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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…