{"id":"https://openalex.org/W2016603088","doi":"https://doi.org/10.1137/s0036139992237250","title":"Pattern Selection for Two Breathers","display_name":"Pattern Selection for Two Breathers","publication_year":1994,"publication_date":"1994-02-01","ids":{"openalex":"https://openalex.org/W2016603088","doi":"https://doi.org/10.1137/s0036139992237250","mag":"2016603088"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139992237250","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139992237250","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111750001","display_name":"Tsutomu Ikeda","orcid":null},"institutions":[{"id":"https://openalex.org/I103390050","display_name":"Ryukoku University","ror":"https://ror.org/012tqgb57","country_code":"JP","type":"education","lineage":["https://openalex.org/I103390050"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tsutomu Ikeda","raw_affiliation_strings":["Ryukoku university;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ryukoku university;","institution_ids":["https://openalex.org/I103390050"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049555613","display_name":"Yasumasa Nishiura","orcid":"https://orcid.org/0000-0003-2269-7438"},"institutions":[{"id":"https://openalex.org/I103390050","display_name":"Ryukoku University","ror":"https://ror.org/012tqgb57","country_code":"JP","type":"education","lineage":["https://openalex.org/I103390050"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasumasa Nishiura","raw_affiliation_strings":["Ryukoku university;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ryukoku university;","institution_ids":["https://openalex.org/I103390050"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I103390050"],"apc_list":null,"apc_paid":null,"fwci":1.6037,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.84525829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"54","issue":"1","first_page":"195","last_page":"230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"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":0.9998000264167786,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/breather","display_name":"Breather","score":0.8910549879074097},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.7767124176025391},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.6547600030899048},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5640538930892944},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5143224000930786},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.495976060628891},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.47773832082748413},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.47204384207725525},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4618718922138214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43007534742355347},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.38792717456817627},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3573485016822815},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20762720704078674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11251199245452881},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09102782607078552}],"concepts":[{"id":"https://openalex.org/C74455749","wikidata":"https://www.wikidata.org/wiki/Q5254599","display_name":"Breather","level":3,"score":0.8910549879074097},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.7767124176025391},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.6547600030899048},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5640538930892944},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5143224000930786},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.495976060628891},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47773832082748413},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.47204384207725525},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4618718922138214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43007534742355347},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.38792717456817627},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3573485016822815},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20762720704078674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11251199245452881},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09102782607078552},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139992237250","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139992237250","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W277635703","https://openalex.org/W1518731241","https://openalex.org/W1560060148","https://openalex.org/W1967848725","https://openalex.org/W1986091686","https://openalex.org/W2016962304","https://openalex.org/W2017798986","https://openalex.org/W2020718248","https://openalex.org/W2040745924","https://openalex.org/W2042481950","https://openalex.org/W2057216726","https://openalex.org/W2060424841","https://openalex.org/W2068336074","https://openalex.org/W2083107946","https://openalex.org/W2085436493","https://openalex.org/W2118904337","https://openalex.org/W2166181411","https://openalex.org/W2327029591","https://openalex.org/W2487639518"],"related_works":["https://openalex.org/W2269714044","https://openalex.org/W2026236086","https://openalex.org/W3023205431","https://openalex.org/W2030584041","https://openalex.org/W2036284152","https://openalex.org/W4376111694","https://openalex.org/W3093032278","https://openalex.org/W2892335492","https://openalex.org/W2796176139","https://openalex.org/W2083380091"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,60,111],"devoted":[3],"to":[4,94],"the":[5,63,73,83,102,106],"study":[6],"of":[7,15,22,75,85],"pattern":[8,86],"selection":[9,87],"problems":[10],"among":[11],"two":[12,49,100],"different":[13],"types":[14],"layer-oscillating":[16],"solutions":[17],"(in-phase":[18],"and":[19],"out-of-phase":[20,112],"breathers)":[21],"reaction-diffusion":[23],"systems\\[":[24],"\\varepsilon":[25,29,53],"\\tau":[26],"u_t":[27],"=":[28,39],"^2":[30],"u_{xx}":[31],"+":[32,42],"f(":[33],"{u,\\upsilon":[34,44],"}":[35,45],"),\\\\quad":[36],"\\upsilon":[37,40],"_t":[38],"_{xx}":[41],"g(":[43],")":[46],"\\]":[47],"involving":[48],"parameters":[50],"$0":[51],"<":[52],"\\ll":[54],"1$":[55],"and$\\tau":[56],">":[57],"0$.":[58],"It":[59],"shown":[61],"that":[62],"selected":[64],"pattern,":[65],"i.e.,":[66],"stable":[67],"observable":[68,108],"solution,":[69],"strongly":[70],"depends":[71],"on":[72],"location":[74],"internal":[76],"layers.":[77],"Especially":[78],"for":[79],"sufficiently":[80],"small":[81],"$\\varepsilon$,":[82],"shift":[84],"occurs":[88],"arbitrarily":[89],"many":[90],"times":[91],"from":[92],"in-phase":[93],"out-of-phase,":[95],"or":[96],"vice":[97],"versa,":[98],"when":[99,113],"layersapproach":[101],"boundary":[103],"separately,":[104],"while":[105],"only":[107],"oscillation":[109],"mode":[110],"twolayers":[114],"come":[115],"close.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}