A NONLINEAR MODEL OF OPINION FORMATION ON THE SPHERE

被引：48

作者：

Caponigro, Marco ^{[1
]}

Lai, Anna Chiara ^{[2
]}

Piccoli, Benedetto ^{[3
,4
]}

机构：

[1] Conservatoire Natl Arts & Metiers, Equipe MN EA 7340, Paris, France

[2] Univ Rome Tre, Dipartimento Matemat & Fis, I-00146 Rome, Italy

[3] Rutgers State Univ, Dept Math Sci, Camden, NJ USA

[4] Rutgers State Univ, Ctr Computat & Integrat Biol, Camden, NJ USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 09期

关键词：

Opinion formation; multiagent dynamics; nonlinear dynamical systems; modeling; control; CONSENSUS; DYNAMICS;

D O I：

10.3934/dcds.2015.35.4241

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a model for opinion dynamics on the d-dimensional sphere based on classical consensus algorithms. The choice of the model is motivated by the analysis of the comprehensive literature on the subject, both from the mathematical and the sociological point of views. The resulting dynamics is highly nonlinear and therefore presents a rich structure. Equilibria and asymptotic behavior are then analysed and sufficient condition for consensus are established. Finally we address global stabilization and controllability.

引用

页码：4241 / 4268

页数：28

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