Finite determinacy and polynomial normal forms for diffeomorphisms near a strongly 1-resonant fixed point

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:413

Article

Ren, Zhihua¹  Yan, Shuo¹  Yang, Jiazhong² 

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

关键词: Diffeomorphism;    Normal form;    Strongly 1-resonant;   

DOI  :  10.1016/j.jmaa.2013.11.036

来源: Elsevier

【 摘 要 】

In this paper we study polynomial normal forms and smooth (C-infinity) classification of one kind of diffeomorphisms which have infinite many resonant relations but are finitely determined. We derive a complete list of normal forms of all such germs with arbitrary degeneracy of their nonlinear parts. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free