Preservation of a two-wing Lorenz-like attractor with stable equilibria

"In this paper, we present the preservation of a two-wing Lorenz-like attractor when in the Lorenz system a feedback control is applied, making two of its equilibria a sink. The forced system is capable of generating bistability and the trajectory settles down at one stable equilibrium point de...

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Detalhes bibliográficos
Autores: Luis Javier Ortañón García Pimentel, Eric Campos Cantón
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:2013
País:México
Recursos:Instituto Potosino de Investigación Científica y Tecnológica
Repositório:Repositorio Institucional del IPICYT
OAI Identifier:oai:ipicyt.repositorioinstitucional.mx:1010/1756
Acesso em linha:http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1756
Access Level:Acceso aberto
Palavra-chave:info:eu-repo/classification/Autor/Synchronization
info:eu-repo/classification/Autor/Chaos
info:eu-repo/classification/Autor/Systems
info:eu-repo/classification/Autor/Bifurcations
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
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spelling Preservation of a two-wing Lorenz-like attractor with stable equilibriaLuis Javier Ortañón García PimentelEric Campos Cantóninfo:eu-repo/classification/Autor/Synchronizationinfo:eu-repo/classification/Autor/Chaosinfo:eu-repo/classification/Autor/Systemsinfo:eu-repo/classification/Autor/Bifurcationsinfo:eu-repo/classification/cti/1info:eu-repo/classification/cti/12info:eu-repo/classification/cti/12"In this paper, we present the preservation of a two-wing Lorenz-like attractor when in the Lorenz system a feedback control is applied, making two of its equilibria a sink. The forced system is capable of generating bistability and the trajectory settles down at one stable equilibrium point depending on the initial condition when the forced signal is zero. Due to a variation in the coupling strength of the control signal the symmetric equilibria of the Lorenz system move causing the basins of attraction to be the dynamic bounded regions that change accordingly. Thus, the preservation of a two-wing Lorenz-like attractor is possible using a switched control law between these dynamic basins of attraction. The forced switched systems also preserve multistability regarding the coupling strength and present multivalued synchronization according to the basin of attraction in which they were initialized. Bifurcations of the controlled system are used to exemplify the different basins generated by the forcing. An illustrative example is given to demonstrate the approach proposed."Elsevier2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1756reponame:Repositorio Institucional del IPICYTinstname:Instituto Potosino de Investigación Científica y Tecnológicainstacron:IPICYTinfo:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1016/j.jfranklin.2013.04.018citation:L.J. Ontañón García, E. Campos-Cantón, Preservation of a two-wing Lorenz-like attractor with stable equilibria, Journal of the Franklin Institute, Volume 350, Issue 10, 2013, Pages 2867-2880.info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0oai:ipicyt.repositorioinstitucional.mx:1010/17562024-08-28T03:17:45Z
dc.title.none.fl_str_mv Preservation of a two-wing Lorenz-like attractor with stable equilibria
title Preservation of a two-wing Lorenz-like attractor with stable equilibria
spellingShingle Preservation of a two-wing Lorenz-like attractor with stable equilibria
Luis Javier Ortañón García Pimentel
info:eu-repo/classification/Autor/Synchronization
info:eu-repo/classification/Autor/Chaos
info:eu-repo/classification/Autor/Systems
info:eu-repo/classification/Autor/Bifurcations
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
title_short Preservation of a two-wing Lorenz-like attractor with stable equilibria
title_full Preservation of a two-wing Lorenz-like attractor with stable equilibria
title_fullStr Preservation of a two-wing Lorenz-like attractor with stable equilibria
title_full_unstemmed Preservation of a two-wing Lorenz-like attractor with stable equilibria
title_sort Preservation of a two-wing Lorenz-like attractor with stable equilibria
dc.creator.none.fl_str_mv Luis Javier Ortañón García Pimentel
Eric Campos Cantón
author Luis Javier Ortañón García Pimentel
author_facet Luis Javier Ortañón García Pimentel
Eric Campos Cantón
author_role author
author2 Eric Campos Cantón
author2_role author
dc.subject.none.fl_str_mv info:eu-repo/classification/Autor/Synchronization
info:eu-repo/classification/Autor/Chaos
info:eu-repo/classification/Autor/Systems
info:eu-repo/classification/Autor/Bifurcations
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
topic info:eu-repo/classification/Autor/Synchronization
info:eu-repo/classification/Autor/Chaos
info:eu-repo/classification/Autor/Systems
info:eu-repo/classification/Autor/Bifurcations
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
description "In this paper, we present the preservation of a two-wing Lorenz-like attractor when in the Lorenz system a feedback control is applied, making two of its equilibria a sink. The forced system is capable of generating bistability and the trajectory settles down at one stable equilibrium point depending on the initial condition when the forced signal is zero. Due to a variation in the coupling strength of the control signal the symmetric equilibria of the Lorenz system move causing the basins of attraction to be the dynamic bounded regions that change accordingly. Thus, the preservation of a two-wing Lorenz-like attractor is possible using a switched control law between these dynamic basins of attraction. The forced switched systems also preserve multistability regarding the coupling strength and present multivalued synchronization according to the basin of attraction in which they were initialized. Bifurcations of the controlled system are used to exemplify the different basins generated by the forcing. An illustrative example is given to demonstrate the approach proposed."
publishDate 2013
dc.date.none.fl_str_mv 2013
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/1010/1756
url http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1756
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/DOI/https://doi.org/10.1016/j.jfranklin.2013.04.018
citation:L.J. Ontañón García, E. Campos-Cantón, Preservation of a two-wing Lorenz-like attractor with stable equilibria, Journal of the Franklin Institute, Volume 350, Issue 10, 2013, Pages 2867-2880.
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
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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