Analytic normal form of analytic dynamical systems on tori with small perturbations [ Back ]

Date:
10.02.14   
Times:
15:30 to 16:30
Place:
CRM - Auditori (C1/034)
Speaker:
Kesheng Wu
University:
Shangai JiaoTong University

Abstract:

Normal form theory has a long history, it contains Poincare-Dulac normal form, Birkhoff normal form, Simplest normal form, etc. But there are few results on analytic dynamical systems on tori, Arnold and Moser focused on analytic linearizable normal form of analytic dynamical systems on tori with small perturbation.

In this talk we introduce our recent results, which provide existence of analytic normalizations of analytic dynamical systems on tori under small perturbations with resonance. Moreover, we also consider the almost reducibility of a family of analytic diffeomorphisms on tori.