{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T17:16:59Z","timestamp":1778779019918,"version":"3.51.4"},"reference-count":273,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100005156","name":"Alexander von Humboldt-Stiftung","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100005156","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2026,6,30]]},"DOI":"10.1137\/24m165658x","type":"journal-article","created":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T16:51:11Z","timestamp":1778777471000},"page":"217-292","source":"Crossref","is-referenced-by-count":0,"title":["Localized Patterns"],"prefix":"10.1137","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4687-4956","authenticated-orcid":true,"given":"Jason J.","family":"Bramburger","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Concordia University, Montr\u00e9al, QC, Canada."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7934-6618","authenticated-orcid":true,"given":"Dan J.","family":"Hill","sequence":"additional","affiliation":[{"name":"Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1902-0007","authenticated-orcid":true,"given":"David J. B.","family":"Lloyd","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, University of Surrey, Guildford, GU2 7XH, UK."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2026,5,13]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1137\/090758386"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1017\/S0956792520000431"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1063\/5.0133576"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/57\/3\/016"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1137\/130948495"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/17M1162330"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/BF00337259"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-017-9624-0"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.62.R5"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(97)00437-8"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.85.756"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-023-09957-3"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.224502"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/17M1120932"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/20M1367246"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/100782747"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2014.11.007"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-016-1070-9"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1063\/5.0152562"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.89.104101"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.043282"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/19M1255665"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2012.585"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1063\/1.3626405"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1063\/1.4792711"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2017.905"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1063\/1.4843155"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1063\/1.4826978"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2021.1121"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/080713306"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxab035"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1063\/1.2837177"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.61.5600"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(99)00573-3"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(02)00076-2"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ac4d91"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.78.036214"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/11\/9\/093037"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.93.253901"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.93.203901"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1137\/21M1455875"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1017\/prm.2020.44"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1137\/18M1218728"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ab7d1e"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-019-09584-x"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2014.285"},{"key":"ref47","first-page":"041036","volume":"10","author":"Brauns F.","year":"2020","journal-title":"Phys. Rev. X"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2001.0843"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2005.06.009"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2012.10.007"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-017-1205-1"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1007\/s00021-022-00684-5"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2023.01.026"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1137\/110843976"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.73.056211"},{"key":"ref56","first-page":"109","volume":"2009","author":"Burke J.","year":"2009","journal-title":"Conference Publications, AIMS Proceedings"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1063\/1.2746816"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1137\/070698191"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-023-09963-5"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2024.09.015"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139996312703"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.85.015205"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.100.012214"},{"key":"ref64","first-page":"2213","volume":"379","author":"Champneys A.","year":"2021","journal-title":"Philos. Trans. Roy. Soc. A"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxab036"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2021.132858"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132735"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2008.10.005"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1137\/09077357X"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2008.10.002"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1998.3478"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127496000977"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(03)00002-2"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90154-F"},{"key":"ref75","unstructured":"R. P. Coyle, Localised States in the Zhang-Vinals Equations, Ph.D. thesis, University of Leeds, UK, 2023."