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arXiv · 1812.08857

Pattern phase diagram of spiking neurons on spatial networks

Dionysios Georgiadis·Didier Sornette
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Abstract

We study an abstracted model of neuronal activity via numerical simulation, and report spatiotemporal pattern formation and critical like dynamics. A population of pulse coupled, discretised, relaxation oscillators is simulated over networks with varying edge density and spatial embedded ness. For intermediate edge density and sufficiently strong spatial embeddedness, we observe a novel spatiotemporal pattern in the field of oscillator phases, visually resembling the surface of a frothing liquid. Increasing the edge density results in critical dynamics, with the distribution of neuronal avalanche sizes following a power law with exponent one. Further increase of the edge density results in metastable behaviour between pattern formation and synchronisation, before transitioning the system entirely into synchrony.

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Dionysios Georgiadis, Didier Sornette. 2018-12-05. Pattern phase diagram of spiking neurons on spatial networks. https://doi.org/10.1103/physreve.99.042410

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