  We discuss the effect of noise on a system with a quasi-periodicity of
different dimensions. As the basic model of our research we use the simplest
three-dimensional map with two-frequency and three-frequency quasi-periodicity.
Modification of the dynamical regimes at the influence of noise is considered
with the help of Lyapunov chart method. The transformation of Lyapunov
exponents plots characteristic for the quasi-periodic Hopf bifurcation of
3-torus birth at the presence of noise is examined.
