{"id":"https://openalex.org/W4320020512","doi":"https://doi.org/10.1142/s0218127422502418","title":"Multistability Analysis of a Piecewise Map via Bifurcations","display_name":"Multistability Analysis of a Piecewise Map via Bifurcations","publication_year":2022,"publication_date":"2022-12-30","ids":{"openalex":"https://openalex.org/W4320020512","doi":"https://doi.org/10.1142/s0218127422502418"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127422502418","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422502418","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/A5042643331","display_name":"B. B. Cassal-Quiroga","orcid":"https://orcid.org/0000-0001-6122-4815"},"institutions":[{"id":"https://openalex.org/I196664497","display_name":"Autonomous University of San Luis Potos\u00ed","ror":"https://ror.org/000917t60","country_code":"MX","type":"education","lineage":["https://openalex.org/I196664497"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"B. B. Cassal-Quiroga","raw_affiliation_strings":["Facultad de Ciencias, Universidad Aut\u00f3noma de San Luis Potos\u00ed. Av. Chapultepec 1570, Priv. del Pedregal, 78295, San Luis Potos\u00ed, S. L. P., M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias, Universidad Aut\u00f3noma de San Luis Potos\u00ed. Av. Chapultepec 1570, Priv. del Pedregal, 78295, San Luis Potos\u00ed, S. L. P., M\u00e9xico","institution_ids":["https://openalex.org/I196664497"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031842287","display_name":"H. E. Gilardi-Vel\u00e1zquez","orcid":"https://orcid.org/0000-0002-4978-4526"},"institutions":[{"id":"https://openalex.org/I86613570","display_name":"Universidad Panamericana","ror":"https://ror.org/01n1q0h77","country_code":"MX","type":"education","lineage":["https://openalex.org/I86613570"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"H. E. Gilardi-Vel\u00e1zquez","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Panamericana, Josemar\u00eda Escriv\u00e1 de Balaguer 101, Aguascalientes, Aguascalientes 20290, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Panamericana, Josemar\u00eda Escriv\u00e1 de Balaguer 101, Aguascalientes, Aguascalientes 20290, M\u00e9xico","institution_ids":["https://openalex.org/I86613570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026628940","display_name":"E. Campos-Cant\u00f3n","orcid":"https://orcid.org/0000-0002-1098-1610"},"institutions":[{"id":"https://openalex.org/I147482076","display_name":"Institute for Scientific and Technological Research","ror":"https://ror.org/03sbzv212","country_code":"MX","type":"funder","lineage":["https://openalex.org/I147482076"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"E. Campos-Cant\u00f3n","raw_affiliation_strings":["Division of Control and Dynamical Systems, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica, Camino a la Presa San Jos\u00e9 2055, Col. Lomas 4ta, Secci\u00f3n 78216, San Luis Potos\u00ed, S. L. P., M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Control and Dynamical Systems, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica, Camino a la Presa San Jos\u00e9 2055, Col. Lomas 4ta, Secci\u00f3n 78216, San Luis Potos\u00ed, S. L. P., M\u00e9xico","institution_ids":["https://openalex.org/I147482076"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026628940"],"corresponding_institution_ids":["https://openalex.org/I147482076"],"apc_list":null,"apc_paid":null,"fwci":1.876,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.86170103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"32","issue":"16","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.9840530753135681},{"id":"https://openalex.org/keywords/bistability","display_name":"Bistability","score":0.7496744990348816},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7085350751876831},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.626838743686676},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.623649537563324},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.6127582788467407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.602520763874054},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5641205310821533},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5518494844436646},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5329915285110474},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.4627331495285034},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4054625332355499},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.368660032749176},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33611375093460083},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23615100979804993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19949662685394287},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19643813371658325},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07859474420547485}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