Asymptotic Flocking for the Cucker-Smale Model with Time Variable Time Delays

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2023-12-05 DOI:10.1007/s10440-023-00625-y

Elisa Continelli

引用次数: 2

Abstract

In this paper, we investigate a Cucker-Smale flocking model with varying time delay. We establish exponential asymptotic flocking without requiring smallness assumptions on the time delay size and the monotonicity of the influence function.

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具有时间可变性时间延迟的卡克-斯马尔模型的渐近成群效应

在本文中，我们研究了一个具有不同时间延迟的 Cucker-Smale 集群模型。我们无需对时间延迟大小和影响函数的单调性作小的假设，就能建立指数渐进的羊群效应。

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

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.