New Search

Export article

On the convergence of WKB approximations of the damped Mathieu equation

Journal of Mathematical Physics , Volume 62; doi:10.1063/1.5145267

Abstract: 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.
Keywords: WKB / convergence / Floquet / exponent / damped Mathieu equation

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

Share this article

Click here to see the statistics on "Journal of Mathematical Physics" .
References (7)
    Back to Top Top