Transport phenomena in spatially periodic systems far from thermal equilibrium are
considered. The main emphasis is put on directed transport in so-called Brownian motors …

We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …

We propose a stochastic model for a memristive system by generalizing known approaches
and experimental results. We validate our theoretical model by experiments carried out on a …

The effective diffusion coefficient for the overdamped Brownian motion in a tilted periodic
potential is calculated in closed analytical form. Universality classes and scaling properties …

An exact analytical expression for the effective diffusion coefficient of an overdamped
Brownian particle in a tilted periodic potential is derived for arbitrary potentials and arbitrary …

The diffusion of small particles is omnipresent in many processes occurring in nature. As
such, it is widely studied and exerted in almost all branches of sciences. It constitutes such a …

We consider a model of a stepping molecular motor consisting of two connected heads.
Directional motion of the stepper takes place along a one-dimensional track. Each head is …

We explore the properties of run-and-tumble particles moving in a piecewise-linear “ratchet”
potential by deriving analytic results for the system's steady-state probability density, current …