Generalized projective synchronization of the fractional-order Chen hyperchaotic system
Generalized projective synchronization of the fractional-order Chen hyperchaotic system
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DOI：
10.1007/s11071-008-9416-5
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发表时间：
2009-07
影响因子：
5.6
通讯作者：
Xiangjun Wu;Yang Lu
中科院分区：
文献类型：
--
作者：
Xiangjun Wu;Yang Lu
本文数值研究了分数阶Chen超混沌系统的超混沌行为。利用分数阶微积分技术，发现阶数小于4的分数阶Chen超混沌系统存在超混沌。我们发现在这个系统中超混沌的最低阶是3.72。两个正的李雅普诺夫指数的存在验证了我们的结果。本文还提出了分数阶Chen超混沌系统的广义投影同步方法。本技术基于拉普拉斯变换理论。这种简单且理论上严格的同步方法使分数阶超混沌系统的同步得以实现，并且不需要计算条件李雅普诺夫指数。数值仿真验证了该同步方案的有效性。
In this paper, we numerically investigate the hyperchaotic behaviors in the fractional-order Chen hyperchaotic systems. By utilizing the fractional calculus techniques, we find that hyperchaos exists in the fractional-order Chen hyperchaotic system with the order less than 4. We found that the lowest order for hyperchaos to have in this system is 3.72. Our results are validated by the existence of two positive Lyapunov exponents. The generalized projective synchronization method is also presented for synchronizing the fractional-order Chen hyperchaotic systems. The present technique is based on the Laplace transform theory. This simple and theoretically rigorous synchronization approach enables synchronization of fractional-order hyperchaotic systems to be achieved and does not require the computation of the conditional Lyapunov exponents. Numerical simulations are performed to verify the effectiveness of the proposed synchronization scheme.