Gevrey smooth topology is proper to detect normalization under Siegel type small divisor conditions

Wu Hao · 2016

阅读量：304

Gevrey的规范化

西格尔条件

小除数

期刊名称：

Mathematische Zeitschrift 2016 年 284 卷 3-4 期

发表日期：

2016.12.01

摘要：

We shape the results on the formal Gevrey normalization. More precisely, we investigate the better expression of ?±^ , which makes the formal Gevrey-?±^ coordinates substitution turning the Gevrey-?± smooth vector fields X into their normal forms in several cases. Such results show that the ???loss??? of the Gevrey smoothness is not always necessary even under Siegel type small divisor conditions, which are different from others.