Figure 6

Sensitive dependence on the initial conditions for system ( 3 ). (a) The two trajectories for x-coordinate, plotted against number of iterations, red for \((x_{0}, y_{0})\); blue for \((x_{0}+0.001, y_{0})\). (b) The two trajectories for y-coordinate, plotted against number of iterations, red for \((x_{0}, y_{0})\); blue for \((x_{0}, y_{0}+0.001)\). The parameter values are \(r = 5.5\), \(K = 0.771525\), \(d = 0.3\), \(\alpha= 1.65\), \(\beta= 1.3\), \(\delta= 1.565\). The initial value is \((x_{0}, y_{0}) = (0.227, 4.585)\).