Further Reduction of Normal Forms and Unique Normal Forms of Smooth Maps

Wang, D; Zheng, M; Peng, J

Further Reduction of Normal Forms and Unique Normal Forms of Smooth Maps

Wang, D Zheng, M Peng, J

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Publisher:: World Scientific
Publication Type:: Journal Article
Citation:: International Journal of Bifurcation and Chaos, 2008, 18 (3), pp. 803 - 825
Issue Date:: 2008-01

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Full metadata record

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	2008-01	en_US
dc.identifier.citation	International Journal of Bifurcation and Chaos, 2008, 18 (3), pp. 803 - 825	en_US
dc.identifier.issn	0218-1274	en_US
dc.identifier.uri	http://hdl.handle.net/10453/8294
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	World Scientific	en_US
dc.relation.ispartof	International Journal of Bifurcation and Chaos	en_US
dc.relation.isbasedon	10.1142/S0218127408020665	en_US
dc.subject.classification	Fluids & Plasmas	en_US
dc.title	Further Reduction of Normal Forms and Unique Normal Forms of Smooth Maps	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	18	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	en_US
utslib.for	0913 Mechanical Engineering	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	3	en_US
pubs.volume	18	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.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/8294