{"id":"https://openalex.org/W1984988224","doi":"https://doi.org/10.1142/s0218127405014404","title":"SYMMETRIC PERIODIC ORBITS AND GLOBAL DYNAMICS OF TORI IN AN O(2) EQUIVARIANT SYSTEM: TWO-DIMENSIONAL THERMAL CONVECTION","display_name":"SYMMETRIC PERIODIC ORBITS AND GLOBAL DYNAMICS OF TORI IN AN O(2) EQUIVARIANT SYSTEM: TWO-DIMENSIONAL THERMAL CONVECTION","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W1984988224","doi":"https://doi.org/10.1142/s0218127405014404","mag":"1984988224"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405014404","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405014404","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/A5074045082","display_name":"M. Net","orcid":"https://orcid.org/0000-0002-8034-1854"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"MARTA NET","raw_affiliation_strings":["Departament de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, M\u00f2dul B4. Campus Nord 08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, M\u00f2dul B4. Campus Nord 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074218962","display_name":"J. S\u00e1nchez","orcid":"https://orcid.org/0000-0002-3271-8012"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"JUAN S\u00c1NCHEZ","raw_affiliation_strings":["Departament de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, M\u00f2dul B4. Campus Nord 08034 Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya, M\u00f2dul B4. Campus Nord 08034 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.0712349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"15","issue":"12","first_page":"3953","last_page":"3972"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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"}},"topics":[{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.993399977684021,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/floquet-theory","display_name":"Floquet theory","score":0.6396191120147705},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5814486145973206},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5465701222419739},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5161393880844116},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.49337974190711975},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.48711657524108887},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4553970396518707},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4533793032169342},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44579246640205383},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4434780180454254},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42088085412979126},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2565006613731384},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.19420090317726135},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1845141053199768},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08697134256362915}],"concepts":[{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.6396191120147705},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5814486145973206},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5465701222419739},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5161393880844116},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.49337974190711975},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.48711657524108887},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4553970396518707},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4533793032169342},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44579246640205383},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4434780180454254},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42088085412979126},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2565006613731384},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.19420090317726135},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1845141053199768},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08697134256362915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127405014404","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405014404","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1483425272","https://openalex.org/W1980278872","https://openalex.org/W1981371490","https://openalex.org/W1982161734","https://openalex.org/W1988561680","https://openalex.org/W1994319527","https://openalex.org/W1997118891","https://openalex.org/W2011547528","https://openalex.org/W2035838833","https://openalex.org/W2042546620","https://openalex.org/W2045715832","https://openalex.org/W2050414905","https://openalex.org/W2051052704","https://openalex.org/W2056958688","https://openalex.org/W2079878055","https://openalex.org/W2080381987","https://openalex.org/W2082316787","https://openalex.org/W2112269139","https://openalex.org/W2123643035","https://openalex.org/W2126556108","https://openalex.org/W4206651839"],"related_works":["https://openalex.org/W2538665745","https://openalex.org/W2131010584","https://openalex.org/W2534258575","https://openalex.org/W2288411364","https://openalex.org/W2801124336","https://openalex.org/W2366232213","https://openalex.org/W1989070621","https://openalex.org/W1986308322","https://openalex.org/W1968269471","https://openalex.org/W2017767992"],"abstract_inverted_index":{"Numerical":[0],"simulations":[1],"of":[2,23,29,35,49,54,92,112,127],"two-dimensional":[3],"Boussinesq":[4],"thermal":[5],"convection":[6],"in":[7,73,132],"a":[8,87,104,110],"long":[9],"cylindrical":[10],"annulus":[11],"with":[12],"radial":[13],"gravity":[14],"and":[15,26,37,125],"heating":[16],"are":[17],"used":[18],"to":[19,41,86],"study":[20],"the":[21,24,30,33,47,50,81,96,122,128],"influence":[22],"reflection":[25],"rotation":[27],"symmetries":[28,71],"system":[31],"on":[32],"sequence":[34],"local":[36],"global":[38],"bifurcations":[39],"leading":[40],"complex":[42],"time":[43],"dependent":[44],"behavior.":[45],"From":[46],"results":[48],"linear":[51],"stability":[52],"analysis":[53],"symmetric":[55],"periodic":[56,129],"orbits,":[57],"it":[58],"is":[59,77,107,135],"shown":[60,79],"how,":[61],"via":[62],"gluing":[63],"bifurcations,":[64],"some":[65],"quasi-periodic":[66,98],"flows":[67],"recover,":[68],"as":[69],"sets,":[70],"lost":[72],"previous":[74],"bifurcations.":[75],"It":[76],"also":[78],"how":[80],"same":[82],"mechanism":[83],"gives":[84],"rise":[85],"temporal":[88],"chaotic":[89],"attractor":[90],"consisting":[91],"random":[93],"switches":[94],"between":[95],"symmetry-conjugate":[97],"orbits.":[99],"At":[100],"higher":[101],"Rayleigh":[102],"numbers,":[103],"chaotic-drifting":[105],"behavior":[106],"found":[108],"when":[109],"circle":[111],"invariant":[113],"tori":[114],"loses":[115],"stability.":[116],"In":[117],"addition,":[118],"detailed":[119],"information":[120],"about":[121],"Floquet":[123],"multipliers":[124],"eigenfunctions":[126],"orbits":[130],"involved":[131],"this":[133],"dynamics":[134],"supplied.":[136]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