},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.65.851"},{"key":"ref77","first-page":"3519","volume":"368","author":"Dawes J.","year":"2010","journal-title":"Philos Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112006002795"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1137\/06067794X"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1016\/j.hm.2015.03.003"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1137\/090762865"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-015-0937-5"},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ab0b1d"},{"key":"ref84","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/24\/12\/003"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.1137\/140966897"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.91.020901"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(76)90130-3"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1016\/S1874-5792(03)80012-5"},{"key":"ref89","unstructured":"E. J. Doedel, A. R. Champneys, F. Dercole, T. F. Fairgrieve, Y. A. Kuznetsov, B. Oldeman, R. Paffenroth, B. Sandstede, X. Wang, and C. Zhang, AUTO-07P:\u00a0Continuation and Bifurcation Software for Ordinary Differential Equations, 2007, https:\/\/depts.washington.edu\/bdecon\/workshop2012\/auto-tutorial\/documentation\/auto07p%20manual.pdf."},{"key":"ref90","doi-asserted-by":"publisher","DOI":"10.1137\/S1111111102405719"},{"key":"ref91","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/10\/2\/013"},{"key":"ref92","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2017.0183"},{"key":"ref93","doi-asserted-by":"publisher","DOI":"10.1137\/15M1026742"},{"key":"ref94","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-013-9325-2"},{"key":"ref95","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/aadf3f"},{"key":"ref96","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(87)90110-1"},{"key":"ref97","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740902444X"},{"key":"ref98","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-012-0532-y"},{"key":"ref99","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/26\/2\/437"},{"key":"ref100","doi-asserted-by":"publisher","DOI":"10.1063\/1.2768157"},{"key":"ref101","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2023053"},{"key":"ref102","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/24\/3\/002"},{"key":"ref103","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-24871-4_23"},{"key":"ref104","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.114.034102"},{"key":"ref105","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2017.0375"},{"key":"ref106","first-page":"414","author":"Germain P.","year":"2009","journal-title":"Internat. Math. Res. Notices"},{"key":"ref107","doi-asserted-by":"publisher","DOI":"10.1111\/ecog.00911"},{"key":"ref108","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1522130113"},{"key":"ref109","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/acf265"},{"key":"ref110","volume-title":"Singularities and Group in Bifurcation Theory","author":"Golubitsky M.","year":"2000"},{"key":"ref111","doi-asserted-by":"publisher","DOI":"10.2991\/jnmp.2004.11.4.2"},{"key":"ref112","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-007-0085-1"},{"key":"ref113","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2006.04.005"},{"key":"ref114","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-021-09986-0"},{"key":"ref115","doi-asserted-by":"publisher","DOI":"10.1504\/IJDSDE.2007.016510"},{"key":"ref116","doi-asserted-by":"publisher","DOI":"10.1017\/S0956792512000241"},{"key":"ref117","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(97)00210-8"},{"key":"ref118","doi-asserted-by":"publisher","DOI":"10.1090\/qam\/1614"},{"key":"ref119","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.104.158301"},{"key":"ref120","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.3.033125"},{"key":"ref121","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/acc508"},{"key":"ref122","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ad2221"},{"key":"ref123","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-021-09719-z"},{"key":"ref124","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-010-9157-2"},{"key":"ref125","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxab025"},{"key":"ref126","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-2966.2010.17926.x"},{"key":"ref127","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.84.016204"},{"key":"ref128","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511616051"},{"key":"ref129","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008398006403"},{"key":"ref130","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2011-10757-3"},{"key":"ref131","doi-asserted-by":"publisher","DOI":"10.1007\/BF02831423"},{"key":"ref132","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ab230a"},{"key":"ref133","doi-asserted-by":"publisher","DOI":"10.1007\/BF01209150"},{"key":"ref134","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1993.1022"},{"key":"ref135","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132637"},{"key":"ref136","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-30379-6_58"},{"key":"ref137","doi-asserted-by":"publisher","DOI":"10.1002\/mma.3049"},{"key":"ref138","