Counting limit cycles with the help of the renormalization group

被引：0
作者：
D. Das
D. Banerjee
J. K. Bhattacharjee
A. K. Mallik
机构：
[1] South Point High School,Department of Mathematics
[2] Jadavpur University,Department of Physics
[3] S.N. Bose National Centre for Basic Sciences,undefined
来源：
The European Physical Journal D | 2011年 / 61卷
关键词：
Renormalization Group; Stable Limit Cycle; Amplitude Equation; Divergent Term; Dimensional Dynamical System;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use the renormalization group to set up an easy algorithm for finding the amplitude equation for an arbitrary two dimensional dynamical system of the Liénard type. This allows us to address the second part of Hilbert’s sixteenth problem, at least in the weak damping limit.
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页码：443 / 448
页数：5
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