The model of a stochastic oscillator subject to additive random force, which includes the
Brownian motion, is widely used for analysis of different phenomena in physics, chemistry …

In general, chemical reactions proceeding on time scales comparable to, or shorter than,
those of internal rearrangements in a reaction system renewing the environment of the …

This work presents a conceptual framework as to how a deficit in the synovial-fluid content,
exemplified by hyaluronan or any other amphiphilic species, is capable of decisively altering …

We study stochastic resonance (SR) in a fractional harmonic oscillator with time delay and
mass fluctuation. Using a moment equation, we derive the exact analytical expression of the …

There have been increasing reports that the diffusion coefficient of macromolecules
depends on time and fluctuates randomly. Here a method is developed to elucidate this …

We focus on the dynamics of a Brownian particle whose mass fluctuates. First we show that
the behavior is similar to that of a Brownian particle moving in a fluctuating medium, as …

In addition to the case usually considered of a stochastic harmonic oscillator subject to an
external random force (Brownian motion in a parabolic potential) or to a random frequency …

We examine the stability conditions for the averaged moment of a harmonic oscillator having
a quadratic random mass. The joint action of asymmetric dichotomous noise and an …

The properties of the harmonic oscillator with random frequency or/and random damping
formed the content of the first edition. The second edition includes hundreds of publications …

The stochastic resonance (SR) of a second-order harmonic oscillator subject to mass
fluctuation and periodic modulated noise in viscous media is studied. The mass fluctuation …