From Flocs to Flocks

Shannon Dee Algar, Thomas Stemler, Michael Small

Research output: Chapter in Book/Conference paperChapter

Abstract

In this chapter we present the different ways in which mathematicians think about group formation and group behaviour. We provide an overview of the frameworks that have been borrowed from Physics and discuss their appropriateness and limitations when applied to groups such as a flock of birds. With a focus at the the level of local behaviour and global results, we explore the origin of flocking models that paved the way for studying some of the most fascinating phenomena and hottest topics of the last few decades self organisation, emergence and coherent collective motion. We then outline the standard approach for model formulation and analysis with two key stages in mind: grouping and flocking - usually treated quite separately in the literature. That is, how do individual motivations drive aggregation of particles to groups, and then how do these groups generate coordinated collective motion. Finally we hint at future work that aims to amalgamate these two stages with a single model.
Original languageEnglish
Title of host publicationMATHEMATICAL MODELING APPROACH FROM NONLINEAR DYNAMICS TO COMPLEX SYSTEMS
EditorsEEN Macau
PublisherSpringer International Publishing AG
Pages157-175
Number of pages19
ISBN (Print)978-3-319-78511-0
DOIs
Publication statusPublished - 2019

Publication series

NameNonlinear Systems and Complexity
PublisherSPRINGER INTERNATIONAL PUBLISHING AG
Volume22
ISSN (Print)2195-9994

Cite this

Algar, S. D., Stemler, T., & Small, M. (2019). From Flocs to Flocks. In EEN. Macau (Ed.), MATHEMATICAL MODELING APPROACH FROM NONLINEAR DYNAMICS TO COMPLEX SYSTEMS (pp. 157-175). (Nonlinear Systems and Complexity; Vol. 22). Springer International Publishing AG. https://doi.org/10.1007/978-3-319-78512-7_9
Algar, Shannon Dee ; Stemler, Thomas ; Small, Michael. / From Flocs to Flocks. MATHEMATICAL MODELING APPROACH FROM NONLINEAR DYNAMICS TO COMPLEX SYSTEMS. editor / EEN Macau. Springer International Publishing AG, 2019. pp. 157-175 (Nonlinear Systems and Complexity).
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Algar, SD, Stemler, T & Small, M 2019, From Flocs to Flocks. in EEN Macau (ed.), MATHEMATICAL MODELING APPROACH FROM NONLINEAR DYNAMICS TO COMPLEX SYSTEMS. Nonlinear Systems and Complexity, vol. 22, Springer International Publishing AG, pp. 157-175. https://doi.org/10.1007/978-3-319-78512-7_9

From Flocs to Flocks. / Algar, Shannon Dee; Stemler, Thomas; Small, Michael.

MATHEMATICAL MODELING APPROACH FROM NONLINEAR DYNAMICS TO COMPLEX SYSTEMS. ed. / EEN Macau. Springer International Publishing AG, 2019. p. 157-175 (Nonlinear Systems and Complexity; Vol. 22).

Research output: Chapter in Book/Conference paperChapter

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AU - Stemler, Thomas

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Algar SD, Stemler T, Small M. From Flocs to Flocks. In Macau EEN, editor, MATHEMATICAL MODELING APPROACH FROM NONLINEAR DYNAMICS TO COMPLEX SYSTEMS. Springer International Publishing AG. 2019. p. 157-175. (Nonlinear Systems and Complexity). https://doi.org/10.1007/978-3-319-78512-7_9