Flock stability in the Vicsek Model

Joshua M. Brown; Terry Bossomaier

doi:10.1007/978-3-319-64798-2_6

Flock stability in the Vicsek Model

Joshua M. Brown, Terry Bossomaier

Research output: Book chapter/Published conference paper › Conference paper › peer-review

2 Citations (Scopus)

Abstract

The Standard Vicsek Model and a popular variant — using topological neighbour interactions — are widely used models for studying flocking phenomena in the natural world. It is capable of demonstrating the ordered and disordered states of real world flocks by tuning a temperature variable η, where high η corresponds to the disordered state. Here we show that the ordered state attained at low η is not stable over indefinite time periods raising implications for simulations and settling times. Additionally, we show that the loss of coherency in the metric case is reversible, while it is permanent in topological case.

Original language	English
Title of host publication	Multiagent system technologies
Subtitle of host publication	15th German conference, MATES 2017, proceedings
Editors	Jan Ole Berndt, Paolo Petta , Rainer Unland
Place of Publication	Cham, Switzerland
Publisher	Springer-Verlag London Ltd.
Pages	89-102
Number of pages	14
Volume	10413
ISBN (Electronic)	9783319647982
ISBN (Print)	9783319647975
DOIs	https://doi.org/10.1007/978-3-319-64798-2_6
Publication status	Published - 28 Jul 2017
Event	15th German Conference on Multiagent System Technologies: MATES 2017 - Leipzig University, Leipzig, Germany Duration: 23 Aug 2017 → 26 Aug 2017 http://mates2017.uni-trier.de/ (Conference website)

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10413 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	15th German Conference on Multiagent System Technologies
Country/Territory	Germany
City	Leipzig
Period	23/08/17 → 26/08/17
Other	The MATES conference series aims at the promotion of and the cross-fertilization between theory and application of intelligent agents and multiagent systems. It provides an interdisciplinary forum for researchers and members of business and industry to present and discuss latest advances in agent-based computing with prototyped or fielded systems in various application domains. MATES 2017 will offer a competitive set of special topical sessions, invited keynotes by distinguished experts, and issues a Best Paper Award. The MATES conference series is ERA/CORE top-ranked in the field of agent technologies, and its proceedings are published by Springer in volume 10413 of the LNAI (Lecture Notes in Artificial Intelligence) subseries of the LNCS (Lecture Notes in Computer Science) series.
Internet address	http://mates2017.uni-trier.de/ (Conference website)

Access to Document

10.1007/978-3-319-64798-2_6

Cite this

Brown, J. M., & Bossomaier, T. (2017). Flock stability in the Vicsek Model. In J. O. Berndt, P. Petta , & R. Unland (Eds.), Multiagent system technologies: 15th German conference, MATES 2017, proceedings (Vol. 10413, pp. 89-102). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10413 LNAI). Springer-Verlag London Ltd.. https://doi.org/10.1007/978-3-319-64798-2_6

Brown, Joshua M. ; Bossomaier, Terry. / Flock stability in the Vicsek Model. Multiagent system technologies: 15th German conference, MATES 2017, proceedings. editor / Jan Ole Berndt ; Paolo Petta ; Rainer Unland. Vol. 10413 Cham, Switzerland : Springer-Verlag London Ltd., 2017. pp. 89-102 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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keywords = "Flocking, Metric interactions, Topological interactions, Vicsek model",

author = "Brown, {Joshua M.} and Terry Bossomaier",

note = "Includes bibliographical references.; 15th German Conference on Multiagent System Technologies : MATES 2017 ; Conference date: 23-08-2017 Through 26-08-2017",

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Brown, JM & Bossomaier, T 2017, Flock stability in the Vicsek Model. in JO Berndt, P Petta & R Unland (eds), Multiagent system technologies: 15th German conference, MATES 2017, proceedings. vol. 10413, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10413 LNAI, Springer-Verlag London Ltd., Cham, Switzerland, pp. 89-102, 15th German Conference on Multiagent System Technologies, Leipzig, Saxony, Germany, 23/08/17. https://doi.org/10.1007/978-3-319-64798-2_6

Flock stability in the Vicsek Model. / Brown, Joshua M.; Bossomaier, Terry.
Multiagent system technologies: 15th German conference, MATES 2017, proceedings. ed. / Jan Ole Berndt; Paolo Petta ; Rainer Unland. Vol. 10413 Cham, Switzerland: Springer-Verlag London Ltd., 2017. p. 89-102 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10413 LNAI).

Research output: Book chapter/Published conference paper › Conference paper › peer-review

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N2 - The Standard Vicsek Model and a popular variant — using topological neighbour interactions — are widely used models for studying flocking phenomena in the natural world. It is capable of demonstrating the ordered and disordered states of real world flocks by tuning a temperature variable η, where high η corresponds to the disordered state. Here we show that the ordered state attained at low η is not stable over indefinite time periods raising implications for simulations and settling times. Additionally, we show that the loss of coherency in the metric case is reversible, while it is permanent in topological case.

AB - The Standard Vicsek Model and a popular variant — using topological neighbour interactions — are widely used models for studying flocking phenomena in the natural world. It is capable of demonstrating the ordered and disordered states of real world flocks by tuning a temperature variable η, where high η corresponds to the disordered state. Here we show that the ordered state attained at low η is not stable over indefinite time periods raising implications for simulations and settling times. Additionally, we show that the loss of coherency in the metric case is reversible, while it is permanent in topological case.

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Brown JM, Bossomaier T. Flock stability in the Vicsek Model. In Berndt JO, Petta P, Unland R, editors, Multiagent system technologies: 15th German conference, MATES 2017, proceedings. Vol. 10413. Cham, Switzerland: Springer-Verlag London Ltd. 2017. p. 89-102. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-64798-2_6

Flock stability in the Vicsek Model

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