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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引用
KSSV (2024). Mathieu Equation (Parametric Oscillator) (https://www.mathworks.com/matlabcentral/fileexchange/34381-mathieu-equation-parametric-oscillator), MATLAB Central File Exchange. 取得済み .
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