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Jump phenomenon in a Van der Pol oscillator. (English) Zbl 0218.93008


MSC:

93C80 Frequency-response methods in control theory
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[1] Stoker, J. J., Nonlinear Vibrations, ((1966), Interscience: Interscience New York), 147-187 · Zbl 0809.70001
[2] Gille, J. C.; Decaulne, P.; Pélegrin, M., Méthodes Modernes d’Étude des Systèmes Asservis (1967), Dunod: Dunod Paris · Zbl 0189.45701
[3] Minorsky, N., Introduction to Non-linear Mechanics, ((1947), J. W. Edwards: J. W. Edwards Ann Arbor, Mich), 341-354
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[9] Chaléat, R., Sur l’équation de Lord Rayleigh, (Colloques internationaux du C.N.R.S., No. 148. Colloques internationaux du C.N.R.S., No. 148, Editions du C.N.R.S (1965)), 287 · Zbl 0152.09101
[10] Le Pourhiet, A.; Le Maitre, J. F., Une méthode générale d’étude de la stabilité d’un système non linéaire oscillant, Int. J. Control, 12, 281-288 (1970) · Zbl 0201.11902
[11] Cartwright, M. L., Forced oscillations in nearly sinusoidal systems, J. Inst. Elec. Eng. (London), 95, 3, 88-96 (1948)
[12] Gillies, A. W., On the transformation of singularities and limit cycles of the variational equations of Van der Pol, Q. J. Mech. Appl. Math, 7 (1954), part 2 · Zbl 0055.31901
[13] Pelegrin, M.; Gille, J. C.; Decaulne, P., Les Organes des Systémes Asservis (1965), Dunod: Dunod Paris · Zbl 0097.07601
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