3 papers
math.DS2020
Complete integrability of diffeomorphisms and their local normal forms
Kai Jiang, Laurent Stolovitch
In this paper, we consider the normal form problem of a commutative family of germs of diffeomorphisms at a fixed point, say the origin, of (…
math.DS2019
Local normal forms of dynamical systems with a singular underlying geometric structure
Kai Jiang, Tudor S. Ratiu, Nguyen Tien Zung
In this paper we prove the existence of a simultaneous local normalization for couples , where is a vector field which vanishes at a point and is…
math.DG2018
Normalization of singular contact forms and primitive 1-forms
Kai Jiang, Truong Hong Minh, Nguyen Tien Zung
A differential 1-form on a manifold of odd dimension , which satisfies the contact condition almost everywhere, but which vanishes at a point ,…