Poincare type theorems for non-autonomous systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:245

Article

Wu, Hao¹  Li, Weigu² 

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

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

关键词: Normal form;    Non-autonomous differential system;    Poincare theorem;   

DOI  :  10.1016/j.jde.2008.05.005

来源: Elsevier

【 摘 要 】

In this paper we establish analytic equivalence theorems of Poincare and Poincare-Dulac type for analytic non-autonomous differential systems based on the dichotomy spectrum of their linear part. As applications of the theorem, normal forms linearize for two illustrative examples. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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