Formal and analytic normal forms for non-autonomous difference systems with uniform dichotomy spectrum

Advances in Difference Equations

article

Zhihua, Ren¹  Peirong, Wang¹  Yanqin, Xu¹  Hao, Wu² 

[1] College of Applied Sciences, Beijing University of Technology;Department of Mathematics, Southeast University

关键词: Normal form;    Non-autonomous difference systems;    Poincaré theorem;    Uniform dichotomy spectrum;   

DOI  :  10.1186/s13662-020-02577-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we extend formal and analytic normal forms from autonomous difference systems to non-autonomous ones based on the uniform dichotomy spectrum of their linear part.

【 授权许可】

CC BY