A dual state variable model of the van der Pol oscillator |
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Authors: | Alvin Post Willem Stuiver |
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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 |
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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. |
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Keywords: | Van der Pol Perturbation DSV Dual state variables Oscillator |
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