{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T21:56:58Z","timestamp":1765231018766,"version":"3.40.4"},"reference-count":15,"publisher":"World Scientific Pub Co Pte Ltd","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,9]]},"abstract":"<jats:p>We study elementary cellular automata with memory. The memory is a weighted function averaged over cell states in a time interval, with a varying factor which determines how strongly a cell's previous states contribute to the cell's present state. We classify selected cell-state transition functions based on Lempel\u2013Ziv compressibility of space-time automaton configurations generated by these functions and the spectral analysis of their transitory behavior. We focus on rules 18, 22, and 54 because they exhibit the most intriguing behavior, including computational universality. We show that a complex behavior is observed near the nonmonotonous transition to null behavior (rules 18 and 54) or during the monotonic transition from chaotic to periodic behavior (rule 22).<\/jats:p>","DOI":"10.1142\/s0218127414501168","type":"journal-article","created":{"date-parts":[[2014,10,3]],"date-time":"2014-10-03T08:25:41Z","timestamp":1412324741000},"page":"1450116","source":"Crossref","is-referenced-by-count":7,"title":["Phase Transition in Elementary Cellular Automata with Memory"],"prefix":"10.1142","volume":"24","author":[{"given":"Shigeru","family":"Ninagawa","sequence":"first","affiliation":[{"name":"Department of Information and Computer Science, Kanazawa Institute of Technology, Hakusan 924-0838, Japan"},{"name":"Unconventional Computing Centre, University of the West of England, Bristol, BS16 1QU, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrew","family":"Adamatzky","sequence":"additional","affiliation":[{"name":"Unconventional Computing Centre, University of the West of England, Bristol, BS16 1QU, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ram\u00f3n","family":"Alonso-Sanz","sequence":"additional","affiliation":[{"name":"Universidad Politecnica de Madrid (Estadistica, GSC), Madrid 28040, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,10,3]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/8119"},{"key":"rf2","unstructured":"R.\u00a0Alonso-Sanz, Lecture Notes in Computer Science\u00a08155, eds. 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