The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units

Detalhes bibliográficos
Autor(a) principal: Medeiros, Everton S.
Data de Publicação: 2021
Outros Autores: Medrano, Rene O.-T. [UNESP], Caldas, Iberê L., Feudel, Ulrike
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/2632-072X/abedc2
http://hdl.handle.net/11449/228934
Resumo: A chaotic saddle is a common nonattracting chaotic set well known for generating finite-Time chaotic behavior in low and high-dimensional systems. In general, dynamical systems possessing chaotic saddles in their state-space exhibit irregular behavior with duration lengths following an exponential distribution. However, when these systems are coupled into networks the chaotic saddle plays a role in the long-Term dynamics by trapping network trajectories for times that are indefinitely long. This process transforms the network s high-dimensional state-space by creating an alternative persistent desynchronized state coexisting with the completely synchronized one. Such coexistence threatens the synchronized state with vulnerability to external perturbations. We demonstrate the onset of this phenomenon in complex networks of discrete-Time units in which the synchronization manifold is perturbed either in the initial instant of time or in arbitrary states of its asymptotic dynamics. The role of topological asymmetries of Erdös Renyi and Barabási Albert graphs are investigated. Besides, the required coupling strength for the occurrence of trapping in the chaotic saddle is unveiled.
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spelling The impact of chaotic saddles on the synchronization of complex networks of discrete-Time unitsChaotic saddleNetworksSynchronizationA chaotic saddle is a common nonattracting chaotic set well known for generating finite-Time chaotic behavior in low and high-dimensional systems. In general, dynamical systems possessing chaotic saddles in their state-space exhibit irregular behavior with duration lengths following an exponential distribution. However, when these systems are coupled into networks the chaotic saddle plays a role in the long-Term dynamics by trapping network trajectories for times that are indefinitely long. This process transforms the network s high-dimensional state-space by creating an alternative persistent desynchronized state coexisting with the completely synchronized one. Such coexistence threatens the synchronized state with vulnerability to external perturbations. We demonstrate the onset of this phenomenon in complex networks of discrete-Time units in which the synchronization manifold is perturbed either in the initial instant of time or in arbitrary states of its asymptotic dynamics. The role of topological asymmetries of Erdös Renyi and Barabási Albert graphs are investigated. Besides, the required coupling strength for the occurrence of trapping in the chaotic saddle is unveiled.Institut fur Theoretische Physik Technische Universität Berlin, Hardenbergstraße 36Departamento de Física Universidade Federal de São Paulo Campus Diadema, R. São Nicolau, 210Departamento de Física Universidade Estadual Paulista Instituto de Geociências e Ciências Exatas, Av. 24A, 1515Institute of Physics University of São Paulo, Rua doMatão, Travessa R 187Institute for Chemistry and Biology of the Marine Environment Carl von Ossietzky University of OldenburgDepartamento de Física Universidade Estadual Paulista Instituto de Geociências e Ciências Exatas, Av. 24A, 1515Technische Universität BerlinUniversidade Federal de São Paulo (UNIFESP)Universidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Carl von Ossietzky University of OldenburgMedeiros, Everton S.Medrano, Rene O.-T. [UNESP]Caldas, Iberê L.Feudel, Ulrike2022-04-29T08:29:29Z2022-04-29T08:29:29Z2021-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1088/2632-072X/abedc2Journal of Physics: Complexity, v. 2, n. 3, 2021.2632-072Xhttp://hdl.handle.net/11449/22893410.1088/2632-072X/abedc22-s2.0-85105041915Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Complexityinfo:eu-repo/semantics/openAccess2022-04-29T08:29:29Zoai:repositorio.unesp.br:11449/228934Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:27:00.593155Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
title The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
spellingShingle The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
Medeiros, Everton S.
Chaotic saddle
Networks
Synchronization
title_short The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
title_full The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
title_fullStr The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
title_full_unstemmed The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
title_sort The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
author Medeiros, Everton S.
author_facet Medeiros, Everton S.
Medrano, Rene O.-T. [UNESP]
Caldas, Iberê L.
Feudel, Ulrike
author_role author
author2 Medrano, Rene O.-T. [UNESP]
Caldas, Iberê L.
Feudel, Ulrike
author2_role author
author
author
dc.contributor.none.fl_str_mv Technische Universität Berlin
Universidade Federal de São Paulo (UNIFESP)
Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
Carl von Ossietzky University of Oldenburg
dc.contributor.author.fl_str_mv Medeiros, Everton S.
Medrano, Rene O.-T. [UNESP]
Caldas, Iberê L.
Feudel, Ulrike
dc.subject.por.fl_str_mv Chaotic saddle
Networks
Synchronization
topic Chaotic saddle
Networks
Synchronization
description A chaotic saddle is a common nonattracting chaotic set well known for generating finite-Time chaotic behavior in low and high-dimensional systems. In general, dynamical systems possessing chaotic saddles in their state-space exhibit irregular behavior with duration lengths following an exponential distribution. However, when these systems are coupled into networks the chaotic saddle plays a role in the long-Term dynamics by trapping network trajectories for times that are indefinitely long. This process transforms the network s high-dimensional state-space by creating an alternative persistent desynchronized state coexisting with the completely synchronized one. Such coexistence threatens the synchronized state with vulnerability to external perturbations. We demonstrate the onset of this phenomenon in complex networks of discrete-Time units in which the synchronization manifold is perturbed either in the initial instant of time or in arbitrary states of its asymptotic dynamics. The role of topological asymmetries of Erdös Renyi and Barabási Albert graphs are investigated. Besides, the required coupling strength for the occurrence of trapping in the chaotic saddle is unveiled.
publishDate 2021
dc.date.none.fl_str_mv 2021-09-01
2022-04-29T08:29:29Z
2022-04-29T08:29:29Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/2632-072X/abedc2
Journal of Physics: Complexity, v. 2, n. 3, 2021.
2632-072X
http://hdl.handle.net/11449/228934
10.1088/2632-072X/abedc2
2-s2.0-85105041915
url http://dx.doi.org/10.1088/2632-072X/abedc2
http://hdl.handle.net/11449/228934
identifier_str_mv Journal of Physics: Complexity, v. 2, n. 3, 2021.
2632-072X
10.1088/2632-072X/abedc2
2-s2.0-85105041915
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics: Complexity
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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