ANALYTICAL SOLUTIONS OF PERIOD-1 MOTIONS IN A PERIODICALLY FORCED VAN DER POL OSCILLATOR

被引:0
作者
Luo, Albert C. J. [1 ]
Lakeh, Arash Baghaei [1 ]
机构
[1] So Illinois Univ, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA
来源
INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION - 2012, VOL 4, PTS A AND B | 2013年
关键词
EQUATION;
D O I
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the approximate analytical solutions of period-1 motion in the periodically forced van der Pol oscillator are obtained by the generalized harmonic balanced method. The stability and bifurcation analysis of the period-1 solutions is completed through the eigenvalue analysis, and numerical illustrations of periodic-1 solutions are given to verify the approximate motion. This investigation provides more accurate solutions of period-1 motions in the van der pol oscillator for a better and comprehensive understanding of motions in such an oscillator.
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页码:105 / 113
页数:9
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