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Gevrey and analytic local models for families of vector fields

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Publication:950591
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DOI10.3934/dcdsb.2008.10.377zbMath1153.37328OpenAlexW2335555047MaRDI QIDQ950591

Peter De Maesschalck, Patrick Bonckaert

Publication date: 30 October 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2008.10.377


zbMATH Keywords

normal formsresonancesummationGevrey series


Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)


Related Items (7)

Gevrey normal forms for nilpotent contact points of order two ⋮ Gevrey normal forms of vector fields with one zero eigenvalue ⋮ On the flat remainder in normal forms of families of analytic planar saddles ⋮ Gevrey asymptotics of series in Mourtada-type compensators used for linearization of an analytic \({1:-1}\) resonant saddle ⋮ Local analytic reduction of families of diffeomorphisms ⋮ Renormalization of planar analytic saddles ⋮ Gevrey estimates for asymptotic expansions of Tori in weakly dissipative systems*




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