On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems

Detalhes bibliográficos
Autor(a) principal: Almeida,M. A.
Data de Publicação: 1998
Outros Autores: Moreira,I. C., Santos,F. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331998000400022
Resumo: In this paper we use the Ziglin-Yoshida method to discuss the determination of non-integrability domains for some classes of homogeneous hamiltonian systems. In particular, we demonstrate the non-integrability of Störmer problem through the reduction of the system to a two-dimensional homogeneous potential. We have also found the non-integrability domains of potentials of the form <img src="http:/img/fbpe/bjp/v28n4/image197.gif" alt="Image197.gif (1160 bytes)" align="top"> and <img src="http:/img/fbpe/bjp/v28n4/image199.gif" alt="Image199.gif (1022 bytes)" align="top">.
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spelling On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systemsIn this paper we use the Ziglin-Yoshida method to discuss the determination of non-integrability domains for some classes of homogeneous hamiltonian systems. In particular, we demonstrate the non-integrability of Störmer problem through the reduction of the system to a two-dimensional homogeneous potential. We have also found the non-integrability domains of potentials of the form <img src="http:/img/fbpe/bjp/v28n4/image197.gif" alt="Image197.gif (1160 bytes)" align="top"> and <img src="http:/img/fbpe/bjp/v28n4/image199.gif" alt="Image199.gif (1022 bytes)" align="top">.Sociedade Brasileira de Física1998-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331998000400022Brazilian Journal of Physics v.28 n.4 1998reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97331998000400022info:eu-repo/semantics/openAccessAlmeida,M. A.Moreira,I. C.Santos,F. C.eng1999-08-26T00:00:00Zoai:scielo:S0103-97331998000400022Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:1999-08-26T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems
title On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems
spellingShingle On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems
Almeida,M. A.
title_short On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems
title_full On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems
title_fullStr On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems
title_full_unstemmed On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems
title_sort On the Ziglin-Yoshida analysis for some classes of homogeneous hamiltonian systems
author Almeida,M. A.
author_facet Almeida,M. A.
Moreira,I. C.
Santos,F. C.
author_role author
author2 Moreira,I. C.
Santos,F. C.
author2_role author
author
dc.contributor.author.fl_str_mv Almeida,M. A.
Moreira,I. C.
Santos,F. C.
description In this paper we use the Ziglin-Yoshida method to discuss the determination of non-integrability domains for some classes of homogeneous hamiltonian systems. In particular, we demonstrate the non-integrability of Störmer problem through the reduction of the system to a two-dimensional homogeneous potential. We have also found the non-integrability domains of potentials of the form <img src="http:/img/fbpe/bjp/v28n4/image197.gif" alt="Image197.gif (1160 bytes)" align="top"> and <img src="http:/img/fbpe/bjp/v28n4/image199.gif" alt="Image199.gif (1022 bytes)" align="top">.
publishDate 1998
dc.date.none.fl_str_mv 1998-12-01
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=S0103-97331998000400022
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331998000400022
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97331998000400022
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 Brazilian Journal of Physics v.28 n.4 1998
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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