Effect of magnetic induction on the synchronizability of coupled neuron network

Master stability functions (MSFs) are significant tools to identify the synchronizability of nonlinear dynamical systems. For a network of coupled oscillators to be synchronized, the corresponding MSF should be negative. The study of MSF will normally be discussed considering the coupling factor as a control variable. In our study, we considered various neuron models with electromagnetic flux induction and investigated the MSF's zero-crossing points for various values of the flux coupling coefficient. Our numerical analysis has shown that in all the neuron models we considered, flux coupling has increased the synchronization of the coupled neuron by increasing the number of zero-crossing points of MSFs or by achieving a zero-crossing point for a lesser value of a coupling parameter.

Automated summary

Master stability functions are significant tools for identifying the synchronizability of nonlinear dynamical systems. By studying the MSF in a network of coupled oscillators, synchronization can be achieved, with magnetic flux coupling increasing synchronization of coupled neurons.