Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation

Bibliographic Details
Main Author: Rech P.C.*
Publication Date: 2013
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000k8zd
Download full: https://repositorio.udesc.br/handle/UDESC/8844
Summary: Parameter plane plots related to a periodically forced compound Korteweg-de Vries-Burgers system, which is modeled by a third-order partial differential equation, are reported. It is shown that typical periodic structures embedded in a chaotic region in these parameter planes, organize themselves in different ways. There are bifurcation sequences whose periods have a well-defined law of formation, that may be written in a closed form, and there are bifurcation sequences self-organized in period-adding cascades. © 2013 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
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spelling Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equationParameter plane plots related to a periodically forced compound Korteweg-de Vries-Burgers system, which is modeled by a third-order partial differential equation, are reported. It is shown that typical periodic structures embedded in a chaotic region in these parameter planes, organize themselves in different ways. There are bifurcation sequences whose periods have a well-defined law of formation, that may be written in a closed form, and there are bifurcation sequences self-organized in period-adding cascades. © 2013 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.2024-12-06T14:32:13Z2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1434-603610.1140/epjb/e2013-40238-5https://repositorio.udesc.br/handle/UDESC/8844ark:/33523/001300000k8zdEuropean Physical Journal B868Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:59:05Zoai:repositorio.udesc.br:UDESC/8844Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:59:05Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
title Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
spellingShingle Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
Rech P.C.*
title_short Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
title_full Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
title_fullStr Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
title_full_unstemmed Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
title_sort Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
author Rech P.C.*
author_facet Rech P.C.*
author_role author
dc.contributor.author.fl_str_mv Rech P.C.*
description Parameter plane plots related to a periodically forced compound Korteweg-de Vries-Burgers system, which is modeled by a third-order partial differential equation, are reported. It is shown that typical periodic structures embedded in a chaotic region in these parameter planes, organize themselves in different ways. There are bifurcation sequences whose periods have a well-defined law of formation, that may be written in a closed form, and there are bifurcation sequences self-organized in period-adding cascades. © 2013 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
publishDate 2013
dc.date.none.fl_str_mv 2013
2024-12-06T14:32:13Z
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 1434-6036
10.1140/epjb/e2013-40238-5
https://repositorio.udesc.br/handle/UDESC/8844
dc.identifier.dark.fl_str_mv ark:/33523/001300000k8zd
identifier_str_mv 1434-6036
10.1140/epjb/e2013-40238-5
ark:/33523/001300000k8zd
url https://repositorio.udesc.br/handle/UDESC/8844
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv European Physical Journal B
86
8
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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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