Classification of integrable Hamiltonian systems with nondegenerate singularities on \(\mathbb {C}P^{2}\)
type: Item
instance of: scholarly article
title: Classification of integrable Hamiltonian systems with nondegenerate singularities on \(\mathbb {C}P^{2}\)
zbMATH Open document ID: 1243.37051
DOI: 10.1134/S1064562411020232
author: A. A. Oshemkov
published in: Doklady Mathematics
publication date: 2012-01-17T00:00:00Z
review text: From the text: ``This paper studies topological properties of the sets of singular points of integrable Hamiltonian systems with two degrees of freedom. In the case where all singularities of the system are nondegenrate, this set is a union of immersed 2-submanifolds and isolated singular points of type focus-focus. It is proved that the submanifolds filled by hyperbolic singularities have trivial normal bundle in the phase space of the system. In particular, this makes it possible to describe all systems with nondegenerate singularities on the complex projective plane.''
reviewed by: Dafeng Zuo
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 5998369
MaRDI profile type: Publication
cites work: Q3542343
cites work: Q4939713
cites work: Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
cites work: Q5461285
cites work: Characteristic Classes. (AM-76)
description: scientific article; zbMATH DE number 5998369