Discrete map · 2D · dim 2

Tinkerbell map

A 4-parameter discrete dynamical system whose attractor is dragon-like and notoriously sensitive to parameters.

Tinkerbell attractor at (a, b, c, d) = (0.9, −0.6013, 2, 0.5).

Equations

x_{n+1} = x_n² − y_n² + a x_n + b y_n
y_{n+1} = 2 x_n y_n + c x_n + d y_n

Parameters	a = 0.9, b = −0.6013, c = 2, d = 0.5 (classic)
Chaotic for	depends on parameters; classical values are chaotic
History	Introduced as a study object in nonlinear dynamics in the 1980s.

Open the interactive playground at /tools/tinkerbell.