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In a chaotic system, a point never settles down and never exactly repeats itself, but it doesn't simply wander off either. Instead, its path remains confined to a strange and often fractal-like shape, what's called a strange attractor. The coefficients in the equations on the images matter a lot here. As the parameters change, the system can shift between simple, periodic behavior and intricate chaotic patterns. Most choices produce nothing especially remarkable; the images here are a few examples from that enormous space of possibilities that caught my eye.

Strange attractor Nº 05
Strange attractor Nº 05 Quadratic delay map (J. C. Sprott)
Strange attractor Nº 04
Strange attractor Nº 04 Quadratic delay map (J. C. Sprott)
Strange attractor Nº 03
Strange attractor Nº 03 Quadratic delay map (J. C. Sprott)
De Jong attractor Nº 01
De Jong attractor Nº 01 Planar iterated map (P. de Jong)
Strange attractor Nº 02
Strange attractor Nº 02 Quadratic delay map (J. C. Sprott)

All images © Aditya Pratapa.