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

An Acad Bras Cienc

Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici Cc, Campus de la UAB, Bellaterra, Cerdanyola del Vallès, 08193 Barcelona, Catalonia, Spain.

Published: March 2020

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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http://dx.doi.org/10.1590/0001-3765201820170829DOI Listing

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