2015/07/28 by Victor Hernandez-Urbina, T L Underwood, Tom L. Underwood +4
Decision Sciences · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Complex Systems and Decision Making #FOS: Physical sciences #Physics and Society (physics.soc-ph) #nlin.AO #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.1507.07884
arxiv created 2015/07/28 · openalex publication_date 2015/07/28 · arxiv updated 2015/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In spiking neural networks an action potential could in principle trigger subsequent spikes in the neighbourhood of the initial neuron. A successful spike is that which trigger subsequent spikes giving rise to cascading behaviour within the system. In this study we introduce a metric to assess the success of spikes emitted by integrate-and-fire neurons arranged in complex topologies and whose collective behaviour is undergoing a phase transition that is identified by neuronal avalanches that become clusters of activation whose distribution of sizes can be approximated by a power-law. In numerical simulations we report that scale-free networks with the small-world property is the structure in which neurons possess more successful spikes. As well, we conclude both analytically and in numerical simulations that fully-connected networks are structures in which neurons perform worse. Additionally, we study how the small-world property affects spiking behaviour and its success in scale-free networks.