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Anais da Academia Brasileira de Ciências

Print version ISSN 0001-3765On-line version ISSN 1678-2690

Abstract

ARTES, JOAN CARLES; BRAUN, FRANCISCO  and  LLIBRE, JAUME. The phase portrait of the Hamiltonian system associated to a Pinchuk map. An. Acad. Bras. Ciênc. [online]. 2018, vol.90, n.3, pp.2599-2616. ISSN 0001-3765.  https://doi.org/10.1590/0001-3765201820170829.

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.

Keywords : center; global injectivity; real Jacobian conjecture; Pinchuk map.

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