Existence of multiple noise-induced transitions in Lasota-Mackey maps

Chihara, Takumi; Sato, Yuzuru; Nisoli, Isaia et al.

Chaos, 2022, 32(1), 13117

Permalink : https://hdl.handle.net/2115/87842

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アクセス権
open access
URI
https://hdl.handle.net/2115/87842
タイトル
Existence of multiple noise-induced transitions in Lasota-Mackey maps
著者
Chihara, Takumi ; Sato, Yuzuru ; Nisoli, Isaia ; Galatolo, Stefano
著者名
Chihara, Takumi
e-Rad_Researcher
30342794
著者名
Sato, Yuzuru
著者名
Nisoli, Isaia
著者名
Galatolo, Stefano
言語
英語
発行日
2022-01-01
出版者
AIP Publishing
収録物名
Chaos
巻(号)
32(1)
ページ
13117
抄録
We prove the existence of multiple noise-induced transitions in the Lasota-Mackey map, which is a class of one-dimensional random dynamical system with additive noise. The result is achieved with the help of rigorous computer assisted estimates. We first approximate the stationary distribution of the random dynamical system and then compute certified error intervals for the Lyapunov exponent. We find that the sign of the Lyapunov exponent changes at least three times when increasing the noise amplitude. We also show numerical evidence that the standard non-rigorous numerical approximation by finite-time Lyapunov exponent is valid with our model for a sufficiently large number of iterations. Our method is expected to work for a broad class of nonlinear stochastic phenomena.
資源タイプ
学術雑誌論文
出版タイプ
Version of Record
権利情報
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in (Takumi Chihara, Yuzuru Sato, Isaia Nisoli, and Stefano Galatolo , "Existence of multiple noise-induced transitions in Lasota–Mackey maps", Chaos 32, 013117 (2022)) and may be found at https://doi.org/10.1063/5.0070198.
PISSN
1054-1500
関連情報 (isIdenticalTo)
出版社版DOI
https://doi.org/10.1063/5.0070198