）が、同期している時系列データからはTLが観測される（下段）。
＜関連情報＞
- https://www.k.u-tokyo.ac.jp/information/category/press/11578.html
- https://www.k.u-tokyo.ac.jp/information/upload/c1e33c3454f151364413972f446a7af2cf93da12.pdf
- https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.134.167202
周期発振器とカオス発振器の同期による波形の比例性とテイラーの法則 Waveform Proportionality and Taylor’s Law Induced by Synchronization of Periodic and Chaotic Oscillators
Yuzuru Mitsui and Hiroshi Kori
Physical Review Letters Published: 25 April, 2025
DOI: https://doi.org/10.1103/PhysRevLett.134.167202
Abstract
Taylor’s law (TL), the scaling relationship between mean and variance, has been observed in various fields. However, the underlying reasons for the widespread occurrence of TL, the frequent appearance of the TL exponent value close to 2, and the relationship between temporal and spatial TLs are not fully understood. Here, using coupled oscillator models, we analytically and numerically demonstrate that synchronization can induce TL. In particular, we show that strong synchronization leads to waveform proportionality, resulting in temporal and spatial TLs with an exponent 2. Our results can help infer the existence of synchronization solely from the correlation between mean and variance.
