ASYMPTOTIC SOLUTIONS AND COMPARISONS OF A GENERALIZED VAN DEL POL OSCILLATOR WITH SLOWLY VARYING PARAMETER

被引：0
|
作者：
Cai, Ping [1 ]
Cai, Jianping [1 ]
机构：
[1] Zhangzhou Teachers Coll, Dept Math, Zhangzhou 363000, Peoples R China
来源：
MATHEMATICAL & COMPUTATIONAL APPLICATIONS | 2009年 / 14卷 / 02期
关键词：
Van del Pol equation; slowly varying parameter; approximate potential method; equivalent nonlinearization method; multiple scales method; numerical verification; NONLINEAR OSCILLATORS; PERTURBATION METHOD;
D O I：
10.3390/mca14020159
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalized Van del Pol oscillator with slowly varying parameter is studied. The leading order approximate solutions are obtained respectively by three methods and comparisons are made with numerical results. Different amplitudes are also made to compare the accuracy of the three methods.
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页码：159 / 168
页数：10
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