{"id":"https://openalex.org/W4404861330","doi":"https://doi.org/10.1142/s0218127424502018","title":"Chaos and Regularity in the Double Pendulum with Lagrangian Descriptors","display_name":"Chaos and Regularity in the Double Pendulum with Lagrangian Descriptors","publication_year":2024,"publication_date":"2024-11-28","ids":{"openalex":"https://openalex.org/W4404861330","doi":"https://doi.org/10.1142/s0218127424502018"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127424502018","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424502018","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/A5114886595","display_name":"Javier Jim\u00e9nez-L\u00f3pez","orcid":null},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Javier Jim\u00e9nez-L\u00f3pez","raw_affiliation_strings":["Departamento de F\u00edsica y Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, 28805 Alcal\u00e1 de Henares, Madrid, Spain"],"raw_orcid":"https://orcid.org/0009-0008-1498-246X","affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica y Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, 28805 Alcal\u00e1 de Henares, Madrid, Spain","institution_ids":["https://openalex.org/I189268942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068083392","display_name":"V\u00edctor J. Garc\u00eda\u2010Garrido","orcid":"https://orcid.org/0000-0003-0557-3193"},"institutions":[{"id":"https://openalex.org/I189268942","display_name":"Universidad de Alcal\u00e1","ror":"https://ror.org/04pmn0e78","country_code":"ES","type":"education","lineage":["https://openalex.org/I189268942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"V\u00edctor J. Garc\u00eda-Garrido","raw_affiliation_strings":["Departamento de F\u00edsica y Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, 28805 Alcal\u00e1 de Henares, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0003-0557-3193","affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica y Matem\u00e1ticas, Facultad de Ciencias, Universidad de Alcal\u00e1, 28805 Alcal\u00e1 de Henares, Madrid, Spain","institution_ids":["https://openalex.org/I189268942"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5114886595"],"corresponding_institution_ids":["https://openalex.org/I189268942"],"apc_list":null,"apc_paid":null,"fwci":1.3023,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8023377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"34","issue":"16","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9882000088691711,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9882000088691711,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.668781578540802},{"id":"https://openalex.org/keywords/double-pendulum","display_name":"Double pendulum","score":0.6606882810592651},{"id":"https://openalex.org/keywords/pendulum","display_name":"Pendulum","score":0.6158037781715393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5777556896209717},{"id":"https://openalex.org/keywords/kapitzas-pendulum","display_name":"Kapitza's pendulum","score":0.5328887701034546},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5141685009002686},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.5044618844985962},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43596741557121277},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4012278914451599},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36006903648376465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3372804820537567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26420724391937256},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15786483883857727},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.1557328701019287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12746495008468628},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07047885656356812},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06203204393386841}],"concepts":[{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.668781578540802},{"id":"https://openalex.org/C167183279","wikidata":"https://www.wikidata.org/wiki/Q1243208","display_name":"Double pendulum","level":4,"score":0.6606882810592651},{"id":"https://openalex.org/C110639684","wikidata":"https://www.wikidata.org/wiki/Q20702","display_name":"Pendulum","level":2,"score":0.6158037781715393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5777556896209717},{"id":"https://openalex.org/C152442685","wikidata":"https://www.wikidata.org/wiki/Q4286430","display_name":"Kapitza's