Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks

TL;DR

This paper investigates how complex spatio-temporal patterns emerge in multiplex neuronal networks with different coupling types, revealing pattern transfer and control mechanisms through coupling adjustments.

Contribution

It introduces a detailed analysis of pattern emergence and transfer in multiplex neuronal networks with mixed excitatory and inhibitory couplings, using the Hindmarsh-Rose model.

Findings

Emergence of synchronized oscillations and amplitude death in single-layer networks.

Transfer of patterns like in-phase and anti-phase oscillations between layers.

Control of patterns via tuning intra- and interlayer coupling strengths.

Abstract

We present a study on the emergence of a variety of spatio temporal patterns among neurons that are connected in a multiplex framework, with neurons on two layers with different functional couplings. With the Hindmarsh-Rose model for the dynamics of single neurons, we analyze the possible patterns of dynamics in each layer separately and report emergent patterns of activity like in-phase synchronized oscillations and amplitude death for excitatory coupling and anti-phase mixed-mode oscillations in multi-clusters with phase regularities when the connections are inhibitory. When they are multiplexed, with neurons of one layer coupled with excitatory synaptic coupling and neurons of the other layer coupled with inhibitory synaptic coupling, we observe transfer or selection of interesting patterns of collective behavior between the layers. While the revival of oscillations occurs in the layer with excitatory coupling, the transition from anti-phase to in-phase and vice versa is observed in the other layer with inhibitory synaptic coupling. We also discuss how theselection of these spatio temporal patterns can be controlled by tuning the intralayer or interlayer coupling strengths or increasing the range of non-local coupling. With one layer having electrical coupling while the other synaptic coupling of excitatory(inhibitory)type, we find in-phase(antiphase) synchronized patterns of activity among neurons in both layers.