ASYMPTOTIC FLOCKING VELOCITY AND POSITION FORMULAS FOR THE DELAYED CUCKER-SMALE MODEL

Fen Nie; Yicheng Liu

doi:https://doi.org/10.11948/20190146

doi.org/10.11948/20190146

ASYMPTOTIC FLOCKING VELOCITY AND POSITION FORMULAS FOR THE DELAYED CUCKER-SMALE MODEL

Fen Nie,

Yicheng Liu

Journal of Applied Analysis and Computation1.10

Volume: 11, Issue: 4, Pages: 1678 - 1690

Published: Jan 1, 2021

Abstract

The Cucker-Smale (short for C-S) model was modified by introduced multiple time delays, and the flocking characteristics of the processing delay C-S model of systems was obtained. Based on the fixed point theorem, we present the existence and uniqueness of the flocking solution for our delayed C-S model when the influence function has the property of Lipschitz and the initial value satisfies certain conditions. At last, we present the...

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Paper Details

Title

ASYMPTOTIC FLOCKING VELOCITY AND POSITION FORMULAS FOR THE DELAYED CUCKER-SMALE MODEL

DOI

doi.org/10.11948/20190146

Published Date

Jan 1, 2021

Journal

Journal of Applied Analysis and Computation

Volume

11

Issue

4

Pages

1678 - 1690

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