9840530753135681},{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.7496744990348816},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7085350751876831},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.626838743686676},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.623649537563324},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.6127582788467407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.602520763874054},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5641205310821533},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5518494844436646},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5329915285110474},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.4627331495285034},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4054625332355499},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.368660032749176},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33611375093460083},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23615100979804993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19949662685394287},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19643813371658325},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07859474420547485},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127422502418","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422502418","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":[{"score":0.6600000262260437,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1900024119","https://openalex.org/W1966760449","https://openalex.org/W1969596580","https://openalex.org/W1985223860","https://openalex.org/W2012315426","https://openalex.org/W2020130477","https://openalex.org/W2023842267","https://openalex.org/W2029984615","https://openalex.org/W2034333369","https://openalex.org/W2038807279","https://openalex.org/W2044960135","https://openalex.org/W2066488587","https://openalex.org/W2083638376","https://openalex.org/W2102892532","https://openalex.org/W2106469506","https://openalex.org/W2187582773","https://openalex.org/W2318071957","https://openalex.org/W2407066569","https://openalex.org/W2475367852","https://openalex.org/W2489691424","https://openalex.org/W2517947924","https://openalex.org/W2586746011","https://openalex.org/W2784174492","https://openalex.org/W2805247396","https://openalex.org/W2809029697","https://openalex.org/W2897585487","https://openalex.org/W2901547378","https://openalex.org/W2910351448","https://openalex.org/W3015123559","https://openalex.org/W3098483384","https://openalex.org/W3098784191","https://openalex.org/W3124405301","https://openalex.org/W4226271860","https://openalex.org/W4248618139","https://openalex.org/W4285110209","https://openalex.org/W4308293964"],"related_works":["https://openalex.org/W2909196857","https://openalex.org/W2979445141","https://openalex.org/W2079805109","https://openalex.org/W4296910972","https://openalex.org/W2911469887","https://openalex.org/W2981713679","https://openalex.org/W2914314933","https://openalex.org/W4295540436","https://openalex.org/W3018094766","https://openalex.org/W2293961710"],"abstract_inverted_index":{"In":[0],"this":[1,46],"paper,":[2],"we":[3],"investigate":[4],"the":[5,15,28,32,39,66,73,79,87,131,138,144],"dynamical":[6],"behavior":[7],"of":[8,52,65,75,96,146,153],"a":[9,150],"one-dimensional":[10],"piecewise":[11],"map":[12],"based":[13],"on":[14],"logistic":[16],"map,":[17],"where":[18],"generalized":[19],"multistability":[20,123,147],"can":[21,48,107],"be":[22,108],"observed.":[23],"The":[24,62,118],"proposed":[25,67],"system":[26,47,68],"has":[27],"unique":[29],"property":[30],"that":[31,120],"function":[33],"is":[34,69,84,135,141],"symmetric":[35],"with":[36,143],"respect":[37],"to":[38,86,91,122],"origin":[40],"but":[41],"not":[42],"its":[43],"behavior,":[44],"furthermore":[45],"display":[49],"three":[50,94],"types":[51],"multistability,":[53],"and":[54,59,104,130],"chaos":[55],"for":[56,149],"both,":[57],"monostable":[58],"bistable":[60,76],"behaviors.":[61],"stability":[63],"analysis":[64],"presented.":[70],"We":[71],"describe":[72],"structure":[74],"regions":[77],"in":[78,114],"bifurcation":[80],"diagram.":[81],"Particular":[82],"attention":[83],"paid":[85],"chaotic":[88,105,116],"regions.":[89],"Corresponding":[90],"coexisting":[92,97,132],"attractors,":[93,98,106],"scenarios":[95],"namely":[99],"fixed":[100],"points,":[101],"periodic":[102],"orbits,":[103],"found,":[109],"which":[110],"are":[111],"unreported":[112],"behaviors":[113],"discrete":[115],"systems.":[117],"mechanism":[119],"leads":[121],"phenomenon":[124],"including":[125],"pitchfork":[126],"bifurcation,":[127],"period-halving":[128],"bifurcations,":[129],"invariant":[133],"sets":[134],"demonstrated.":[136],"Furthermore,":[137],"Lyapunov":[139],"exponent":[140],"analyzed":[142],"type":[145],"distinguished":[148],"given":[151],"set":[152],"parameters.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
