{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T13:14:40Z","timestamp":1763644480254,"version":"3.30.1"},"reference-count":22,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/100014036","name":"Multidisciplinary University Research Initiative","doi-asserted-by":"publisher","award":["FA9550-32-1-0400"],"award-info":[{"award-number":["FA9550-32-1-0400"]}],"id":[{"id":"10.13039\/100014036","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["DMS-1645643"],"award-info":[{"award-number":["DMS-1645643"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Dyn. Syst."],"published-print":{"date-parts":[[2024,12,31]]},"DOI":"10.1137\/23m1603777","type":"journal-article","created":{"date-parts":[[2024,12,5]],"date-time":"2024-12-05T13:29:05Z","timestamp":1733405345000},"page":"2899-2938","source":"Crossref","is-referenced-by-count":2,"title":["A Study of the Long-Term Behavior of Hybrid Systems with Symmetries via Reduction and the Frobenius\u2013Perron Operator"],"prefix":"10.1137","volume":"23","author":[{"given":"Maria","family":"Oprea","sequence":"first","affiliation":[{"name":"Center for Applied Mathematics, Cornell University, Ithaca, NY 14850 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aden","family":"Shaw","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Rose-Hulman Institute of Technology, Terre Haute, IN 46032 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robi","family":"Huq","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Minnesota Twin Cities, Minneapolis, MN 55403 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kaito","family":"Iwasaki","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Michigan, Ann Arbor, MI 48109 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dora","family":"Kassabova","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Washington, Seattle, WA 98125 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"William","family":"Clark","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Ohio University, Athens, OH 45701 USA."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2024,12,4]]},"reference":[{"key":"ref1","volume-title":"Foundations of Mechanics","author":"Abraham R.","year":"1980"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1115\/1.1641775"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/0-8176-4404-0_5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1063\/1.4772195"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1134\/S1560354708040102"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-023-01844-1"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ifacol.2021.11.061"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2008.931718"},{"key":"ref17","volume-title":"Itroduction to Mechanics and Symmetry","author":"Jerrold E. M.","year":"1998"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1142\/S021812749400126X"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511809187"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1080\/14689360110090424"},{"key":"ref21","series-title":"Appl. Math. Sci. 97","volume-title":"Chaos, Fractals, and Noise","author":"Lasota A.","year":"1985"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(83)90134-3"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/12\/6\/314"},{"key":"ref24","volume-title":"Introduction to Mechanics and Symmetry","author":"Marsden J. E.","year":"1998"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-35713-9"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-021-07151-2"},{"key":"ref27","volume-title":"Encyclopedia of Mathematical Physics","author":"Ortega J.-P.","year":"2005"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-022-07806-8"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-55084-8"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-019-01460-2"}],"container-title":["SIAM Journal on Applied Dynamical Systems"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,12,5]],"date-time":"2024-12-05T13:29:08Z","timestamp":1733405348000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1603777"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,4]]},"references-count":22,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,12,31]]}},"alternative-id":["10.1137\/23M1603777"],"URL":"https:\/\/doi.org\/10.1137\/23m1603777","relation":{},"ISSN":["1536-0040"],"issn-type":[{"value":"1536-0040","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,4]]}}}