确定性动力系统白噪声时变产生的随机动力系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-12-09 DOI:10.1155/2022/3881486

M. Hmissi, F. Mokchaha

引用次数: 0

摘要

本文将真实白噪声引起的随机时间变化应用于确定性动力系统。证明了当确定性动力系统是常微分方程的解时，所得到的随机动力系统是一些随机微分方程的解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Random Dynamical Systems Generated by White Noise Time Change of Deterministic Dynamical Systems

In this paper, we apply the random time change by the real white noise to deterministic dynamical systems. We prove that the obtained random dynamical systems are solutions of some stochastic differential equations whenever the deterministic dynamical systems are solutions of ordinary differential equations.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.