Simone attractor

Written by Paul Bourke
February 2024
Inspired by Simone Conradi



a = 3.69, b = 4.51


The images here are visualisations of the behaviour of the series below for different initial values (x0,y0) on the plane.

Given the sine and cosine terms, the result is bounded by -1 to 1 in both x and y.



a = 5.51, b = 4.84



a = 3.64, b = 1.71



a = 5.46, b = 4.55



a = 0.47, b = 2.25



a = 0.29, b = 0.95



a = 2.59, b = 2.49



a = 0.54, b = 1.23



a = 0.4, b = 5.11



a = 2.31, b = 1.64



a = 0.29, b = 4



a = 5.9, b = 5.64



a = 3.61, b = 4.24



a = 2.7, b = 2.32



a = 2.55, b = 0.93