Coupling parameter in synchronization of diluted neural networks

TL;DR

This paper investigates how the coupling parameter influences synchronization in diluted neural networks, revealing critical thresholds and decay behaviors through simulations, with implications for understanding neural network dynamics.

Contribution

It introduces a detailed analysis of the critical coupling parameters in diluted neural networks, including the effects of partial coupling and linking degrees, based on simulation results.

Findings

Exponential decay of critical coupling in globally coupled networks.

Existence of maximum and minimum critical coupling thresholds.

Critical coupling fraction varies with linking degree in partial coupling.

Abstract

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