Mathieu Equation is a special type of Hill's equation, which is a non- autonomous differential equation. The focal point in this is stability if the solution, which is shown as plot of system parameters. Method's like perturbation, average parameters, Hill's determinants, Floquet theory etc., can be used the plot the stability charts. The present code plots the stability chart of the Mathieu equation using Hill's infinite determinants method.
引用
KSSV (2024). Stability Chart (https://www.mathworks.com/matlabcentral/fileexchange/35355-stability-chart), MATLAB Central File Exchange. 取得済み .
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- Control Systems > Control System Toolbox > Linear Analysis > Stability Analysis >
- MATLAB > Mathematics > Numerical Integration and Differential Equations >
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ヒントを得たファイル: Mathieu Equation (Parametric Oscillator)
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