The Synchronization and Associative Memory of Spiking Neuronal Networks with Randomly Distributed Time Delays

Synchronization and associative memory in spike neural network composed of the widely discussed Hodgkin-Huxley neurons is investigated in this paper. Based on the reality of the microscopic biological structure in the neural system, the couplings among those neurons are accompanied with randomly distributed time delays which models the times needed for pulses propagating on the axons from the presynaptic neurons to the postsynaptic neurons. The memory is represented in the spatiotemporal firing pattern of the neurons, and the memory retrieval is accomplished with the fluctuations of the noise in the system.