{"id":"https://openalex.org/W3196309048","doi":"https://doi.org/10.1142/s0218127421501649","title":"Bifurcations in Twinkling Patterns for the Lengyel\u2013Epstein Reaction\u2013Diffusion Model","display_name":"Bifurcations in Twinkling Patterns for the Lengyel\u2013Epstein Reaction\u2013Diffusion Model","publication_year":2021,"publication_date":"2021-09-02","ids":{"openalex":"https://openalex.org/W3196309048","doi":"https://doi.org/10.1142/s0218127421501649","mag":"3196309048"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127421501649","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421501649","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5021480940","display_name":"J. Sarr\u00eda-Gonz\u00e1lez","orcid":null},"institutions":[{"id":"https://openalex.org/I2656126","display_name":"University of Havana","ror":"https://ror.org/04204gr61","country_code":"CU","type":"education","lineage":["https://openalex.org/I2656126"]}],"countries":["CU"],"is_corresponding":false,"raw_author_name":"J. Sarr\u00eda-Gonz\u00e1lez","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad de La Habana, CP.10400, Cuba"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad de La Habana, CP.10400, Cuba","institution_ids":["https://openalex.org/I2656126"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009350643","display_name":"Ivonne Sgura","orcid":"https://orcid.org/0000-0001-9207-5832"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Ivonne Sgura","raw_affiliation_strings":["Universit\u00e1 del Salento, Dipartimento di Matematica e Fisica \u201cE. De Giorgi\u201d, Lecce, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e1 del Salento, Dipartimento di Matematica e Fisica \u201cE. De Giorgi\u201d, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081906270","display_name":"M Rodr\u00edguez Ricard","orcid":"https://orcid.org/0000-0002-8626-276X"},"institutions":[{"id":"https://openalex.org/I2656126","display_name":"University of Havana","ror":"https://ror.org/04204gr61","country_code":"CU","type":"education","lineage":["https://openalex.org/I2656126"]}],"countries":["CU"],"is_corresponding":false,"raw_author_name":"M. R. Ricard","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad de La Habana, CP.10400, Cuba"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad de La Habana, CP.10400, Cuba","institution_ids":["https://openalex.org/I2656126"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4558,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65417537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"11","first_page":"2150164","last_page":"2150164"},"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":0.9983999729156494,"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/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7817045450210571},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.652310848236084},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.640164315700531},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.6307842135429382},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5873297452926636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5415184497833252},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5140041708946228},{"id":"https://openalex.org/keywords/brusselator","display_name":"Brusselator","score":0.4996640682220459},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4611509144306183},{"id":"https://openalex.org/keywords/infinite-period-bifurcation","display_name":"Infinite-period bifurcation","score":0.4298703670501709},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.42230546474456787},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4027102589607239},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.398467481136322},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.3882034718990326},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3658590614795685},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.17033326625823975},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1596725583076477},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09913396835327148},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0623345673084259}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7817045450210571},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.652310848236084},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.640164315700531},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.6307842135429382},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5873297452926636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5415184497833252},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5140041708946228},{"id":"https://openalex.org/C14028793","wikidata":"https://www.wikidata.org/wiki/Q906505","display_name":"Brusselator","level":3,"score":0.4996640682220459},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4611509144306183},{"id":"https://openalex.org/C165150564","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Infinite-period bifurcation","level":5,"score":0.4298703670501709},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.42230546474456787},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4027102589607239},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.398467481136322},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3882034718990326},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3658590614795685},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.17033326625823975},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1596725583076477},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09913396835327148},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0623345673084259},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127421501649","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127421501649","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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":45,"referenced_works":["https://openalex.org/W581313666","https://openalex.org/W1467957547","https://openalex.org/W1481616730","https://openalex.org/W1521581363","https://openalex.org/W1596321532","https://openalex.org/W1717598848","https://openalex.org/W1865693766","https://openalex.org/W1992267419","https://openalex.org/W1993999944","https://openalex.org/W1995998068","https://openalex.org/W1997574957","https://openalex.org/W1999074184","https://openalex.org/W1999657887","https://openalex.org/W2001538622","https://openalex.org/W2009354787","https://openalex.org/W2026692712","https://openalex.org/W2035695789","https://openalex.org/W2060665770","https://openalex.org/W2068769173","https://openalex.org/W2090248486","https://openalex.org/W2092481129","https://openalex.org/W2115847587","https://openalex.org/W2130797746","https://openalex.org/W2137396446","https://openalex.org/W2138634725","https://openalex.org/W2139215311","https://openalex.org/W2167153930","https://openalex.org/W2168877694","https://openalex.org/W2193955221","https://openalex.org/W2267606174","https://openalex.org/W2466494977","https://openalex.org/W2555890853","https://openalex.org/W2566868778","https://openalex.org/W2603374957","https://openalex.org/W2795942326","https://openalex.org/W2883710534","https://openalex.org/W2892889811","https://openalex.org/W2939877253","https://openalex.org/W2945374594","https://openalex.org/W2963957789","https://openalex.org/W2985148383","https://openalex.org/W3099251930","https://openalex.org/W3203680921","https://openalex.org/W4237669967","https://openalex.org/W4250716583"],"related_works":["https://openalex.org/W2390864159","https://openalex.org/W3153636207","https://openalex.org/W2047208578","https://openalex.org/W2069804810","https://openalex.org/W2291372883","https://openalex.org/W2115351049","https://openalex.org/W2353430195","https://openalex.org/W2094768441","https://openalex.org/W2262919813","https://openalex.org/W2903103527"],"abstract_inverted_index":{"Conditions":[0],"for":[1,69],"the":[2,9,31,43,48,64],"emergence":[3],"of":[4,30,47,66],"strong":[5],"Turing\u2013Hopf":[6],"instabilities":[7],"in":[8],"Lengyel\u2013Epstein":[10],"CIMA":[11],"reaction\u2013diffusion":[12],"model":[13],"are":[14],"found.":[15],"Under":[16],"these":[17],"conditions,":[18],"time":[19],"periodic":[20],"spatially":[21,32],"inhomogeneous":[22],"solutions":[23],"can":[24],"be":[25],"induced":[26],"by":[27,55],"diffusive":[28],"instability":[29],"homogeneous":[33],"limit":[34],"cycle":[35],"emerging":[36],"at":[37],"a":[38,70],"supercritical":[39],"Bautin\u2013Hopf":[40],"bifurcation":[41],"about":[42],"unstable":[44],"steady":[45],"state":[46],"reaction":[49],"system.":[50],"We":[51],"report":[52],"numerical":[53],"simulations":[54],"an":[56],"Alternating":[57],"Directions":[58],"Implicit":[59],"(ADI)":[60],"method":[61],"that":[62],"show":[63],"formation":[65],"twinkling":[67],"patterns":[68],"chosen":[71],"parameter":[72],"value,":[73],"thus":[74],"confirming":[75],"our":[76],"theoretical":[77],"results.":[78]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}