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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 | Source: | 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. | Keywords: | Poincaré Dulac normal form; conjugacy; normal form; Mourtada type function; tag monomial Gevrey asymptotic | Document URI: | http://hdl.handle.net/1942/25625 | Link to publication/dataset: | https://ejde.math.txstate.edu/Volumes/2017/266/bonckaert.pdf | ISSN: | 1072-6691 | ISI #: | 000413844000001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
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bonckaert_naudot2017.pdf | Published version | 604.84 kB | Adobe PDF | View/Open |
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