A numerical determination of subharmonic response for the Duffing equation 𝑥̈+𝛼𝑥+𝛽𝑥³=𝑓𝑐𝑜𝑠𝜔𝑡(𝛼>0)*

Levenson, Morris E.

doi:10.1090/qam/99909

Online ISSN 1552-4485; Print ISSN 0033-569X

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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
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References | Additional Information

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