  There are two types $i=1,2$ of particles on the line $R$, with $N_{i}$
particles of type $i$. Each particle of type $i$ moves with constant velocity
$v_{i}$. Moreover, any particle of type $i=1,2$ jumps to any particle of type
$j=1,2$ with rates $N_{j}^{-1}\alpha_{ij}$. We discuss in details the initial
desynchronization of this particle system, namely, we are interested in
behaviour of the process when the total number of particles $N_1+N_2$ tends to
infinity, the ratio $N_1/N_2$ is constant and the time $t>0$ is fixed.
