The influence of a magnetic field on the effective conductivity of a system
with a chessboard structure is studied under conditions of the Hall effect
. It is shown that in this case a new physical effect occurs, involving an
oscillatory dependence of the charge density at the interfaces on passage t
hrough the bifurcation point. The system possesses considerable magnetoresi
stance. (C) 2000 MAIK "Nauka / Interperiodica".