Complete synchronization in coupled Type-I neurons

TL;DR

This paper investigates noise-induced complete synchronization in coupled Type-I neurons, revealing how stochastic inputs and coupling influence synchronization, with potential applications in artificial neural devices.

Contribution

It introduces a novel analysis of noise-induced synchronization in Type-I neurons, including non-identical and randomly coupled ensembles, with explicit functional dependence on coupling and noise.

Findings

Synchronization error depends on coupling and noise strengths.

Complete synchronization can occur between non-identical neurons.

Noise can induce synchronization in large neuronal ensembles.

Abstract

For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we point out that the rate of change of instantaneous frequency with the instantaneous phase of the stochastic inputs to each neuron matches exactly with that for the other in the event of CS of their outputs. Our observation can be exploited in practical situations to produce completely synchronized outputs in artificial devices. For excitatory-excitatory synaptic coupling, a functional dependence for the synchronization error on coupling and noise strengths is obtained. Finally we report an observation of noise-induced CS between non-identical neurons coupled bidirectionally through random non-zero couplings in an all-to- all way in a large neuronal ensemble.