46 citations · 55 across the 9 of their papers we have counts for
9 papers · 1 filter
Torus Actions and Integrable Systems
Nguyen Tien Zung
This is a survey on natural local torus actions which arise in integrable dynamical systems, and their relations with other subjects, including: reduced integrability, local normal…
Torus actions and automorphism groups of singularities of integrable dynamical systems
Nguyen Tien Zung
We show that in the neighborhood of each ``finite type'' singular orbit of a real analytic integrable dynamical system (hamiltonian or not) there is a real analytic torus action wh…
Nonresonant smooth integrable Hamiltonian systems which don't admit a local smooth Birkhoff normal form
Nguyen Tien Zung
This small note has been withdrawn by the author. The main result of the note, with a corrected proof written in collaboration with a collegue, will be part of a joint work.
Reduction and Integrability
Nguyen Tien Zung
We discuss the relationship between the integrability of a dynamical system invariant under a Lie group action and its reduced integrability, i.e. integrability of the correspondin…
A note on focus-focus singularities
Nguyen Tien Zung
We give a topological and geometrical description of focus-focus singularities of integrable Hamiltonian systems. In particular, we explain why the monodromy around these singulari…
Another note on focus-focus singularities
Nguyen Tien Zung
We show a natural relation between the monodromy formula for focus-focus singularities of integrable Hamiltonian systems and a formula of Duistermaat-Heckman, and extend the main r…