How do I create a bifurcation diagram for a system of ODEs?

Question:How do I create a bifurcation diagram for a system of ODEs?

Posted: DotCotton 5 Product: Maple 2017

April 02 2018

Hi, I'm currently studying the dynamics of a system of ODEs and I would like to plot a bifurcation diagram using Maple.

The system is:

diff(x(t), t) = -y(t)-z(t)

diff(y(t), t) = x(t)+a*y(t)

diff(z(t), t) = b+x(t)*z(t)-c*z(t) .

Can anyone help me with a procedure to output a bifurcation diagram for the system?
Thanks.

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