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

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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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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