A dual state variable model of the van der Pol oscillator

被引:0
|
作者
Post, Alvin [1 ]
Stuiver, Willem
机构
[1] Arizona State Univ, Dept Mech & Mfg Engn Technol, Mesa, AZ 85212 USA
[2] Univ Hawaii, Dept Mech Engn, Honolulu, HI 96822 USA
关键词
van der Pol; perturbation; DSV; dual state variables; oscillator;
D O I
10.1016/j.ijnonlinmec.2006.01.004
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A new, "dual" state variable (DSV) formulation is used to construct a model of the van der Pol oscillator. The model is valid for small degrees of non-linearity, and results are superior to those from a common perturbation technique, especially as non-linearity begins to increase. The DSV formulation utilizes a unique state space, and behavior in this space is illustrated for a wider range of non-linearity. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:665 / 671
页数:7
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