Would you like guidance on how to plot the Bifurcation diagram of the van der Pol–Mathieu–Duffing oscillator against the excitation frequency Omega around principal parametric
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EQ1=diff(x(t), t, t)+(-alpha+beta*x(t)^2)*(diff(x(t), t))+(omega[0]^2-mu*cos(2*Omega*t))*(x(t)+lambda*x(t)^3) = 0;
with :
alpha = 0.1e-1;
beta = 0.5e-1;
mu = 0.2;
lambda = 0.1;
omega[0] = 1;
a bifurcation diagram (Fig) plotted based on the direct numerical simulation of EQ1. The solution is computed starting from various basins of attraction, and the transient response is neglected by the rejection of 200 periods.
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