A pure sine-wave oscillator with a fast settling time
Published online by Cambridge University Press: 01 April 1998
Abstract
An unforced oscillator which obeys the equation x¨+α (x2+x˙2−1)x˙+x=0 has a pure sine-wave limit cycle which is attained rapidly for a range of values of α. In this paper, free and forced oscillation of this equation are examined experimentally and compared with those for the Van der Pol oscillator. Asymptotic solutions for small α confirm the experimental results.
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- Copyright © Cambridge University Press 1998
Footnotes
Sadly Dr Robinson died while this paper was being processed. He was a mathematically-minded scientist whose interests far transcended those of EJAM and he will be greatly missed.
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