The phase portrait of the Hamiltonian system associated to a Pinchuk map

Detalhes bibliográficos
Autor(a) principal: ARTÉS,JOAN CARLES
Data de Publicação: 2018
Outros Autores: BRAUN,FRANCISCO, LLIBRE,JAUME
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602599
Resumo: Abstract In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincaré disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canonical regions, six of them of type strip and one annular.
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spelling The phase portrait of the Hamiltonian system associated to a Pinchuk mapcenterglobal injectivityreal Jacobian conjecturePinchuk mapAbstract In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincaré disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canonical regions, six of them of type strip and one annular.Academia Brasileira de Ciências2018-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602599Anais da Academia Brasileira de Ciências v.90 n.3 2018reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/0001-3765201820170829info:eu-repo/semantics/openAccessARTÉS,JOAN CARLESBRAUN,FRANCISCOLLIBRE,JAUMEeng2019-11-29T00:00:00Zoai:scielo:S0001-37652018000602599Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2019-11-29T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv The phase portrait of the Hamiltonian system associated to a Pinchuk map
title The phase portrait of the Hamiltonian system associated to a Pinchuk map
spellingShingle The phase portrait of the Hamiltonian system associated to a Pinchuk map
ARTÉS,JOAN CARLES
center
global injectivity
real Jacobian conjecture
Pinchuk map
title_short The phase portrait of the Hamiltonian system associated to a Pinchuk map
title_full The phase portrait of the Hamiltonian system associated to a Pinchuk map
title_fullStr The phase portrait of the Hamiltonian system associated to a Pinchuk map
title_full_unstemmed The phase portrait of the Hamiltonian system associated to a Pinchuk map
title_sort The phase portrait of the Hamiltonian system associated to a Pinchuk map
author ARTÉS,JOAN CARLES
author_facet ARTÉS,JOAN CARLES
BRAUN,FRANCISCO
LLIBRE,JAUME
author_role author
author2 BRAUN,FRANCISCO
LLIBRE,JAUME
author2_role author
author
dc.contributor.author.fl_str_mv ARTÉS,JOAN CARLES
BRAUN,FRANCISCO
LLIBRE,JAUME
dc.subject.por.fl_str_mv center
global injectivity
real Jacobian conjecture
Pinchuk map
topic center
global injectivity
real Jacobian conjecture
Pinchuk map
description Abstract In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincaré disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canonical regions, six of them of type strip and one annular.
publishDate 2018
dc.date.none.fl_str_mv 2018-09-01
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=S0001-37652018000602599
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602599
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0001-3765201820170829
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 Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.90 n.3 2018
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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