Article
The Damped Mathieu Equation
Quarterly of Applied Mathematics
Document Type
Article
Publication Date
6-1-1993
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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 Lyapunov-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.
Citation Information
Larry Turyn. "The Damped Mathieu Equation" Quarterly of Applied Mathematics Vol. 51 Iss. 2 (1993) p. 389 - 398 ISSN: 0033-569X Available at: http://works.bepress.com/larry_turyn/4/
First published in the Quarterly of Applied Mathematics in volume 51, issue 2, published by Brown University.