Flocking Dynamics of Singularly Perturbed Oscillator Chain and the Cucker-Smale System

被引：40

作者：

Ha, Seung-Yeal ^{[2
]}

Slemrod, Marshall ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2010年 / 22卷 / 02期

关键词：

Flocking; Particles; Singular perturbation limit; Tikhonov theory; DIFFERENTIAL-EQUATIONS; EMERGENCE; PARTICLE;

D O I：

10.1007/s10884-009-9142-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we show how the one-dimensional Cucker-Smale system for "flocking" dynamics can be recovered as a singular perturbation limit of a chain of damped oscillators.

引用

页码：325 / 330

页数：6

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