  Recurrence determinism, one of the fundamental characteristics of recurrence
quantification analysis, measures predictability of a trajectory of a dynamical
system. It is tightly connected with the conditional probability that, given a
recurrence, following states of the trajectory will be recurrences.
  In this paper we study recurrence determinism of interval dynamical systems.
We show that recurrence determinism distinguishes three main types of
$\omega$-limit sets of zero entropy maps: finite, solenoidal without
non-separable points, and solenoidal with non-separable points. As a corollary
we obtain characterizations of strongly non-chaotic and Li-Yorke (non-)chaotic
interval maps via recurrence determinism. For strongly non-chaotic maps,
recurrence determinism is always equal to one. Li-Yorke non-chaotic interval
maps are those for which recurrence determinism is always positive. Finally,
Li-Yorke chaos implies the existence of a Cantor set of points with zero
determinism.
