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Title: | Transition functions and moduli of stability for 3-dimensional homogeneous vector-fields with a hyperbolic blowing-up | Authors: | DUMORTIER, Freddy | Issue Date: | 1991 | Publisher: | ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS | Source: | JOURNAL OF DIFFERENTIAL EQUATIONS, 94(2). p. 379-400 | Abstract: | In the first part of the paper we introduce the “Normal transition function” for saddle connections of planar diffeomorphisms. It is a positive multiple of the usual transition function, but in its definition we do not need C1 -linearizing coordinates. Among other nice properties, it is found to be analytic when the diffeomorphism is. The second part of the paper deals with the existence of a modulus of stability for germs on 3 of homogeneous vector fields with a hyperbolic blowing-up. We show that inside a specific class of examples the modulus occurs for a sufficiently high degree. | Notes: | DUMORTIER, F, LIMBURGS UNIV CENTRUM,UNIV CAMPUS,B-3590 DIEPENBEEK,BELGIUM. | Document URI: | http://hdl.handle.net/1942/3825 | DOI: | 10.1016/0022-0396(91)90097-S | ISI #: | A1991GU67500009 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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