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Mathematical Sciences • An. Acad. Bras. Ciênc. 90 (3) • Jul-Sep 2018 • https://doi.org/10.1590/0001-3765201820170829   copy

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

Authorship SCIMAGO INSTITUTIONS RANKINGS

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.

Key words
center; global injectivity; real Jacobian conjecture; Pinchuk map

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