I am interested in constructing a bifurcation diagram for parameter a in the dynamical system given in the code below. I want to see how parameter changes affect the stability of the system. The answer in
Bifurcation diagrams for multiple equation systems
does not apply for Mathematica 8. The following code include the system of differential equations:
Derivative[1][x][t] == -10^12 x[t] - y[t],
Derivative[1][y][t] == x[t] - 10^12 y[t] + a z[t],
Derivative[1][z][t] == -a y[t],
x[0] == y[0] == 0, z[0] == 1
Thanks
a
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