Stability Chart 1.0
File ID: 85385
Stability Chart 1.0 Description
Description: To plot the stability chart or Ince strut diagram of Mathieu Equation
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.
Related: average, determinants, perturbation, methods, System, parameters, floquet, theory, infinite, method
O/S:BSD, Linux, Solaris, Mac OS X
File Size: 266.2 KB
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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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