Structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.

Identifying coordinated activity within complex systems is essential to linking their structure and function. We study collective activity in networks of pulse-coupled oscillators that have variable network connectivity and integrate-and-fire dynamics. Starting from random initial conditions, we see...

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Autores principales:	Kyra L Kadhim, Ann M Hermundstad, Kevin S Brown
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2cef5d55b516414f8cd6bf0abb8a87ed
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spelling	oai:doaj.org-article:2cef5d55b516414f8cd6bf0abb8a87ed2021-12-02T20:18:21ZStructured patterns of activity in pulse-coupled oscillator networks with varied connectivity.1932-620310.1371/journal.pone.0256034https://doaj.org/article/2cef5d55b516414f8cd6bf0abb8a87ed2021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0256034https://doaj.org/toc/1932-6203Identifying coordinated activity within complex systems is essential to linking their structure and function. We study collective activity in networks of pulse-coupled oscillators that have variable network connectivity and integrate-and-fire dynamics. Starting from random initial conditions, we see the emergence of three broad classes of behaviors that differ in their collective spiking statistics. In the first class ("temporally-irregular"), all nodes have variable inter-spike intervals, and the resulting firing patterns are irregular. In the second ("temporally-regular"), the network generates a coherent, repeating pattern of activity in which all nodes fire with the same constant inter-spike interval. In the third ("chimeric"), subgroups of coherently-firing nodes coexist with temporally-irregular nodes. Chimera states have previously been observed in networks of oscillators; here, we find that the notions of temporally-regular and chimeric states encompass a much richer set of dynamical patterns than has yet been described. We also find that degree heterogeneity and connection density have a strong effect on the resulting state: in binomial random networks, high degree variance and intermediate connection density tend to produce temporally-irregular dynamics, while low degree variance and high connection density tend to produce temporally-regular dynamics. Chimera states arise with more frequency in networks with intermediate degree variance and either high or low connection densities. Finally, we demonstrate that a normalized compression distance, computed via the Lempel-Ziv complexity of nodal spike trains, can be used to distinguish these three classes of behavior even when the phase relationship between nodes is arbitrary.Kyra L KadhimAnn M HermundstadKevin S BrownPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 8, p e0256034 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Kyra L Kadhim Ann M Hermundstad Kevin S Brown Structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.
description	Identifying coordinated activity within complex systems is essential to linking their structure and function. We study collective activity in networks of pulse-coupled oscillators that have variable network connectivity and integrate-and-fire dynamics. Starting from random initial conditions, we see the emergence of three broad classes of behaviors that differ in their collective spiking statistics. In the first class ("temporally-irregular"), all nodes have variable inter-spike intervals, and the resulting firing patterns are irregular. In the second ("temporally-regular"), the network generates a coherent, repeating pattern of activity in which all nodes fire with the same constant inter-spike interval. In the third ("chimeric"), subgroups of coherently-firing nodes coexist with temporally-irregular nodes. Chimera states have previously been observed in networks of oscillators; here, we find that the notions of temporally-regular and chimeric states encompass a much richer set of dynamical patterns than has yet been described. We also find that degree heterogeneity and connection density have a strong effect on the resulting state: in binomial random networks, high degree variance and intermediate connection density tend to produce temporally-irregular dynamics, while low degree variance and high connection density tend to produce temporally-regular dynamics. Chimera states arise with more frequency in networks with intermediate degree variance and either high or low connection densities. Finally, we demonstrate that a normalized compression distance, computed via the Lempel-Ziv complexity of nodal spike trains, can be used to distinguish these three classes of behavior even when the phase relationship between nodes is arbitrary.
format	article
author	Kyra L Kadhim Ann M Hermundstad Kevin S Brown
author_facet	Kyra L Kadhim Ann M Hermundstad Kevin S Brown
author_sort	Kyra L Kadhim
title	Structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.
title_short	Structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.
title_full	Structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.
title_fullStr	Structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.
title_full_unstemmed	Structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.
title_sort	structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/2cef5d55b516414f8cd6bf0abb8a87ed
work_keys_str_mv	AT kyralkadhim structuredpatternsofactivityinpulsecoupledoscillatornetworkswithvariedconnectivity AT annmhermundstad structuredpatternsofactivityinpulsecoupledoscillatornetworkswithvariedconnectivity AT kevinsbrown structuredpatternsofactivityinpulsecoupledoscillatornetworkswithvariedconnectivity
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Structured patterns of activity in pulse-coupled oscillator networks with varied connectivity.

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