| 分数阶超混沌Lorenz系统及同步研究 |
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| 引用本文： | 魏赟.分数阶超混沌Lorenz系统及同步研究[J].太原科技大学学报,2010,31(1):72-75. |
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| 作者姓名： | 魏赟 |
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| 作者单位： | 北京大学信息科学技术学院,北京,100871 |
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| 摘 要： | 基于分数阶微积分的Adams-Bashforth-Moulton一步方法与预估-校正算法,研究了分数阶超混沌Lorenz系统,并进行了数值仿真。结果表明:该系统存在超混沌的最低阶数为3.88阶。利用一步耦合法给出了分数阶超混沌系统的同步,并利用数值模拟验证其准确性。
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| 关 键 词： | 分数阶 超混沌 Lorenz系统 同步 |
Fractional Order Hyperchaotic Lorenz System and Its Synchronization |
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| WEI Yun.Fractional Order Hyperchaotic Lorenz System and Its Synchronization[J].Journal of Taiyuan University of Science and Technology,2010,31(1):72-75. |
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| Authors: | WEI Yun |
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| Institution: | WEI Yun(School of Electronics Engineering , Computer Science,Peking University,Beijing 100871,China) |
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| Abstract: | Based on the fractional calculus Adams-Bashforth-Moulton and predictor-corrector algorithm,the fractional order hyperchaotic Lorenz system is investigated numerically.The simulation results show that the lowest orders for hyperchaos in hyperchaotic Lorenz system gets 3.88.Synchronization of fractional order hyperchaotic systems is given by using Step Coupling Method,and the simulation results test its accuracy. |
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| Keywords: | fractional-order super-chaos Lorenz system synchronization |
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