{"id":"https://openalex.org/W1986034676","doi":"https://doi.org/10.1142/s0218127404009107","title":"HEXAGONAL PATTERNS IN A MODEL FOR ROTATING CONVECTION","display_name":"HEXAGONAL PATTERNS IN A MODEL FOR ROTATING CONVECTION","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1986034676","doi":"https://doi.org/10.1142/s0218127404009107","mag":"1986034676"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404009107","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404009107","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":true,"oa_status":"green","oa_url":"http://oa.upm.es/21703/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081824007","display_name":"Santiago Madruga","orcid":"https://orcid.org/0000-0002-9996-1287"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]},{"id":"https://openalex.org/I88155538","display_name":"Universidad de Navarra","ror":"https://ror.org/02rxc7m23","country_code":"ES","type":"education","lineage":["https://openalex.org/I88155538"]}],"countries":["BE","ES"],"is_corresponding":false,"raw_author_name":"S. MADRUGA","raw_affiliation_strings":["Institut de Physique, Universit\u00e9 de Li\u00e8ge, B5, Sart-Tilman, B-4000 Li\u00e8ge, Belgium","Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Navarra, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Physique, Universit\u00e9 de Li\u00e8ge, B5, Sart-Tilman, B-4000 Li\u00e8ge, Belgium","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Navarra, Spain","institution_ids":["https://openalex.org/I88155538"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064381713","display_name":"C. P\u00e9rez\u2010Garc\u00eda","orcid":"https://orcid.org/0009-0001-6068-0728"},"institutions":[{"id":"https://openalex.org/I88155538","display_name":"Universidad de Navarra","ror":"https://ror.org/02rxc7m23","country_code":"ES","type":"education","lineage":["https://openalex.org/I88155538"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. P\u00c9REZ-GARC\u00cdA","raw_affiliation_strings":["Depto. Ingenier\u00eda Mec\u00e1nica, E. T. S. Ingenieros (TECNUN), Universidad de Navarra, E-20018 San Sebasti\u00e1n, Spain","Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Navarra, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Depto. Ingenier\u00eda Mec\u00e1nica, E. T. S. Ingenieros (TECNUN), Universidad de Navarra, E-20018 San Sebasti\u00e1n, Spain","institution_ids":["https://openalex.org/I88155538"]},{"raw_affiliation_string":"Instituto de F\u00edsica, Universidad de Navarra, E-31080 Pamplona, Navarra, Spain","institution_ids":["https://openalex.org/I88155538"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.74,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77125046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"14","issue":"01","first_page":"107","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994000196456909,"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":0.9994000196456909,"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/T10266","display_name":"Plant Water Relations and Carbon Dynamics","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/rotation","display_name":"Rotation (mathematics)","score":0.746936559677124},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.6523445844650269},{"id":"https://openalex.org/keywords/prandtl-number","display_name":"Prandtl number","score":0.6343300342559814},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.600192666053772},{"id":"https://openalex.org/keywords/hexagonal-crystal-system","display_name":"Hexagonal crystal system","score":0.5902801752090454},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5744220614433289},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5740291476249695},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5501297116279602},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.46881866455078125},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.42207491397857666},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.39879050850868225},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.37354859709739685},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3509940505027771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2707430124282837},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19315049052238464},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.15160036087036133},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07617703080177307}],"concepts":[{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.746936559677124},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.6523445844650269},{"id":"https://openalex.org/C72687893","wikidata":"https://www.wikidata.org/wiki/Q815306","display_name":"Prandtl number","level":3,"score":0.6343300342559814},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.600192666053772},{"id":"https://openalex.org/C128765274","wikidata":"https://www.wikidata.org/wiki/Q663314","display_name":"Hexagonal crystal