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 $f=0.1$. $$ x^\prime = (z-b)x-dy $$ $$ y^\prime = dx+(z-b)y$$ $$ z^\prime = c+az-\frac{z^3}{3}-(x^2+y^2)(1+ez)+fzx^3 $$

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.