| 一个类Lorenz系统的混沌行为与形成机制 |
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| 引用本文： | 袁地.一个类Lorenz系统的混沌行为与形成机制[J].安阳师范学院学报,2008(5):27-31. |
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| 作者姓名： | 袁地 |
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| 作者单位： | 安阳师范学院物理系,河南安阳,455000 |
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| 摘 要： | 通过数值计算、理论推导分析了一个类Lorenz混沌系统的基本动力学特性，并通过数值仿真、相图、Poincare截面图和功率谱研究了这个系统的混沌行为。然后，构建一个受控系统并利用Lyapunov指数谱、分叉图分析了该系统混沌吸引子的形成机制。结果表明．该系统混沌吸引子可由两个卷形状演化为一个卷形状，并最终通过倍周期分叉的过程演化为周期运动的形状。
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| 关 键 词： | 类Lorenz系统 混沌 形成机制 |
Chaos and Its Forming Mechanism of a New Lorenz-Like System |
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| YUAN Di.Chaos and Its Forming Mechanism of a New Lorenz-Like System[J].Journal of Aayang Teachers College,2008(5):27-31. |
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| Authors: | YUAN Di |
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| Institution: | YUAN Di (Department of Physics,Anyang Normal University,Anyang 455000,China) |
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| Abstract: | Some basic dynamical properties of a new Lorenz-like chaotic system are analyzed by means of numerical value calculating and theoretical deducing,and the chaotic behaviors of the chaotic system is studied via numerical simulation,phase diagram,Poincare mapping and power spectrum.A controller of the Lorenz-like system is constructed further,the forming mechanism of the chaotic attractor is studied by Lyapunov exponent and bifurcation diagram,the results show that the chaotic attractor is obtained by merging ... |
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| Keywords: | Lorenz-like System Chaos Forming mechanism |
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