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

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Abstract

© 2018, Academia Brasileira de Ciencias. All rights reserved. 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.
Original languageEnglish
Pages (from-to)2599-2616
JournalAnais da Academia Brasileira de Ciencias
Volume90
Issue number3
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Center
  • Global injectivity
  • Pinchuk map
  • Real Jacobian conjecture

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