Finite-time attractivity and bifurcation for nonautonomous differential equations

被引：20
|
作者：
Rasmussen M. [1 ]
机构：
[1] Department of Mathematics, Imperial College
来源：
Differential Equations and Dynamical Systems | 2010年 / 18卷 / 1-2期
关键词：
Attractor; dichotomy; dichotomy spectrum; finite-time dynamics; nonautonomous bifurcation; nonautonomous differential equation; pitchfork bifurcation; repeller; transcritical bifurcation;
D O I：
10.1007/s12591-010-0009-7
中图分类号：
学科分类号：
摘要：
The aim of this article is to introduce nonautonomous and finite-time versions of central concepts from the theory of dynamical systems such as attractivity and bifurcation. The discussion includes an appropriate spectral theory for linear systems as well as finite-time analogues of the well-known transcritical and pitchfork bifurcation. © 2010 Foundation for Scientific Research and Technological Innovation.
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页码：57 / 78
页数：21
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