Infinite hierarchies of nonlinearly dependent periodic orbits
Autor(a) principal: | |
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Data de Publicação: | 2001 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/103652 |
Resumo: | Quadratic maps are used to show explicitly that the skeleton of unstable periodic orbits underlying classical and quantum dynamics is stratified into a doubly infinite hierarchy of orbits inherited from a set of basic ‘‘seeds’’ through certain nonlinear transformations Tα(x). The hierarchy contains nonunique substructurings which arise from the different possibilities of sequencing the transformations Tα(x). The structuring of the orbital skeleton is shown to be generic for Abelian equations, i.e., for all dynamical systems generated by iterating rational functions. |
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Gallas, Jason Alfredo Carlson2014-09-23T02:12:38Z20011539-3755http://hdl.handle.net/10183/103652000281944Quadratic maps are used to show explicitly that the skeleton of unstable periodic orbits underlying classical and quantum dynamics is stratified into a doubly infinite hierarchy of orbits inherited from a set of basic ‘‘seeds’’ through certain nonlinear transformations Tα(x). The hierarchy contains nonunique substructurings which arise from the different possibilities of sequencing the transformations Tα(x). The structuring of the orbital skeleton is shown to be generic for Abelian equations, i.e., for all dynamical systems generated by iterating rational functions.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 63, no. 1 (Jan. 2001), 016216, 5 p.FísicaInfinite hierarchies of nonlinearly dependent periodic orbitsEstrangeiroinfo: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:UFRGSORIGINAL000281944.pdf000281944.pdfTexto completo (inglês)application/pdf61105http://www.lume.ufrgs.br/bitstream/10183/103652/1/000281944.pdfd9b1b1e7765c9f8577745a8cc260a31aMD51TEXT000281944.pdf.txt000281944.pdf.txtExtracted Texttext/plain20875http://www.lume.ufrgs.br/bitstream/10183/103652/2/000281944.pdf.txt3fb0d3ed82cc5d026e3834223db28410MD52THUMBNAIL000281944.pdf.jpg000281944.pdf.jpgGenerated Thumbnailimage/jpeg1944http://www.lume.ufrgs.br/bitstream/10183/103652/3/000281944.pdf.jpg6e7e5b77b532d204d24a89e694fa8b75MD5310183/1036522024-03-28 06:25:21.043265oai:www.lume.ufrgs.br:10183/103652Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-03-28T09:25:21Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Infinite hierarchies of nonlinearly dependent periodic orbits |
title |
Infinite hierarchies of nonlinearly dependent periodic orbits |
spellingShingle |
Infinite hierarchies of nonlinearly dependent periodic orbits Gallas, Jason Alfredo Carlson Física |
title_short |
Infinite hierarchies of nonlinearly dependent periodic orbits |
title_full |
Infinite hierarchies of nonlinearly dependent periodic orbits |
title_fullStr |
Infinite hierarchies of nonlinearly dependent periodic orbits |
title_full_unstemmed |
Infinite hierarchies of nonlinearly dependent periodic orbits |
title_sort |
Infinite hierarchies of nonlinearly dependent periodic orbits |
author |
Gallas, Jason Alfredo Carlson |
author_facet |
Gallas, Jason Alfredo Carlson |
author_role |
author |
dc.contributor.author.fl_str_mv |
Gallas, Jason Alfredo Carlson |
dc.subject.por.fl_str_mv |
Física |
topic |
Física |
description |
Quadratic maps are used to show explicitly that the skeleton of unstable periodic orbits underlying classical and quantum dynamics is stratified into a doubly infinite hierarchy of orbits inherited from a set of basic ‘‘seeds’’ through certain nonlinear transformations Tα(x). The hierarchy contains nonunique substructurings which arise from the different possibilities of sequencing the transformations Tα(x). The structuring of the orbital skeleton is shown to be generic for Abelian equations, i.e., for all dynamical systems generated by iterating rational functions. |
publishDate |
2001 |
dc.date.issued.fl_str_mv |
2001 |
dc.date.accessioned.fl_str_mv |
2014-09-23T02:12:38Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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article |
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dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/103652 |
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1539-3755 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000281944 |
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1539-3755 000281944 |
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http://hdl.handle.net/10183/103652 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 63, no. 1 (Jan. 2001), 016216, 5 p. |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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