关联维数

所以说在地震勘探中，关联维数的研究对地震资料的处理与解释提供了较好的判断依据。

Therefore , the research of the correlation dimension can provide a better basis to judge in the processing and interpretation of seismic data in seismic exploration .

关联维数和基于内禀模态函数的AR模型在滚动轴承故障诊断中的应用

Application of correlation dimension and IMF based AR model to fault diagnosis for roller bearing

动物ECG信号关联维数动态变化的初步研究

A Primary Investigation on the Dynamic Changes of Correlation Dimension of Animal 's ECG Signals

脑电Alpha波的混沌关联维数分析

Chaotic correlation dimension analysis of alpha waves in electroencephalograph

有界噪声激励下典型非线性系统的关联维数和Lyapunov指数估计

Estimation of Correlation Dimensions and Lyapunov Exponent of Typical Nonlinear Systems under the Bounded Noise Excitation

采用BP网络分类器，对两类目标的关联维数和自然测度特征进行了分类识别实验，实现了两类目标的分类并且获了较高的识别率。

The result of the experiment show that the correlation dimensions and natural measure accomplished the classification and the classification rate is higher .

EMD降噪的关联维数在齿轮故障诊断中的应用研究

Gear fault diagnosis based on correlation dimension pre-processed with EMD

计算结果显示，柴油机在不同工作状态时，其扭矩及转速信号的关联维数及K熵各不相同。

The result of calculation shows that the relevant dimension and K entropy of torque and speed signals are different in varied operating condition .

通过深入研究其混沌吸引子的形状、关联维数及最大Lyapunov指数，发现这些混沌特征数对电力短期负荷预测具有重要意义。

Chaotic attractor and its correlation dimension and maximum Lyapunov exponent have important influence on power short-term load forecasting .

从24h心率变异性不同频段提取关联维数的初步研究

Preliminary study on correlation dimension extracted from 24 hours heart rate variability in different frequency domains

研究结果表明，最大Lyapunov指数对应的尺度较大，对气泡的行为更为敏感，关联维数和K熵的尺度较小，其变化趋势与乳化相有更好的对应关系。

The research shows the lyapunov exponent is more sensitive to the phase of bubble , the lager scale of the pressure fluctuation signal .

关联维数和Kolmogorov熵在航空发动机故障诊断中的应用

Application of Correlation Dimension and Kolmogorov Entropy in Aeroengine Fault Diagnosis

介绍了Lyapunov指数、关联维数、h2熵及自然测度等混沌特征的定义，并对其特征提取算法分别进行了研究；

The definition of Lyapunov exponent , correlation dimensions , h2 entropy and natural measure are introduced and the estimate methods of these chaotic exponents are studied .

通过所获得的系统在各个条件下的压力波动时间序列的理论分析，计算了系统在不同条件下的混沌行为的参数Kolmogorov熵和关联维数。

Kolmogorov entropy and correlation dimension are maculated according to the pressure fluctuation .

基于关联维数和Kolmogorov熵的转子振动故障模式判别

Vibration Fault Mode Determination for Rotor Based on Correlation Dimension and Kolmogorov Entropy

分析结果表明，利用相点融合技术得到的多变量时间序列的最大Lyapunov指数和关联维数更真实、精确。

The analysis results show maximum Lyapunov exponent and correlation dimension for multivariate time series based phase point fused is more true and accurate .

非线性特征量关联维数和K熵随操作条件的变化而变化并且具有多值性，多值性反映出系统具有多尺度行为；

The values of nonlinear characteristic parameters such as correlation dimension and K entropy are different for different steam pressure and solid holdup and multi-values are obtained for the same operation condition .

在第一部分研究结论的基础上，本文先后提取了测井曲线的两种混沌特征&关联维数和最大Lyapunov指数。

Based on the obtained conclusion of part 1 , two different chaotic features of well-logs , correlation dimension and maximal Lyapunov exponents , were extracted .

方法我们用关联维数（D2）、点关联维数（PD2）对30名健康成年人四种状态下的脑电数据进行了分析：安静闭眼、安静睁眼、闭眼心算作业和睁眼图形推理作业。

Methods EEG was recorded in 30 healthy university students under four states : eyes closed , eyes open , mental arithmetic with eyes closed and graphic reasoning test with eyes open .

我们对动物（兔子）在麻醉后3种不同病理情况下的标准同步12导联心电信号（Electrocardiogram，ECG）的关联维数D2的动态变化进行了初步的研究。

The dynamic changes of synchronous 12-lead ECG signal 's correlation dimension ( D 2 ) of an anesthetized rabbit were investigated primarily under three different pathologic conditions .

最后，对恒生指数日收盘价时间序列进行相空间重构，对其关联维数以及Kolmogorov熵进行了计算。

At last , we do the reconstruction of the phase space and compute its correlation dimension and Kolmogorov entropy .

关联维数和李雅普诺夫指数比较典型的值出现在磁赤道上空的，分别为3.6092和0.3369，确定TEC存在混沌现象。

The typical correlation dimension and the typical Lyapunov exponent , appeared over magnet equator , are 3.6092 and 0.3369 separately on .

研究结果表明，不同状态下主减速器信号的关联维数和最大Lyapunov指数有明显的可分性，两者都可以作为识别信号特征和程度的有效量化指标。

Experiments results show correlation dimension and largest lyapunov exponent of different main reducers are different , they can be used as the quantification factor of recognizing signal features and level .

本文主要研究了关联维数和Kolmogorov熵在转子振动故障模式判别中的应用。

In this thesis , methods of correlation dimension and Kolmogorov entropy for rotor vibration fault diagnosis are studied in combination .

通过对分形和混沌理论的学习研究，总结了关联维数和Kolmogorov熵的计算方法，给出了详细的计算步骤。并利用MATLAB语言编程实现算法。

Through the study of fractal and chaos theory , the algorithm for the calculation of correlation dimension and Kolmogorov entropy was introduced and was carried out using MATLAB codes .

实验结果表明，EEG关联维数能够反映脑信息处理过程中的神经元群活动状态，可作为脑信息处理的非线性特征参数。

Experiments showed that the correlation dimension of EEG signal can reflect the active conditions of neuronal groups during brain information processing and can be used as the non-linear parameter of brain information processing .

运用功率谱分析、自相关分析、相图、关联维数和K熵等非线性分析技术对汽液固三相流动沸腾传热系统中的温度波动信号进行了定性和定量研究。

Chaos analysis of the dynamic behavior of temperature fluctuations in a vapor-liquid-solid three phases flow boiling system was conducted in terms of power spectral density function , autocorrelation function , reconstructed phase space , correlation dimension and Kolmogorov entropy .

利用混沌理论的相空间重构方法，把lyapunov指数和关联维数作为可预测性的评价指标，判别系统的运行状态。

According to the use of the phase space reconstruction method of chaotic theory , the paper introduces the lyapunov exponent and the correlation dimension as the standard to identify systemic running state .

本文运用相空间重构技术，计算了银行间同业拆借利率日对数收益率的关联维数D、最大Lyapunov指数和Kolmogorov熵。

Using phase space reconstruction technology , this dissertation calculates correlation dimension D , the maximum Lyapunov exponent and Kolmogorov entropy of daily logarithmic yields of interbank rates .

ECG的最大Lyapunov指数和关联维数分别反映了心脏系统的混沌性和复杂性，两者间没有明确的对应关系。

The maximum Lyapunov exponents of ECG demonstrate the chaotic quality of the system and the correlation dimension of ECG demonstrates the complexity of the system , and there is no explicit relation between them .