An attracting set that has zero measure in the embedding phase space and has fractal dimension. Trajectories within a strange attractor appear to skip around randomly. A selection of strange attractors for a general quadratic map x_(n + 1) | = | a_1 + a_2 x_n + a_3 x_n^2 + a_4 x_n y_n + a_5 y_n + a_6 y_n^2 y_(n + 1) | = | a_7 + a_8 x_n + a_9 x_n^2 + a_10 x_n y_n + a_11 y_n + a_12 y_n^2 are illustrated above, where the letters A to Y stand for coefficients of the quadratic from -1.2 to 1.2 in steps of 0.1 (Sprott 1993c). These represent a small selection of the approximately 1.6% of all possible 25^12≈6×10^16 such maps that are chaotic (Sprott 1993bc).

basin of attraction | correlation exponent | fractal | gingerbreadman map | Hénon-Heiles equation | Hénon map | Lorenz attractor | Lozi map | phase space | Rössler attractor | standard map | Wada basin