带有时滞的弱非线性振子的重整化群分析

Renormalization group analysis of weakly nonlinear oscillators with time delay

重整化群(RG)方法是求解微分方程近似解的渐近方法之一.考虑了带有时滞的弱非线性振子,用重整化群方法得到了原问题的一阶渐近解.最后通过一个典型例子验证了该方法的有效性.

The renormalization group(RG)method is one of the asymptotic methods which are used to obtain approximate solutions of differential equations.In this article,weakly nonlinear oscillators with time delay are considered,and asymptotic solutions of first order to the original problem are obtained by the RG method.Furthermore,a typical example is given to support our result and also to demonstrate the effectiveness of the RG method.