Hopalong Attractor

The Hopalong attractor is a 2-dimensional attractor produced by the following equation:

xn+1 =yn -|bxn-c|sgn(xn) yn+1 = a-xn

Even small parameter changes produce very different images. Continuously varying parameters over a range of values does not produce smooth changes like with most other attractors.

Hopalong attractor
Hopalong surveySurvey of the Hopalong Attractor

Selected Hopalong Images