Patrick Bonckaert, Vincent Naudot
Abstract:
We show that any germ of smooth hyperbolic diffeomophism at a fixed point
is conjugate to its linear part, using a transformation with a Mourtada type
functions, which (roughly) means that it may contain terms like
.
Such a conjugacy admits a Mourtada type expansion. In the planar case, when
the fixed point is a p:-q resonant saddle, and if we assume that the
diffeomorphism is of Gevrey class, we give an upper bound on the Gevrey
estimates for this expansion.
Submitted May 5, 2017. Published October 24, 2017.
Math Subject Classifications: 37C05, 37C27, 37G05.
Key Words: Poincare Dulac normal form; conjugacy; normal form;
Mourtada type function; tag monomial Gevrey asymptotic.
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Patrick Bonckaert Hasselt University Martelarenlaan 42 B-3500 Diepenbeek, Belgium email: patrick.bonckaert@uhasselt.be | |
Vincent Naudot Dept of Mathematics Florida Atlantic University 777 Glades Road Boca Raton, FL 33433, USA email: vnaudot@fau.edu |
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