Wada boundaries on a hyperbolic pair of pants

In this paper, the geodesics of an open multiply connected hyperbolic manifold are presented from dynamical system point view. The approach is completely numerical. Similar to closed case there a zero-measure set periodic orbits. difference that now, most escape infinity through one topologically distinct channels, and initial conditions identified which channel orbit escapes. condition mesh reveals basins attraction each channel. We verified basin boundary points Wada type by two independent methods. have also calculated entropy it depends on opening angle channels. chosen pair pants together with leaves, so 3 exit