pendulum","level":5,"score":0.5328887701034546},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5141685009002686},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.5044618844985962},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43596741557121277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4012278914451599},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36006903648376465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3372804820537567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26420724391937256},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15786483883857727},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.1557328701019287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12746495008468628},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07047885656356812},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06203204393386841},{"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":"doi:10.1142/s0218127424502018","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424502018","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":41,"referenced_works":["https://openalex.org/W110826557","https://openalex.org/W1579858487","https://openalex.org/W1867384304","https://openalex.org/W1971705469","https://openalex.org/W1973408830","https://openalex.org/W1981214426","https://openalex.org/W2000200567","https://openalex.org/W2000252897","https://openalex.org/W2000280087","https://openalex.org/W2013051567","https://openalex.org/W2018308541","https://openalex.org/W2033070991","https://openalex.org/W2039671349","https://openalex.org/W2042508623","https://openalex.org/W2057001158","https://openalex.org/W2057076286","https://openalex.org/W2104251500","https://openalex.org/W2124472797","https://openalex.org/W2127143993","https://openalex.org/W2135425748","https://openalex.org/W2136808562","https://openalex.org/W2148089904","https://openalex.org/W2151358954","https://openalex.org/W2329727253","https://openalex.org/W2435445314","https://openalex.org/W2508817638","https://openalex.org/W2523068738","https://openalex.org/W2553815124","https://openalex.org/W2562150112","https://openalex.org/W2787894218","https://openalex.org/W2798265964","https://openalex.org/W2943987940","https://openalex.org/W3028592977","https://openalex.org/W3038023055","https://openalex.org/W3214707091","https://openalex.org/W4298009105","https://openalex.org/W4311140750","https://openalex.org/W4315589408","https://openalex.org/W4322761365","https://openalex.org/W4383215347","https://openalex.org/W4391385648"],"related_works":["https://openalex.org/W3090237748","https://openalex.org/W1988157353","https://openalex.org/W2527650984","https://openalex.org/W2605534565","https://openalex.org/W2149145472","https://openalex.org/W4300467530","https://openalex.org/W2949841909","https://openalex.org/W4390816033","https://openalex.org/W1963494060","https://openalex.org/W2031233537"],"abstract_inverted_index":{"In":[0],"this":[1,40],"paper,":[2],"we":[3,42,72,141],"apply":[4],"the":[5,15,23,27,35,50,67,79,89,94,102,105,111,124,135,149,154,159,162],"method":[6],"of":[7,20,26,37,47,93,104,128,153],"Lagrangian":[8],"descriptors":[9],"as":[10,88,96,98],"an":[11,166],"indicator":[12],"to":[13,100],"study":[14,76],"chaotic":[16,106,126,163],"and":[17,55,83,91,107,146,157],"regular":[18,108],"behaviors":[19],"trajectories":[21,131],"in":[22,52,110,151],"phase":[24,112,129],"space":[25,130],"classical":[28],"double":[29],"pendulum":[30],"system.":[31],"To":[32],"successfully":[33],"quantify":[34],"degree":[36],"chaos":[38,144],"with":[39],"tool,":[41],"first":[43],"derive":[44],"Hamilton\u2019s":[45],"equations":[46,69],"motion":[48],"for":[49,119],"problem":[51],"nondimensional":[53],"form":[54],"demonstrate":[56],"how":[57,143],"they":[58],"can":[59],"be":[60],"expressed":[61],"compactly":[62],"using":[63],"matrix":[64],"algebra.":[65],"Once":[66],"dynamical":[68],"are":[70],"obtained,":[71],"conduct":[73],"a":[74,120],"parametric":[75],"based":[77],"on":[78],"system\u2019s":[80],"total":[81],"energy":[82,171],"other":[84],"key":[85],"parameters":[86],"such":[87],"lengths":[90],"masses":[92],"pendulums,":[95],"well":[97],"gravity,":[99],"determine":[101],"extent":[103],"regions":[109],"space.":[113],"Our":[114],"numerical":[115],"results":[116],"reveal":[117],"that,":[118],"given":[121],"mass":[122],"ratio,":[123],"maximum":[125],"fraction":[127,164],"is":[132],"attained":[133],"when":[134],"pendulums":[136],"have":[137],"equal":[138],"lengths.":[139],"Furthermore,":[140],"characterize":[142],"grows":[145],"decays":[147],"within":[148],"system":[150],"terms":[152],"model":[155],"parameters,":[156],"explore":[158],"hypothesis":[160],"that":[161],"follows":[165],"exponential":[167],"law":[168],"over":[169],"different":[170],"regimes.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-15T08:27:34.491423","created_date":"2025-10-10T00:00:00"}
