An extension of the method of averaging
Author:
P. R. Sethna
Journal:
Quart. Appl. Math. 25 (1967), 205-211
MSC:
Primary 34.45
DOI:
https://doi.org/10.1090/qam/217384
MathSciNet review:
217384
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Additional Information
N. M. Bogoliuboff and Yu. A. Mitropolsky, Asymptotic methods in the theory of nonlinear oscillations, Gordon and Breach, New York, 1962, Chaps. 5 and 6
- Jack K. Hale, Oscillations in nonlinear systems, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1963. MR 0150402
Yu. A. Mitropolsky, Problems of the asymptotic theory of nonstationary vibrations, Daniel Davey, New York, 1965
- V. M. Volosov, The method of averaging, Soviet Math. Dokl. 2 (1961), 221–224. MR 0118924
N. M. Bogoliuboff and Yu. A. Mitropolsky, Asymptotic methods in the theory of nonlinear oscillations, Gordon and Breach, New York, 1962, p. 497
N. M. Bogoliuboff and Yu. A. Mitropolsky, Asymptotic methods in the theory of nonlinear oscillations, Gordon and Breach, New York, 1962, p. 404
- Jack K. Hale, Oscillations in nonlinear systems, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1963. MR 0150402
- Jack K. Hale, Oscillations in nonlinear systems, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1963. MR 0150402
- L. D. Landau and E. M. Lifshitz, Mechanics, Course of Theoretical Physics, Vol. 1, Pergamon Press, Oxford-London-New York-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass., 1960. Translated from the Russian by J. B. Bell. MR 0120782
J. L. Bogdanoff, Influence on the behavior of a linear dynamical system of some imposed rapid motions of small amplitude, J. Acoust. Soc. Amer. 34, 1055–1062 (1962)
E. R. Lowenstern, The stabilizing effect of imposed oscillations of high frequency on a dynamical system, Philos. Mag. 13, 458 (1932)
P. R. Sethna and G. W. Hemp, Nonlinear oscillations of a gyroscopic pendulum with an oscillating point of suspension, Proc. Colloq. Internat. du Centre National de la Recherche Scientifique N- 148, Les vibrations forcées dans les systémes non-lineaires, 1964, pp. 375–392
N. M. Bogoliuboff and Yu. A. Mitropolsky, Asymptotic methods in the theory of nonlinear oscillations, Gordon and Breach, New York, 1962, Chaps. 5 and 6
J. K. Hale, Oscillations in nonlinear systems, McGraw-Hill, New York, 1963
Yu. A. Mitropolsky, Problems of the asymptotic theory of nonstationary vibrations, Daniel Davey, New York, 1965
V. M. Volosov, The method of averaging, Dokl. Acad. Nauk SSSR 137, 21–24 (1961) = Soviet Math. Dokl. 2, 221–224
N. M. Bogoliuboff and Yu. A. Mitropolsky, Asymptotic methods in the theory of nonlinear oscillations, Gordon and Breach, New York, 1962, p. 497
N. M. Bogoliuboff and Yu. A. Mitropolsky, Asymptotic methods in the theory of nonlinear oscillations, Gordon and Breach, New York, 1962, p. 404
J. K. Hale, Oscillations in nonlinear systems, McGraw-Hill, New York, 1963, p. 123
J. K. Hale, Oscillations in nonlinear systems, McGraw-Hill, New York, 1963, p. 116
L. D. Landau and E. M. Lifshitz, Mechanics, Pergamon Press, 1960, pp. 93–95
J. L. Bogdanoff, Influence on the behavior of a linear dynamical system of some imposed rapid motions of small amplitude, J. Acoust. Soc. Amer. 34, 1055–1062 (1962)
E. R. Lowenstern, The stabilizing effect of imposed oscillations of high frequency on a dynamical system, Philos. Mag. 13, 458 (1932)
P. R. Sethna and G. W. Hemp, Nonlinear oscillations of a gyroscopic pendulum with an oscillating point of suspension, Proc. Colloq. Internat. du Centre National de la Recherche Scientifique N- 148, Les vibrations forcées dans les systémes non-lineaires, 1964, pp. 375–392
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Article copyright:
© Copyright 1967
American Mathematical Society
