On stability, persistence, and Hopf bifurcation in fractional order dynamical systems

被引：0
|
作者：
H. A. El-Saka
E. Ahmed
M. I. Shehata
A. M. A. El-Sayed
机构：
[1] Mansoura University,Mathematics Department, Faculty of Science
[2] Mansoura University,Mathematics Department, Faculty of Science
[3] Alexandria University,Mathematics Department, Faculty of Science
来源：
Nonlinear Dynamics | 2009年 / 56卷
关键词：
Fractional order; Bifurcation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This is a preliminary study about the bifurcation phenomenon in fractional order dynamical systems. Persistence of some continuous time fractional order differential equations is studied. A numerical example for Hopf-type bifurcation in a fractional order system is given, hence we propose a modification of the conditions of Hopf bifurcation. Local stability of some biologically motivated functional equations is investigated.
引用
收藏
页码：121 / 126
页数：5
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