A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network

Oscillatory behavior is absolutely necessary for the normal functioning of various organisms and their performance. Therefore, it is necessary to protect the oscillatory behavior in an aging network which consists of oscillatory and nonoscillatory nodes. In this work, we investigate numerically and...

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Main Authors: Ming Yi, Chenggui Yao
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/1292417
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author Ming Yi
Chenggui Yao
author_facet Ming Yi
Chenggui Yao
author_sort Ming Yi
collection DOAJ
description Oscillatory behavior is absolutely necessary for the normal functioning of various organisms and their performance. Therefore, it is necessary to protect the oscillatory behavior in an aging network which consists of oscillatory and nonoscillatory nodes. In this work, we investigate numerically and theoretically the effect of time delay on oscillatory behaviors in a network which includes active and inactive Stuart–Landau oscillators. Interestingly, we find a chimera oscillatory state where a part of oscillators is a steady state while other oscillators preserve oscillatory motion; such dynamical behaviors are considered generally to be impossible for globally coupled systems when the coupling strength is sufficiently large. Furthermore, our results reveal that time delay can effectively inhibit aging transition and recover the oscillatory behavior from the aging network.
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institution Kabale University
issn 1076-2787
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series Complexity
spelling doaj-art-b78dfc56fda04872bdd4cbd30aba5e0d2025-08-20T03:39:29ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/12924171292417A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator NetworkMing Yi0Chenggui Yao1School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, ChinaOscillatory behavior is absolutely necessary for the normal functioning of various organisms and their performance. Therefore, it is necessary to protect the oscillatory behavior in an aging network which consists of oscillatory and nonoscillatory nodes. In this work, we investigate numerically and theoretically the effect of time delay on oscillatory behaviors in a network which includes active and inactive Stuart–Landau oscillators. Interestingly, we find a chimera oscillatory state where a part of oscillators is a steady state while other oscillators preserve oscillatory motion; such dynamical behaviors are considered generally to be impossible for globally coupled systems when the coupling strength is sufficiently large. Furthermore, our results reveal that time delay can effectively inhibit aging transition and recover the oscillatory behavior from the aging network.http://dx.doi.org/10.1155/2020/1292417
spellingShingle Ming Yi
Chenggui Yao
A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network
Complexity
title A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network
title_full A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network
title_fullStr A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network
title_full_unstemmed A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network
title_short A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network
title_sort chimera oscillatory state in a globally delay coupled oscillator network
url http://dx.doi.org/10.1155/2020/1292417
work_keys_str_mv AT mingyi achimeraoscillatorystateinagloballydelaycoupledoscillatornetwork
AT chengguiyao achimeraoscillatorystateinagloballydelaycoupledoscillatornetwork
AT mingyi chimeraoscillatorystateinagloballydelaycoupledoscillatornetwork
AT chengguiyao chimeraoscillatorystateinagloballydelaycoupledoscillatornetwork