Lissajous-like figures with triangular and square waves

Detalhes bibliográficos
Autor(a) principal: Flemming,J.
Data de Publicação: 2013
Outros Autores: Hornes,A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000300031
Resumo: We show a generalization of the well-known Lissajous figures, changing the two orthogonal simple harmonic oscillations to triangular and square-wave-type oscillations. All figures cross the origin of axes when there is no phase difference between the oscillations. Aside from this common feature, square-wave-type figures show a very different behavior, with discontinuous phase changes and impossibility of using a simple formula to get the frequency ratio between the two component oscillations.
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spelling Lissajous-like figures with triangular and square wavesLissajous figurestriangular and square wavesFourier analysisWe show a generalization of the well-known Lissajous figures, changing the two orthogonal simple harmonic oscillations to triangular and square-wave-type oscillations. All figures cross the origin of axes when there is no phase difference between the oscillations. Aside from this common feature, square-wave-type figures show a very different behavior, with discontinuous phase changes and impossibility of using a simple formula to get the frequency ratio between the two component oscillations.Sociedade Brasileira de Física2013-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000300031Revista Brasileira de Ensino de Física v.35 n.3 2013reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11172013000300031info:eu-repo/semantics/openAccessFlemming,J.Hornes,A.eng2013-10-31T00:00:00Zoai:scielo:S1806-11172013000300031Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2013-10-31T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Lissajous-like figures with triangular and square waves
title Lissajous-like figures with triangular and square waves
spellingShingle Lissajous-like figures with triangular and square waves
Flemming,J.
Lissajous figures
triangular and square waves
Fourier analysis
title_short Lissajous-like figures with triangular and square waves
title_full Lissajous-like figures with triangular and square waves
title_fullStr Lissajous-like figures with triangular and square waves
title_full_unstemmed Lissajous-like figures with triangular and square waves
title_sort Lissajous-like figures with triangular and square waves
author Flemming,J.
author_facet Flemming,J.
Hornes,A.
author_role author
author2 Hornes,A.
author2_role author
dc.contributor.author.fl_str_mv Flemming,J.
Hornes,A.
dc.subject.por.fl_str_mv Lissajous figures
triangular and square waves
Fourier analysis
topic Lissajous figures
triangular and square waves
Fourier analysis
description We show a generalization of the well-known Lissajous figures, changing the two orthogonal simple harmonic oscillations to triangular and square-wave-type oscillations. All figures cross the origin of axes when there is no phase difference between the oscillations. Aside from this common feature, square-wave-type figures show a very different behavior, with discontinuous phase changes and impossibility of using a simple formula to get the frequency ratio between the two component oscillations.
publishDate 2013
dc.date.none.fl_str_mv 2013-09-01
dc.type.driver.fl_str_mv 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://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000300031
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000300031
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11172013000300031
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.35 n.3 2013
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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