A novel class of two-dimensional chaotic maps with infinitely many coexisting attractors |
Bifurcation diagrams of x, and LEs of the map (21) calculated for (a), (b) a∈ [–2.7, –2.3] and (b, c) = (1, 0.1); (c), (d) b∈ [–2.7, –0.5] and (a, c) = (2.7, 0.1); (e), (f) b∈ [0.5, 2.7] and (a, c) = (2.7, 0.1); (g), (h) c∈ [–0.12, 0.12] and (a, b) = (2.7, 1). The initial values were all chosen as (1, –3). The largest Lyapunov exponent (Le1) and the smallest Lyapunov exponent (Le2) are shown by red and blue lines, respectively. |