A note on the stability of solutions of the Hill equation with a square-wave coefficient |
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Authors: | D.Roger Willis |
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Affiliation: | Mechanical Engineering Department, University of California, Berkeley, CA 94720, U.S.A. |
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Abstract: | The results of Van der Pol and Strutt [Phil. Mag.5, 18 (1928)] on the stability of solutions to the Hill equation for a square-wave coefficient have been re-examined. More accurate and extensive results for the stability boundaries are presented, with emphasis on the closed unstable regions which are imbedded in the stable regions. |
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