On the hyperchaotic complex Lü system

被引：1
作者：
Gamal M. Mahmoud
Emad E. Mahmoud
Mansour E. Ahmed
机构：
[1] Assiut University,Department of Mathematics, Faculty of Science
[2] Sohag University,Department of Mathematics, Faculty of Science
来源：
Nonlinear Dynamics | 2009年 / 58卷
关键词：
Hyperchaotic; Chaotic; Attractors; Periodic; Quasi-periodic; Lyapunov exponents; Synchronization; Control; Complex;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to introduce the new hyperchaotic complex Lü system. This system has complex nonlinear behavior which is studied and investigated in this work. Numerically the range of parameter values of the system at which hyperchaotic attractors exist is calculated. This new system has a whole circle of equilibria and three isolated fixed points, while the real counterpart has only three isolated ones. The stability analysis of the trivial fixed point is studied. Its dynamics is more rich in the sense that our system exhibits both chaotic and hyperchaotic attractors, as well as periodic and quasi-periodic solutions and solutions that approach fixed points. The nonlinear control method based on Lyapunov function is used to synchronize the hyperchaotic attractors. The control of these attractors is studied. Different forms of hyperchaotic complex Lü systems are constructed using the state feedback controller and complex periodic forcing.
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页码：725 / 738
页数：13
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