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Title: | On the flat remainder in normal forms of families of analytic planar saddles | Authors: | BONCKAERT, Patrick VERSTRINGE, Freek |
Issue Date: | 2008 | Publisher: | ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | Source: | COMPTES RENDUS MATHEMATIQUE, 346(9-10). p. 553-558 | Abstract: | We give an explicit expression for the (finitely) flat remainder after analytic normal form reduction of a family of planar saddles of diffeomorphisms or vector fields. We distinguish between a rational or irrational ratio of the moduli of the eigenvalues at the saddle for a certain value of the parameter. | Notes: | Hasselt Univ, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/8364 | ISSN: | 1631-073X | e-ISSN: | 1778-3569 | DOI: | 10.1016/j.crma.2008.03.012 | ISI #: | 000256409100015 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2009 |
Appears in Collections: | Research publications |
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