  This study evaluates data-driven models from a dynamical system perspective,
such as unstable fixed points, periodic orbits, chaotic saddle, Lyapunov
exponents, manifold structures, and statistical values. We find that these
dynamical characteristics can be reconstructed much more precisely by a
data-driven model than by computing directly from training data. With this
idea, we predict the laminar lasting time distribution of a particular
macroscopic variable of chaotic fluid flow, which cannot be calculated from a
direct numerical simulation of the Navier-Stokes equation because of its high
computational cost.
