Here we propose mechanisms for controlling the movement and suppression of
spiral waves in discrete excitable media. We show that the controlled drift
and subsequent annihilation of a spiral wave can be achieved through the c
ombination of two factors: the introduction of small spatial inhomogeneitie
s in the medium and the interaction of the wave with the boundaries of the
medium. The inhomogeneities can be introduced in the spatial distribution o
f the relaxation parameters or in the coupling coefficient of the slow vari
ables of the partial cells making up the medium. [S1063-651X(98)00912-X].