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

Renato Huzak; P. De Maesschalck; Freddy Dumortier

doi:10.3934/cpaa.2014.13.2641

Article Contents

2014, Volume 13, Issue 6: 2641-2673. Doi: 10.3934/cpaa.2014.13.2641

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

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

Received: September 30, 2013

Revised: March 31, 2014

Published: October 2014

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Abstract

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.

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Mathematics Subject Classification: Primary: 34E15, 37G15, 34E20, 34C23, 34C26.

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References

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