We study the noise-induced synchronization in a system of particles moving in Fahy--Hamann potential [S. Fahy, D.R. Hamann, {Phys. Rev. Lett.} 69, 761 (1992)] and subjected to generalized Langevin forces. We investigate the synchronization dependence on system's parameters and on memory range. The results show that while in general memory acts against synchronization, for intermediate memory ranges the opposite effect can be observed. Generally the synchronization transition is found to depend on memory range, temperature and dissipation in the system.

PACS numbers: 05.45.Xt, 05.45.Jn