Entropy is originally introduced to explain the inclination of intensity of heat, pressure, and
density to gradually disappear over time. Based on the concept of entropy, the Second Law …

The title of this book already says something about its contents and historical origin, but
since it is meant in a rigorous mathematical context, a few words of explanation may be …

The logistic differential equation is used to analyze cancer cell population, in the presence of
a correlated Gaussian white noise. We study the steady state properties of tumor cell growth …

Lake eutrophication ecosystems tend to exhibit bistable kinetics with two preferential
configurations of oligotrophic and eutrophic states, and perturbations in the environmental …

We give a detailed analysis of the Gibbs-type entropy notion and its dynamical behavior in
case of time-dependent continuous probability distributions of varied origins: related to …

We analyze the functioning of Gibbs-type entropy functionals in the time domain, with
emphasis on Shannon and Kullback-Leibler entropies of time-dependent continuous …

Various approaches have been developed for quantifying and displaying network traffic
information for determining network status and in detecting anomalies. Although many of …

In the present study, we have proposed the Fokker-Planck equation in a simple way for a
Langevin equation of motion having ordinary derivative (OD), the Gaussian random force …

Abstract Based on the Fokker-Planck and the entropy balance equations we have studied
the relaxation of a dissipative dynamical system driven by external Ornstein-Uhlenbeck …

We have shown how the intrinsic properties of a noise process can set an upper bound for
the time derivative of entropy in a nonequilibrium system. The interplay of dissipation and …