Flock Stability in the Vicsek Model

Joshua M. Brown, Terry Bossomaier

Research output: Book chapter/Published conference paperConference paper

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 languageEnglish
Title of host publicationProceedings of the 15th German Conference of Multiagent System Technologies, MATES 2017
EditorsJan Ole Berndt, Paolo Petta , Rainer Unland
PublisherSpringer-Verlag London Ltd.
Pages89-102
Number of pages14
Volume10413 LNAI
ISBN (Electronic)9783319647982
ISBN (Print)9783319647975
DOIs
Publication statusPublished - 28 Jul 2017
Event15th German Conference on Multiagent System Technologies: MATES 2017 - Leipzig University, Leipzig, Germany
Duration: 23 Aug 201726 Aug 2017
http://mates2017.uni-trier.de/ (Conference website)

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10413 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference15th German Conference on Multiagent System Technologies
CountryGermany
CityLeipzig
Period23/08/1726/08/17
OtherThe 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

Fingerprint

Flock
Flocking
Standard Model
Tuning
Metric
Interaction
Model
Simulation
Temperature

Cite this

Brown, J. M., & Bossomaier, T. (2017). Flock Stability in the Vicsek Model. In J. O. Berndt, P. Petta , & R. Unland (Eds.), Proceedings of the 15th German Conference of Multiagent System Technologies, MATES 2017 (Vol. 10413 LNAI, 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. Proceedings of the 15th German Conference of Multiagent System Technologies, MATES 2017. editor / Jan Ole Berndt ; Paolo Petta ; Rainer Unland. Vol. 10413 LNAI 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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title = "Flock Stability in the Vicsek Model",
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.",
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Brown, JM & Bossomaier, T 2017, Flock Stability in the Vicsek Model. in JO Berndt, P Petta & R Unland (eds), Proceedings of the 15th German Conference of Multiagent System Technologies, MATES 2017. vol. 10413 LNAI, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10413 LNAI, Springer-Verlag London Ltd., pp. 89-102, 15th German Conference on Multiagent System Technologies, Leipzig, 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.

Proceedings of the 15th German Conference of Multiagent System Technologies, MATES 2017. ed. / Jan Ole Berndt; Paolo Petta ; Rainer Unland. Vol. 10413 LNAI 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 paperConference paper

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Brown JM, Bossomaier T. Flock Stability in the Vicsek Model. In Berndt JO, Petta P, Unland R, editors, Proceedings of the 15th German Conference of Multiagent System Technologies, MATES 2017. Vol. 10413 LNAI. 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)). https://doi.org/10.1007/978-3-319-64798-2_6