Synchronization in a network of map-based neurons with memristive synapse

The synchronization of coupled neurons has been an important field of study in neuroscience. In this paper, the synchronization in coupled map-based neurons is studied. It is assumed that the neurons are coupled via a memristor. Firstly, the case of two-coupled neurons is investigated, and then two neurons are used as the units of a ring network. It is shown that the memristive coupling coefficient and the initial condition of the flux variable affect the synchronization of two neurons. By increasing the memristive coupling coefficient, multiple synchronous and asynchronous regions are observed. In the ring network, two neurons in each unit can become synchronous, but the whole network does not reach complete synchronization.

Automated summary

This paper investigates the synchronization of coupled map-based neurons, assuming that the neurons are coupled through a memristor. The study focuses on the case of two-coupled neurons and extends the analysis to a ring network. The results demonstrate that the memristive coupling coefficient and the initial condition of the flux variable have an impact on the synchronization of the neurons. Increasing the memristive coupling coefficient leads to the emergence of multiple synchronous and asynchronous regions. While two neurons in each unit of the ring network can become synchronous, the entire network does not achieve complete synchronization.