“…In particular, we develop two dynamic indicators from LRT: The Lyapunov and reversibility error. We then present a numerical analysis of: i) a 1D reflection map in a corrugated waveguide [3,4]; ii) a 2D reflection map in a convex billiard given by a deformed unit circle [5], via computation of the two dynamic indicators. We compare the phase portraits with the colour plots of the Lyapunov and reversibility errors [6] computed in a regular space grid in the ray dynamical phase space.…”