Flocks with Nonlinear Inherent Dynamics under Fixed and Switching Digraphs

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-13 DOI:10.1137/23m1574270

Jiu-Gang Dong

引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 2, Page 1242-1271, June 2024.
Abstract.This paper studies the dynamic interplay between inherent agent dynamics and velocity alignment in the ensemble of Cucker–Smale (CS) flocks under both fixed and switching interaction topologies. For the fixed topology network modeled by a rooted digraph, we provide sufficient frameworks for exponential convergence of flocking provided that the Lipschitz constant of nonlinear dynamics is less than a given bound in terms of initial state and system parameters. Similar to the CS system free of inherent dynamics, our results exhibit threshold phenomena depending on the quantity of collectivity in of the rooted digraph. For the case with switching topologies being rooted in a sequence of time-blocks, we present similar sufficient frameworks leading to convergence of flocking in terms of initial state and system parameters. Our results hold for both continuous time and discrete time. Numerical simulations are performed to illustrate our theoretical results.

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固定和切换图谱下具有非线性固有动态的羊群

SIAM 应用动力系统期刊》第 23 卷第 2 期第 1242-1271 页，2024 年 6 月。摘要：本文研究了在固定拓扑和切换交互拓扑下，Cucker-Smale（CS）羊群集合中固有的代理动态和速度排列之间的动态相互作用。对于有根数字图建模的固定拓扑网络，只要非线性动力学的 Lipschitz 常数小于初始状态和系统参数的给定约束，我们就能为羊群的指数收敛提供充分的框架。与没有固有动力学的 CS 系统类似，我们的结果显示出阈值现象，这取决于有根数字图中的集合数量。对于切换拓扑根植于时间块序列的情况，我们提出了类似的充分框架，从而导致初始状态和系统参数方面的成群收敛。我们的结果既适用于连续时间，也适用于离散时间。为了说明我们的理论结果，我们进行了数值模拟。

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

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.