Infinite hierarchies of nonlinearly dependent periodic orbits

Detalhes bibliográficos
Autor(a) principal: Gallas, Jason Alfredo Carlson
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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spelling 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
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dc.language.iso.fl_str_mv eng
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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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