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A dual state variable model of the van der Pol oscillator
Authors:Alvin Post  Willem Stuiver
Affiliation:a Department of Mechanical and Manufacturing Engineering Technology, Arizona State University—East, Mesa, AZ 85212, USA
b Department of Mechanical Engineering, University of Hawaii, Honolulu, HI 96822, USA
Abstract: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.
Keywords:Van der Pol   Perturbation   DSV   Dual state variables   Oscillator
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