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Canard cycle transition at a slow-fast passage through a jump point

Tijdschriftbijdrage - Tijdschriftartikel

Ondertitel:Transition de cycles canard pour un passage lent–rapide par un point de saut
We introduce transitory canard cycles for slow–fast vector fields in the plane. Such cycles separate “canards without head” and “canardswithhead”,like for example in the Van der Pol equation. We obtain optimal upper bounds on the number of periodic orbits that can appear near the cycle underwhatever condition on the related slow divergence integralI,including the challenging caseI=0.
Tijdschrift: COMPTES RENDUS MATHEMATIQUE
ISSN: 1631-073X
Issue: 4
Volume: 352
Pagina's: 317 - 320
Jaar van publicatie:2014
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:0.5
CSS-citation score:2
Auteurs:International
Authors from:Higher Education
Toegankelijkheid:Closed