Example 5. Solve
the Rössler attractor I. V. P.
with
,
with
,
with
.
Solution 5.
Enter the vector function
.
Compute the Runge-Kutta solution. Since this curve is known to twist a lot in 3D space, it will require about 1000 subintervals to get good resolution.
![[Graphics:../Images/LorenzAttractorMod_gr_258.gif]](../Images/LorenzAttractorMod_gr_258.gif)
We can plot the projections on the coordinate planes.
![[Graphics:../Images/LorenzAttractorMod_gr_266.gif]](../Images/LorenzAttractorMod_gr_266.gif)
![[Graphics:../Images/LorenzAttractorMod_gr_270.gif]](../Images/LorenzAttractorMod_gr_270.gif)
![[Graphics:../Images/LorenzAttractorMod_gr_274.gif]](../Images/LorenzAttractorMod_gr_274.gif)
![[Graphics:../Images/LorenzAttractorMod_gr_278.gif]](../Images/LorenzAttractorMod_gr_278.gif)
![[Graphics:../Images/LorenzAttractorMod_gr_281.gif]](../Images/LorenzAttractorMod_gr_281.gif)
![[Graphics:../Images/LorenzAttractorMod_gr_284.gif]](../Images/LorenzAttractorMod_gr_284.gif)
We can plot the coordinate functions.
![[Graphics:../Images/LorenzAttractorMod_gr_287.gif]](../Images/LorenzAttractorMod_gr_287.gif)
![[Graphics:../Images/LorenzAttractorMod_gr_290.gif]](../Images/LorenzAttractorMod_gr_290.gif)
![[Graphics:../Images/LorenzAttractorMod_gr_293.gif]](../Images/LorenzAttractorMod_gr_293.gif)
![[Graphics:../Images/LorenzAttractorMod_gr_296.gif]](../Images/LorenzAttractorMod_gr_296.gif)
(c) John H. Mathews 2004