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210518000197"},{"key":"ref139","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-023-08232-0"},{"key":"ref140","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.89.012903"},{"key":"ref141","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(82)90058-4"},{"key":"ref142","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(97)00073-2"},{"key":"ref143","doi-asserted-by":"publisher","DOI":"10.3934\/cpaa.2012.11.261"},{"key":"ref144","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/21\/4\/T02"},{"key":"ref145","doi-asserted-by":"publisher","DOI":"10.1146\/annurev-conmatphys-031214-014514"},{"key":"ref146","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxw029"},{"key":"ref147","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.100.012204"},{"key":"ref148","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-010-9195-9"},{"key":"ref149","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/25\/12\/3469"},{"key":"ref150","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2005.04.018"},{"key":"ref151","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.63.106"},{"key":"ref152","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2022.133521"},{"key":"ref153","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-2966.2005.0333.x"},{"key":"ref154","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.111.054501"},{"key":"ref155","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.97.044502"},{"key":"ref156","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ab46e8"},{"key":"ref157","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.96.062214"},{"key":"ref158","doi-asserted-by":"publisher","DOI":"10.1137\/030600040"},{"key":"ref159","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.83.3190"},{"key":"ref160","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/22\/2\/013"},{"key":"ref161","doi-asserted-by":"publisher","DOI":"10.1137\/20M1369622"},{"key":"ref162","doi-asserted-by":"publisher","DOI":"10.1137\/070707622"},{"key":"ref163","doi-asserted-by":"publisher","DOI":"10.1137\/18M1225653"},{"key":"ref164","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2015.565"},{"key":"ref165","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2013.02.005"},{"key":"ref166","doi-asserted-by":"publisher","DOI":"10.1137\/16M1073212"},{"key":"ref167","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2011.402"},{"key":"ref168","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2013.377"},{"key":"ref169","doi-asserted-by":"publisher","DOI":"10.1088\/1873-7005\/aa7b2a"},{"key":"ref170","doi-asserted-by":"publisher","DOI":"10.1137\/100784734"},{"key":"ref171","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2016.07.003"},{"key":"ref172","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2013.11.009"},{"key":"ref173","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2018.07.064"},{"key":"ref174","author":"Malomed B. A.","year":"2002","journal-title":"AIP Publishing LLC"},{"key":"ref175","doi-asserted-by":"publisher","DOI":"10.3390\/physics3040064"},{"key":"ref176","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.42.7244"},{"key":"ref177","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/13\/4\/317"},{"key":"ref178","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2010.04.004"},{"key":"ref179","doi-asserted-by":"publisher","DOI":"10.1137\/120882111"},{"key":"ref180","doi-asserted-by":"publisher","DOI":"10.1038\/srep27397"},{"key":"ref181","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/27\/12\/3073"},{"key":"ref182","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.66.046606"},{"key":"ref183","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.74.023818"},{"key":"ref184","doi-asserted-by":"publisher","DOI":"10.1088\/0169-5983\/42\/2\/025505"},{"key":"ref185","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112010004623"},{"key":"ref186","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2013.77"},{"key":"ref187","doi-asserted-by":"publisher","DOI":"10.1063\/1.2767246"},{"key":"ref188","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.fl.12.010180.000303"},{"key":"ref189","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112084002433"},{"key":"ref190","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2013.11.018"},{"key":"ref191","doi-asserted-by":"publisher","DOI":"10.1529\/biophysj.107.120824"},{"key":"ref192","doi-asserted-by":"publisher","DOI":"10.1137\/16M1060327"},{"key":"ref193","doi-asserted-by":"publisher","DOI":"10.1063\/5.0174550"},{"key":"ref194","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.103.032601"},{"key":"ref195","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2016.08.004"},{"key":"ref196","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2017.11.056"},{"key":"ref197","first-page":"2973","volume":"369","author":"Parau E. I.","year":"2011","journal-title":"Philos. Trans. A Math. Phys. Eng. Sci."},{"key":"ref198","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112005005136"},{"key":"ref199","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112007008452"},{"key":"ref200","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxab031"},{"key":"ref201","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.063839"},{"key":"ref202","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2019.154"},{"key":"ref203","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1997.3303"},{"key":"ref204","doi-asserted-by":"publisher","DOI":"10.1038\/41732"},{"key":"ref205","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(86)90104-1"},{"key":"ref206","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevFluids.2.064401"},{"key":"ref207","doi-asserted-by":"publisher","DOI":"10.1137\/130918721"},{"key":"ref208","doi-asserted-by":"publisher","DOI":"10.1080\/14786441608635602"},{"key":"ref209","doi-asserted-by":"publisher","DOI":"10.1051\/epn\/2011301"},{"key":"ref210","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.94.184503"},{"key":"ref211","doi-asserted-by":"publisher","DOI":"10.1137\/130934696"},{"key":"ref212","doi-asserted-by":"publisher","DOI":"10.1137\/080719066"},{"key":"ref213","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(96)00077-2"},{"key":"ref214","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1997-00249-7"},{"key":"ref215","doi-asserted-by":"publisher","DOI":"10.1137\/030600192"},{"key":"ref216","doi-asserted-by":"publisher","DOI":"10.1080\/14689367.2012.691961"},{"key":"ref217","author":"Scheel A.","year":"2003","journal-title":"Mem. Amer. Math. Soc."