  The purpose of this paper is to derive a critical link of parameters for the
self-similar trajectories of jump-diffusions which are described as solutions
of stochastic differential equations driven by $\alpha$-stable noise. This is
done by a multivariate Lagrange interpolation approach. To this end, we utilise
computer simulation algorithm in MATLAB to visualise the trajectories of the
jump-diffusions for various combinations of parameters arising in the
stochastic differential equations.
