{"id":"https://openalex.org/W3042965481","doi":null,"title":"Using Lyapunov Vectors to Quantify Spatiotemporal Chaos in Rayleigh-Benard Convection","display_name":"Using Lyapunov Vectors to Quantify Spatiotemporal Chaos in Rayleigh-Benard Convection","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W3042965481","mag":"3042965481"},"language":"en","primary_location":{"id":"mag:3042965481","doi":null,"is_oa":false,"landing_page_url":"https://ui.adsabs.harvard.edu/abs/2012APS..DFD.F1085X/abstract","pdf_url":null,"source":{"id":"https://openalex.org/S4306502653","display_name":"APS","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"APS","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5113820172","display_name":"Mu Xu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mu Xu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Alireza Karimi","orcid":"https://orcid.org/0000-0003-4232-3695","observed_orcids":["https://orcid.org/0000-0003-4232-3695"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alireza Karimi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4232-3695","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015088981","display_name":"Jeffrey Tithof","orcid":"https://orcid.org/0000-0003-2083-0901","observed_orcids":["https://orcid.org/0000-0003-2083-0901"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jeffrey Tithof","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2083-0901","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087618979","display_name":"Miro Kramar","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miro Kramar","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069873248","display_name":"Vidit Nanda","orcid":"https://orcid.org/0000-0001-9243-6749","observed_orcids":["https://orcid.org/0000-0001-9243-6749"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vidit Nanda","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9243-6749","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018803610","display_name":"Michael F. Schatz","orcid":"https://orcid.org/0000-0003-2768-8688","observed_orcids":["https://orcid.org/0000-0003-2768-8688"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael F. Schatz","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2768-8688","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049298090","display_name":"Konstantin Mischaikow","orcid":"https://orcid.org/0000-0003-2876-4558","observed_orcids":["https://orcid.org/0000-0003-2876-4558"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Konstantin Mischaikow","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2876-4558","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044750174","display_name":"Mark R. Paul","orcid":"https://orcid.org/0000-0002-0701-1955","observed_orcids":["https://orcid.org/0000-0002-0701-1955"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mark Paul","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0701-1955","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.42358438,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.6973000168800354,"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"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.6973000168800354,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.20020000636577606,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.0284000001847744,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-vectors","display_name":"Lyapunov vectors","score":0.9810000061988831},{"id":"https://openalex.org/keywords/spatiotemporal-chaos","display_name":"spatiotemporal chaos","score":0.9850000143051147},{"id":"https://openalex.org/keywords/rayleigh-benard-convection","display_name":"Rayleigh-B\u00e9nard convection","score":0.9739999771118164},{"id":"https://openalex.org/keywords/chaotic-dynamics","display_name":"chaotic dynamics","score":0.4090000092983246},{"id":"https://openalex.org/keywords/thermal-convection","display_name":"thermal convection","score":0.3659999966621399},{"id":"https://openalex.org/keywords/lyapunov-exponents","display_name":"Lyapunov exponents","score":0.7039999961853027}],"concepts":[{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.7359521389007568},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.6254003047943115},{"id":"https://openalex.org/C95518870","wikidata":"https://www.wikidata.org/wiki/Q49315702","display_name":"Control of chaos","level":5,"score":0.5019538402557373},{"id":"https://openalex.org/C132812236","wikidata":"https://www.wikidata.org/wiki/Q1019460","display_name":"Rayleigh\u2013B\u00e9nard convection","level":5,"score":0.4900749921798706},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.48208552598953247},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4309622049331665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3981580138206482},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.3956168293952942},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3873976469039917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37741225957870483},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3340889811515808},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3194319009780884},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.31666743755340576},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3141154944896698},{"id":"https://openalex.org/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.2655552327632904},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.23083290457725525},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.2153085470199585},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17692989110946655},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14144450426101685},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07073435187339783},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3042965481","doi":null,"is_oa":false,"landing_page_url":"https://ui.adsabs.harvard.edu/abs/2012APS..DFD.F1085X/abstract","pdf_url":null,"source":{"id":"https://openalex.org/S4306502653","display_name":"APS","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"APS","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2597363215","https://openalex.org/W2249786889","https://openalex.org/W2993169667","https://openalex.org/W3043236996","https://openalex.org/W2601783667","https://openalex.org/W2599620996","https://openalex.org/W2918403158","https://openalex.org/W7095153027","https://openalex.org/W2801417999","https://openalex.org/W2992357481"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2020-07-23T00:00:00"}
