Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/19023
Title: CYCLICITY OF THE ORIGIN IN SLOW-FAST CODIMENSION 3 SADDLE AND ELLIPTIC BIFURCATIONS
Authors: HUZAK, Renato 
Issue Date: 2016
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 36 (1), p. 171-215
Abstract: This paper is the continuation of our previous papers [16] and [17] where we studied small-amplitude limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations. We find optimal upper bounds for the number of small-amplitude limit cycles in these slow-fast codimension 3 bifurcations. We use techniques from geometric singular perturbation theory.
Notes: Huzak, R (reprint author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.renato.huzak@uhasselt.be
Keywords: blow-up; center manifold; cyclicity; normal forms; singular perturbations; slow-fast systems
Document URI: http://hdl.handle.net/1942/19023
ISSN: 1078-0947
e-ISSN: 1553-5231
DOI: 10.3934/dcds.2016.36.171
ISI #: 000360924100007
Category: A1
Type: Journal Contribution
Validations: ecoom 2016
Appears in Collections:Research publications

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