A SURVEY OF SOME RESULTS ON OVERSTABILITY AND BIFURCATION DELAY

被引:8
作者
Fruchard, Augustin [1 ]
Schafke, Reinhard [2 ,3 ]
机构
[1] Univ Haute Alsace, Fac Sci & Tech, Lab Math Informat & Applicat, 4 Rue Freres Lumiere, F-68093 Mulhouse, France
[2] Univ Strasbourg, UFR Math & Informat, Inst Rech Math Avancee, F-67084 Strasbourg, France
[3] CNRS, F-67084 Strasbourg, France
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2009年 / 2卷 / 04期
关键词
Bifurcation delay; dynamic bifurcation; Poincare-Andronov-Hopf bifurcation; canard solution; singular perturbation; DIFFERENCE-EQUATIONS; DYNAMIC BIFURCATIONS; ANALYTIC SOLUTIONS; CANARDS; SYSTEMS;
D O I
10.3934/dcdss.2009.2.931
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a non-exhaustive overview of the problem of bifurcation delay from its appearance in France at the end of the eighties to the most recent contributions. We present the bifurcation delay for differential equations as well as for discrete dynamical systems.
引用
收藏
页码:931 / 965
页数:35
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