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How do I create a bifurcation diagram fo...

DotCotton 5 Maple 2017
ode dynamics differential-equations
April 02 2018
1 1

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.

Bifurcation Procedure for the Rossler At...

DotCotton 5 Maple 2017
rossler bifurcation
March 23 2018
0 0

Hi, 

I'm currently studying the Rossler Attractor, which is the following system:

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).

I have found the points of equilibrium of the system.

But now I need to draw bifurcation diagrams: one for varying a, one for varying b, and one for varying c.

 

Can someone please help me with a procedure of how to do this?

Thanks in advance.

 

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