| Autor: |
Nwaigwe, Dwight |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Physics; Jun2021, Vol. 62 Issue 6, p1-7, 7p |
| Abstrakt: |
The form of the fundamental set of solutions of the damped Mathieu equation is determined by Floquet theory. In the limit as m → 0, we can apply WKB theory to get first order approximations of the fundamental set. WKB theory states that this approximation gets better as m → 0 and T is fixed. However, convergence of the periodic part and characteristic exponent is not addressed. We show that they converge to those predicted by WKB theory. We also provide a rate of convergence that is not dependent on T. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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