Adaptation controls synchrony and cluster states of coupled threshold-model neurons: Supplemental Material

TL;DR

This paper derives the transition conditions for variational equations that determine zero-lag and cluster synchrony in coupled threshold-model neurons, providing insights into how adaptation influences neural synchronization patterns.

Contribution

It introduces a novel derivation of transition conditions for variational equations governing neural synchrony and clustering in threshold-model neurons, highlighting the role of adaptation.

Findings

Derived transition conditions for zero-lag synchrony

Established criteria for cluster state stability

Enhanced understanding of adaptation's role in neural synchronization

Abstract

Derivation of the transition conditions for the variational equations for zero-lag and cluster synchrony.