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Online ISSN 1552-4485; Print ISSN 0033-569X
Oscillations of a pendulum under parametric excitation
Author:
Raimond A. Struble
Journal:
Quart. Appl. Math. 21 (1963), 121-131
DOI:
https://doi.org/10.1090/qam/153149
MathSciNet review:
153149
Full-text PDF Free Access
References | Additional Information
- Richard Skalak and M. I. Yarymovych, Subharmonic oscillations of a pendulum, J. Appl. Mech. 27 (1960), 159–164. MR 0109457
- Raimond A. Struble and John E. Fletcher, General perturbational solution of the harmonically forced van der Pol equation, J. Mathematical Phys. 2 (1961), 880–891. MR 136824, DOI https://doi.org/10.1063/1.1724236
- Raimond A. Struble and Steve M. Yionoulis, General perturbational solution of the harmonically forced Duffing equation, Arch. Rational Mech. Anal. 9 (1962), 422–438. MR 136813, DOI https://doi.org/10.1007/BF00253364
- Raimond A. Struble, Nonlinear differential equations, International Series in Pure and Applied Mathematics, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1961. MR 0130408 N. Bogoliubov and I. Mitropolsky, Asymptotic methods in the theory of nonlinear $^{O}$scillations, Gos. Izd. Fiz. Mat., Moscow, 1955
- Paul F. Byrd and Morris D. Friedman, Handbook of elliptic integrals for engineers and physicists, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete. Bd LXVII, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1954. MR 0060642
Additional Information
Article copyright:
© Copyright 1963
American Mathematical Society