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Multifrequency oscillations of weakly nonlinear second-order systems

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Literature cited

  1. M. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974), p. 501.

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  2. Yu. A. Mitropol'skii and A. M. Samoilenko, “Quasiperiodic oscillations in nonlinear systems,” Ukr. Mat. Zh.,24, No. 2 (1972).

  3. Yu. A. Mitropol'skii and A. M. Samoilenko, “The asymptotic investigation of weakly nonlinear systems,” Preprint IM-76-5, Izd. Inst. Mat. Akad. Nauk UkrSSR, Kiev (1976).

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  4. A. Blaquiere, Nonlinear System Analysis, Academic Press (1966).

  5. Yu. A. Mitropol'skii and A. M. Samoilenko, “Asymptotic expansions for quasiperiodic solutions in quasilinear systems of second order,” in: Asymptotic and Qualitative Methods in the Theory of Nonlinear Oscillation [in Russian], Izd. Inst. Mat. Akad. Nauk UkrSSR, Kiev (1971).

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  6. A. M. Samoilenko and I. P. Momot, “Quasiperiodic oscillations in nonlinear second-order systems in the case of resonance,” Mat. Fiz., Kiev, Naukova Dumka, No. 15 (1974).

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Authors and Affiliations

  1. Mathematics Institute Academy of Sciences of the Ukrainian SSR, Kiev State University, USSR

    Yu. A. Mitropol'skii & A. M. Samoilenko

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  1. Yu. A. Mitropol'skii
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  2. A. M. Samoilenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 6, pp. 745–762, November–December, 1976.

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Mitropol'skii, Y.A., Samoilenko, A.M. Multifrequency oscillations of weakly nonlinear second-order systems. Ukr Math J 28, 572–586 (1976). https://doi.org/10.1007/BF01094124

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  • DOI: https://doi.org/10.1007/BF01094124

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