中文说明：资源描述虽然动态过程的变化规律一般要用微分方程建立的动态模型来描述，但是对于某些 实际问题，建模的主要目的并不是要寻求动态过程每个瞬时的性态，而是研究某种意义 下稳定状态的特征，特别是当时间充分长以后动态过程的变化趋势。譬如在什么情况下 描述过程的变量会越来越接近某些确定的数值，在什么情况下又会越来越远离这些数值 而导致过程不稳定。为了分析这种稳定与不稳定的规律常常不需要求解微分方程，而可 以利用微分方程稳定性理论，直接研究平衡状态的稳定性就行了。
English Description：
Application backgroundAlthough the dynamic process of the change of the law is generally used to establish the dynamic model of differential equations to describe, but for someThe practical problem, the main purpose of the modeling is not to seek the dynamic process of each transient state, but to study the meaning of a certainThe characteristics of the stable state, especially when the time is sufficiently long after the dynamic process of the change trend. For example, in what circumstancesVariables that describe the process are getting closer and closer to some certain values, and in what case they are getting away from these values.And lead to process instability. In order to analyze the regularity of the stability and instability, it is often not required to solve the differential equations.The stability of equilibrium state is studied by using the stability theory of differential equation.