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Quasi-periodic solutions of nonlinear ordinary differential equations with small damping
Author(s):
Marcelle
Friedman
Journal:
Bull. Amer. Math. Soc.
73
(1967),
460-464.
MathSciNet review:
0229911
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- V. I. Arnol'd, Small divisors and stability problems in classical and celestial mechanics, Uspehi Mat. Nauk SSSR 18, ser. 6 (114), (1963), 81-192. (Russian) MR 170705
- 2.
- N. N. Bogoliubov, On some statistical methods of mathematical physics, Izv. Acad. Nauk SSSR. 1945. (Russian)
- 3.
- N. N. Bogoliubov, On quasi-periodic solutions in nonlinear problems of mechanics, Lectures held at the First Mathematical Summer School, Kanev, 1963, Akad. Nauk, Ukrain. SSSR, 1964.
- 4.
- H. Bohr and O. Neugebauer, Über lineare Differential-gleichungen mit konstanten Koeffizienten und fast-periodischen rechter Seite, Nachr. Akad. Wiss. Göttingen, Math. phys. Kl 1926, pp. 8-22.
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- I. G. Malkin, Some problems in the theory of nonlinear oscillations, State Publishing House, Moscow, 1956.
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- J. Moser, A new technique for the construction of solutions of nonlinear differential equations, Proc. Nat. Acad. Sci., U.S.A. 47 (1961), 1824-1831. MR 132859
- 9.
- J. Moser, Combination tones for Duffing's equation, Comm. Pure Appl. Math. 18 (1965), 167-181. MR 179430
- 10.
- J. J. Stoker, Nonlinear vibrations, Interscience, New York, 1950, pp. 235-239. MR 34932
Additional Information:
DOI:
10.1090/S0002-9904-1967-11783-X
PII:
S 0002-9904(1967)11783-X
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