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

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2022-01-01 DOI:10.3934/krm.2022022

Linglong Du, Xinyun Zhou

引用次数: 0

Abstract

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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谐波势场中的随机延迟cucker - small系统

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。

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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来源期刊

Kinetic and Related Models 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.