{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T01:52:08Z","timestamp":1780537928246,"version":"3.54.1"},"reference-count":39,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-19-1-0084"],"award-info":[{"award-number":["FA9550-19-1-0084"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2005343"],"award-info":[{"award-number":["DMS-2005343"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Math."],"published-print":{"date-parts":[[2023,8,31]]},"DOI":"10.1137\/22m1496979","type":"journal-article","created":{"date-parts":[[2023,8,4]],"date-time":"2023-08-04T13:59:48Z","timestamp":1691157588000},"page":"1623-1653","source":"Crossref","is-referenced-by-count":7,"title":["Unified Approach to Floquet Lattices, Topological Insulators, and Their Nonlinear Dynamics"],"prefix":"10.1137","volume":"83","author":[{"given":"Mark J.","family":"Ablowitz","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, University of Colorado, Boulder, CO 80301 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2206-6487","authenticated-orcid":true,"given":"Justin T.","family":"Cole","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Colorado, Colorado Springs, CO 80918 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3135-0375","authenticated-orcid":true,"given":"S. D.","family":"Nixon","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University of Colorado, Boulder, CO 80301 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,8,4]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511998324"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.96.043868"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.033821"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.101.023811"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.90.023813"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1088\/2053-1583\/2\/2\/024003"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.79.053830"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.82.013840"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1021\/cr900070d"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.51.51"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/21M1392826"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1984.0023"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1142\/3812"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-2012-00745-0"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.74.1674"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1143\/JPSJ.74.1674"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s00023-018-0657-7"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.80.113102"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.61.2015"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.100.013904"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.45.494"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4916(85)90148-4"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.62.1201"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1002\/lpor.202000563"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1038\/nphoton.2014.248"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.58.8490"},{"key":"ref28","first-page":"307","volume":"39","author":"Marcelli G.","year":"2018","journal-title":"Rend. Mat. Appl."},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.91.015006"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.91.043625"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1038\/nature12066"},{"key":"ref32","first-page":"031005","volume":"3","author":"Rudner M. S.","year":"2013","journal-title":"Phys. Rev. X"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/21M1417363"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1364\/JOSA.68.001098"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.51.2167"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1088\/0953-4075\/43\/16\/163001"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.49.405"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.48.1559"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.100.013905"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1038\/nature08293"}],"container-title":["SIAM Journal on Applied Mathematics"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,8,31]],"date-time":"2023-08-31T18:16:29Z","timestamp":1693505789000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1496979"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,4]]},"references-count":39,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2023,8,31]]}},"alternative-id":["10.1137\/22M1496979"],"URL":"https:\/\/doi.org\/10.1137\/22m1496979","relation":{},"ISSN":["0036-1399","1095-712X"],"issn-type":[{"value":"0036-1399","type":"print"},{"value":"1095-712X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,4]]}}}