On the effects of random forces in non uniformly distributed dynamical system

Abstract

Interaction of a dynamical system with stochastic source R(t) is studied using parabolic type equation on a circle of length 2L.Greens function for the system is constructed and it is shown that almost all the correlation functions F(xt) are infinitely differentiable.The problem of spectral density of a random force is investigated and it is shown that a single random force for the entire dynamical system is inadequate.