Mathieu Equation (Parametric Oscillator)
Numerical and phase plane analysis of Mathieu equation / parametric oscillator
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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.
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Cite As
KSSV (2026). Mathieu Equation (Parametric Oscillator) (https://in.mathworks.com/matlabcentral/fileexchange/34381-mathieu-equation-parametric-oscillator), MATLAB Central File Exchange. Retrieved .
Acknowledgements
Inspired: Stability Chart
Categories
Find more on Numerical Integration and Differential Equations in Help Center and MATLAB Answers
General Information
- Version 1.0.0.0 (673 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.0.0.0 |
