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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3825

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.
URI: http://hdl.handle.net/1942/3825
DOI: 10.1016/0022-0396(91)90097-S
ISI #: A1991GU67500009
ISSN: 0022-0396
Type: Journal Contribution
Appears in Collections: Dynamical Systems

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