
Lyapunov
Steel Swallow
Lyapunov Fractal
A complex abstract fractal in deep navy and soft, luminous light blue. The central form flows like an organic wave or an ethereal wing curving across the frame, over a dark textured ground threaded with thin white grid lines. The logistic map x -> r x (1 - x), r cycling through A, B, B, A, B with the two rates on the axes of the frame. Each point takes the Lyapunov exponent of its own orbit, lambda = (1/N) sum ln |r (1 - 2x)|: negative is ordered, positive is chaotic and sinks to indigo.