Bifurcations of the forced van der Pol oscillator

Holmes, P. J.; Rand, D. A.

doi:10.1090/qam/492551

Authors: P. J. Holmes and D. A. Rand
Journal: Quart. Appl. Math. 35 (1978), 495-509
MSC: Primary 34C15
DOI: https://doi.org/10.1090/qam/492551
MathSciNet review: 492551
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Abstract: We discuss the bifurcations of the variational equation of the forced van der Pol oscillator and prove the existence of bifurcations of saddle connection type as postulated by M. L. Cartwright [4] and A. W. Gillies [5].

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