# American Institute of Mathematical Sciences

November  2014, 13(6): 2641-2673. doi: 10.3934/cpaa.2014.13.2641

## Primary birth of canard cycles in slow-fast codimension 3 elliptic bifurcations

 1 Hasselt University, Campus Diepenbeek, Agoralaan Gebouw D, 3590 Diepenbeek, Belgium 2 Hasselt University, Campus Diepenbeek, Agoralaan-Gebouw D, B-3590 Diepenbeek, Belgium 3 Universiteit Hasselt, Campus Diepenbeek, Agoralaan–gebouw D, 3590 Diepenbeek

Received  October 2013 Revised  April 2014 Published  July 2014

In this paper we continue the study of large" small-amplitude limit cycles in slow-fast codimension 3 elliptic bifurcations which is initiated in [8]. Our treatment is based on blow-up and good normal forms.
Citation: Renato Huzak, P. De Maesschalck, Freddy Dumortier. Primary birth of canard cycles in slow-fast codimension 3 elliptic bifurcations. Communications on Pure & Applied Analysis, 2014, 13 (6) : 2641-2673. doi: 10.3934/cpaa.2014.13.2641
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