THE QUASI-INVARIANT LIMIT FOR A KINETIC MODEL OF SOCIOLOGICAL COLLECTIVE BEHAVIOR

被引：17

作者：

Boudin, Laurent ^{[1
,2
]}

Salvarani, Francesco ^{[3
]}

机构：

[1] Univ Paris 06, UMR 7598, LJLL, F-75005 Paris, France

[2] CNRS, UMR 7598, LJLL, F-75005 Paris, France

[3] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

关键词：

Sociophysics; opinion formation; kinetic theory; OPINION FORMATION; GRANULAR MEDIA; EVOLUTION; CHOICE;

D O I：

10.3934/krm.2009.2.433

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to the study of the asymptotic behavior of a kinetic model proposed to forecast the phenomenon of opinion formation, with both effect of self-thinking and compromise between individuals. By supposing that the effects of self-thinking and compromise are very weak, we asymptotically deduce some simpler models who loose the kinetic structure. We explicitly characterize the asymptotic state of the limiting equation and study the speed of convergence towards equilibrium.

引用

页码：433 / 449

页数：17

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