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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/25625

Title: Linearization of hyperbolic resonant fixed points of diffeomorphisms with related Gevrey estimates in the planar case
Authors: Bonckaert, Patrick
Naudot, Vincent
Issue Date: 2017
Citation: Electronic Journal of Differential Equations, 2017(266), (Art N° 266)
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.
URI: http://hdl.handle.net/1942/25625
Link to publication: https://ejde.math.txstate.edu/Volumes/2017/266/bonckaert.pdf
ISI #: 000413844000001
ISSN: 1072-6691
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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