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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|
|Citation: ||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.|
|ISI #: ||A1991GU67500009|
|Type: ||Journal Contribution|
|Appears in Collections: ||Research publications|
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