Through the analysis and simulation research of typical chaotic systems and chaos analysis technology, we complete the computation of Lyapunov exponent and fractal dimension of typical chaotic systems.
对典型的混沌系统进行了深入地分析和数值仿真研究，着重研究了混沌分析识别技术，对现有的混沌分析识别技术进行了仿真，并在此基础上完成了典型混沌系统Lyapunov指数和分维数仿真计算。
参考来源 - 混沌理论及其在信息安全和优化中的应用研究Great majority are restricted to but economy time series-based chaotic analysis and textual criticism also only to chaotic research, do not go deep into reach the result having actual significance concretely.
但是对于混沌的研究大多数也仅限基于经济时间序列的混沌分析及考证，并没有深入具体得出具有实际意义的结果。
参考来源 - 边际消费倾向的混沌现象及其混沌控制的研究·2,447,543篇论文数据，部分数据来源于NoteExpress
首先对混沌分析中的关联维计算方法进行了研究。
First, the calculation of the correlation dimension of the chaotic analysis method is studied.
改进导数重构法的提出对混沌分析方法的实际应用有着重要意义。
The proposal improved derivative reconstruction method is significant to the practical application of the chaotic analysis method.
介绍了混沌分析方法的计算步骤；并以矿井火灾过程进行了实例分析。
The calculation program of the analytical method is introduced, which is exemplified by the process of a mining fire.
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