  We develop algorithms built around properties of the transfer operator and
Koopman operator which 1) test for possible multiscale dynamics in a given
dynamical system, 2) estimate the magnitude of the time-scale separation, and
finally 3) distill the reduced slow dynamics on a suitably designed subspace.
By avoiding trajectory integration, the developed techniques are highly
computationally efficient. We corroborate our findings with numerical
simulations of a test problem.
