Integral Curves

This program is a test of a numerical integrator I wrote, currently showing the result of integrating multiple initial conditions of the aizawa attractor.

Aizawa

The aizawa attractor arises from the following dynamical system with parameters $a=0.95$, $b=0.7$, $c=0.6$, $d=3.5$, $e=0.25$ and $f=0.1$. $$x^{\prime }=(z-b)x-dy$$ $$y^{\prime }=dx+(z-b)y$$ $$z^{\prime }=c+az-\frac{z^3}{3}-(x^2+y^2)(1+ez)+fz{x}^3$$

Most of the integrated initial conditions show just short tracks, but one of them will draw a long trail, making visible the overall shape of the attractor if yoy wait.