Dynamical Multimodality in Systems Driven by Ornstein-Uhlenbeck Noise

被引：1

作者：

Mandrysz, Michal ^{[1
]}

Dybiec, Bartlomiej ^{[2
,3
]}

机构：

[1] Jagiellonian Univ, Fac Phys Astron & Appl Comp Sci, Ul St Lojasiewicza 11, PL-30348 Krakow, Poland

[2] Jagiellonian Univ, Inst Theoret Phys, Ul St Lojasiewicza 11, PL-30348 Krakow, Poland

[3] Jagiellonian Univ, Mark Kac Ctr Complex Syst Res, Ul St Lojasiewicza 11, PL-30348 Krakow, Poland

来源：

ENTROPY | 2025年 / 27卷 / 03期

关键词：

Ornstein-Uhlenbeck process; dichotomous noise; stationary density; stochastic dynamics; COLORED-NOISE; SUPERDIFFUSION; DISTRIBUTIONS; OSCILLATOR; BIMODALITY; BEHAVIOR; WHITE;

D O I：

10.3390/e27030263

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：13

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