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
       

Phase portraits of coexisting (a) period-2 and (b) period-6 solutions of the map (1) calculated at (a, b, c) = (2.35, 1, 0.1) and (a, b, c) = (2.625, 1, 0.1)} in the region {(x,y)|x∈[–2, 2], y∈[–30, 30]}. Period-2 solutions of the map (21) were obtained for x(0) = 1 and (i) y(0) = –27, (ii) y(0) = –20, (iii) y(0) = –14, (iv) y(0) = –8, (v) y(0) = –1, (vi) y(0) = 5, (vii) y(0) = 10, (viii) y(0) = 17, (ix) y(0) = 24. Period-6 solutions of the map (1) were obtained for x(0) = 1 and (i) y(0) = –26, (ii) y(0) = –20, (iii) y(0) = –14, (iv) y(0) = –7, (v) y(0) = –1, (vi) y(0) = 5, (vii) y(0) = 12, (viii) y(0) = 18, (ix) y(0) = 24.