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Mathieu Equation (Parametric Oscillator)

version (673 KB) by KSSV
Numerical and phase plane analysis of Mathieu equation / parametric oscillator


Updated 29 Dec 2011

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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 (2022). Mathieu Equation (Parametric Oscillator) (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Inspired: Stability Chart

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Mathieu Equation (Parametric Oscillator)/