On the mathematics of emergence

被引：401

作者：

Cucker, Felipe ^{[1
]}

Smale, Steve ^{[2
]}

机构：

[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[2] Toyota Technol Inst, Chicago, IL 60637 USA

来源：

JAPANESE JOURNAL OF MATHEMATICS | 2007年 / 2卷 / 01期

基金：

美国国家科学基金会;

关键词：

emergence; flocking; consensus reaching;

D O I：

10.1007/s11537-007-0647-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a setting where convergence to consensus in a population of autonomous agents can be formally addressed and prove some general results establishing conditions under which such convergence occurs. Both continuous and discrete time are considered and a number of particular examples, notably the way in which a population of animals move together, are considered as particular instances of our setting.

引用

页码：197 / 227

页数：31

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