TY - JOUR
T1 - Further reduction of normal forms of formal maps
AU - Wang, Duo
AU - Zheng, Min
AU - Peng, Jianping
N1 - Funding Information:
The authors are very grateful to Guoting Chen for his valuable help. They also thank the Natural Science Foundation of China for its support (No. 10571003).
PY - 2006/11/15
Y1 - 2006/11/15
N2 - Further reduction for classical normal forms of formal maps is considered in this note. Based on a recursive formula for computing the transformed map of a formal map under a near identity formal transformation, we develop the concepts of Nth order normal forms and infinite order normal forms for formal maps, and give some sufficient conditions for uniqueness of normal forms of formal maps. To cite this article: D. Wang et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006).
AB - Further reduction for classical normal forms of formal maps is considered in this note. Based on a recursive formula for computing the transformed map of a formal map under a near identity formal transformation, we develop the concepts of Nth order normal forms and infinite order normal forms for formal maps, and give some sufficient conditions for uniqueness of normal forms of formal maps. To cite this article: D. Wang et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006).
UR - http://www.scopus.com/inward/record.url?scp=33751095340&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2006.10.005
DO - 10.1016/j.crma.2006.10.005
M3 - Article
AN - SCOPUS:33751095340
SN - 1631-073X
VL - 343
SP - 657
EP - 660
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 10
ER -