research-article

The Convergence of Bird Flocking

Author:

Bernard ChazelleAuthors Info & Claims

Journal of the ACM (JACM), Volume 61, Issue 4

Article No.: 21, Pages 1 - 35

https://doi.org/10.1145/2629613

Published: 01 July 2014 Publication History

Abstract

We bound the time it takes for a group of birds to stabilize in a standard flocking model. Each bird averages its velocity with its neighbors lying within a fixed radius. We resolve the worst-case complexity of this natural algorithm by providing asymptotically tight bounds on the time to equilibrium. We reduce the problem to two distinct questions in computational geometry and circuit complexity.

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Index Terms

The Convergence of Bird Flocking
1. Theory of computation
  1. Design and analysis of algorithms

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Published In

cover image Journal of the ACM

Journal of the ACM Volume 61, Issue 4

July 2014

259 pages

ISSN:0004-5411

EISSN:1557-735X

DOI:10.1145/2660259

Editor:
Victor Vianu
University of California, San Diego

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Copyright © 2014 ACM.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 July 2014

Accepted: 01 March 2014

Revised: 01 October 2013

Received: 01 May 2009

Published in JACM Volume 61, Issue 4

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Zhang ZFort JGiménez Mateu L(2023)Exploringthe Potential of Artificial Intelligence as a Tool for Architectural Design: A Perception Study Using Gaudí’sWorksBuildings10.3390/buildings1307186313:7(1863)Online publication date: 22-Jul-2023
https://doi.org/10.3390/buildings13071863
Garg SShiragur KGordon DCharikar M(2023)Distributed algorithms from arboreal ants for the shortest path problemProceedings of the National Academy of Sciences10.1073/pnas.2207959120120:6Online publication date: 30-Jan-2023
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Patel YRughani P(2022)Swarm Ornithopter Robirds: An Architecture to Protect Aerospace for Aerial DefenseProceedings of the 2022 3rd International Conference on Robotics Systems and Vehicle Technology10.1145/3560453.3560456(12-15)Online publication date: 22-Jul-2022
https://dl.acm.org/doi/10.1145/3560453.3560456
Chazelle BKarntikoon K(2022)Quick Relaxation in Collective Motion2022 IEEE 61st Conference on Decision and Control (CDC)10.1109/CDC51059.2022.9992475(6472-6477)Online publication date: 6-Dec-2022
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Guha ADasgupta A(2021)Consensus From Distributed Iterative Voting2021 IEEE 11th Annual Computing and Communication Workshop and Conference (CCWC)10.1109/CCWC51732.2021.9376080(0829-0833)Online publication date: 27-Jan-2021
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Baron M(2020)Tactile tails: a new hypothesis for the function of the elongate tails of diplodocid sauropodsHistorical Biology10.1080/08912963.2020.176909233:10(2057-2066)Online publication date: 28-May-2020
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Hatti DSutagundar A(2019)Nature Inspired Computing for Wireless Networks ApplicationsInternational Journal of Applied Evolutionary Computation10.4018/IJAEC.201901010110:1(1-29)Online publication date: 1-Jan-2019
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