Question: How can I drawing an attractor and bifurcation diagram with maple

Hi!

I have a system of equations like this:

equation

and I wrote this equations into maple in this way:

eqns := [diff(x(t), t) = -x(t)-y(t), diff(y(t), t) = x(t)+.25*y(t)+r(t), diff(z(t), t) = 3+x(t)*z(t), diff(r(t), t) = .5*z(t)+0.5e-1*r]

using DEplot3d I tried to drawing attractor diagram:

DEplot3d(eqns, {r(t), x(t), y(t), z(t)}, t = 0 .. 300, [[x(0) = 0, y(0) = 0, z(0) = 0, r(0) = 0]], x = -20 .. 15, y = -20 .. 15, z = -20 .. 25, r = -20 .. 25, stepsize = 0.5e-1, linecolour = 1+(1/2)*sin((1/3)*t*Pi), thickness = 1, orientation = [-110, 71], scene = [x(t), y(t), z(t)])

attractor diagram

but I have very strange attractor and I don't know, what am I doing wrong, I have similiar situation with bifurcation diagram. Please help me...

 

And sorry for my English

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