ANALYSIS OF THE LIMIT CYCLE OF A GENERALISED VAN DER POL EQUATION BY A TIME TRANSFORMATION METHOD
作者： G. M. Moremedi , D. P. Mason
DOI: 10.1080/16073606.1994.9631770
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摘要: Abstract The properties of the limit cycle a generalised van der Pol equation form u + = e (1—u2n)u, where is small and n any positive integer, are investigated by applying time transformation perturbation method due to Burton. It found that as increases amplitude oscillation decreases its period increases. solution compared with derived using multiple scales numerical solution. that, first order in e, for agrees better than Both solutions give same result second e. accuracy
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