Fig. 6.

Iterates for a weakly hyperbolic limit cycle. First 100 iterates of sequences $K({\theta }_n,{\sigma }_n)$ computed using the three different methods. Parameter values are taken to be $\alpha =0.1$, $a=10$, $ϵ=0.022$ and $T_s=0.0628319\approx T_0/50$