On the application of elliptic functions in non-linear forced oscillations
Author:
C. S. Hsu
Journal:
Quart. Appl. Math. 17 (1960), 393-407
MSC:
Primary 70.00; Secondary 33.00
DOI:
https://doi.org/10.1090/qam/110250
MathSciNet review:
110250
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Additional Information
A. Erdelyi, ed., Higher transcendental functions, vol. II, McGraw-Hill Book Co., New York, 1953
- Eugene Jahnke and Fritz Emde, Tables of Functions with Formulae and Curves, Dover Publications, New York, 1943. MR 0008332
- Heinz Helfenstein, Ueber eine spezielle Lamésche Differentialgleichung, mit Anwendung auf eine approximative Resonanzformel der Duffingschen Schwingungsgleichung, Thesis, Eidgenössische Technische Hochschule in Zürich, 1950 (German). MR 0043298
- C. S. Hsu, On simple subharmonics, Quart. Appl. Math. 17 (1959), 102–105. MR 101938, DOI https://doi.org/10.1090/S0033-569X-1959-0101938-7
- L. M. Milne-Thomson, Jacobian elliptic function tables, Dover Publications, Inc., New York, N. Y., 1950. MR 0088071
- R. M. Rosenberg, On the periodic solutions of the forced oscillator equation, Quart. Appl. Math. 15 (1958), 341–354. MR 92051, DOI https://doi.org/10.1090/S0033-569X-1958-92051-1
R. M. Rosenberg, A note on the response of systems with and without non-linear elements, Proc. International Congress of Mathematicians, vol. I, American Mathematical Society, Providence, R. I., 1952, p. 649
J. J. Stoker, Non-linear vibration, Interscience Publications, Inc., New York, 1950
E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge University Press, New York, 1947
A. Erdelyi, ed., Higher transcendental functions, vol. II, McGraw-Hill Book Co., New York, 1953
E. Jahnke and F. Emde, Tables of functions with formulae and curves, Dover Publications, New York, 1943
H. Helfenstein, Ueber eine spezielle Lamesche Differentialgleichung, mit Anwendung auf eine approximative Resonanzformel der Duffingschen Schwingungsgleichung, Eidgenoessische Technische Hochschule in Zurich, Promotionsarbeit # 1985, Zurich, 1950
C. S. Hsu, On simple subharmonics, to be published in Quart. Appl. Math.
L. M. Milne-Thomson, Jacobian elliptic function tables, Dover Publications, Inc., New York, 1950
R. M. Rosenberg, On the periodic solutions of the forced oscillator equation, Quart. Appl. Math. 15, 341 (1958)
R. M. Rosenberg, A note on the response of systems with and without non-linear elements, Proc. International Congress of Mathematicians, vol. I, American Mathematical Society, Providence, R. I., 1952, p. 649
J. J. Stoker, Non-linear vibration, Interscience Publications, Inc., New York, 1950
E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge University Press, New York, 1947
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Article copyright:
© Copyright 1960
American Mathematical Society