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http://hdl.handle.net/1942/16809
Title: | Gevrey asymptotics of series in Mourtada-type compensators used for linearization of an analytic 1:-1 resonant saddle | Authors: | BONCKAERT, Patrick | Issue Date: | 2014 | Source: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 419(2), p. 1143-1160. | Abstract: | Given a 1:-1 resonant saddle singularity of a planar analytic vector field, we provide a linearization procedure using a series expansion in compensators of Mourtada-type, and show that this series has Gevrey-1 asymptotics. In case of an analytic Poincar\'e-Dulac normal form we show that this transformation is analytic as a function of the compensators | Keywords: | vector field; linearization; resonance; Gevrey series; compensator | Document URI: | http://hdl.handle.net/1942/16809 | ISSN: | 0022-247X | e-ISSN: | 1096-0813 | DOI: | 10.1016/j.jmaa.2014.05.056 | ISI #: | 000338908600030 | Rights: | © 2014 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2015 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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compensators.pdf | Peer-reviewed author version | 292.38 kB | Adobe PDF | View/Open |
1-s2.0-S0022247X14004983-main.pdf Restricted Access | Published version | 388.31 kB | Adobe PDF | View/Open Request a copy |
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