| 瞬态浓度场的熵与混沌特征实验研究 |
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| 引用本文： | 李宋,吴文权.瞬态浓度场的熵与混沌特征实验研究[J].实验流体力学,2004,18(4):93-98. |
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| 作者姓名： | 李宋 吴文权 |
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| 作者单位： | 上海理工大学动力工程学院,上海,200093 |
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| 基金项目： | 国家自然科学基金资助项目(70371011) |
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| 摘 要： | 为了探讨瞬态浓度场的熵特征及其是否具有混沌特征,利用基于数字图像处理技术和光学粒子散射理论的瞬态浓度场光学测量系统,获得了浓度场的二维时间和空间湍流信息,运用这些信息首次定量分析了瞬态浓度场的混沌特征,首次提出了浓度场信息熵理论及其非线性度量方法并进行了定量计算。运用实验数据时间序列计算了信息熵以及信息熵和浓度脉动时间序列的嵌入维数、关联维数、Kolmogorov熵和最大Lyapunov指数。结果表明,瞬态浓度场具有低维混沌特征,其脉动信息熵时间序列也是混沌的。
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| 关 键 词： | 瞬态浓度场 熵 混沌 实验 测量 |
| 文章编号： | 1007-3124(2004)04-0093-07 |
| 修稿时间： | 2004年1月30日 |
Investigation on the entropies and chaos characteristics of the instantaneous concentration field |
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| LI Song,WU Wen-quan.Investigation on the entropies and chaos characteristics of the instantaneous concentration field[J].Experiments and Measur in Fluid Mechanics,2004,18(4):93-98. |
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| Authors: | LI Song WU Wen-quan |
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| Abstract: | The nonlinear characteristics including chaos of the instantaneous concentration field are investigated. Based on an optical measurement system with digital image processing and optical scattering theory of particles, 2-D (two-dimensional) time and spatial turbulence information of the instantaneous concentration field of pollution dispersion are measured. Chaos characteristics of time series for the instantaneous concentration field are analyzed and the theory of information entropy is put forward for the first time. From the measured information in the experiments, the chaos' and entropies' embedded dimensions, correlative dimensions, Kolmogorov entropies, and the maximum Lyapunov index are calculated based on the time series. The results are demonstrated to show that the instantaneous concentrations have low-dimensional chaos characteristics, and the information entropies are also chaos. |
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| Keywords: | instantaneous concentration field entropy chaos experiment measurement |
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