Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system

被引：89
作者：
Matouk, A. E. [1 ,2 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Hail Univ, Fac Sci, Dept Math, Hail 2440, Saudi Arabia
来源：
PHYSICS LETTERS A | 2009年 / 373卷 / 25期
关键词：
Fractional order; Novel hyperchaotic system; Routh-Hurwitz conditions; Hyperchaos; Hyperchaos control; DIFFERENTIAL-EQUATIONS; SYNCHRONIZATION; CHAOS; DYNAMICS; ROSSLER;
D O I：
10.1016/j.physleta.2009.04.032
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The stability conditions in fractional order hyperchaotic systems are derived. These conditions are applied to a novel fractional order hyperchaotic system. The proposed system is also shown to exhibit hyperchaos for orders less than 4. Based on the Routh-Hurwitz conditions, the conditions for controlling hyperchaos via feedback control are also obtained. A specific condition for controlling only fractional order hyperchaotic systems is achieved. Numerical Simulations are used to verify the theoretical analysis. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：2166 / 2173
页数：8
相关论文
共 24 条
123