A novel class of two-dimensional chaotic maps with infinitely many coexisting attractors
Zhang Li-Ping1, 2, Liu Yang3, Wei Zhou-Chao4, Jiang Hai-Bo2, †, Bi Qin-Sheng1
       

Basins of attraction of the map (5) in the region {(x,y)|x∈[–2.5, 2.5], y∈[–30, 30]}. Unbounded basin of attraction which is the set of initial points going into the region ({(x,y)||x|+|y|>100}) is shown in cyan, the coexisting chaotic attractors are shown in black dots. The basins of chaotic attractors are shown in red, light red, blue, light blue, green, light green, brown, magenta, and light megenta, respectively.