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Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, 2012, Issue 15, Pages 71–79 (Mi vchgu27)  
Differential equations

Normal forms of multidimesional parabolic mappings

I. V. Korovina

Chelyabinsk State University
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Abstract: In the paper there is considered formal classification of germs of analytic mappings in the plane with identity linear part. It is shown that under some generality restrictions on its 2-jet, the germ is strictly formally equivalent to a quasipolynomial normal form of a special type. The uniqueness of such normal forms is established.
Keywords: normal forms, parabolic maps, formal classification.
Document Type: Article
Language: Russian
Citation: I. V. Korovina, “Normal forms of multidimesional parabolic mappings”, Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15, 71–79
Citation in format AMSBIB
\Bibitem{Kor12}
\by I.~V.~Korovina
\paper Normal forms of multidimesional parabolic mappings
\jour Vestnik Chelyabinsk. Gos. Univ.
\yr 2012
\issue 15
\pages 71--79
\mathnet{http://mi.mathnet.ru/vchgu27}
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