When the pivot of simple pendulum is excited periodically in vertical direction, it gives Mathieu equation. Numerical and phase plane analysis of Mathieu equation is done using ODE45. Stability, instability of the parametric oscillator is discussed. Stability chart for the MAthieu equation is given. Parametric resonance behavior is shown and discussed.
For more documentation and updates check my homepage link:
KSSV (2022). Mathieu Equation (Parametric Oscillator) (https://www.mathworks.com/matlabcentral/fileexchange/34381-mathieu-equation-parametric-oscillator), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
Inspired: Stability Chart
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!Start Hunting!