Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



The damped Mathieu equation

Author: Lawrence Turyn
Journal: Quart. Appl. Math. 51 (1993), 389-398
MSC: Primary 34C15; Secondary 34B30, 34C25, 34D10, 70J40
DOI: https://doi.org/10.1090/qam/1218375
MathSciNet review: MR1218375
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Abstract: We establish an asymptotic lower bound for the minimum excitation needed to cause instability for the damped Mathieu equation. The methods used are Floquet theory and Liapunov-Schmidt, and we use a fact about the width of the instability interval for the undamped Mathieu equation. Our results are compared with published numerical data.

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DOI: https://doi.org/10.1090/qam/1218375
Article copyright: © Copyright 1993 American Mathematical Society

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