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

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2006年 / 41卷 / 05期

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

页码：665 / 671

页数：7

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