  In a recent paper by Cabrera et al (Chaos, Solitons and Fractals 2021 146
110876), a linearization of DRM differences equation, (Delayed Regulation
Model), has been proposed as a scheme to explain transfer of energy through
different scales in turbulence. They claim that this apparently simple model,
by replication of Kolmogorov power law of k ^ -5/3 scaling, remarks a key
mechanism of behaviour for more complex systems. Their proposal requires
computation of several products of random matrices, nevertheless they only
offer an onset of time evolution or an asymptotic approximation to all them.
Also it is suggested a fractal nature in the process of calculating the
successive characteristic polynomials of these products or the eigenvalues of
their associated self-adjoint matrices. Both questions are addressed in this
comment and are answered positively. A general formula for the evolution in
every step of mentioned stochastic linear approximation to DRM is found as well
a map from a binomial expansion of these matrices key products to a well
described fractal object.
