Naimark-Sacker bifurcations in linearly coupled quadratic maps

Bibliographic Details
Main Author: Rech P.C.*
Publication Date: 2004
Other Authors: Beims M.W., Gallas J.A.C.
Format: Conference object
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000b08f
Download full: https://repositorio.udesc.br/handle/UDESC/10431
Summary: We report exact analytical expressions locating the 0 → 1, 1 → 2 and 2 → 4 bifurcation curves for a prototypical system of two linearly coupled quadratic maps. Of interest is the precise location of the parameter sets where Naimark-Sacker bifurcations occur, starting from a non-diagonal period-2 orbit. This result is the key to understand the onset of synchronization in networks of quadratic maps. © 2004 Elsevier B.V. All rights reserved.
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spelling Naimark-Sacker bifurcations in linearly coupled quadratic mapsWe report exact analytical expressions locating the 0 → 1, 1 → 2 and 2 → 4 bifurcation curves for a prototypical system of two linearly coupled quadratic maps. Of interest is the precise location of the parameter sets where Naimark-Sacker bifurcations occur, starting from a non-diagonal period-2 orbit. This result is the key to understand the onset of synchronization in networks of quadratic maps. © 2004 Elsevier B.V. All rights reserved.2024-12-06T19:29:32Z2004info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectp. 351 - 3550378-437110.1016/j.physa.2004.04.105https://repositorio.udesc.br/handle/UDESC/10431ark:/33523/001300000b08fPhysica A: Statistical Mechanics and its Applications3421-2 SPEC. ISS.Rech P.C.*Beims M.W.Gallas J.A.C.engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T21:08:43Zoai:repositorio.udesc.br:UDESC/10431Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T21:08:43Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Naimark-Sacker bifurcations in linearly coupled quadratic maps
title Naimark-Sacker bifurcations in linearly coupled quadratic maps
spellingShingle Naimark-Sacker bifurcations in linearly coupled quadratic maps
Rech P.C.*
title_short Naimark-Sacker bifurcations in linearly coupled quadratic maps
title_full Naimark-Sacker bifurcations in linearly coupled quadratic maps
title_fullStr Naimark-Sacker bifurcations in linearly coupled quadratic maps
title_full_unstemmed Naimark-Sacker bifurcations in linearly coupled quadratic maps
title_sort Naimark-Sacker bifurcations in linearly coupled quadratic maps
author Rech P.C.*
author_facet Rech P.C.*
Beims M.W.
Gallas J.A.C.
author_role author
author2 Beims M.W.
Gallas J.A.C.
author2_role author
author
dc.contributor.author.fl_str_mv Rech P.C.*
Beims M.W.
Gallas J.A.C.
description We report exact analytical expressions locating the 0 → 1, 1 → 2 and 2 → 4 bifurcation curves for a prototypical system of two linearly coupled quadratic maps. Of interest is the precise location of the parameter sets where Naimark-Sacker bifurcations occur, starting from a non-diagonal period-2 orbit. This result is the key to understand the onset of synchronization in networks of quadratic maps. © 2004 Elsevier B.V. All rights reserved.
publishDate 2004
dc.date.none.fl_str_mv 2004
2024-12-06T19:29:32Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv 0378-4371
10.1016/j.physa.2004.04.105
https://repositorio.udesc.br/handle/UDESC/10431
dc.identifier.dark.fl_str_mv ark:/33523/001300000b08f
identifier_str_mv 0378-4371
10.1016/j.physa.2004.04.105
ark:/33523/001300000b08f
url https://repositorio.udesc.br/handle/UDESC/10431
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physica A: Statistical Mechanics and its Applications
342
1-2 SPEC. ISS.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 351 - 355
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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