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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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1-s2.0-S1631073X13002094-main.pdf Restricted Access | 207.73 kB | Adobe PDF | View/Open Request a copy |
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