{"id":"https://openalex.org/W3198677770","doi":"https://doi.org/10.1155/2021/5559913","title":"Emergence of Hidden Attractors through the Rupture of Heteroclinic\u2010Like Orbits of Switched Systems with Self\u2010Excited Attractors","display_name":"Emergence of Hidden Attractors through the Rupture of Heteroclinic\u2010Like Orbits of Switched Systems with Self\u2010Excited Attractors","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3198677770","doi":"https://doi.org/10.1155/2021/5559913","mag":"3198677770"},"language":"en","primary_location":{"id":"doi:10.1155/2021/5559913","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/5559913","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/5559913.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/5559913.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013015633","display_name":"R. J. Escalante-Gonz\u00e1lez","orcid":"https://orcid.org/0000-0003-4253-2817"},"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":"R. J. Escalante-Gonz\u00e1lez","raw_affiliation_strings":["Electrical, Electronic and Mechatronics Department, Technological Institute of San Luis Potos\u00ed, Tecnol\u00f3gico Avenue, Soledad de Graciano S\u00e1nchez, San Luis Potos\u00ed 78437, Mexico"],"affiliations":[{"raw_affiliation_string":"Electrical, Electronic and Mechatronics Department, Technological Institute of San Luis Potos\u00ed, Tecnol\u00f3gico Avenue, Soledad de Graciano S\u00e1nchez, San Luis Potos\u00ed 78437, Mexico","institution_ids":["https://openalex.org/I147482076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113950226","display_name":"Eric Campos","orcid":null},"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"]},{"id":"https://openalex.org/I4210145267","display_name":"Institute for Scientific and Technological Research","ror":null,"country_code":"MX","type":null,"lineage":["https://openalex.org/I4210145267"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Eric Campos","raw_affiliation_strings":["Divisin de Control y Sistemas Dinmicos, Instituto Potosino de Investigacin Cientfica y Tecnolgica (IPICYT), Camino a La Presa San Jos 2055, Lomas 4 Seccin 78216, San Luis Potos, S.L.P., Mexico","Divisi\u00f3n de Control y Sistemas Din\u00e1micos, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica (IPICYT), Camino a La Presa San Jos\u00e9 2055, Lomas 4 Secci\u00f3n 78216, San Luis Potos\u00ed, S.L.P., Mexico"],"affiliations":[{"raw_affiliation_string":"Divisin de Control y Sistemas Dinmicos, Instituto Potosino de Investigacin Cientfica y Tecnolgica (IPICYT), Camino a La Presa San Jos 2055, Lomas 4 Seccin 78216, San Luis Potos, S.L.P., Mexico","institution_ids":["https://openalex.org/I4210145267"]},{"raw_affiliation_string":"Divisi\u00f3n de Control y Sistemas Din\u00e1micos, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica (IPICYT), Camino a La Presa San Jos\u00e9 2055, Lomas 4 Secci\u00f3n 78216, San Luis Potos\u00ed, S.L.P., Mexico","institution_ids":["https://openalex.org/I147482076"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013015633"],"corresponding_institution_ids":["https://openalex.org/I147482076"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.96,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7736044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"2021","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994000196456909,"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/T10244","display_name":"Chaos control and synchronization","score":0.9986000061035156,"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":0.9933000206947327,"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/attractor","display_name":"Attractor","score":0.9471250772476196},{"id":"https://openalex.org/keywords/excited-state","display_name":"Excited state","score":0.5863308906555176},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4881766438484192},{"id":"https://openalex.org/keywords/heteroclinic-cycle","display_name":"Heteroclinic cycle","score":0.4737967848777771},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.412891685962677},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3967924416065216},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3378588557243347},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33591142296791077},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3169121742248535},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1190953254699707},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11724847555160522},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.05649825930595398}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.9471250772476196},{"id":"https://openalex.org/C181500209","wikidata":"https://www.wikidata.org/wiki/Q215328","display_name":"Excited state","level":2,"score":0.5863308906555176},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4881766438484192},{"id":"https://openalex.org/C142115181","wikidata":"https://www.wikidata.org/wiki/Q16948232","display_name":"Heteroclinic