Stability chart for eigenvalues of Mathieu equations
Stability chart for eigenvalues of Mathieu`s equations
The characteristic curves a_m(q) and b_m(q) in the plane (a, q) are shown on figure below.
This demo uses functions
You can compare this plot with DLMF http://dlmf.nist.gov/28.17 by launching demo from Scilab menu "? -> Scilab Demonstrations -> Mathieu functions -> Stability chart for eigenvalues of Mathieu`s equations" .
- Chapter 28 Mathieu Functions and Hill's Equation. Digital Library of Mathematical Functions. NIST. (online at http://dlmf.nist.gov/28).