{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,4]],"date-time":"2025-06-04T10:46:57Z","timestamp":1749034017555,"version":"3.37.3"},"reference-count":3,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"crossref","award":["426602"],"award-info":[{"award-number":["426602"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,2]]},"abstract":"<jats:p> Lorenz-like maps arise in models of neuron activity, among other places. Motivated by questions about the pattern of neuron firing in such a model, we study periodic orbits and their itineraries for Lorenz-like maps with nondegenerate rotation intervals. We characterize such orbits for the simplest such case and gain substantial information about the general case. <\/jats:p>","DOI":"10.1142\/s0218127418500219","type":"journal-article","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T05:16:50Z","timestamp":1521695810000},"page":"1850021","source":"Crossref","is-referenced-by-count":4,"title":["Farey\u2013Lorenz Permutations for Interval Maps"],"prefix":"10.1142","volume":"28","author":[{"given":"William","family":"Geller","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford Street, Indianapolis, IN 46202, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2932-8686","authenticated-orcid":false,"given":"Micha\u0142","family":"Misiurewicz","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford Street, Indianapolis, IN 46202, USA"}]}],"member":"219","published-online":{"date-parts":[[2018,3,22]]},"reference":[{"doi-asserted-by":"publisher","key":"S0218127418500219BIB001","DOI":"10.5802\/aif.1195"},{"doi-asserted-by":"publisher","key":"S0218127418500219BIB002","DOI":"10.1112\/jlms\/s2-34.2.360"},{"doi-asserted-by":"publisher","key":"S0218127418500219BIB003","DOI":"10.3934\/dcdsb.2017205"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127418500219","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:49:34Z","timestamp":1565138974000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127418500219"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2]]},"references-count":3,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2018,3,22]]},"published-print":{"date-parts":[[2018,2]]}},"alternative-id":["10.1142\/S0218127418500219"],"URL":"https:\/\/doi.org\/10.1142\/s0218127418500219","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2018,2]]}}}