谐波势场中的随机延迟cucker - small系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/krm.2022022

Linglong Du, Xinyun Zhou

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引用次数: 0

摘要

提出了一种具有乘性噪声的延迟cucker - small系统，并研究了该系统的涌现动力学。如果相应的非延迟随机系统承认几乎肯定的集体行为，且延迟足够小，则该系统表现出“群集和集中”的集体行为。我们提供了理论框架和数值模拟。

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The stochastic delayed Cucker-Smale system in a harmonic potential field

We propose a delayed Cucker-Smale system with multiplicative noise in a harmonic potential field and investigate its emergent dynamics. It exhibits a collective behavior "flocking and concentration" if the corresponding non-delay stochastic system admits the almost surely collective behavior and the delay is sufficiently small. We provide theoretical framework and numerical simulations.

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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.

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