We investigate the synchronization phenomena in a network of neuronal oscillators with finite storage capacity. The effective Hamiltonian describing the stationary state of the system is analyzed via the replica method, to yield a phase diagram in the three-dimensional parameter space. The system is found to display a variety of behaviors including first-order and second-order transitions as well as re-entrance.

• Received 24 March 1995

DOI:https://doi.org/10.1103/PhysRevE.52.2907