Renormalization group methods for a Mathieu equation with delayed feedback |
| |
Authors: | Yunna Wu Xu Xu |
| |
Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
| |
Abstract: | This paper presents the application of the renormalization group (RG) methods to the delayed differential equation. By analyzing the Mathieu equation with time delay feedback, we get the amplitude and phase equations, and then obtain the approximate solutions by solving the corresponding RG equations. It shows that the approximate solutions obtained from the RG method are superior to those from the conventionally perturbation methods. |
| |
Keywords: | renormalization group methods RG equations time delay multi-scale method |
本文献已被 ScienceDirect 等数据库收录! |