Emergent behavior in flocks

Felipe Cucker; Steve Smale

doi:10.1109/TAC.2007.895842

Emergent behavior in flocks

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

1670 Citations (Scopus)

Abstract

We provide a model (for both continuous and discrete time) describing the evolution of a flock. Our model is parameterized by a constant β capturing the rate of decay - which in our model is polynomial - of the influence between birds in the flock as they separate in space. Our main result shows that when β <1/2 convergence of the flock to a common velocity is guaranteed, while for β ≥ 1/2 convergence is guaranteed under some condition on the initial positions and velocities of the birds only. © 2007 IEEE.

Original language	English
Pages (from-to)	852-862
Journal	IEEE Transactions on Automatic Control
Volume	52
Issue number	5
DOIs	https://doi.org/10.1109/TAC.2007.895842
Publication status	Published - May 2007

Research Keywords

Consensus reaching problem
Emergence
Flocking

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AU - Smale, Steve

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KW - Emergence

KW - Flocking

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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ER -

Emergent behavior in flocks

Abstract

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