Further reduction of normal forms of formal maps

Duo Wang; Min Zheng; Jianping Peng

doi:10.1016/j.crma.2006.10.005

Further reduction of normal forms of formal maps

Duo Wang^*, Min Zheng, Jianping Peng

^*Corresponding author for this work

Peking University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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).

Original language	English
Pages (from-to)	657-660
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	343
Issue number	10
DOIs	https://doi.org/10.1016/j.crma.2006.10.005
Publication status	Published - 15 Nov 2006
Externally published	Yes

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10.1016/j.crma.2006.10.005

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title = "Further reduction of normal forms of formal maps",

abstract = "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).",

author = "Duo Wang and Min Zheng and Jianping Peng",

note = "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).",

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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).

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DO - 10.1016/j.crma.2006.10.005

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VL - 343

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 10

ER -

Further reduction of normal forms of formal maps

Abstract

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