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微分方程的平衡点可分为稳定和不稳定两种。当轻轻扰动平衡点时,系统状态就会剧烈变化。若新的状态决不会回到原平衡点,此点就是不稳定的;相反,如果一个系统在稳定平衡点附近受到干扰,它总是企图回到平衡点,那么此点就是稳定的。用这一数学工具可以解决诸如渔场鱼量等一系列实际问题。
The balance of differential equations can be divided into two kinds of stability and instability. When you gently disturb the equilibrium point, the system state will change dramatically. This point is unstable if the new state never returns to the original equilibrium point; on the contrary, if a system always attempts to get back to the equilibrium point if it is disturbed near the equilibrium point, then this point is stable. This mathematical tool can be used to solve a series of practical problems such as fish stocks.