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On the periodic solution of the Van der Pol oscillator with large damping

Published online by Cambridge University Press:  14 November 2011

E. M. El-Abbasy
E. M. El-Abbasy
Affiliation:
Department of Pure Mathematics, The University College of Wales, Aberystwyth, Dyfed S723 3BZ
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Synopsis

Littlewood showed that the forced Van der Pol oscillator with 0<b<⅔ and k large normally has subharmonic solutions of order 2n + l where n ≅ O([⅔−b]k). Numerical experiments suggest that n ≅ (⅔ –b)k/3 as k →∞. A refinement of Littlewood's calculation is given which leads to this result.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 100 , Issue 1-2 , 1985 , pp. 103 - 106
Copyright
Copyright © Royal Society of Edinburgh 1985

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References

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