Literature Cited
N. N. Bogolyubov, Certain Statistical Methods in Mathematical Physics [in Russian], L'vov, 1945.
N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow, 1963.
N. N. Bogolyubov and Yu. A. Mitropol'skii. Proceedings of a Symposium on Nonlinear Oscillations [in Russian], Kiev, 1961.
J. K. Hale, Oscillations in Nonlinear Systems [Russian translation], Izd. Mir, Moscow, 1966.
V. M. Volosov and B. I. Morgunov, Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki,8, No. 2, 251, 1968.
V. M. Volosov, collection: Mechanics in the USSR in the Last 50 Years, Vol. 1 [in Russian], Izd. Nauka, Moscow, 1968.
Yu. A. Mitropol'skii and O. B. Lykova, Lectures on the Method of Integral Manifolds [in Russian], Institut matematiki AN UkrSSR, Kiev, 1968.
Yu. I. Neimark, Izv. VUZ. Radiofizika,10, No. 3, 311, 321, 1967.
A. S. Gurtovnik and Yu. I. Neimark, Differentisial'nye uravneniya,5, no. 5, 824, 1969.
B. M. Levitan, Almost-Periodic Functions [in Russian], Gostekhizdat, Moscow, 1953.
V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations [in Russian], Gostekhizdat, Moscow-Leningrad, 1949.
Additional information
Scientific-Research Institute of Applied Mathematics and Cybernetics, Gorky University. Translated from Izvestiya VUZ. Radiofizika, Vol. 12, No. 11, pp. 1597–1608, November, 1969.
Rights and permissions
About this article
Cite this article
Gurtovnik, A.S., Neimark, Y.I. Integral manifolds of differential equations with rapidly rotating phase. Radiophys Quantum Electron 12, 1243–1252 (1969). https://doi.org/10.1007/BF01030860
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01030860