Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/15070
Title: Canard-cycle transition at a fast-fast passage through a jump point
Other Titles: Transition de cycles canard pour un passage rapide–rapide par un point de saut
Authors: DE MAESSCHALCK, Peter 
DUMORTIER, Freddy 
Roussarie, Robert
Issue Date: 2014
Source: COMPTES RENDUS MATHEMATIQUE, 352(1). p. 27-30
Abstract: We consider transitory canard cycles that consist of a generic breaking mechanism, i.e. a Hopf or a jump breaking mechanism, in combination with a fast-fast passage through a jump point. Such cycle separates two types of canard cycles with a different shape. We obtain upper bounds on the number of periodic orbits that can appear near the canard cycle, and this under very general conditions.
On considère des cycles canard transitoires comportant un mécanisme de cassure générique, de type Hopf ou bien de saut, en combinaison avec un passage de type rapide–rapide par un point de saut. De tels cycles séparent deux types de cycles canard de formes différentes. On obtient des bornes supérieures sur le nombre d’orbites périodiques qui peuvent apparaître près du cycle canard, sous certaines conditions très générales.
Document URI: http://hdl.handle.net/1942/15070
ISSN: 1631-073X
e-ISSN: 1778-3569
DOI: 10.1016/j.crma.2013.09.002
ISI #: 000330499600006
Rights: © 2013 Published by Elsevier Masson SAS on behalf of Académie des sciences.
Category: A1
Type: Journal Contribution
Validations: ecoom 2015
Appears in Collections:Research publications

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