查询词典 poincare series

Secondly, a series of computer programs have been developed and verified according to the deterministic chaos theory and algorithms. These programs are deterministic chaos qualitative analysis tools including phase plots and Poincare section analysis software packages; deterministic chaos quantitative analysis tools including the largest Lyapunov exponent, correlation dimension and Kolmogorov entropy analysis codes and classical analysis such as power spectrum, autocorrelation coefficient and Hurst analysis programs.

其次，根据确定性混沌分析技术主要内容的算法思想，自行开发了相图、Poincare截面等定性分析程序软件包；最大李雅普诺夫指数、关联维数和K熵等定量分析程序软件包以及非线性混沌预测程序软件包；同时，还开发了功率谱、自相关系数、Hurst指数等传统分析技术程序软件包；并运用三种典型的周期运动、混沌运动及随机运动时间序列数据，验证了开发的程序。

The Poincare map, Lyapunov exponents and capacity dimensions are derived by time series.

在分析了永磁同步电动机的混沌机理之后，本文研究了永磁同步电动机的控制和反控制方法。

In this chapter, three kinds of target recognition methods are performed, which are:①Target recognition method based on the description of polarization parameter plane. The echo polarization states of target are projected onto the polarization state plane described by the ellipticity ε and the tilt angle τ of the polarization ellipse, the change of parameter following ferquency becomes the chart. According to the changing trait of the chart, the multidimensional polarization feature space of target has been contructed. Furthermore, a series of polarization feature parameters used in designing the structure of target recognition device are extracted, and they are insensible to the posture of target.②Target recognition method based on the description of Poincare polarization sphere. The echo polarization states of target expressed by Stokes vector are projected onto the Poincare polarization sphere. The conception of polarization ferquency stability, which is used in describing the dynamic distribution characteristics of the target echo polarization states on Poincare polarization sphere, has been defined. A group of polarization feature parameters used in designing the structure of target recognition device are extracted, and they are insensible to the posture of target.③Target recognition method based on the description of frequency sensitivity. In accordance with the conception of the polarization state distance defined on Poincare polarization sphere, the frequency sensibility of the physical structure property of target has been investigated, the frequency distribution feature curves in PSD domain are obtained, and targets'features are extracted by means of the curve-fitting method with Least Square Criterion.

这章具体研究了基于三种极化散射特性描述的相应的目标识别方法：①基于极化参数平面描述的目标识别方法，将目标回波极化状态投影到以极化椭圆参数，即椭圆率角ε和倾角τ表征的极化状态平面上，参数随观测频率的变化就形成了图，根据图的变化特点构造了目标的多维极化特征空间，并提取了不敏感目标姿态变化的极化特征参数组来设计目标的识别器结构；②基于Poincare极化球面描述的目标识别方法，采用Stokes矢量表征目标回波的极化状态，并将其投影到描述极化状态的Poincare极化球面上，定义了极化频率稳定度的概念用以刻画目标回波极化状态在Poincare极化球面上的动态分布信息，提取了准方位不变性的目标极化特征，最后设计了目标的识别器结构；③基于频率敏感性描述的目标识别方法，通过在Poincare极化球面上所定义的极化状态距离的概念，研究的是复杂目标物理结构特性对探测信号频率的敏感程度问题，获得了在极化状态距离下的频率分布特性曲线，采用最小二乘估计曲线拟合方法，它既用于极化特征的降维，同时又直接将拟合参数作为目标的分类特征。

METHODS: Samples series of beat to beat cycles were selected to prepare Poincare mapping to describe TWA distribution.

选取连续心跳周期中T波窗口内的采样点序列做散点图，描述T波交替的分布状态。

Using tools from dynamical system theory, such as phase space diagrams, Frequency analysis, Poincare sections and the calculation of statistical quantity of chaos: the correlation dimension, Reni entropy, Laypunov exponent and so on, the different solutions to the Navier-Stokes equations at different values of the Reynolds number have been identified and characterized through reconstructing the phase space of velocity time series by means of time delay and dimension embeding.

通过时间延迟和维数的嵌入对速度时间序列重构相空间，利用非线性动力系统理论方法诸如相空间分析，频谱分析，Poincare映射，以及通过对混沌统计量：关联维数，Reni熵，Laypunov指数等计算，对不同雷诺数N-S方程解的特征作了分辨。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。