Tinkerbell Map Attractor

A 2D discrete-time chaotic dynamical system.
The equations are:
x(n+1) = x(n)² - y(n)² + a*x(n) + b*y(n)
y(n+1) = 2*x(n)*y(n) + c*x(n) + d*y(n)
In this ASCII translation, thousands of iterations are accumulated on the grid. As the density increases, characters and colors cycle from dark green up to a bright yellow core, rendering the delicate fairy-like shape.