The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , |
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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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 |
|
_version_ |
1808128814119649280 |