TINKERBELL_MAP

DATA_LOG: TINKERBELL_MAP

The Tinkerbell map is a two-dimensional discrete-time chaotic recurrence. Each step squares and cross-multiplies the current coordinates, then adds four linear parameters — a, b, c, and d — that shape the resulting figure. Because the map contains quadratic terms (unlike the sine-and-cosine Clifford attractor, which is forever bounded), its orbit can escape to infinity for many parameter sets; the visualization guards against runaway coordinates and only renders the bounded attractor. Near chaotic parameter values the orbit traces a dense, delicate strange attractor, and small parameter changes transform the structure entirely.