Adaptive reduced-order anti-synchronization of chaotic systems with fully unknown parameters

Adaptive reduced-order anti-synchronization of chaotic systems with fully unknown parameters
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DOI:
10.1016/j.cnsns.2011.07.015
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发表时间:
2010-10
影响因子:
3.9
通讯作者:
M. M. Al-sawalha-M.;M. Noorani
M. M. Al-sawalha-M.;M. Noorani
中科院分区:
数学2区
文献类型:
--
作者:
M. M. Al-sawalha-M.;M. Noorani

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阐述了不确定混沌系统降阶反同步的概念。基于参数调制和自适应控制技术,我们证明了即使参数未知,三阶混沌系统的动力学演化也可以与四阶混沌系统的投影反同步。将该方法成功地应用于超混沌Chen系统(四阶)和Lü系统(三阶),理论分析和数值仿真验证了结果.
In this present paper, we elaborated the concept of the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third order chaotic system can be anti-synchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and Lü system (third-order), theoretical analysis and numerical simulations are shown to verify the results.