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Existence of multiple noise-induced transitions in Lasota-Mackey maps
| Title: | Existence of multiple noise-induced transitions in Lasota-Mackey maps |
| Authors: | Chihara, Takumi Browse this author | | Sato, Yuzuru Browse this author →KAKEN DB | | Nisoli, Isaia Browse this author | | Galatolo, Stefano Browse this author |
| Issue Date: | 1-Jan-2022 |
| Publisher: | AIP Publishing |
| Journal Title: | Chaos |
| Volume: | 32 |
| Issue: | 1 |
| Start Page: | 13117 |
| Publisher DOI: | 10.1063/5.0070198 |
| Abstract: | 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. |
| Rights: | 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. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/87842 |
| Appears in Collections: | 電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 佐藤 譲
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