Ornstein-Uhlenbeck噪声驱动系统的动力学多模态。

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Entropy Pub Date : 2025-03-02 DOI:10.3390/e27030263
Michał Mandrysz, Bartłomiej Dybiec
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引用次数: 0

摘要

由噪声驱动的动力系统的特性是由确定力和随机波动的共同作用决定的。非白(相关)噪声的作用能够产生模式数大于确定势(稳定)定点数的静止状态。特别是,奥恩斯坦-乌伦贝克噪声的作用可以诱导固定单阱电势中的静态双模态。在此,我们研究了在一维和二维设置中同时受到奥恩斯坦-乌伦贝克噪声和马尔可夫二分噪声作用的系统中出现的动态多模态性。二分噪声作用下的势随机化可用于控制静态中的模式数量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamical Multimodality in Systems Driven by Ornstein-Uhlenbeck Noise.

The properties of dynamical systems driven by noise are determined by the combined action of deterministic forces and random fluctuations. The action of non-white (correlated) noise is capable of producing stationary states with a number of modes larger than the number of (stable) fixed points of the deterministic potential. In particular, the action of Ornstein-Uhlenbeck noise can induce the bimodality of the stationary states in fixed single-well potentials. Here, we study the emergence of dynamical multimodality in systems subject to the simultaneous action of Ornstein-Uhlenbeck and Markovian dichotomous noise in 1D and 2D setups. The randomization of the potential due to the action of dichotomous noise can be used to control the number of modes in the stationary states.

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来源期刊
Entropy
Entropy PHYSICS, MULTIDISCIPLINARY-
CiteScore
4.90
自引率
11.10%
发文量
1580
审稿时长
21.05 days
期刊介绍: Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.
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