On the mathematics of emergence

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

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Detail(s)

Original languageEnglish
Pages (from-to)197-227
Journal / PublicationJapanese Journal of Mathematics
Volume2
Issue number1
Publication statusPublished - Mar 2007

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-34047112216&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(627f6b5f-0453-4d3a-99e4-63ec826be97f).html

Abstract

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. © The Mathematical Society of Japan and Springer 2007.

Research Area(s)

  • Consensus reaching, Emergence, Flocking

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Publication fingerprints text

100
Discrete-time Keyphrases
100
Japan Keyphrases
100
Autonomous Agents Keyphrases
100
Number Mathematics
100
Continuous Time Mathematics
100
Discrete Time Mathematics
100
General Result Mathematics
100
Mathematics Mathematics
100
Emergence Mathematics
100
convergence INIS
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Citation Format(s)

[ RIS ] [ BibTeX ]
On the mathematics of emergence. / Cucker, Felipe; Smale, Steve.
In: Japanese Journal of Mathematics, Vol. 2, No. 1, 03.2007, p. 197-227.

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