NON-AUTONOMOUS BIFURCATION IN IMPULSIVE SYSTEMS

被引：1
|
作者：
Akhmet, M. U. [1 ]
Kashkynbayev, A. [1 ]
机构：
[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 74期
关键词：
Non-autonomous bifurcation theory; impulsive differential equations; attractive solution; repulsive solution; pitchfork bifurcation; transcritical bifurcation; COCYCLE ATTRACTORS; PITCHFORK; BEHAVIOR;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This is the first paper which considers non-autonomous bifurcations in impulsive differential equations. Impulsive generalizations of the non-autonomous pitchfork and transcritical bifurcation are discussed. We consider scalar differential equation with fixed moments of impulses. It is illustrated by means of certain systems how the idea of pullback attracting sets remains a fruitful concept in the impulsive systems. Basics of the theory are provided.
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页码：1 / 23
页数：23
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