{"id":"https://openalex.org/W2777770694","doi":"https://doi.org/10.1137/17m1162330","title":"Localized Patterns in Periodically Forced Systems: II. Patterns with Nonzero Wavenumber","display_name":"Localized Patterns in Periodically Forced Systems: II. Patterns with Nonzero Wavenumber","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2777770694","doi":"https://doi.org/10.1137/17m1162330","mag":"2777770694"},"language":"en","primary_location":{"id":"doi:10.1137/17m1162330","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1162330","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1712.07573","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"A. S. Alnahdi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. S. Alnahdi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"J. Niesen","orcid":"https://orcid.org/0000-0002-6693-3810"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Niesen","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6693-3810","affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"A. M. Rucklidge","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. M. Rucklidge","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3951,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63917011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"2","first_page":"1478","last_page":"1502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.0031999999191612005,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11575","display_name":"Nonlinear Photonic Systems","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.8737000226974487},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.6190999746322632},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5812000036239624},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5730000138282776},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5473999977111816},{"id":"https://openalex.org/keywords/faraday-cage","display_name":"Faraday cage","score":0.4490000009536743},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3781999945640564}],"concepts":[{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.8737000226974487},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.6190999746322632},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6018999814987183},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5812000036239624},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5730000138282776},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5473999977111816},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5026999711990356},{"id":"https://openalex.org/C108948954","wikidata":"https://www.wikidata.org/wiki/Q208138","display_name":"Faraday cage","level":3,"score":0.4490000009536743},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38690000772476196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3783999979496002},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3781999945640564},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.3416999876499176},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3222000002861023},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3061000108718872},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.3012000024318695},{"id":"https://openalex.org/C66908091","wikidata":"https://www.wikidata.org/wiki/Q1127660","display_name":"Damped wave","level":3,"score":0.2888999879360199},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/17m1162330","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1162330","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1712.07573","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.07573","pdf_url":"https://arxiv.org/pdf/1712.07573","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1712.07573","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.07573","pdf_url":"https://arxiv.org/pdf/1712.07573","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1490058732","https://openalex.org/W1964370413","https://openalex.org/W1966734519","https://openalex.org/W1968619821","https://openalex.org/W1970367503","https://openalex.org/W1974742255","https://openalex.org/W1976618166","https://openalex.org/W1978191695","https://openalex.org/W1986712447","https://openalex.org/W1987577018","https://openalex.org/W1990493706","https://openalex.org/W1991846730","https://openalex.org/W1996170871","https://openalex.org/W2002980676","https://openalex.org/W2005306494","https://openalex.org/W2019806348","https://openalex.org/W2023368730","https://openalex.org/W2031287022","https://openalex.org/W2043049060","https://openalex.org/W2048545784","https://openalex.org/W2049165066","https://openalex.org/W2052057076","https://openalex.org/W2054033101","https://openalex.org/W2055338580","https://openalex.org/W2061883026","https://openalex.org/W2080074083","https://openalex.org/W2083245270","https://openalex.org/W2086575495","https://openalex.org/W2092588199","https://openalex.org/W2095498348","https://openalex.org/W2102120412","https://openalex.org/W2133868769","https://openalex.org/W2134358356","https://openalex.org/W2138428581","https://openalex.org/W2140569783","https://openalex.org/W2143652559","https://openalex.org/W2145996856","https://openalex.org/W2164727184"],"related_works":[],"abstract_inverted_index":{"In":[0,124],"pattern-forming":[1],"systems,":[2],"localized":[3,56,154],"patterns":[4,10,97],"are":[5,23,36],"readily":[6],"found":[7,31],"when":[8],"stable":[9,19],"exist":[11],"at":[12],"the":[13,18,45,52,88,125,142,146,160,175,181,189,192,196,204],"same":[14],"parameter":[15],"values":[16],"as":[17,83],"unpatterned":[20],"state.":[21],"Oscillons":[22],"spatially":[24],"localized,":[25],"time-periodic":[26,40],"structures,":[27],"which":[28],"have":[29],"been":[30],"experimentally":[32,205],"in":[33,44,58,67,99,159,174],"systems":[34],"that":[35,96,171],"driven":[37],"by":[38],"a":[39,59,84],"force,":[41],"for":[42,188],"example,":[43],"Faraday":[46,89],"wave":[47,90],"experiment.":[48,91],"This":[49],"paper":[50],"examines":[51],"existence":[53],"of":[54,87,127,195],"oscillatory":[55],"states":[57],"PDE":[60,144,190],"model":[61,86,143,176],"with":[62,100],"single-frequency":[63],"time-dependent":[64],"forcing,":[65,133],"introduced":[66],"[A.":[68,106],"M.":[69,72,113],"Rucklidge":[70],"and":[71,111,137,156,166,191],"Silber,":[73],"SIAM":[74,115],"J.":[75,109,116],"Appl.":[76,117],"Dyn.":[77,118],"Syst.,":[78,119],"8":[79],"(2009),":[80],"pp.":[81,122],"298--347]":[82],"phenomenological":[85],"We":[92,152],"choose":[93],"parameters":[94],"so":[95],"set":[98],"non-zero":[101],"wavenumber":[102],"(in":[103],"contrast":[104],"to":[105,145,169,179,203],"S.":[107],"Alnahdi,":[108],"Niesen,":[110],"A.":[112],"Rucklidge,":[114],"13":[120],"(2014),":[121],"1311--1327]).":[123],"limit":[126],"weak":[128,130,132],"damping,":[129],"detuning,":[131],"small":[134,138],"group":[135],"velocity,":[136],"amplitude,":[139],"we":[140,172],"reduce":[141],"coupled":[147,161],"forced":[148,162],"complex":[149,163],"Ginzburg--Landau":[150,164],"equations.":[151],"find":[153,173],"solutions":[155],"snaking":[157],"behavior":[158],"equations":[165,198],"relate":[167],"these":[168],"oscillons":[170],"PDE.":[177],"Close":[178],"onset,":[180],"agreement":[182],"is":[183],"excellent.":[184],"The":[185],"periodic":[186],"forcing":[187],"explicit":[193],"derivation":[194],"amplitude":[197],"make":[199],"our":[200],"work":[201],"relevant":[202],"observed":[206],"oscillons.":[207]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-15T08:27:34.491423","created_date":"2018-01-05T00:00:00"}
