{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T08:35:19Z","timestamp":1648888519405},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,4]]},"abstract":"<jats:p> It has been suggested that the properties of \"integration\" and \"differentiation\" are necessary for the emergence of consciousness. We present a dynamical system model that is based on these two conditions. The collection of neurons are partitioned into clusters on which we define a map that reflects the communication between clusters. Such a map displays the forward and backward circuitry between clusters in a probabilistic manner. The presence of \"re-entry\" guarantees that the map is sufficiently complex, that is, nonlinear and chaotic, to possess numerous invariant sets of clusters, which are referred to as agglomerations. We suggest that an agglomeration that is mixing characterizes a conscious state. The model establishes a theoretical framework that may structure and encourage experimental work. <\/jats:p>","DOI":"10.1142\/s0218127409023731","type":"journal-article","created":{"date-parts":[[2009,8,17]],"date-time":"2009-08-17T09:02:26Z","timestamp":1250499746000},"page":"1397-1400","source":"Crossref","is-referenced-by-count":6,"title":["AN ERGODIC THEORY OF CONSCIOUSNESS"],"prefix":"10.1142","volume":"19","author":[{"given":"ABRAHAM","family":"BOYARSKY","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, Quebec H3G 1M8, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"PAWE\u0141","family":"G\u00d3RA","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, Quebec H3G 1M8, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Nonnegative Matrices in the Mathematical Sciences","author":"Berman A.","year":"1979"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2024-4"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1997.5687"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2006.04.098"},{"key":"rf5","volume-title":"A Universe of Consciousness: How Matter Becomes Imagination","author":"Edelman G. M.","year":"2001"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1126\/science.282.5395.1846"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1186\/1471-2202-4-31"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1186\/1471-2202-5-42"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127409023731","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:02:46Z","timestamp":1565136166000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127409023731"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4]]},"references-count":8,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,4]]}},"alternative-id":["10.1142\/S0218127409023731"],"URL":"https:\/\/doi.org\/10.1142\/s0218127409023731","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4]]}}}