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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Artes, Joan Carles [1] ; Braun, Francisco [2]
Total Authors: 2
Affiliation:
[1] Univ Autonoma Barcelona, Dept Matemat, Edifici Cc, Campus UAB, E-08193 Barcelona, Catalonia - Spain
[2] Univ Fed Sao Carlos, Dept Matemat, Rodovia Washington Luis, Km 235, Caixa Postal 676, BR-13565905 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Anais da Academia Brasileira de Ciências; v. 90, n. 3, p. 2599-2616, JUL-SEP 2018.
Web of Science Citations: 1
Abstract

In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincare 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. (AU)

FAPESP's process: 14/26149-3 - Injectivity of polynomial maps in the plane
Grantee:Francisco Braun
Support Opportunities: Scholarships abroad - Research