  In this paper we consider the dynamic Tsallis entropy and employ it for four
model systems: (i) the motion of Brownian oscillator, (ii) the motion of
Brownian oscillator with noise, (iii) the fluctuation of particle density in
hydrodynamics limit as well as in (iv) ideal gas. We show that the small value
of parameter nonextensivity $0<q<1$ works as non-linear magnifier for small
values of the entropy. The frequency spectra become more sharp and it is
possible to extract useful information in the case of noise. We show that the
ideal gas remains non-Markovian for arbitrary values of $q$.
