一类非线性微分方程组奇点稳定的条件
The Stable Conditions of Singular Point for a Class Nonlinear Differential Equation
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摘要: 本文讨论了一类非线性电路微分方程组奇点稳定的条件,用线性近似的方法,讨论了方程组(1)中参数P*对奇点稳定性的影响,得到了奇点(P*/Ф,Ф)在P*<P1*是稳定的.Abstract: The paper discusses the stable conditions of singular point for a class nonlinear differential equation of circuit and the influence of parameter P* on stability of the singular point for equations(1),and obtains the result that singular point(P*/Φ,Φ) is stable in P*<P1* by using method of linear approximation.