},{"key":"ref218","doi-asserted-by":"publisher","DOI":"10.1063\/1.5135579"},{"key":"ref219","doi-asserted-by":"crossref","unstructured":"G. Schneider and H. Uecker, Nonlinear PDEs: A Dynamical Systems Approach, Grad. Stud. Math. 182, American Mathematical Society, 2017, https:\/\/doi.org\/10.1090\/gsm\/182.","DOI":"10.1090\/gsm\/182"},{"key":"ref220","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.104.104501"},{"key":"ref221","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112009993144"},{"key":"ref222","doi-asserted-by":"publisher","DOI":"10.1016\/j.pepi.2012.04.005"},{"key":"ref223","doi-asserted-by":"publisher","DOI":"10.1063\/5.0050576"},{"key":"ref224","doi-asserted-by":"publisher","DOI":"10.1201\/9780429492563"},{"key":"ref225","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/aaf3bd"},{"key":"ref226","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxab032"},{"key":"ref227","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.15.319"},{"key":"ref228","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2010.10.010"},{"key":"ref229","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1923.0008"},{"key":"ref230","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.87.042915"},{"key":"ref231","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxab023"},{"key":"ref232","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2021.111364"},{"key":"ref233","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.73.640"},{"key":"ref234","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2017.0345"},{"key":"ref235","doi-asserted-by":"publisher","DOI":"10.1137\/22M1510303"},{"key":"ref236","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1952.0012"},{"key":"ref237","doi-asserted-by":"publisher","DOI":"10.4208\/nmtma.2014.1231nm"},{"key":"ref238","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132383"},{"key":"ref239","doi-asserted-by":"publisher","DOI":"10.1038\/382793a0"},{"key":"ref240","doi-asserted-by":"publisher","DOI":"10.1137\/140987973"},{"key":"ref241","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7683(01)00234-7"},{"key":"ref242","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2014.02.001"},{"key":"ref243","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.92.128301"},{"key":"ref244","doi-asserted-by":"publisher","DOI":"10.1063\/1.2752494"},{"key":"ref245","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.86.552"},{"key":"ref246","doi-asserted-by":"publisher","DOI":"10.2495\/978-1-84564-157-3\/03"},{"key":"ref247","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-322-96657-5_4"},{"key":"ref248","unstructured":"R. Veltz, BifurcationKit.jl, Ph.D. thesis, INRIA, Sophia Antipolis, France, 2020."},{"key":"ref249","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.63.046202"},{"key":"ref250","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-023-01870-3"},{"key":"ref251","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.65.046606"},{"key":"ref252","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.87.198101"},{"key":"ref253","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(02)00350-0"},{"key":"ref254","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-023-01218-4"},{"key":"ref255","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2012.320"},{"key":"ref256","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/aabe4b"},{"key":"ref257","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9590.00223"},{"key":"ref258","first-page":"211","volume":"59","author":"Watanabe T.","year":"2011","journal-title":"Theoret. Appl. Mech. Japan"},{"key":"ref259","doi-asserted-by":"publisher","DOI":"10.1017\/jfm.2012.413"},{"key":"ref260","doi-asserted-by":"publisher","DOI":"10.1137\/15M1010968"},{"key":"ref261","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141098347237"},{"key":"ref262","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9590.00231"},{"key":"ref263","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2022.0176"},{"key":"ref264","doi-asserted-by":"publisher","DOI":"10.1007\/BF00288786"},{"key":"ref265","doi-asserted-by":"publisher","DOI":"10.1137\/20M1316779"},{"key":"ref266","doi-asserted-by":"publisher","DOI":"10.1111\/sapm.12361"},{"key":"ref267","doi-asserted-by":"publisher","DOI":"10.3934\/dcdss.2022043"},{"key":"ref268","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(98)00309-1"},{"key":"ref269","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.109.114502"},{"key":"ref270","doi-asserted-by":"publisher","DOI":"10.3934\/dcdss.2011.4.1341"},{"key":"ref271","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1504289112"},{"key":"ref272","doi-asserted-by":"publisher","DOI":"10.1126\/sciadv.abe1100"},{"key":"ref273","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1997-00239-3"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T16:51:17Z","timestamp":1778777477000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M165658X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,5,13]]},"references-count":273,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,6,30]]}},"alternative-id":["10.1137\/24M165658X"],"URL":"https:\/\/doi.org\/10.1137\/24m165658x","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,5,13]]}}}