{"title":"Noise color influence on escape times in nonlinear oscillators - experimental and numerical results","authors":"Thomas Breunung, Balakumar Balachandran","doi":"10.1016/j.taml.2022.100420","DOIUrl":null,"url":null,"abstract":"<div><p>The interplay between noise and nonlinearites can lead to escape dynamics. Associated nonlinear phenomena have been observed in various applications ranging from climatology to biology and engineering. For reasons of computational ease, in most studies, Gaussian white noise is used. However, this noise model is not physical due to the associated infinite energy content. Here, the authors present extensive experimental investigations and numerical simulations conducted to examine the impact of noise color on escape times in nonlinear oscillators. With a careful parameterization of the numerical simulations, the authors are able to make quantitative comparisons with experimental results. Through the experiments and simulations, it is illustrated that the noise color can drastically influence escape times and escape probability.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":null,"pages":null},"PeriodicalIF":3.2000,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Mechanics Letters","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2095034922001003","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 4
Abstract
The interplay between noise and nonlinearites can lead to escape dynamics. Associated nonlinear phenomena have been observed in various applications ranging from climatology to biology and engineering. For reasons of computational ease, in most studies, Gaussian white noise is used. However, this noise model is not physical due to the associated infinite energy content. Here, the authors present extensive experimental investigations and numerical simulations conducted to examine the impact of noise color on escape times in nonlinear oscillators. With a careful parameterization of the numerical simulations, the authors are able to make quantitative comparisons with experimental results. Through the experiments and simulations, it is illustrated that the noise color can drastically influence escape times and escape probability.
期刊介绍：
An international journal devoted to rapid communications on novel and original research in the field of mechanics. TAML aims at publishing novel, cutting edge researches in theoretical, computational, and experimental mechanics. The journal provides fast publication of letter-sized articles and invited reviews within 3 months. We emphasize highlighting advances in science, engineering, and technology with originality and rapidity. Contributions include, but are not limited to, a variety of topics such as: • Aerospace and Aeronautical Engineering • Coastal and Ocean Engineering • Environment and Energy Engineering • Material and Structure Engineering • Biomedical Engineering • Mechanical and Transportation Engineering • Civil and Hydraulic Engineering Theoretical and Applied Mechanics Letters (TAML) was launched in 2011 and sponsored by Institute of Mechanics, Chinese Academy of Sciences (IMCAS) and The Chinese Society of Theoretical and Applied Mechanics (CSTAM). It is the official publication the Beijing International Center for Theoretical and Applied Mechanics (BICTAM).
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