| 新的分数阶混沌系统及其同步控制 |
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| 引用本文： | 王慧,白晨希.新的分数阶混沌系统及其同步控制[J].微电子学与计算机,2011,28(1):64-68. |
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| 作者姓名： | 王慧 白晨希 |
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| 作者单位： | 1. 河南大学,图书馆,河南,开封,457004
2. 河南大学,计算中心,河南,开封,457004 |
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| 基金项目： | 国家"八六三"高科技计划项目 |
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| 摘 要： | 研究了一个新的分数阶系统的混沌动力学行为.基于分数阶微积分理论和数值模拟,发现在该新的分数阶系统中存在混沌,并且得出该分数阶系统能产生混沌吸引子的最低阶数为2.49阶.根据分数阶动力系统稳定性理论,通过设计非线性控制器,实现了新的分数阶混沌系统的投影同步,该方法设计简便,并且不需要计算Lyapunov指数,数值模拟结果验证了该同步方法的有效性.
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| 关 键 词： | 分数阶系统 混沌 同步控制 投影同步 |
A New Fractional-order Chaotic System and Its Synchronization |
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| WANG Hui,BAI Chen-xi.A New Fractional-order Chaotic System and Its Synchronization[J].Microelectronics & Computer,2011,28(1):64-68. |
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| Authors: | WANG Hui BAI Chen-xi |
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| Affiliation: | WANG Hui1,BAI Chen-xi2(1 School of Computer & Information Engineering,Henan University,Kaifeng 475004,China,2 Computing Center,China) |
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| Abstract: | The chaotic behaviors in a new fractional-order system are investigated in this paper.By applying the fractional calculus theory and computer simulations,it is found that chaos does exist in the new fractional-order three-dimensional system with order less than 3.The lowest order to yield chaos in this system is 2.49.Further,based on the stability theory of the fractional-order system,projective synchronization of the new fractional-order chaotic system through designing the suitable nonlinear controller is... |
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| Keywords: | the fractional-order system chaos chaotic synchronization projective synchronization |
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