{"id":"https://openalex.org/W2057704691","doi":"https://doi.org/10.1137/090747348","title":"Turing Patterns and Wavefronts for Reaction-Diffusion Systems in an Infinite Channel","display_name":"Turing Patterns and Wavefronts for Reaction-Diffusion Systems in an Infinite Channel","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2057704691","doi":"https://doi.org/10.1137/090747348","mag":"2057704691"},"language":"en","primary_location":{"id":"doi:10.1137/090747348","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090747348","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/A5074260210","display_name":"Chao-Nien Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chao-Nien Chen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057373270","display_name":"Shin-Ichiro Ei","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shin-Ichiro Ei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067858834","display_name":"Ya-Ping Lin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ya-Ping Lin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3656,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64478994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"70","issue":"8","first_page":"2822","last_page":"2843"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9865000247955322,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9684000015258789,"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/wavefront","display_name":"Wavefront","score":0.8222965002059937},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.7123607993125916},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.6298252940177917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5961146950721741},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.573149561882019},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5361698865890503},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.5249329209327698},{"id":"https://openalex.org/keywords/heteroclinic-orbit","display_name":"Heteroclinic orbit","score":0.5193389654159546},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4571745991706848},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.45059144496917725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44285038113594055},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4428061544895172},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.33464401960372925},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.2926809787750244},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28738683462142944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19152694940567017},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.10871437191963196},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10247385501861572},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08502525091171265}],"concepts":[{"id":"https://openalex.org/C165699331","wikidata":"https://www.wikidata.org/wiki/Q461533","display_name":"Wavefront","level":2,"score":0.8222965002059937},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.7123607993125916},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.6298252940177917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5961146950721741},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.573149561882019},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5361698865890503},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.5249329209327698},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.5193389654159546},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4571745991706848},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.45059144496917725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44285038113594055},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4428061544895172},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33464401960372925},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.2926809787750244},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28738683462142944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19152694940567017},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10871437191963196},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10247385501861572},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08502525091171265},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090747348","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090747348","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":[{"id":"https://metadata.un.org/sdg/11","score":0.75,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W24195098","https://openalex.org/W90288657","https://openalex.org/W1964082056","https://openalex.org/W1964238047","https://openalex.org/W1980661496","https://openalex.org/W1992963104","https://openalex.org/W1995898351","https://openalex.org/W2000865352","https://openalex.org/W2004583535","https://openalex.org/W2005727349","https://openalex.org/W2006865148","https://openalex.org/W2008673057","https://openalex.org/W2009375605","https://openalex.org/W2016962304","https://openalex.org/W2023408913","https://openalex.org/W2028365960","https://openalex.org/W2029498003","https://openalex.org/W2032675119","https://openalex.org/W2048091126","https://openalex.org/W2053437977","https://openalex.org/W2058421769","https://openalex.org/W2066398370","https://openalex.org/W2080607182","https://openalex.org/W2082854615","https://openalex.org/W2089840306","https://openalex.org/W2092696532","https://openalex.org/W2124263626","https://openalex.org/W2126614001","https://openalex.org/W2139215311"],"related_works":["https://openalex.org/W2095803285","https://openalex.org/W1982818376","https://openalex.org/W2049615654","https://openalex.org/W2040704758","https://openalex.org/W2004628047","https://openalex.org/W2036219330","https://openalex.org/W4220761371","https://openalex.org/W15924173","https://openalex.org/W2993047183","https://openalex.org/W2060438851"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"reaction-diffusion":[4],"systems":[5],"on":[6],"an":[7],"infinitely":[8],"long":[9],"strip":[10],"in":[11,21],"$\\boldsymbol{R}^2$.":[12],"Through":[13],"a":[14,22,51,57],"pitchfork":[15],"bifurcation,":[16],"spatially":[17],"heterogeneous":[18],"patterns":[19],"exist":[20],"neighborhood":[23],"of":[24,31,50,61],"Turing":[25,41],"instability.":[26],"Motivated":[27],"by":[28,56],"the":[29,48],"works":[30],"Kondo":[32],"and":[33],"Asai,":[34],"we":[35],"study":[36],"wavefront":[37,52],"solution":[38],"heteroclinic":[39],"to":[40],"patterns.":[42],"It":[43],"will":[44],"be":[45,54],"seen":[46],"that":[47],"dynamics":[49],"can":[53],"approximated":[55],"fourth":[58],"order":[59],"equation":[60],"buckling":[62],"type.":[63]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}