  We investigate cosmological dynamics of multiple tachyon fields with inverse
square potentials. A phase-space analysis of the spatially flat FRW models
shows that there exists power-law cosmological scaling solutions. We study the
stability of the solutions and find that the potential-kinetic-scaling solution
is a global attractor. However, in the presence of a barotropic fluid the
solution is an attractor only in one region of the parameter space and the
tracking solution is an attractor in the other region. We briefly discuss the
physical consequences of these results.
