Geodesic
Normal forms of multidimesional parabolic mappings
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 15 (2012), pp. 71-79

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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
Mots-clés : formal classification. 
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     author = {I. V. Korovina},
     title = {Normal forms of multidimesional parabolic mappings},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {71--79},
     publisher = {mathdoc},
     number = {15},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2012_15_a4/}
}
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I. V. Korovina. Normal forms of multidimesional parabolic mappings. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 15 (2012), pp. 71-79. http://geodesic.mathdoc.fr/item/VCHGU_2012_15_a4/