Structure of the Velocity during a Chaotic Episode

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An investigation on the structure of the velocity in the nonlinear damped and forced oscillator, during a chaotic episode has been carried out. It has been found that the extreme values of the velocity show a bifurcating cascade as time elapses, just like the cascade detected in the extremes of osci...

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Detalles Bibliográficos
Autor: Montenegro Joo, Javier
Formato: artículo
Fecha de Publicación:2015
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Lenguaje:español
OAI Identifier:oai:ojs.csi.unmsm:article/11582
Enlace del recurso:https://revistasinvestigacion.unmsm.edu.pe/index.php/fisica/article/view/11582
Nivel de acceso:acceso abierto
Materia:Non-linear oscillations
chaos
displacement
velocity
Poincare Maps
Oscilaciones no-lineales
caos
desplazamiento
velocidad
Mapas de Poincaré
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spelling Structure of the Velocity during a Chaotic EpisodeEstructura de la velocidad durante un episodio caóticoMontenegro Joo, JavierNon-linear oscillationschaosdisplacementvelocityPoincare MapsOscilaciones no-linealescaosdesplazamientovelocidadMapas de PoincaréAn investigation on the structure of the velocity in the nonlinear damped and forced oscillator, during a chaotic episode has been carried out. It has been found that the extreme values of the velocity show a bifurcating cascade as time elapses, just like the cascade detected in the extremes of oscillation amplitudes versus time, which leads to the very well-known bifurcation cascade of the periods during a chaotic event. It has been encountered that displacement and velocity during a chaotic episode in the investigated system, keep both the same structure. This similar structure detected in displacement and velocity suggests the possibility that these two magnitudes share the same pattern in other chaotic systems.Se ha realizado una investigación sobre la estructura de la velocidad en el oscilador no-lineal forzado y amortiguado durante un episodio caótico. Se ha encontrado que los valores extremos de la velocidad muestran una cascada de bifurcación a medida que transcurre el tiempo, tal como la que se observa en los valores extremos de la amplitud de oscilación versus tiempo, lo cual conduce a la muy bien conocida cascada de bifurcación del periodo de la oscilación durante un episodio caótico. Se ha encontrado que el desplazamiento y la velocidad durante un evento caótico en el sistema investigado, mantienen ambos la misma estructura. La estructura similar detectada en el desplazamiento y la velocidad sugiere la posibilidad de que estas dos magnitudes manifiesten el mismo esquema en otros sistemas caóticos.Universidad Nacional Mayor de San Marcos2015-12-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistasinvestigacion.unmsm.edu.pe/index.php/fisica/article/view/1158210.15381/rif.v18i2.11582Revista de Investigación de Física; Vol. 18 No. 2 (2015)Revista de Investigación de Física; Vol. 18 Núm. 2 (2015)1728-29771605-7724reponame:Revistas - Universidad Nacional Mayor de San Marcosinstname:Universidad Nacional Mayor de San Marcosinstacron:UNMSMspahttps://revistasinvestigacion.unmsm.edu.pe/index.php/fisica/article/view/11582/10388Derechos de autor 2015 Javier Montenegro Joohttps://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessoai:ojs.csi.unmsm:article/115822017-09-05T15:56:02Z
dc.title.none.fl_str_mv Structure of the Velocity during a Chaotic Episode
Estructura de la velocidad durante un episodio caótico
title Structure of the Velocity during a Chaotic Episode
spellingShingle Structure of the Velocity during a Chaotic Episode
Montenegro Joo, Javier
Non-linear oscillations
chaos
displacement
velocity
Poincare Maps
Oscilaciones no-lineales
caos
desplazamiento
velocidad
Mapas de Poincaré
title_short Structure of the Velocity during a Chaotic Episode
title_full Structure of the Velocity during a Chaotic Episode
title_fullStr Structure of the Velocity during a Chaotic Episode
title_full_unstemmed Structure of the Velocity during a Chaotic Episode
title_sort Structure of the Velocity during a Chaotic Episode
dc.creator.none.fl_str_mv Montenegro Joo, Javier
author Montenegro Joo, Javier
author_facet Montenegro Joo, Javier
author_role author
dc.subject.none.fl_str_mv Non-linear oscillations
chaos
displacement
velocity
Poincare Maps
Oscilaciones no-lineales
caos
desplazamiento
velocidad
Mapas de Poincaré
topic Non-linear oscillations
chaos
displacement
velocity
Poincare Maps
Oscilaciones no-lineales
caos
desplazamiento
velocidad
Mapas de Poincaré
description An investigation on the structure of the velocity in the nonlinear damped and forced oscillator, during a chaotic episode has been carried out. It has been found that the extreme values of the velocity show a bifurcating cascade as time elapses, just like the cascade detected in the extremes of oscillation amplitudes versus time, which leads to the very well-known bifurcation cascade of the periods during a chaotic event. It has been encountered that displacement and velocity during a chaotic episode in the investigated system, keep both the same structure. This similar structure detected in displacement and velocity suggests the possibility that these two magnitudes share the same pattern in other chaotic systems.
publishDate 2015
dc.date.none.fl_str_mv 2015-12-15
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/fisica/article/view/11582
10.15381/rif.v18i2.11582
url https://revistasinvestigacion.unmsm.edu.pe/index.php/fisica/article/view/11582
identifier_str_mv 10.15381/rif.v18i2.11582
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/fisica/article/view/11582/10388
dc.rights.none.fl_str_mv Derechos de autor 2015 Javier Montenegro Joo
https://creativecommons.org/licenses/by-nc-sa/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2015 Javier Montenegro Joo
https://creativecommons.org/licenses/by-nc-sa/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos
publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos
dc.source.none.fl_str_mv Revista de Investigación de Física; Vol. 18 No. 2 (2015)
Revista de Investigación de Física; Vol. 18 Núm. 2 (2015)
1728-2977
1605-7724
reponame:Revistas - Universidad Nacional Mayor de San Marcos
instname:Universidad Nacional Mayor de San Marcos
instacron:UNMSM
instname_str Universidad Nacional Mayor de San Marcos
instacron_str UNMSM
institution UNMSM
reponame_str Revistas - Universidad Nacional Mayor de San Marcos
collection Revistas - Universidad Nacional Mayor de San Marcos
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.87115
Structure of the Velocity during a Chaotic Episode
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