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- W2944575737 abstract "We consider a planar vector field $X$ near a saddle type $p:-q$ resonant singular point. Assuming that it has a normal form with a Gevrey-$d$ expansion (like $d=p+q$ which is in particular the case when starting from an analytic vector field) we show that $X$ can be linearized working with a change of coordinates that is of Gevrey order $d$ in certain $log$-like variables, called compensators or also tags, multiplied by the first integral $u=x^qy^p$ of the linear part. Next we consider the unfolding of such a resonance, and provide (weaker) Gevrey-type linearization using compensators." @default.
- W2944575737 created "2019-05-16" @default.
- W2944575737 creator A5019627181 @default.
- W2944575737 date "2019-03-01" @default.
- W2944575737 modified "2023-10-17" @default.
- W2944575737 title "Gevrey series in compensators linearizing a planar resonant vector field and its unfolding" @default.
- W2944575737 doi "https://doi.org/10.36045/bbms/1553047227" @default.
- W2944575737 hasPublicationYear "2019" @default.
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