cycle","level":5,"score":0.4737967848777771},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.412891685962677},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3967924416065216},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3378588557243347},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33591142296791077},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3169121742248535},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1190953254699707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11724847555160522},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.05649825930595398},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/5559913","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/5559913","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/5559913.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:5559913","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/5559913.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:ea34914315f344ec9de222580a3ff54a","is_oa":true,"landing_page_url":"https://doaj.org/article/ea34914315f344ec9de222580a3ff54a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/5559913","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/5559913","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/5559913.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1758888539","display_name":null,"funder_award_id":"A1-S-30433","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G2681772027","display_name":null,"funder_award_id":"Project No. A1-S-30433","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G3874924992","display_name":null,"funder_award_id":"A1-S-30433.","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"},{"id":"https://openalex.org/G6958583472","display_name":null,"funder_award_id":"A1-S-","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3198677770.pdf","grobid_xml":"https://content.openalex.org/works/W3198677770.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1207136572","https://openalex.org/W1976791164","https://openalex.org/W1990987436","https://openalex.org/W1992118095","https://openalex.org/W1994859578","https://openalex.org/W2009483907","https://openalex.org/W2012285261","https://openalex.org/W2015769661","https://openalex.org/W2036009506","https://openalex.org/W2040069863","https://openalex.org/W2053986141","https://openalex.org/W2104555619","https://openalex.org/W2127342269","https://openalex.org/W2141662965","https://openalex.org/W2165801592","https://openalex.org/W2219180051","https://openalex.org/W2293773556","https://openalex.org/W2408502140","https://openalex.org/W2478131568","https://openalex.org/W2489257838","https://openalex.org/W2503731677","https://openalex.org/W2522102844","https://openalex.org/W2538796901","https://openalex.org/W2615011810","https://openalex.org/W2767812201","https://openalex.org/W2784174492","https://openalex.org/W2964079314","https://openalex.org/W3017316433","https://openalex.org/W3034837181","https://openalex.org/W3098483384","https://openalex.org/W3100468056","https://openalex.org/W3126094586"],"related_works":["https://openalex.org/W3049714198","https://openalex.org/W2960434112","https://openalex.org/W2351392069","https://openalex.org/W2036805113","https://openalex.org/W4394881964","https://openalex.org/W2592279130","https://openalex.org/W2049158118","https://openalex.org/W2123827981","https://openalex.org/W4205994410","https://openalex.org/W2967423941"],"abstract_inverted_index":{"This":[0],"work":[1],"is":[2,92,110],"dedicated":[3],"to":[4,74,77],"the":[5,12,29,32,45,52,56,75,88,99,102,111,114,122,129,144,150],"study":[6],"of":[7,14,21,34,51,55,58,64,101,108,113,125,131,146],"an":[8],"approach":[9,30,53],"that":[10,41,94,116,120,127],"allows":[11],"generation":[13,57],"hidden":[15,38,42,103,148,157],"attractors":[16,36,39,43,60],"based":[17,61],"on":[18,62,139],"a":[19,79,83,95,140,147,153],"class":[20,107],"piecewise\u2010linear":[22],"(PWL)":[23],"systems.":[24],"The":[25,48],"systems":[26,109],"produced":[27],"with":[28,66,82,87,156],"present":[31],"coexistence":[33],"self\u2010excited":[35,46,59,85,159],"and":[37,158],"such":[40],"surround":[44,128],"attractors.":[47,160],"first":[49],"part":[50],"consists":[54],"pairs":[63,130],"equilibria":[65,71,136],"heteroclinic":[67,118],"orbits.":[68],"Then,":[69],"additional":[70],"are":[72],"added":[73],"system":[76,81,151],"obtain":[78],"bistable":[80],"second":[84],"attractor":[86,104],"same":[89],"characteristics.":[90],"It":[91],"conjectured":[93],"necessary":[96],"condition":[97],"for":[98],"existence":[100],"in":[105],"this":[106],"rupture":[112],"trajectories":[115],"resemble":[117,135],"orbits":[119],"join":[121],"two":[123],"regions":[124,134],"space":[126],"equilibria;":[132],"these":[133],"when":[137],"seen":[138],"larger":[141],"scale.":[142],"With":[143],"appearance":[145],"attractor,":[149],"presents":[152],"multistable":[154],"behavior":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}