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JOURNALS // Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika // Archive

Vestnik Chelyabinsk. Gos. Univ., 2012 Issue 15, Pages 71–79 (Mi vchgu27)

Differential equations

Normal forms of multidimesional parabolic mappings

I. V. Korovina

Chelyabinsk State University

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.



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