| 引用本文: | 袁地.一个三维非线性系统的混沌运动及其控制[J].控制理论与应用,2009,26(4):.[点击复制] |
| yuan di.Chaotic Movement and Its Control of a Three-Dimensional Nonlinear System[J].Control Theory and Technology,2009,26(4):.[点击复制] |
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| 一个三维非线性系统的混沌运动及其控制 |
| Chaotic Movement and Its Control of a Three-Dimensional Nonlinear System |
| 摘要点击 1182 全文点击 585 投稿时间：2008-04-30 修订日期：2008-08-24 |
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| DOI编号 |
| 2009,26(4):- |
| 中文关键词 类Lorenz系统 混沌 控制参数 形成机制 |
| 英文关键词 Lorenz-like System Chaos controls parameter forming mechanism |
| 基金项目 |
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| 中文摘要 |
| 通过数值计算、理论推导分析了一个三维类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，通过对控制参数的改变，系统的混沌运动可以得到有效控制。 |
| 英文摘要 |
| Some basic dynamical properties of a three-dimensional Lorenz-like chaotic system are analyzed by means of numerical value calculating and theoretical deducing, 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 chaotic movement of the Lorenz-like system can be controlled well by changing controls parameter. |