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Mathieu Equation (Parametric Oscillator)

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Mathieu Equation (Parametric Oscillator)

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Numerical and phase plane analysis of Mathieu equation / parametric oscillator

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Description

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:
https://sites.google.com/site/kolukulasivasrinivas/

Acknowledgements

This file inspired Stability Chart.

Required Products MATLAB
MATLAB release MATLAB 7.10 (R2010a)
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