Abstract
An integration of a deterministic Langevin type equation, driven by a chaotic force, is discussed: ẋ(t)=x(t)−x(t)2+x(t)fc(t). The chaotic force fc(t) defined by fc(t)=(K/τ)ŷk(y0) for kτ<t⩽(k+1)τ, (k=0,1,2,…), where yk is a chaotic sequence of a map F(yk):yk+1=F(yk). The deviation ŷk is yk−〈y0〉, where 〈…〉 means the average over the invariant density ρ(y0) of F(y). In the small τ 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/τ of the chaotic force fc(t).
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