Asymmetric space-dependent systems: partial stabilization through the addition of noise and exact solutions for the corresponding nonlinear Langevin equations

doi:10.1088/1402-4896/acfb45

淡江大學機構典藏 > 理學院 > 物理學系暨研究所 > 期刊論文 > Item 987654321/125600

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/125600

题名:	Asymmetric space-dependent systems: partial stabilization through the addition of noise and exact solutions for the corresponding nonlinear Langevin equations
作者:	Fa, Kwok Sau;Ho, Choon-Lin;Matos, Y B;Luz, M G E da
日期:	2023-09-29
上传时间:	2024-07-30 12:06:46 (UTC+8)
出版者:	IOP Publishing
摘要:	In many instances, the dynamical richness and complexity observed in natural phenomena can be related to stochastic drives influencing their temporal evolution. For example, random noise allied to spatial asymmetries may induce stabilization of otherwise diverging trajectories in dynamical systems. However, to identify how exactly this takes place in actual processes usually is not a simple task. Here we unveil a few trends leading to dynamical stabilization and diversity of behavior by introducing Gaussian white noise to a class of exactly solvable non-linear deterministic models displaying space-dependent drifts. For the resulting nonlinear Langevin equations, the associated Fokker-Planck equations can be solved through the similarity method or the Fourier transform technique. By comparing the cases with and without noise, we discuss the changes in the systems dynamical characteristics. Simple examples of drift and diffusion coefficients are explicitly analyzed and comparisons with some other models in the literature are made. Our study illustrates the rich phenomenology originated from spatially heterogeneous dynamical systems under the influence of white noise.
關聯:	Physica Scripta 98(11), 115001
DOI:	10.1088/1402-4896/acfb45
显示于类别:	[物理學系暨研究所] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML	46	检视/开启

在機構典藏中所有的数据项都受到原著作权保护.

TAIR相关文章

数据加载中.....