本文给出作为混沌经济学的数学基础的混沌与分形的简短介绍。
In this paper, a short introduction to chaos and fractal as mathematical base of the chaotic economy has been given.
研究了混沌与分形的特征参数?关联维数的计算方法和参数的选择。
The calculation of chaos and fractal characteristic parameter, the correlation, is studied.
研究了混沌与分形的特征参数?关联维数的计算方法和参数的选择。
These arithmetics are applied to recognise information of erode features in coating material and compute erode feature parameter of coating material.
方法：应用非线性动力学的混沌与分形理论对正常受试者和患者的TMJ音进行分形分析。
Methods: fractal analysis of TMJ sounds in normal subjects and patients were done by the theory of chaos and fractal in nonlinear dynamics.
使用混沌与分形分析的例程，LCMV优化设计阵列处理信号，利用最小二乘法进行拟合多元非线性方程。
Use Chaos and fractal analysis routines, LCMV optimization design array signal processing, Multivariate least squares fitting method of nonlinear equations.
论述混沌与分形的基本特征，重点提出把混沌与分形分析方法引入环境科学中，探索环境现象变化的新途径。
Discusses the chaos and fractal basic characteristic. puts its analysis method into environment science, investigate the new path that environment phenomenon change.
在股价时序数据不存在噪音的假设前提下，利用相空间重构技术对中国股票市场的混沌与分形特征进行实证研究。
Under the hypothesis of empty of noise, utilizing technology of phase-space reconstruction to empirically study the chaos and fractal feature of China stock market.
本文较详细地综述了近年来分形与混沌理论在地震学中的应用研究。
In this article, the applied investigations of fractals and chaotic theory to seismology are reviewed in detail.
分形与混沌原理不仅丰富了设计艺术语言，还渗透进其观念。
Chaos theory and Fractal geometry not only richened the language of design art, but complemented with their new concepts.
论文讨论了分形与混沌、分形与小波之间的关系，简要介绍了分形在数字图像水印技术中的应用。
In the dissertation, author discusses the relations of fractal with chaos and of fractal with wavelet, and introduces briefly the application of fractal in digital image watermarking techniques.
提出分形上的混沌动力系统以及混沌与神经网络相结合的方法，可为水科学问题的研究能提供一些新的思路。
Finally, we suggest that the fractal chaos dynamical system and the mean of combining chaos with neural net provide several new methods in the future studying.
该文简要介绍了混沌理论的四个主题：有界、极为有限的可预测性、分形与分维、普适性。
This paper gives a brief account of four themes of chaos theory, bound, fractal geometry fractal dimension, too limited predictability, universality.
基于混沌和分形理论，分析了描述煤与瓦斯突出动态前兆非线性特征的方法和指标。
Based on chaos and fractal theories, the methods and indices for characterizing the nonlinear patterns of dynamic precursors of coal and gas outburst were analyzed.
基于混沌和分形理论，分析了描述煤与瓦斯突出动态前兆非线性特征的方法和指标。
Based on chaos and fractal theories, the methods and indices for characterizing the nonlinear patterns of dynamic precursors of coal and gas outburst were analyzed.
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