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说明：  齿轮动力学分析，计算duffing系统下特性，振动情况等(To solve the nonlinear problem of gear dynamics analysis, the calculation of duffing system characteristics, vibration, and so on)

这是姜启源教授在清华大学讲解数学建模课程的资料，对于数学建模由入门到精通十分有用(lecture in math modeling,given by Professor JiangQiyuan )

本论文首先阐述了利用Duffing振子进行微弱信号检测的基本方法及具体实现方法，论证了根据系统相轨迹的变化来判断目标信号中是否含有周期信号的混沌振子检测方法。将Lyapunov特性指数作为一种定量的混沌判别方法应用到微弱信号混沌检测领域，分别研究了连续系统和时间序列的Lyapunov指数计算方法。(his paper first discusses how to use the Duffing oscillator are the weak signal detection, the basic method and the realization methods, proved according to the change of the phase track system to judge whether a cycle of target signal of chaotic oscillator signal detection methods. Will Lyapunov characteristics as a quantitative index of chaotic identifying method applied to a weak signal detection field chaos, respectively, the continuous system and research of time sequence Lyapunov index calculation method. )

根据刘金坤老师那本PID控制书籍，搭建的单神经元PID控制仿真模型(According to that PID control books of Liu Jinkun teacher , this is a single neuron PID control simulation model)

lud算法基于matlab(lud algorithm is based on matlab)

用于信号处理中的峰值检测，里面有demo，可以直接运行(peak finder)

Matlab International Ionosphere Model

MATLAB7.0基础教程_清华大学，很好的教材，适用于0基础的人(Tutorial for MATLAB7.0)

Gardner位同步算法的MATLAB仿真程序，里面包含了多个Gardner的MATLAB程序对于研究人员来说，具有重要价值。(Gardner, a synchronization algorithm of MATLAB simulation program, it contains more Gardner MATLAB programs for researchers, it has important value.)

matalab的蚁群算法解最短路问题程序，并有运行图，修改后可用于机器人路径(ant colony algorithm matalab solution procedures for the shortest path problem and run the map, the modified robot path can be used)