Patrick Bonckaert, Vincent Naudot
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 |
B-3500 Diepenbeek, Belgium
| Vincent Naudot |
Dept of Mathematics Florida Atlantic University
777 Glades Road
Boca Raton, FL 33433, USA
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