Dynamics of a Switched by Hysteresis Linear System in R2

This paper examines the local and global behavior of a two-variable piece-wise smooth dynamic system by studying the flow of two non- homogeneous linear dynamic systems that switch on the boundaries of a hysteresis band. Both equilibrium solutions and parametric domains that guarantee the existence...

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Autores:
Cerón, Jhon
Amador, Jorge
Olivar, Gerard
Tipo de recurso:
Fecha de publicación:
2017
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/13169
Acceso en línea:
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/4014
http://hdl.handle.net/10784/13169
Palabra clave:
Hysteresis
Periodic orbit
Piece-wise dynamic systems
Basins of attraction
Histéresis
Órbita periódica
Sistemas dinámicos suaves a trozos
Dominios de atracción
Rights
License
Copyright (c) 2017 Jhon Ceron, Jorge Amador, Gerard Olivar
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spelling 2017-04-242018-11-16T16:28:54Z2017-04-242018-11-16T16:28:54Z2256-43141794-9165http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/4014http://hdl.handle.net/10784/1316910.17230/ingciencia.13.25.1This paper examines the local and global behavior of a two-variable piece-wise smooth dynamic system by studying the flow of two non- homogeneous linear dynamic systems that switch on the boundaries of a hysteresis band. Both equilibrium solutions and parametric domains that guarantee the existence of periodic orbits within the band, were determined analytically. While, phase portraits and basins of attraction of the system for different values of the parameters were performed through numerical simulations. Results show the coexistence of multiple stationary states of different types when different parameter values are used.En este artículo se analiza el comportamiento local y global de un sistema dinámico suave a trozos en dos variables, estudiando el flujo de dos sistemas dinámicos lineales no homogéneos que conmutan con las fronteras de una banda de histéresis. Analíticamente se determinan las soluciones de equilibrio y los dominios paramétricos que garantizan la existencia de órbitas periódicas entre la banda. Se realizan simulaciones numéricas para obtener los retratos de fases y los dominios de atracción con diferentes valores de los parámetros. Los resultados muestran la coexistencia de múltiples estados estacionarios de diferente tipo para determinados valores de los parámetros.application/pdfspaUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/4014Copyright (c) 2017 Jhon Ceron, Jorge Amador, Gerard OlivarAttribution 4.0 International (CC BY 4.0)http://creativecommons.org/licenses/by/4.0Acceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 13 No 25 (2017); 9-28Ingeniería y Ciencia; Vol 13 No 25 (2017); 9-28Dynamics of a Switched by Hysteresis Linear System in R2Dinámica de un sistema lineal en R2 conmutado por histéresisinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionarticlepublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1HysteresisPeriodic orbitPiece-wise dynamic systemsBasins of attractionHistéresisÓrbita periódicaSistemas dinámicos suaves a trozosDominios de atracciónCerón, JhonAmador, JorgeOlivar, GerardInstitución Universitaria CESMAGUniversidad Nacional de Colombia, Sede ManizalesIngeniería y Ciencia1325928ing.ciencTHUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/cda7ec72-3f78-4591-8ea0-16c9413eb640/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINAL1.pdf1.pdfTexto completo PDFapplication/pdf1725948https://repository.eafit.edu.co/bitstreams/dc76f500-a465-4116-b614-794fb5f903b9/download5da96acedc40aaa00c893d15a161a5f2MD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html374https://repository.eafit.edu.co/bitstreams/42999289-ae1e-42db-b233-69f0ef5d9b25/downloadd745b56a4e66e1ef0ea2643784a53c07MD5310784/13169oai:repository.eafit.edu.co:10784/131692020-03-01 17:39:21.74http://creativecommons.org/licenses/by/4.0Copyright (c) 2017 Jhon Ceron, Jorge Amador, Gerard Olivaropen.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Dynamics of a Switched by Hysteresis Linear System in R2
dc.title.spa.fl_str_mv Dinámica de un sistema lineal en R2 conmutado por histéresis
title Dynamics of a Switched by Hysteresis Linear System in R2
spellingShingle Dynamics of a Switched by Hysteresis Linear System in R2
Hysteresis
Periodic orbit
Piece-wise dynamic systems
Basins of attraction
Histéresis
Órbita periódica
Sistemas dinámicos suaves a trozos
Dominios de atracción
title_short Dynamics of a Switched by Hysteresis Linear System in R2
title_full Dynamics of a Switched by Hysteresis Linear System in R2
title_fullStr Dynamics of a Switched by Hysteresis Linear System in R2
title_full_unstemmed Dynamics of a Switched by Hysteresis Linear System in R2
title_sort Dynamics of a Switched by Hysteresis Linear System in R2
dc.creator.fl_str_mv Cerón, Jhon
Amador, Jorge
Olivar, Gerard
dc.contributor.author.none.fl_str_mv Cerón, Jhon
Amador, Jorge
Olivar, Gerard
dc.contributor.affiliation.spa.fl_str_mv Institución Universitaria CESMAG
Universidad Nacional de Colombia, Sede Manizales
dc.subject.keyword.eng.fl_str_mv Hysteresis
Periodic orbit
Piece-wise dynamic systems
Basins of attraction
topic Hysteresis
Periodic orbit
Piece-wise dynamic systems
Basins of attraction
Histéresis
Órbita periódica
Sistemas dinámicos suaves a trozos
Dominios de atracción
dc.subject.keyword.spa.fl_str_mv Histéresis
Órbita periódica
Sistemas dinámicos suaves a trozos
Dominios de atracción
description This paper examines the local and global behavior of a two-variable piece-wise smooth dynamic system by studying the flow of two non- homogeneous linear dynamic systems that switch on the boundaries of a hysteresis band. Both equilibrium solutions and parametric domains that guarantee the existence of periodic orbits within the band, were determined analytically. While, phase portraits and basins of attraction of the system for different values of the parameters were performed through numerical simulations. Results show the coexistence of multiple stationary states of different types when different parameter values are used.
publishDate 2017
dc.date.issued.none.fl_str_mv 2017-04-24
dc.date.available.none.fl_str_mv 2018-11-16T16:28:54Z
dc.date.accessioned.none.fl_str_mv 2018-11-16T16:28:54Z
dc.date.none.fl_str_mv 2017-04-24
dc.type.eng.fl_str_mv info:eu-repo/semantics/article
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article
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1794-9165
dc.identifier.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/4014
http://hdl.handle.net/10784/13169
dc.identifier.doi.none.fl_str_mv 10.17230/ingciencia.13.25.1
identifier_str_mv 2256-4314
1794-9165
10.17230/ingciencia.13.25.1
url http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/4014
http://hdl.handle.net/10784/13169
dc.language.iso.none.fl_str_mv spa
language spa
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/4014
dc.rights.eng.fl_str_mv Copyright (c) 2017 Jhon Ceron, Jorge Amador, Gerard Olivar
Attribution 4.0 International (CC BY 4.0)
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.uri.none.fl_str_mv http://creativecommons.org/licenses/by/4.0
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright (c) 2017 Jhon Ceron, Jorge Amador, Gerard Olivar
Attribution 4.0 International (CC BY 4.0)
http://creativecommons.org/licenses/by/4.0
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.eng.fl_str_mv Ingeniería y Ciencia; Vol 13 No 25 (2017); 9-28
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 13 No 25 (2017); 9-28
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
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