Flocking and non-flocking behavior in a stochastic cucker-smale system

Ton Viet Ta, Nguyen Thi Hoai Linh, Atsushi Yagi

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We first present a new stochastic version of the Cucker-Smale model of the emergent behavior in flocks in which the mutual communication between individuals is affected by random factor. Then, the existence and uniqueness of global solution to this system are verified. We show a result which agrees with the natural fact that under the effect of a large noise, there is no flocking. In contrast, if the noise is small, then flocking may occur. The paper ends with some numerical examples.

Original languageEnglish
Pages (from-to)63-73
Number of pages11
JournalAnalysis and Applications
Volume12
Issue number1
DOIs
Publication statusPublished - Jan 1 2014

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Flocking
Emergent Behavior
Flock
Communication
Global Solution
Existence and Uniqueness
Numerical Examples
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Flocking and non-flocking behavior in a stochastic cucker-smale system. / Ta, Ton Viet; Linh, Nguyen Thi Hoai; Yagi, Atsushi.

In: Analysis and Applications, Vol. 12, No. 1, 01.01.2014, p. 63-73.

Research output: Contribution to journalArticle

Ta, Ton Viet ; Linh, Nguyen Thi Hoai ; Yagi, Atsushi. / Flocking and non-flocking behavior in a stochastic cucker-smale system. In: Analysis and Applications. 2014 ; Vol. 12, No. 1. pp. 63-73.
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