Route to Chaos
The Shinriki Oscillator shows up very different behaviour, depending on parameters. Starting a stable fix-point we watch a period doubling cascade, arriving at a strange attractor. Intermediate stable period 3 and period 5 orbits (and more) show up, finally arriving in a double-D strange attractor. As seen in the fig-tree representation, we find stable orbits also inside "chaotic parameter ranges" (e.g.of R2).
Fig Tree
Figtree
Colors represent probability distribution of state variable x1, as function of R1 (R2=200). (Image created from measured data!)
Animation: R1 varies with time (R2=200)
Measured strange attractor R1=300
Click image to see attractor for different values of R1
Full Phase Space Orbits for various R1
