| 摘要: |
| 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. |
| 关键词: 重整化群(RG)方法 时滞 误差分析 |
| DOI：10.3969/J.ISSN.1000-5137.2020.03.003 |
| 分类号:O175 |
| 基金项目:The Natural Science Foundation of Shanghai (19ZR1400500) |
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| Renormalization group analysis of weakly nonlinear oscillators with time delay |
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WANG Yiling, XIE Feng
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College of Science, Donghua University, Shanghai 201620, China
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| Abstract: |
| 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. |
| Key words: renormalization group (RG) method time delay error estimate |
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