  A rich variety of non-equilibrium dynamical phenomena and processes
unambiguously calls for the development of general numerical techniques to
probe and estimate a complex interplay between spatial and temporal degrees of
freedom in many-body systems of completely different nature. In this work we
provide a solution to this problem by adopting a structural complexity measure
to quantify spatio-temporal patterns in the time-dependent digital
representation of a system. On the basis of very limited amount of data our
approach allows to distinguish different dynamical regimes and define critical
parameters in both classical and quantum systems. By the example of the
discrete time crystal realized in non-equilibrium quantum systems we provide a
complete low-level characterization of this nontrivial dynamical phase with
only processing bitstrings, which can be considered as a valuable alternative
to previous studies based on the calculations of qubit correlation functions.
