Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks
Umesh Kumar Verma, G. Ambika

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…
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Taxonomy
TopicsNeural dynamics and brain function · stochastic dynamics and bifurcation · Photoreceptor and optogenetics research
