On the non-uniqueness of periodic solutions for an asymmetric Liénard equation

Duff, G. F. D.; Levinson, N.

doi:10.1090/qam/46511

Authors: G. F. D. Duff and N. Levinson
Journal: Quart. Appl. Math. 10 (1952), 86-88
MSC: Primary 36.0X
DOI: https://doi.org/10.1090/qam/46511
MathSciNet review: 46511
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Solomon Lefschetz, Lectures on Differential Equations, Annals of Mathematics Studies, No. 14, Princeton Univeristy Press, Princeton, N. J.; Oxford University Press, London, 1946. MR 0016788
Norman Levinson and Oliver K. Smith, A general equation for relaxation oscillations, Duke Math. J. 9 (1942), 382–403. MR 6792

A. Liénard, Étude des oscillations entretenues, Rev. Gen. d’Élect. 23, 901-946 (1928).

H. Poincaré. Les méthodes nouvelles de la mécanique céleste, Vol. 1, Gauthier-Villars, Paris, 1892, Chap. III.

H. Serbin, Periodic motions of a nonlinear dynamic system, Quart. Appl. Math. 8 (1950), 296–303. MR 36906, DOI https://doi.org/10.1090/S0033-569X-1950-36906-6