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http://hdl.handle.net/1942/10804
Title: | Local analytic reduction of families of diffeomorphisms | Authors: | BONCKAERT, Patrick HOVEIJN, Igor VERSTRINGE, Freek |
Issue Date: | 2010 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 367(1). p. 317-328 | Abstract: | We study local analytic simplification of families of analytic maps near a hyperbolic fixed point. A particularly important application of the main result concerns families of hyperbolic saddles, where Siegel's theorem is too fragile, at least in the analytic category. By relaxing on the formal normal form we obtain analytic conjugacies. Since we consider families, it is more convenient to state some results for analytic maps on a Banach space; this gives no extra complications. As an example we treat a family passing through a 1 : -1 resonant saddle. (C) 2010 Elsevier Inc. All rights reserved. | Notes: | [Bonckaert, P.; Verstringe, F.] Hasselt Univ, B-3590 Diepenbeek, Belgium. [Hoveijn, I.] Univ Groningen, Johann Bernoulli Inst, NL-9700 AK Groningen, Netherlands. | Keywords: | Analytic normal form; Families of hyperbolic saddles | Document URI: | http://hdl.handle.net/1942/10804 | ISSN: | 0022-247X | e-ISSN: | 1096-0813 | DOI: | 10.1016/j.jmaa.2010.01.032 | ISI #: | 000275385100030 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2011 |
Appears in Collections: | Research publications |
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