2.28 Rossler Attractors
(type=rossler3D)
This fractal is named after the German Otto Rossler, a non-practicing
medical doctor who approached chaos with a bemusedly philosophical
attitude. He would see strange attractors as philosophical objects. His
fractal namesake looks like a band of ribbon with a fold in it. All we
can say is we used the same calculus-teacher-defeating trick of
multiplying the equations by "dt" to solve the differential equation and
generate the orbit. This time we will skip straight to the orbit
generator - if you followed what we did above with type Lorenz (p. 61)
you can easily reverse engineer the differential equations.
xnew = x - y*dt - z*dt
ynew = y + x*dt + a*y*dt
znew = z + b*dt + x*z*dt - c*z*dt
Default parameters are dt = .04, a = .2, b = .2, c = 5.7