Itinerary synchronization between PWL systems coupled with unidirectional links

"In this paper the collective dynamics of N-coupled piecewise linear (PWL) systems with different number of scrolls is studied. The coupling is in a master-slave sequence configuration, with this type of coupling we investigate the synchrony behavior of a ring-connected network and a chain-conn...

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Detalles Bibliográficos
Autores: ANDRES ANZO HERNANDEZ, Eric Campos Cantón, Matthew J. Nicol
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:México
Institución:Instituto Potosino de Investigación Científica y Tecnológica
Repositorio:Repositorio Institucional del IPICYT
OAI Identifier:oai:ipicyt.repositorioinstitucional.mx:1010/2308
Acceso en línea:http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2308
Access Level:acceso embargado
Palabra clave:info:eu-repo/classification/Autor/Itinerary synchronization
info:eu-repo/classification/Autor/Chaos
info:eu-repo/classification/Autor/Dynamical networks
info:eu-repo/classification/Autor/Multiscroll attractor
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
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oai_identifier_str oai:ipicyt.repositorioinstitucional.mx:1010/2308
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network_name_str México
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spelling Itinerary synchronization between PWL systems coupled with unidirectional linksANDRES ANZO HERNANDEZEric Campos CantónMatthew J. Nicolinfo:eu-repo/classification/Autor/Itinerary synchronizationinfo:eu-repo/classification/Autor/Chaosinfo:eu-repo/classification/Autor/Dynamical networksinfo:eu-repo/classification/Autor/Multiscroll attractorinfo:eu-repo/classification/cti/1info:eu-repo/classification/cti/12info:eu-repo/classification/cti/12"In this paper the collective dynamics of N-coupled piecewise linear (PWL) systems with different number of scrolls is studied. The coupling is in a master-slave sequence configuration, with this type of coupling we investigate the synchrony behavior of a ring-connected network and a chain-connected network both with unidirectional links. Itinerary synchronization is used to detect synchrony behavior. Itinerary synchronization is defined in terms of the symbolic dynamics arising by assigning different numbers to the regions where the scrolls are generated. A weaker variant of this notion, epsilon-itinerary synchronization is also introduced and numerically investigated. It is shown that in certain parameter regimes if the inner connection between nodes takes account of all the state variables of the system (by which we mean that the inner coupling matrix is the identity matrix), then itinerary synchronization occurs and the coordinate motion is determined by the node with the smallest number of scrolls. Thus the collective behavior in all the nodes of the network is determined by the node with least scrolls in its attractor. Results about the dynamics in a directed chain topology are also presented. Depending on the inner connection properties, the nodes present multistability or preservation of the number of scrolls of the attractors."Elsevier2019info:eu-repo/date/embargoEnd/2021-05-31info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2308reponame:Repositorio Institucional del IPICYTinstname:Instituto Potosino de Investigación Científica y Tecnológicainstacron:IPICYTinfo:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1016/j.cnsns.2018.10.020citation:A. Anzo-Hernández, E. Campos-Cantón, Matthew Nicol, Itinerary synchronization between PWL systems coupled with unidirectional links, Communications in Nonlinear Science and Numerical Simulation, Volume 70, 2019, Pages 102-124, https://doi.org/10.1016/j.cnsns.2018.10.020.info:eu-repo/semantics/embargoedAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0oai:ipicyt.repositorioinstitucional.mx:1010/23082024-08-28T03:17:52Z
dc.title.none.fl_str_mv Itinerary synchronization between PWL systems coupled with unidirectional links
title Itinerary synchronization between PWL systems coupled with unidirectional links
spellingShingle Itinerary synchronization between PWL systems coupled with unidirectional links
ANDRES ANZO HERNANDEZ
info:eu-repo/classification/Autor/Itinerary synchronization
info:eu-repo/classification/Autor/Chaos
info:eu-repo/classification/Autor/Dynamical networks
info:eu-repo/classification/Autor/Multiscroll attractor
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
title_short Itinerary synchronization between PWL systems coupled with unidirectional links
title_full Itinerary synchronization between PWL systems coupled with unidirectional links
title_fullStr Itinerary synchronization between PWL systems coupled with unidirectional links
title_full_unstemmed Itinerary synchronization between PWL systems coupled with unidirectional links
title_sort Itinerary synchronization between PWL systems coupled with unidirectional links
dc.creator.none.fl_str_mv ANDRES ANZO HERNANDEZ
Eric Campos Cantón
Matthew J. Nicol
author ANDRES ANZO HERNANDEZ
author_facet ANDRES ANZO HERNANDEZ
Eric Campos Cantón
Matthew J. Nicol
author_role author
author2 Eric Campos Cantón
Matthew J. Nicol
author2_role author
author
dc.subject.none.fl_str_mv info:eu-repo/classification/Autor/Itinerary synchronization
info:eu-repo/classification/Autor/Chaos
info:eu-repo/classification/Autor/Dynamical networks
info:eu-repo/classification/Autor/Multiscroll attractor
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
topic info:eu-repo/classification/Autor/Itinerary synchronization
info:eu-repo/classification/Autor/Chaos
info:eu-repo/classification/Autor/Dynamical networks
info:eu-repo/classification/Autor/Multiscroll attractor
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
description "In this paper the collective dynamics of N-coupled piecewise linear (PWL) systems with different number of scrolls is studied. The coupling is in a master-slave sequence configuration, with this type of coupling we investigate the synchrony behavior of a ring-connected network and a chain-connected network both with unidirectional links. Itinerary synchronization is used to detect synchrony behavior. Itinerary synchronization is defined in terms of the symbolic dynamics arising by assigning different numbers to the regions where the scrolls are generated. A weaker variant of this notion, epsilon-itinerary synchronization is also introduced and numerically investigated. It is shown that in certain parameter regimes if the inner connection between nodes takes account of all the state variables of the system (by which we mean that the inner coupling matrix is the identity matrix), then itinerary synchronization occurs and the coordinate motion is determined by the node with the smallest number of scrolls. Thus the collective behavior in all the nodes of the network is determined by the node with least scrolls in its attractor. Results about the dynamics in a directed chain topology are also presented. Depending on the inner connection properties, the nodes present multistability or preservation of the number of scrolls of the attractors."
publishDate 2019
dc.date.none.fl_str_mv 2019
info:eu-repo/date/embargoEnd/2021-05-31
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2308
url http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2308
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1016/j.cnsns.2018.10.020
citation:A. Anzo-Hernández, E. Campos-Cantón, Matthew Nicol, Itinerary synchronization between PWL systems coupled with unidirectional links, Communications in Nonlinear Science and Numerical Simulation, Volume 70, 2019, Pages 102-124, https://doi.org/10.1016/j.cnsns.2018.10.020.
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv embargoedAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositorio Institucional del IPICYT
instname:Instituto Potosino de Investigación Científica y Tecnológica
instacron:IPICYT
instname_str Instituto Potosino de Investigación Científica y Tecnológica
instacron_str IPICYT
institution IPICYT
reponame_str Repositorio Institucional del IPICYT
collection Repositorio Institucional del IPICYT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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