  We propose a new three-dimensional map that demonstrates the two- and
three-frequency quasi-periodicity. For this map all basic quasi-periodic
bifurcations are possible. The study was realized by using method of Lyapunov
charts completed by plots of Lyapunov exponents, phase portraits and
bifurcation trees illustrating the quasi-periodic bifurcations. The features of
the three-parameter structure associated with quasi-periodic Hopf bifurcation
are discussed. The comparison with non-autonomous model is carried out.
