The fourth chapter applies the exact linearization controlling method to control the approximate inertial manifolds of a partial differential system ks equation . this method can control the chaotic states into steady states and also can control the steady states into circle solutions . the chen equation and ks equation both have typical dynamical behavior and dynamical character 第四章中应用精确线性化控制方法对无穷维动力系统ks方程的近似惯性流形进行混沌控制，可以将传统近似惯性流形下的混沌状态控制为稳定状态，也可以将稳定近似惯性流形下的稳定状态控制为周期解。
We take the peak current controlled dc / dc boost converter as an example . we compare and analyze power spectrum of input inductance current quantitatively of chaotic operation and periodic operation of converter . the computer simulation results demonstrate that power spectrum of input current has lower peak of power spectrum of chaotic operation than it of periodic operation , and then emi level is reduced 以一个峰值电流控制dc dcboost型变换器为研究对象，在分析电路混沌现象的基础上，分别对该电路工作于混沌和周期两种状态下的输入电流频谱进行了定量分析对比，证实了在相同输出电压条件下，工作于混沌状态下电路输入电流的频谱与工作于周期状态下电路输入电流的频谱相比，频谱峰值减小，具有降低emi水平的效果。
Evolution mechanism of logistic equation is studied , and is used in a kind of cobweb model . the stability and the characters are studied with the change of parameters . finally the parameters " regions in which the economic system reaches the stability and the chaos are determined 第五章：逻辑斯蒂方程在蛛网模型分析中的应用本章研究了逻辑斯蒂方程的演化机制，并将它应用在一类蛛网模型的研究中，对模型进行动态分析和稳定性分析，研究了各种参数条件下的性态，确定了经济系统达到稳定状态的参数范围及进入混沌状态的参数范围。
From the numerical results , we can find that the exact linearization controlling methods has quite good control effect when it is applied to controlling chaos to steady states and controlling steady states to circle solutions . therefore this methods is a simple and effective way to the study of controlling chaos 从数值模拟的结果可以看出：应用精确线性化控制方法将混沌状态控制为稳定状态、或者将稳定状态控制为周期解都具有很好的控制效果，是一种研究混沌控制既简单又有效的方法。
