{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,6,9]],"date-time":"2022-06-09T04:49:51Z","timestamp":1654750191895},"reference-count":20,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,8]]},"abstract":" Over the past eight years, we have studied one of the simplest, yet extremely interesting, dynamical systems; namely, the one-dimensional binary Cellular Automata. The most remarkable results have been presented in a series of papers which is concluded by the present article. The final stop of our odyssey is devoted to the analysis of the second half of the 30 Bernoulli \u03c3\u03c4<\/jats:sub>-shift rules, which constitute the largest among the six groups in which we classified the 256 local rules. For all these 15 rules, we present the basin-tree diagrams obtained by using each bit string with L \u2264 8 as initial state, a summary of the characteristics of their \u03c9-limit orbits, and the space-time patterns generated from the superstring. Also, in the last section we summarize the main results we obtained by means of our \"nonlinear dynamics perspective\". <\/jats:p>","DOI":"10.1142\/s0218127410027155","type":"journal-article","created":{"date-parts":[[2010,9,7]],"date-time":"2010-09-07T11:21:59Z","timestamp":1283858519000},"page":"2253-2425","source":"Crossref","is-referenced-by-count":5,"title":["A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART XIV: MORE BERNOULLI \u03c3\u03c4<\/sub>-SHIFT RULES"],"prefix":"10.1142","volume":"20","author":[{"given":"LEON O.","family":"CHUA","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA 94720, USA"}]},{"given":"GIOVANNI E.","family":"PAZIENZA","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Sciences, University of California at Berkeley, Berkeley, CA 94720, USA"},{"name":"Cellular Sensory and Wave Computing Laboratory, Computer and Automation Research Institute \u2013 MTA-SZTAKI and Pazmany University, Budapest, Hungary"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402006333"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403008041"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404011764"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405012995"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405014775"},{"key":"rf6","volume-title":"A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science","author":"Chua L. 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