24 citations · 33 across the 9 of their papers we have counts for
10 papers
Commuting foliations
Nguyen Tien Zung, Truong Hong Minh
The aim of this paper is to extend the notion of commutativity of vector fields to the category of singular foliations, using Nambu structures, i.e. integrable multi-vector fields.…
Action-Angle variables on Dirac manifolds
Nguyen Tien Zung
The main purpose of this paper is to show the existence of action-angle variables for integrable Hamiltonian systems on Dirac manifolds under some natural regularity and compactnes…
Geometry of integrable dynamical systems on 2-dimensional surfaces
Nguyen Tien Zung, Nguyen Van Minh
This paper is devoted to the problem of classification, up to smooth isomorphisms or up to orbital equivalence, of smooth integrable vector fields on 2-dimensional surfaces, under…
Geometry of nondegenerate -actions on -manifolds
Nguyen Tien Zung, Nguyen Van Minh
This paper is devoted to a systematic study of the geometry of nondegenerate -actions on -manifolds. The motivations for this study come from both dynamics, where these…
New results on the linearization of Nambu structures
Nguyen Tien Zung
In a paper with Jean-Paul Dufour in 1999 \cite{DufourZung-Nambu1999}, we gave a classification of linear Nambu structures, and obtained linearization results for Nambu structures w…
Nondegenerate singularities of integrable dynamical systems
Nguyen Tien Zung
We give a natural notion of nondegeneracy for singular points of integrable non-Hamiltonian systems, and show that such nondegenerate singularities are locally geometrically linear…