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Periodic solutions of non-linear differential equations of the second order. V

Published online by Cambridge University Press:  24 October 2008

Chike Obi
Chike Obi
Affiliation:
Pembroke CollegeCambridge and the Massachusetts Institute of Technology Cambridge (U.S.A), Under the Foreign Students Summer Project
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Extract

1·1. Let van der Pol's equation be taken in the form

where ε1, ε2, k1 and k2 are small, and ω ≠ 0 is a constant, rational or irrational, independent of them.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 4 , October 1951 , pp. 752 - 755
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCES

(1)Cartwright, M. L.Contributions to the theory of non-linear oscillations, edited by Lefschetz, S. Annals of Math. Studies, no. 20 (Princeton, 1950), pp. 195–6, §5·5.Google Scholar
(2)De Bruijn, N. G.Philips Research Reports, 1 (1946), 401–6.Google Scholar
(3)Levinson, N. and Smith, O. K.Duke Math. J. 9 (1942), 399, §4.CrossRefGoogle Scholar
(4)Obi, Chike. J. London Math. Soc. 25 (1950).Google Scholar
(5)Obi, Chike. Paper III of this series communicated to the London Math. Society.Google Scholar