Mathematics

Formal normalization of generic germs for semihyperbolic maps

P. A. Shaikhullina

Chelyabinsk State University, Chelyabinsk, Russia

Abstract: The subject of research are germs of semihyperbolic maps, i. e. of two-dimensional maps such that one of its multiplier is parabolic and another one is hyperbolic. A formal classification of generic semihyperbolic germs is obtained and a theorem on semihyperbolic normalization is proved.

Keywords: semihyperbolic germ, formal classification, semiformal normalization.

UDC: 517.9

Received: 10.10.2015

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