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.
| Original language | American English |
|---|---|
| Journal | Quarterly of Applied Mathematics |
| Volume | 51 |
| State | Published - Jun 1 1993 |
Disciplines
- Applied Mathematics
- Applied Statistics
- Mathematics
- Physical Sciences and Mathematics
- Statistics and Probability