CYCLICITY OF THE ORIGIN IN SLOW-FAST CODIMENSION 3 SADDLE AND ELLIPTIC BIFURCATIONS

被引：6

作者：

Huzak, Renato ^{[1
]}

机构：

[1] Hasselt Univ, B-3590 Diepenbeek, Belgium

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 01期

关键词：

LIENARD EQUATIONS; CANARD CYCLES; LIMIT-CYCLES; UNIQUENESS;

D O I：

10.3934/dcds.2016.36.171

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is the continuation of our previous papers [16] and [17] where we studied small-amplitude limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations. We find optimal upper bounds for the number of small-amplitude limit cycles in these slow-fast codimension 3 bifurcations. We use techniques from geometric singular perturbation theory.

引用

页码：171 / 215

页数：45

共 21 条

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[2]

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[3]

Coppel W.A, 1989, Dynamics Reported, V2, P61

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