Abstract
In this paper we present a lattice dynamical system stated by Kaneko in (Phys Rev Lett, 65: 1391-1394, 1990) which is related to the Belusov-Zhabotinskii chemical reaction. We prove that this CML (Coupled Map Lattice) system is chaotic in the sense of Li-Yorke and in the sense of Devaney for zero coupling constant. Some problems on the dynamics of this system are stated for the case of having non-zero coupling constant.