Gap bifurcations in nonlinear dynamical systems

Detalhes bibliográficos
Autor(a) principal: Rizzato, Felipe Barbedo
Data de Publicação: 2002
Outros Autores: Pakter, Renato
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/100094
Resumo: We investigate the dynamics generated by a type of equation which is common to a variety of physical systems where the undesirable effects of a number of self-consistent nonlinear forces are balanced by an externally imposed controlling harmonic force. We show that the equation presents a new sequence of bifurcations where periodic orbits are created and destroyed in such a nonsimultaneous way that may leave the appropriate phase-space occasionally empty of fundamental harmonic orbits and confined trajectories. A generic analytical model is developed and compared with a concrete physical example.
id UFRGS-2_aedfb953610c9a2e3b9eb20bc7f57a2c
oai_identifier_str oai:www.lume.ufrgs.br:10183/100094
network_acronym_str UFRGS-2
network_name_str Repositório Institucional da UFRGS
repository_id_str
spelling Rizzato, Felipe BarbedoPakter, Renato2014-08-12T02:10:23Z20020031-9007http://hdl.handle.net/10183/100094000334232We investigate the dynamics generated by a type of equation which is common to a variety of physical systems where the undesirable effects of a number of self-consistent nonlinear forces are balanced by an externally imposed controlling harmonic force. We show that the equation presents a new sequence of bifurcations where periodic orbits are created and destroyed in such a nonsimultaneous way that may leave the appropriate phase-space occasionally empty of fundamental harmonic orbits and confined trajectories. A generic analytical model is developed and compared with a concrete physical example.application/pdfengPhysical review letters. Melville. Vol. 89, no. 18 (Oct. 2002), 184102 4p.BifurcaçãoSistemas dinâmicos não-linearesGap bifurcations in nonlinear dynamical systemsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000334232.pdf000334232.pdfTexto completo (inglês)application/pdf293358http://www.lume.ufrgs.br/bitstream/10183/100094/1/000334232.pdf2c63e05fd895d500b0a048c5b64347c1MD51TEXT000334232.pdf.txt000334232.pdf.txtExtracted Texttext/plain20583http://www.lume.ufrgs.br/bitstream/10183/100094/2/000334232.pdf.txtb4850acc787bd586cd8d773072b6b9cdMD52THUMBNAIL000334232.pdf.jpg000334232.pdf.jpgGenerated Thumbnailimage/jpeg2169http://www.lume.ufrgs.br/bitstream/10183/100094/3/000334232.pdf.jpg413405dfadc6f35e14a057b2e79b9636MD5310183/1000942023-08-31 03:33:51.900513oai:www.lume.ufrgs.br:10183/100094Repositório InstitucionalPUBhttps://lume.ufrgs.br/oai/requestlume@ufrgs.bropendoar:2023-08-31T06:33:51Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Gap bifurcations in nonlinear dynamical systems
title Gap bifurcations in nonlinear dynamical systems
spellingShingle Gap bifurcations in nonlinear dynamical systems
Rizzato, Felipe Barbedo
Bifurcação
Sistemas dinâmicos não-lineares
title_short Gap bifurcations in nonlinear dynamical systems
title_full Gap bifurcations in nonlinear dynamical systems
title_fullStr Gap bifurcations in nonlinear dynamical systems
title_full_unstemmed Gap bifurcations in nonlinear dynamical systems
title_sort Gap bifurcations in nonlinear dynamical systems
author Rizzato, Felipe Barbedo
author_facet Rizzato, Felipe Barbedo
Pakter, Renato
author_role author
author2 Pakter, Renato
author2_role author
dc.contributor.author.fl_str_mv Rizzato, Felipe Barbedo
Pakter, Renato
dc.subject.por.fl_str_mv Bifurcação
Sistemas dinâmicos não-lineares
topic Bifurcação
Sistemas dinâmicos não-lineares
description We investigate the dynamics generated by a type of equation which is common to a variety of physical systems where the undesirable effects of a number of self-consistent nonlinear forces are balanced by an externally imposed controlling harmonic force. We show that the equation presents a new sequence of bifurcations where periodic orbits are created and destroyed in such a nonsimultaneous way that may leave the appropriate phase-space occasionally empty of fundamental harmonic orbits and confined trajectories. A generic analytical model is developed and compared with a concrete physical example.
publishDate 2002
dc.date.issued.fl_str_mv 2002
dc.date.accessioned.fl_str_mv 2014-08-12T02:10:23Z
dc.type.driver.fl_str_mv Estrangeiro
info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/100094
dc.identifier.issn.pt_BR.fl_str_mv 0031-9007
dc.identifier.nrb.pt_BR.fl_str_mv 000334232
identifier_str_mv 0031-9007
000334232
url http://hdl.handle.net/10183/100094
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv Physical review letters. Melville. Vol. 89, no. 18 (Oct. 2002), 184102 4p.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRGS
instname:Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
instname_str Universidade Federal do Rio Grande do Sul (UFRGS)
instacron_str UFRGS
institution UFRGS
reponame_str Repositório Institucional da UFRGS
collection Repositório Institucional da UFRGS
bitstream.url.fl_str_mv http://www.lume.ufrgs.br/bitstream/10183/100094/1/000334232.pdf
http://www.lume.ufrgs.br/bitstream/10183/100094/2/000334232.pdf.txt
http://www.lume.ufrgs.br/bitstream/10183/100094/3/000334232.pdf.jpg
bitstream.checksum.fl_str_mv 2c63e05fd895d500b0a048c5b64347c1
b4850acc787bd586cd8d773072b6b9cd
413405dfadc6f35e14a057b2e79b9636
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)
repository.mail.fl_str_mv lume@ufrgs.br
_version_ 1824427197314629632

Registros relacionados