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Online ISSN 1552-4485; Print ISSN 0033-569X
A numerical determination of subharmonic response for the Duffing equation $\ddot x+\alpha x+\beta x^3=f\operatorname {cos}\omega t\ (\alpha >0)^*$
Author:
Morris E. Levenson
Journal:
Quart. Appl. Math. 25 (1967), 11-17
DOI:
https://doi.org/10.1090/qam/99909
MathSciNet review:
QAM99909
Full-text PDF Free Access
References | Additional Information
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K. O. Friedrichs, Justification of the perturbation method, Lectures delivered at Brown University, Dec. 5, 1942; Jan. 23, 1943
- Kaiser S. Kunz, Numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1957. MR 0088045
- Morris E. Levenson, Harmonic and subharmonic response for the Duffing equation $x+\alpha x+\beta x^3=F \cos \omega t\;(\alpha >0)$, J. Appl. Phys. 20 (1949), 1045–1051. MR 33426
- J. J. Stoker, Nonlinear Vibrations in Mechanical and Electrical Systems, Interscience Publishers, Inc., New York, N.Y., 1950. MR 0034932
Additional Information
Article copyright:
© Copyright 1967
American Mathematical Society