Relation between Langevin type equation driven by the chaotic force and stochastic differential equation

An integration of a deterministic Langevin type equation, driven by a chaotic force, is discussed: (x)over dot(t) = x(t) - x(t)(2) + x(t)f(c)(t). The chaotic force f(c)(t) defined by f(c)(t) (K/root tau)(y) over cap(k)(y(0)) for k tau < t less than or equal to (k + 1)tau, (k = 0, 1, 2, ...), where yk is a chaotic sequence of a map F(y(k)): (yk+1) = F(y(k)). The deviation (y) over cap(k), is y(k) - (y(0)), where (...) means the average over the invariant density rho(y(0)) of F(y). In the small r limit the result is compared with the result in the stochastic differential equation. The similar results as in the stochastic case are obtained due to the factor 1/root tau of the chaotic force f(c)(t).