Coupling parameter in synchronization of diluted neural networks

We study the critical features of a coupling parameter in the synchronization of neural networks with diluted synapses. Based on simulations, an exponential decay form is observed in the extreme case of global coupling among subsystems and full connection in each network: there exists a maximum and a minimum of the critical coupling intensity for synchronization in this spatially extended system. For partial coupling, we present the primary result about the critical coupling fraction for various linking degrees of the networks.