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

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

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.

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Artés Ferragud, Joan Carles, Braun, Francisco, Llibre, Jaume
Format: Artikel
Sprache:eng
Schlagworte:
Centers
Global injectivity
Real Jacobian conjecture
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.