  Self-consistent system of spinor, scalar and BI gravitational fields is
considered. Exact solutions to the field equations in terms of volume scale of
the BI metric are obtained. Einstein field equations in account of the
cosmological constant $\Lambda$ and perfect fluid are studied. Oscillatory mode
of expansion of the universe is obtained. It is shown that for the interaction
term being a power function of the invariants of bilinear spinor forms and
$\Lambda > 0$ and given other parameters, e.g., coupling constant, spinor mass
etc., there exists a finite range of integration constant which generates
oscillatory mode of evolution.
