Mathieu Equation (Parametric Oscillator)
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 (2024). Mathieu Equation (Parametric Oscillator) (https://www.mathworks.com/matlabcentral/fileexchange/34381-mathieu-equation-parametric-oscillator), MATLAB Central File Exchange. Retrieved .
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- MATLAB > Mathematics > Numerical Integration and Differential Equations >
- Physical Modeling > Simscape Multibody > Multibody Modeling > Assembly >
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Acknowledgements
Inspired: Stability Chart
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Mathieu Equation (Parametric Oscillator)/
Version | Published | Release Notes | |
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1.0.0.0 |