{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T01:42:33Z","timestamp":1771378953606,"version":"3.50.1"},"reference-count":53,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2017,8,2]],"date-time":"2017-08-02T00:00:00Z","timestamp":1501632000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Networks of stochastic spiking neurons are interesting models in the area of theoretical neuroscience, presenting both continuous and discontinuous phase transitions. Here, we study fully-connected networks analytically, numerically and by computational simulations. The neurons have dynamic gains that enable the network to converge to a stationary slightly supercritical state (self-organized supercriticality (SOSC)) in the presence of the continuous transition. We show that SOSC, which presents power laws for neuronal avalanches plus some large events, is robust as a function of the main parameter of the neuronal gain dynamics. We discuss the possible applications of the idea of SOSC to biological phenomena like epilepsy and Dragon-king avalanches. We also find that neuronal gains can produce collective oscillations that coexist with neuronal avalanches.<\/jats:p>","DOI":"10.3390\/e19080399","type":"journal-article","created":{"date-parts":[[2017,8,2]],"date-time":"2017-08-02T10:05:25Z","timestamp":1501668325000},"page":"399","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":35,"title":["Self-Organized Supercriticality and Oscillations in Networks of Stochastic Spiking Neurons"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0963-2966","authenticated-orcid":false,"given":"Ariadne","family":"Costa","sequence":"first","affiliation":[{"name":"Department of Psychological and Brain Sciences, Indiana University, Bloomington, IN 47405, USA"},{"name":"Instituto de Computa\u00e7\u00e3o, Universidade de Campinas, Campinas-SP 13083-852, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ludmila","family":"Brochini","sequence":"additional","affiliation":[{"name":"Departamento de Estat\u00edstica, Instituto de Matem\u00e1tica e Estat\u00edstica (IME), Universidade de S\u00e3o Paulo, S\u00e3o Paulo-SP 05508-090, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Osame","family":"Kinouchi","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Faculdade de Filosofia, Ci\u00eancias e Letras de Ribeir\u00e3o Preto (FFCLRP), Universidade de S\u00e3o Paulo, Ribeir\u00e3o Preto-SP 14040-901, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,8,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1222","DOI":"10.1103\/PhysRevLett.75.1222","article-title":"Earthquake cycles and neural reverberations: Collective oscillations in systems with pulse-coupled threshold elements","volume":"75","author":"Herz","year":"1995","journal-title":"Phys. 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