Orbitas frenadas en sistemas mecánicos finslerianos

Given a mechanical system (M,K,U) where M is a n-dimensional variety and the kinetic and potential energy K and U are three times differentiable, let E0 be a potential energy value such that {X ϵ M|U(x) ≤ E0} is homeomorphic to the n-dimensional disk, and its border B is the E0-equipotential surface...

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Autores:: Ruiz M., Otto Raúl

Tipo de recurso:: Article of journal

Fecha de publicación:: 1983

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: spa

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spelling	Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Ruiz M., Otto Raúl8e8b4745-83cc-4313-ae7c-155454a331cb3002019-06-28T11:11:12Z2019-06-28T11:11:12Z1983https://repositorio.unal.edu.co/handle/unal/42783http://bdigital.unal.edu.co/32880/Given a mechanical system (M,K,U) where M is a n-dimensional variety and the kinetic and potential energy K and U are three times differentiable, let E0 be a potential energy value such that {X ϵ M\|U(x) ≤ E0} is homeomorphic to the n-dimensional disk, and its border B is the E0-equipotential surface. If (M,K,U) is a Finsler mechanical system, then any point of potential energy less than E0 can be joined to B by an orbit of total energy E0 which approaches a fixed point of B. If (M,K,U) is a Riemann mechanical system, the orbit can be made to turn back on itself after reaching B.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32470Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 17, núm. 1-2 (1983); 1-16 0034-7426Ruiz M., Otto Raúl (1983) Orbitas frenadas en sistemas mecánicos finslerianos. Revista Colombiana de Matemáticas; Vol. 17, núm. 1-2 (1983); 1-16 0034-7426 .Orbitas frenadas en sistemas mecánicos finslerianosArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTMechanical systemkinetic and potential energyhomeomorphicFinslermechanical systemRiemann / Sistema mecánicocinéticapotencial energéticohomeomorfoFinslersistema mecánicoRiemannORIGINAL32470-120106-1-PB.pdfapplication/pdf5919644https://repositorio.unal.edu.co/bitstream/unal/42783/1/32470-120106-1-PB.pdf2974d60943134d846696df9efcb53de1MD51THUMBNAIL32470-120106-1-PB.pdf.jpg32470-120106-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6320https://repositorio.unal.edu.co/bitstream/unal/42783/2/32470-120106-1-PB.pdf.jpg9681ecf4f5f80c16514456871f5c6da8MD52unal/42783oai:repositorio.unal.edu.co:unal/427832024-02-07 23:08:04.878Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv	Orbitas frenadas en sistemas mecánicos finslerianos
title	Orbitas frenadas en sistemas mecánicos finslerianos
spellingShingle	Orbitas frenadas en sistemas mecánicos finslerianos Mechanical system kinetic and potential energy homeomorphic Finsler mechanical system Riemann / Sistema mecánico cinética potencial energético homeomorfo Finsler sistema mecánico Riemann
title_short	Orbitas frenadas en sistemas mecánicos finslerianos
title_full	Orbitas frenadas en sistemas mecánicos finslerianos
title_fullStr	Orbitas frenadas en sistemas mecánicos finslerianos
title_full_unstemmed	Orbitas frenadas en sistemas mecánicos finslerianos
title_sort	Orbitas frenadas en sistemas mecánicos finslerianos
dc.creator.fl_str_mv	Ruiz M., Otto Raúl
dc.contributor.author.spa.fl_str_mv	Ruiz M., Otto Raúl
dc.subject.proposal.spa.fl_str_mv	Mechanical system kinetic and potential energy homeomorphic Finsler mechanical system Riemann / Sistema mecánico cinética potencial energético homeomorfo Finsler sistema mecánico Riemann
topic	Mechanical system kinetic and potential energy homeomorphic Finsler mechanical system Riemann / Sistema mecánico cinética potencial energético homeomorfo Finsler sistema mecánico Riemann
description	Given a mechanical system (M,K,U) where M is a n-dimensional variety and the kinetic and potential energy K and U are three times differentiable, let E0 be a potential energy value such that {X ϵ M\|U(x) ≤ E0} is homeomorphic to the n-dimensional disk, and its border B is the E0-equipotential surface. If (M,K,U) is a Finsler mechanical system, then any point of potential energy less than E0 can be joined to B by an orbit of total energy E0 which approaches a fixed point of B. If (M,K,U) is a Riemann mechanical system, the orbit can be made to turn back on itself after reaching B.
publishDate	1983
dc.date.issued.spa.fl_str_mv	1983
dc.date.accessioned.spa.fl_str_mv	2019-06-28T11:11:12Z
dc.date.available.spa.fl_str_mv	2019-06-28T11:11:12Z
dc.type.spa.fl_str_mv	Artículo de revista
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dc.relation.spa.fl_str_mv	http://revistas.unal.edu.co/index.php/recolma/article/view/32470
dc.relation.ispartof.spa.fl_str_mv	Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv	Revista Colombiana de Matemáticas; Vol. 17, núm. 1-2 (1983); 1-16 0034-7426
dc.relation.references.spa.fl_str_mv	Ruiz M., Otto Raúl (1983) Orbitas frenadas en sistemas mecánicos finslerianos. Revista Colombiana de Matemáticas; Vol. 17, núm. 1-2 (1983); 1-16 0034-7426 .
dc.rights.spa.fl_str_mv	Derechos reservados - Universidad Nacional de Colombia
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Orbitas frenadas en sistemas mecánicos finslerianos

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