{"id":"https://openalex.org/W1976099504","doi":"https://doi.org/10.1142/s0218127412300194","title":"BEHAVIOR PATTERNS IN MULTIPARAMETRIC DYNAMICAL SYSTEMS: LORENZ MODEL","display_name":"BEHAVIOR PATTERNS IN MULTIPARAMETRIC DYNAMICAL SYSTEMS: LORENZ MODEL","publication_year":2012,"publication_date":"2012-04-24","ids":{"openalex":"https://openalex.org/W1976099504","doi":"https://doi.org/10.1142/s0218127412300194","mag":"1976099504"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412300194","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412300194","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/A5051800118","display_name":"Roberto Barrio","orcid":"https://orcid.org/0000-0002-8089-343X"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"ROBERTO BARRIO","raw_affiliation_strings":["IUMA and GME, Departamento de Matem\u00e1tica Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"IUMA and GME, Departamento de Matem\u00e1tica Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046919513","display_name":"Fernando Blesa","orcid":"https://orcid.org/0000-0001-5484-6536"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"FERNANDO BLESA","raw_affiliation_strings":["GME, Departamento de F\u00edsica Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"GME, Departamento de F\u00edsica Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057043825","display_name":"Sergio Serrano","orcid":"https://orcid.org/0000-0002-5701-1670"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"SERGIO SERRANO","raw_affiliation_strings":["IUMA and GME, Departamento de Matem\u00e1tica Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain"],"affiliations":[{"raw_affiliation_string":"IUMA and GME, Departamento de Matem\u00e1tica Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051800118"],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":null,"apc_paid":null,"fwci":1.20226074,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.78546496,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"06","first_page":"1230019","last_page":"1230019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9983000159263611,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9940999746322632,"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":0.9866999983787537,"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/attractor","display_name":"Attractor","score":0.726694643497467},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6812933087348938},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.6581280827522278},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6464635133743286},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.6148789525032043},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5580840110778809},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.549419641494751},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.536831796169281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4999420642852783},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.4788903295993805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.423639178276062},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4198170602321625},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4131503999233246},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3569942116737366},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34561586380004883},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2679104804992676},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23954439163208008},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19918793439865112},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1344437301158905},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07126280665397644}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.726694643497467},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6812933087348938},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.6581280827522278},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6464635133743286},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.6148789525032043},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5580840110778809},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.549419641494751},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.536831796169281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4999420642852783},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.4788903295993805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.423639178276062},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4198170602321625},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4131503999233246},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3569942116737366},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34561586380004883},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2679104804992676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23954439163208008},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19918793439865112},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1344437301158905},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07126280665397644},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412300194","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412300194","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":25,"referenced_works":["https://openalex.org/W1582770960","https://openalex.org/W1970497684","https://openalex.org/W1978916491","https://openalex.org/W1989097268","https://openalex.org/W1990774783","https://openalex.org/W1997080465","https://openalex.org/W2005785961","https://openalex.org/W2022382501","https://openalex.org/W2023618328","https://openalex.org/W2035695789","https://openalex.org/W2058099048","https://openalex.org/W2063618362","https://openalex.org/W2103299535","https://openalex.org/W2126933998","https://openalex.org/W2141394518","https://openalex.org/W2154742871","https://openalex.org/W2155969015","https://openalex.org/W2156267132","https://openalex.org/W2159381661","https://openalex.org/W2999385695","https://openalex.org/W3100115818","https://openalex.org/W3106534923","https://openalex.org/W4231102510","https://openalex.org/W4252639814","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4289542543","https://openalex.org/W2891065597","https://openalex.org/W3158046166","https://openalex.org/W1509796342","https://openalex.org/W1742246664","https://openalex.org/W2033042940","https://openalex.org/W2089902280","https://openalex.org/W2145782975","https://openalex.org/W2810701175","https://openalex.org/W2095454919"],"abstract_inverted_index":{"In":[0,33],"experimental":[1],"and":[2,30],"theoretical":[3],"studies":[4],"of":[5,21,42,57,60,74,112],"Dynamical":[6],"Systems,":[7],"there":[8],"are":[9],"usually":[10],"several":[11],"parameters":[12],"that":[13,38,108],"govern":[14],"the":[15,22,58,61,71,75,94,113,120],"models.":[16],"Thus,":[17],"a":[18,39,54,80],"detailed":[19],"study":[20],"global":[23,55,81],"parametric":[24],"phase":[25],"space":[26],"is":[27],"not":[28],"easy":[29],"normally":[31],"unachievable.":[32],"this":[34,68],"paper,":[35],"we":[36,102],"show":[37],"careful":[40],"selection":[41],"one":[43,99],"straight":[44,100],"line":[45],"(or":[46],"other":[47,90],"1D":[48],"manifold)":[49],"permits":[50],"us":[51],"to":[52,106],"obtain":[53],"idea":[56],"evolution":[59],"system":[62],"in":[63,89,98],"some":[64],"circumstances.":[65],"We":[66],"illustrate":[67],"fact":[69],"with":[70],"paradigmatic":[72],"example":[73],"Lorenz":[76],"model,":[77],"based":[78],"on":[79,119],"study,":[82],"changing":[83],"all":[84,93],"three":[85],"parameters.":[86],"Besides,":[87],"searching":[88],"regions,":[91],"for":[92],"detected":[95],"behavior":[96],"patterns":[97],"line,":[101],"have":[103],"been":[104],"able":[105],"see":[107],"missing":[109],"topological":[110],"structures":[111],"chaotic":[114],"attractors":[115],"may":[116],"be":[117],"found":[118],"chaotic-saddles.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
