Geometry of slow–fast Hamiltonian systems and Painlevé equations

In the first part of the paper we introduce some geometric tools needed to describe slow–fast Hamiltonian systems on smooth manifolds. We start with a smooth bundle p:M→B where (M,ω) is a C∞-smooth presymplectic manifold with a closed constant rank 2-form ω and (B,λ) is a smooth symplectic manifold....

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Indagationes mathematicae 2016-12, Vol.27 (5), p.1219-1244
Hauptverfasser:	Lerman, L.M., Yakovlev, E.I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up Bundle Bundling Disruption point Geometry Hamiltonian Hamiltonian functions Manifolds (mathematics) Mathematical analysis Painlevé equations Presymplectic manifold Singular symplectic Singularity (mathematics) Slow–fast
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!