| Sprott-F系统的混沌控制研究 |
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| 引用本文： | 陈俊峰,闫丽宏.Sprott-F系统的混沌控制研究[J].湖北民族学院学报(哲学社会科学版),2009,27(1). |
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| 作者姓名： | 陈俊峰 闫丽宏 |
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| 作者单位： | 咸阳师范学院,数学系,陕西,咸阳,712000
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| 基金项目： | 咸阳师范学院自然科学基金 |
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| 摘 要： | 利用非线性动力学理论,讨论了改进的Sprott-F系统的混沌特性.在参数区b E0,0.5]上,利用全局分岔图,Lyapunov指数谱准确的表征了系统在此区间内的丰富的非线性行为.应用时滞反馈法、比例微分器控制法和x|x|法对系统的混沌控制进行了详尽全面的理论分析和数值模拟.结果表明,选择适当的反馈系数,通过以上三种控制法,可将系统的混沌运动控制到稳定的低周期状态.
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| 关 键 词： | 混沌吸引子 分岔 时滞反馈 比例微分器控制 |
Discuss on Chaos Control of the Sprott-F System |
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| CHEN Jun-feng,YAN Li-hong.Discuss on Chaos Control of the Sprott-F System[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2009,27(1). |
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| Authors: | CHEN Jun-feng YAN Li-hong |
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| Institution: | Department of Mathematics;Xianyang Normal University;Xianyang 712000;China |
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| Abstract: | In this paper,the chaotic characteristic of the Sprott-F system is studied with the nonlinear dynamics theory.The chaotic attractor and periods are given by means of numerical simulation with different parameter values,when the abundance dynamic behavior is presented by the global bifurcation graph and the Lyapunov exponent.The system is controlled by the delayed feedback PID and x|x| methods.The result of this paper indicates that the chaotic motions of the system can be successfully converted to the stabl... |
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| Keywords: | chaotic attractor bifurcation delay feedback chaos control PID control |
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