Title

The Damped Mathieu Equation

Document Type

Article

Publication Date

6-1993

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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.

Comments

First published in the Quarterly of Applied Mathematics in volume 51, issue 2, published by Brown University.

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