We compute the characteristic functional of a nonlinear transformation of a set of random variables. The equation is applied to the study of fractal stochastic processes with multiplicative noise. For illustration we investigate two types of chemical systems subjected to environmental...

We study the influence of multiplicative random external perturbation on the Selkov model exhibiting limit cycles. The dynamics are described by stochastic differential equations. The numerically computed ensemble averages of the concentrations exhibit temporal localization of the limit cycles...

The simulation of elementary gas-phase reactions in a concentrated bath may be accomplished by a Markoff-chain model. The concept of the state of secular equilibrium, a necessary condition for the existence of rate coefficients local in time, demands that the Markoffian process be modelled using...

The aim of this talk was to review recent progress in theoretical modeling of pattern formation during catalytic chemical reactions on metal surfaces. The attention was focused on two kinds of nonlinear phenomena at different characteristic length scales. The reaction-diffusion models well...

When comparing the predictions of Bohm's theory for quantum ensembles of one-particle systems corresponding to a pure state, with ‘conventional’ quantum mechanics, two possibilities have been considered in the past: quantum equilibrium (ρ(r)=N|ψ(r)|2, where ρ is the hidden particle...