system","level":2,"score":0.5902801752090454},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5744220614433289},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5740291476249695},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5501297116279602},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.46881866455078125},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.42207491397857666},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.39879050850868225},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.37354859709739685},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3509940505027771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2707430124282837},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19315049052238464},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.15160036087036133},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07617703080177307},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127404009107","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404009107","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"},{"id":"pmh:oai:oa.upm.es:21703","is_oa":false,"landing_page_url":"https://oa.upm.es/21703/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196323","display_name":"UPM Digital Archive (Technical University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I88060688","host_organization_name":"Universidad Polit\u00e9cnica de Madrid","host_organization_lineage":["https://openalex.org/I88060688"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, ISSN 0218-1274, 2004-01, Vol. 14, No. 1","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dnet:archivodigit::c5a94e7d114095bfb8f587affb97fe5a","is_oa":true,"landing_page_url":"http://oa.upm.es/21703/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, ISSN 0218-1274, 2004-01, Vol. 14, No. 1","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:archivodigit::c5a94e7d114095bfb8f587affb97fe5a","is_oa":true,"landing_page_url":"http://oa.upm.es/21703/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, ISSN 0218-1274, 2004-01, Vol. 14, No. 1","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1963603325","https://openalex.org/W1963768416","https://openalex.org/W1979670207","https://openalex.org/W1983120731","https://openalex.org/W1987732879","https://openalex.org/W1988927564","https://openalex.org/W1989497591","https://openalex.org/W1992908194","https://openalex.org/W2004058723","https://openalex.org/W2029611734","https://openalex.org/W2035683042","https://openalex.org/W2050543072","https://openalex.org/W2055931342","https://openalex.org/W2062247173","https://openalex.org/W2065323359","https://openalex.org/W2069183866","https://openalex.org/W2071635705","https://openalex.org/W2072557318","https://openalex.org/W2078244171","https://openalex.org/W2081726249","https://openalex.org/W2083794767","https://openalex.org/W2094497702","https://openalex.org/W2123029817","https://openalex.org/W2140074857","https://openalex.org/W2162551761","https://openalex.org/W2167262170","https://openalex.org/W2991415348","https://openalex.org/W3102157645","https://openalex.org/W4248298437"],"related_works":["https://openalex.org/W2082984609","https://openalex.org/W4385150657","https://openalex.org/W2374609629","https://openalex.org/W2590396971","https://openalex.org/W4233523705","https://openalex.org/W2155528228","https://openalex.org/W2922512902","https://openalex.org/W2005186544","https://openalex.org/W1552846707","https://openalex.org/W1968630799"],"abstract_inverted_index":{"We":[0,56],"study":[1],"a":[2,11,29,43,58,98],"model":[3,30,92],"equation":[4,31,71],"that":[5,40],"mimics":[6],"convection":[7],"under":[8],"rotation":[9,38,76],"in":[10,68],"fluid":[12],"with":[13],"temperature-dependent":[14],"properties":[15],"(non-Boussinesq":[16],"(NB)),":[17],"high":[18],"Prandtl":[19],"number":[20],"and":[21,50,82,87,116],"idealized":[22],"boundary":[23],"conditions.":[24],"It":[25],"is":[26,122],"based":[27],"on":[28],"proposed":[32],"by":[33,36],"Segel":[34],"[1965]":[35],"adding":[37],"terms":[39],"lead":[41],"to":[42,62],"K\u00fcppers\u2013Lortz":[44],"instability":[45],"[K\u00fcppers":[46],"&":[47,94],"Lortz,":[48],"1969]":[49],"can":[51],"develop":[52],"into":[53],"oscillating":[54,83,120],"hexagons.":[55],"perform":[57],"weakly":[59],"nonlinear":[60],"analysis":[61],"find":[63],"out":[64],"explicitly":[65],"the":[66,69,75,89,117],"coefficients":[67],"amplitude":[70],"as":[72,97,104,106],"functions":[73],"of":[74,110],"rate.":[77],"These":[78],"equations":[79],"describe":[80],"hexagons":[81,84,121],"quite":[85],"well,":[86],"include":[88],"Busse\u2013Heikes":[90],"(BH)":[91],"[Busse":[93],"Heikes,":[95],"1980]":[96],"particular":[99],"case.":[100],"The":[101],"sideband":[102],"instabilities":[103,109],"well":[105],"short":[107],"wavelength":[108],"such":[111],"hexagonal":[112],"patterns":[113],"are":[114],"discussed":[115],"threshold":[118],"for":[119],"determined.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}