Detecting intermittent switching leadership in coupled dynamical systems

Abstract Leader-follower relationships are commonly hypothesized as a fundamental mechanism underlying collective behaviour in many biological and physical systems. Understanding the emergence of such behaviour is relevant in science and engineering to control the dynamics of complex systems toward...

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Autores principales:	Violet Mwaffo, Jishnu Keshavan, Tyson L. Hedrick, Sean Humbert
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/c2f8ad53892d41c683d851de74ae38e5
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spelling	oai:doaj.org-article:c2f8ad53892d41c683d851de74ae38e52021-12-02T11:40:46ZDetecting intermittent switching leadership in coupled dynamical systems10.1038/s41598-018-28285-12045-2322https://doaj.org/article/c2f8ad53892d41c683d851de74ae38e52018-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-28285-1https://doaj.org/toc/2045-2322Abstract Leader-follower relationships are commonly hypothesized as a fundamental mechanism underlying collective behaviour in many biological and physical systems. Understanding the emergence of such behaviour is relevant in science and engineering to control the dynamics of complex systems toward a desired state. In prior works, due in part to the limitations of existing methods for dissecting intermittent causal relationships, leadership is assumed to be consistent in time and space. This assumption has been contradicted by recent progress in the study of animal behaviour. In this work, we leverage information theory and time series analysis to propose a novel and simple method for dissecting changes in causal influence. Our approach computes the cumulative influence function of a given individual on the rest of the group in consecutive time intervals and identify change in the monotonicity of the function as a change in its leadership status. We demonstrate the effectiveness of our approach to dissect potential changes in leadership on self-propelled particles where the emergence of leader-follower relationship can be controlled and on tandem flights of birds recorded in their natural environment. Our method is expected to provide a novel methodological tool to further our understanding of collective behaviour.Violet MwaffoJishnu KeshavanTyson L. HedrickSean HumbertNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-20 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Violet Mwaffo Jishnu Keshavan Tyson L. Hedrick Sean Humbert Detecting intermittent switching leadership in coupled dynamical systems
description	Abstract Leader-follower relationships are commonly hypothesized as a fundamental mechanism underlying collective behaviour in many biological and physical systems. Understanding the emergence of such behaviour is relevant in science and engineering to control the dynamics of complex systems toward a desired state. In prior works, due in part to the limitations of existing methods for dissecting intermittent causal relationships, leadership is assumed to be consistent in time and space. This assumption has been contradicted by recent progress in the study of animal behaviour. In this work, we leverage information theory and time series analysis to propose a novel and simple method for dissecting changes in causal influence. Our approach computes the cumulative influence function of a given individual on the rest of the group in consecutive time intervals and identify change in the monotonicity of the function as a change in its leadership status. We demonstrate the effectiveness of our approach to dissect potential changes in leadership on self-propelled particles where the emergence of leader-follower relationship can be controlled and on tandem flights of birds recorded in their natural environment. Our method is expected to provide a novel methodological tool to further our understanding of collective behaviour.
format	article
author	Violet Mwaffo Jishnu Keshavan Tyson L. Hedrick Sean Humbert
author_facet	Violet Mwaffo Jishnu Keshavan Tyson L. Hedrick Sean Humbert
author_sort	Violet Mwaffo
title	Detecting intermittent switching leadership in coupled dynamical systems
title_short	Detecting intermittent switching leadership in coupled dynamical systems
title_full	Detecting intermittent switching leadership in coupled dynamical systems
title_fullStr	Detecting intermittent switching leadership in coupled dynamical systems
title_full_unstemmed	Detecting intermittent switching leadership in coupled dynamical systems
title_sort	detecting intermittent switching leadership in coupled dynamical systems
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/c2f8ad53892d41c683d851de74ae38e5
work_keys_str_mv	AT violetmwaffo detectingintermittentswitchingleadershipincoupleddynamicalsystems AT jishnukeshavan detectingintermittentswitchingleadershipincoupleddynamicalsystems AT tysonlhedrick detectingintermittentswitchingleadershipincoupleddynamicalsystems AT seanhumbert detectingintermittentswitchingleadershipincoupleddynamicalsystems
_version_	1718395543709810688

Detecting intermittent switching leadership in coupled dynamical systems

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