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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3763

Title: HILBERTS 16TH PROBLEM FOR QUADRATIC VECTOR-FIELDS
Authors: DUMORTIER, Freddy
Roussarie, R
ROUSSEAU, C
Issue Date: 1994
Publisher: ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
Citation: JOURNAL OF DIFFERENTIAL EQUATIONS, 110(1). p. 86-133
Abstract: We discuss here a systematic approach towards a positive answer to Hilbert's 16th problem for quadratic systems, namely the existence of a uniform bound for the number of limit cycles of a quadratic system. The method is the following: describe the limit periodic sets surrounding the origin in a family of quadratic vector fields and prove that they have finite cyclicity. In this paper we give the list of all graphics and degenerate graphics that should be considered and describe their general features. We also indicate how to find or where to find concrete examples of these limit periodic sets. (C) 1994 Academic Press, Inc.
Notes: UNIV BOURGOGNE,DEPT MATH,LAB TOPOL,CNRS,UA 755,F-21004 DIJON,FRANCE. DEPT MATH & STAT,MONTREAL H3C 3J7,PQ,CANADA.DUMORTIER, F, LIMBURGS UNIV CENTRUM,UNIV CAMPUS,B-3610 DIEPENBEEK,BELGIUM.
URI: http://hdl.handle.net/1942/3763
ISI #: A1994NP96700005
ISSN: 0022-0396
Type: Journal Contribution
Appears in Collections: Research publications

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