ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS

被引：114
|
作者：
Bellomo, N. [2 ]
Soler, J. [1 ]
机构：
[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain
[2] Politecn Torino, Dept Math, I-10129 Turin, Italy
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2012年 / 22卷
关键词：
Living systems; swarming; collective behavior; self-organization; nonlinear interactions; learning; large deviations; flocking; MODELS; BEHAVIOR; DIFFUSION; DENSITY; INDIVIDUALS; CHEMOTAXIS; DISPERSAL; TRANSPORT; PATTERNS; FLOCKING;
D O I：
10.1142/S0218202511400069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the modeling and simulation of swarms viewed as a living, hence complex, system. The approach is based on methods of kinetic theory and statistical mechanics, where interactions at the microscopic scale are nonlinearly additive and modeled by stochastic games.
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页数：29
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