Further reduction of normal forms of formal maps

Wang, D; Zheng, M; Peng, J

Further reduction of normal forms of formal maps

Wang, D Zheng, M Peng, J

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: Comptes Rendus Mathematique, 2006, 343 (10), pp. 657 - 660
Issue Date:: 2006-01

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Field	Value	Language
dc.contributor.author	Wang, D	en_US
dc.contributor.author	Zheng, M	en_US
dc.contributor.author	Peng, J	en_US
dc.date.issued	2006-01	en_US
dc.identifier.citation	Comptes Rendus Mathematique, 2006, 343 (10), pp. 657 - 660	en_US
dc.identifier.issn	1631-073X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8251
dc.description.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.	en_US
dc.publisher	Elsevier	en_US
dc.relation.ispartof	Comptes Rendus Mathematique	en_US
dc.relation.isbasedon	10.1016/j.crma.2006.10.005	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	Further reduction of normal forms of formal maps	en_US
dc.type	Journal Article
utslib.citation.volume	10	en_US
utslib.citation.volume	343	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Business
utslib.copyright.status	closed_access
pubs.consider-herdc	false	en_US
pubs.issue	10	en_US
pubs.volume	343	en_US

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.

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http://hdl.handle.net/10453/8251