Figure 4

(a) Bifurcation diagram of map (2) in \((\mu ,y) \) space for \(\rho _{1}=1.2\), \(\rho _{2}=1.8\), the initial point is \((0.82795095,0.47312708)\). (b) Local amplification for \(\mu \in [3.321398,3.3214] \) (c) MLE corresponding to (a). (d) Bifurcation diagram of map (2) in \((\mu ,x) \) space for \(\rho _{1}=1.5\), \(\rho _{2}=1.8 \) the initial point is \((0.82,0.47)\). (e) Bifurcation diagram of map (2) in \((\mu ,\rho _{1},x) \) space for \(\rho _{2}=1.8 \). (f) MLE corresponding to (e)