Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/8416
Title: Gevrey and analytic local models for families of vector fields
Authors: BONCKAERT, Patrick 
DE MAESSCHALCK, Peter 
Issue Date: 2008
Publisher: AMER INST MATHEMATICAL SCIENCES
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 10(2-3). p. 377-400
Abstract: We give sufficient conditions on the spectrum at the equilibrium point such that a Gevrey-s family can be Gevrey-s conjugated to a simplified form, for 0 <= s <= 1. Local analytic results (i.e. s = 0) are obtained as a special case, including the classical Poincare theorems and the analytic stable and unstable manifold theorem. As another special case we show that certain center manifolds of analytic vector fields are of Gevrey-1 type. We finally study the asymptotic properties of the conjugacy on a polysector with opening angles smaller than s pi by considering a Borel-Laplace summation.
Notes: Hasselt Univ, Diepenbeek, B-3590 Belgium.
Keywords: normal forms, resonance, Gevrey series, summation
Document URI: http://hdl.handle.net/1942/8416
Link to publication: http://aimsciences.org/journals/pdfs.jsp?paperID=3429&mode=full
ISSN: 1531-3492
e-ISSN: 1553-524X
ISI #: 000257292800006
Category: A1
Type: Journal Contribution
Validations: ecoom 2009
Appears in Collections:Research publications

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