Simone attractor

a = 3.69, b = 4.51

The images here are visualisations of the behaviour of the series below for different initial values (x₀,y₀) on the plane.

Given the sine and cosine terms, the result is bounded by -1 to 1 in both x and y.

a = 5.51, b = 4.84

a = 3.64, b = 1.71

a = 5.46, b = 4.55

a = 0.47, b = 2.25

a = 0.29, b = 0.95

a = 2.59, b = 2.49

a = 0.54, b = 1.23

a = 0.4, b = 5.11

a = 2.31, b = 1.64

a = 0.29, b = 4

a = 5.9, b = 5.64

a = 3.61, b = 4.24

a = 2.7, b = 2.32

a = 2.55, b = 0.93