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- Title
LINEARIZATION OF HYPERBOLIC RESONANT FIXED POINTS OF DIFFEOMORPHISMS WITH RELATED GEVREY ESTIMATES IN THE PLANAR CASE.
- Authors
BONCKAERT, PATRICK; NAUDOT, VINCENT
- 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 x log |x|. 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.
- Subjects
HYPERBOLIC functions; STATISTICAL linearization; DIFFEOMORPHISMS; GEVREY class; FIXED point theory; PLANAR graphs
- Publication
Electronic Journal of Differential Equations, 2017, Vol 2017, Issue 200-311, p1
- ISSN
1550-6150
- Publication type
Article