Question about the first point of the frequency response curve extension.
Numerical Bifurcation Analysis Toolbox in Matlab
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I want to plot the frequency response curve of a parametric vibrating beam, which, as is well known, consists of equilibrium points and limit cycle.I first used Floquet theory to locate the possible resonance peaks. Then, I plotted a time history using w=20. Ignoring the beginning of the time history, I plotted only the stable portion. Based on this stable limit cycle, I plotted the frequency response curve.However, the w value on the time history plot is 20, but the first point when plotting the frequency response curve might be at 59 or 40. In short, they are quite far apart, which prevents me from plotting the resonance peak. How can I ensure that the first point during the extension is near the desired point?
Frequently matcont starts far away from the initial guess. but usually continuation helps to reach the desired range. I guess this is related to the implemented algorithm for creating the first solution. and sometimes it occurs, when the parameter values are changed a little bit.