Construction of approximate periodic solutions to a modified van der Pol oscillator

被引：7
|
作者：
Marinca, V. [1 ]
Draganescu, G. E. [1 ]
机构：
[1] Polytech Univ Timisoara, Dept Mech & Vibrat, Timisoara 300222, Romania
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期
关键词：
Iteration procedure; Approximate method; Modified van der Pol equation; Periodic solution; Nonlinear oscillation; ITERATION PERTURBATION METHOD; NONLINEAR OSCILLATORS; LIMIT-CYCLE;
D O I：
10.1016/j.nonrwa.2010.05.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new iteration scheme is proposed and applied for the modified van der Pol oscillator. A simple and effective iteration procedure to search for the periodic solutions of the equation is given. This procedure is a powerful tool for the determination of the approximate frequencies and periodic solutions of the nonlinear differential equations. The solutions obtained using the present iteration procedure are in good agreement with the numerical integration obtained by a fourth order Runge-Kutta method, which shows the applicability of the procedure. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4355 / 4362
页数：8
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