{"id":"https://openalex.org/W2015957103","doi":"https://doi.org/10.1142/s0218127405012612","title":"A SYMMETRIC PIECEWISE-LINEAR CHAOTIC SYSTEM WITH A SINGLE EQUILIBRIUM POINT","display_name":"A SYMMETRIC PIECEWISE-LINEAR CHAOTIC SYSTEM WITH A SINGLE EQUILIBRIUM POINT","publication_year":2005,"publication_date":"2005-04-01","ids":{"openalex":"https://openalex.org/W2015957103","doi":"https://doi.org/10.1142/s0218127405012612","mag":"2015957103"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405012612","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012612","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":true,"oa_status":"green","oa_url":"https://doi.org/10.1142/S0218127405012612","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038079114","display_name":"Rafael Gonz\u00e1lez L\u00f3pez","orcid":null},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"RAFAEL GONZ\u00c1LEZ L\u00d3PEZ","raw_affiliation_strings":["Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066800342","display_name":"Manuel Prian Rodr\u00edguez","orcid":null},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"MANUEL PRIAN RODR\u00cdGUEZ","raw_affiliation_strings":["Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030015666","display_name":"Miguel \u00c1ngel Fern\u00e1ndez Granero","orcid":"https://orcid.org/0000-0003-0482-2119"},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"MIGUEL A. FERN\u00c1NDEZ GRANERO","raw_affiliation_strings":["Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062494650","display_name":"Juan L. Rojas Ojeda","orcid":null},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"JUAN L. ROJAS OJEDA","raw_affiliation_strings":["Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042836760","display_name":"Eduardo Romero Bruz\u00f3n","orcid":null},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"EDUARDO ROMERO BRUZ\u00d3N","raw_affiliation_strings":["Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Departamento de Ingenier\u00eda de Sistemas y Autom\u00e1tica, Tecnolog\u00eda Electr\u00f3nica y Electr\u00f3nica, Escuela Superior de Ingenier\u00eda, Universidad de C\u00e1diz, C/Chile, n\u00b0 1, 11002 C\u00e1diz, Spain","institution_ids":["https://openalex.org/I39147953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I39147953"],"apc_list":null,"apc_paid":null,"fwci":0.2268,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.52774671,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"15","issue":"04","first_page":"1411","last_page":"1415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9955000281333923,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9911999702453613,"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/chaotic","display_name":"Chaotic","score":0.6616829633712769},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.616011381149292},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5957013368606567},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.568598747253418},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5670808553695679},{"id":"https://openalex.org/keywords/phase-plane","display_name":"Phase plane","score":0.5561363697052002},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.535436749458313},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.5287273526191711},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5103220343589783},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.4977624714374542},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.4844484329223633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4584081470966339},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.4568548798561096},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4198853373527527},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3326304256916046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29308822751045227},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24517008662223816},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13197699189186096},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07876959443092346}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6616829633712769},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.616011381149292},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5957013368606567},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.568598747253418},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5670808553695679},{"id":"https://openalex.org/C157626765","wikidata":"https://www.wikidata.org/wiki/Q2088081","display_name":"Phase plane","level":3,"score":0.5561363697052002},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.535436749458313},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5287273526191711},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5103220343589783},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.4977624714374542},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.4844484329223633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4584081470966339},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.4568548798561096},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4198853373527527},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3326304256916046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29308822751045227},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24517008662223816},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13197699189186096},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07876959443092346},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127405012612","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012612","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"},{"id":"pmh:oai:zenodo.org:14788632","is_oa":true,"landing_page_url":"https://doi.org/10.1142/S0218127405012612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, 15, (2005)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:14788632","is_oa":true,"landing_page_url":"https://doi.org/10.1142/S0218127405012612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos, 15, (2005)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.5099999904632568,"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":8,"referenced_works":["https://openalex.org/W1999349800","https://openalex.org/W2021835462","https://openalex.org/W2041291429","https://openalex.org/W2060592270","https://openalex.org/W2084730754","https://openalex.org/W2090007880","https://openalex.org/W2114810947","https://openalex.org/W4238105754"],"related_works":["https://openalex.org/W2046456262","https://openalex.org/W2623381607","https://openalex.org/W3198888254","https://openalex.org/W2054889292","https://openalex.org/W2185689080","https://openalex.org/W2045969073","https://openalex.org/W2368165912","https://openalex.org/W2350371552","https://openalex.org/W2093909018","https://openalex.org/W1760827084"],"abstract_inverted_index":{"In":[0,20],"this":[1],"paper,":[2],"we":[3,74],"propose":[4],"a":[5,27,77,85],"new":[6],"autonomous":[7],"electronic":[8],"oscillator":[9],"designed":[10],"with":[11,76],"some":[12],"modifications":[13],"of":[14,50,80],"the":[15,21,29,32,43,48,55,58,81],"well-known":[16],"Wien":[17],"bridge":[18],"oscillator.":[19],"mathematical":[22],"model":[23],"planned":[24],"for":[25,67],"such":[26],"circuit,":[28],"nonlinearity":[30],"in":[31],"operational":[33],"amplifier":[34],"saturation":[35],"is":[36,40],"considered":[37],"and":[38,70],"reference":[39],"made":[41],"to":[42],"only":[44],"equilibrium":[45],"point":[46],"at":[47],"origin":[49],"phase-space.":[51],"We":[52],"show":[53],"how":[54],"relation":[56],"between":[57],"bifurcation":[59],"parameters":[60,86],"starts":[61],"stable":[62],"oscillations,":[63],"providing":[64],"an":[65],"example":[66],"chaotic":[68],"behavior":[69],"bifurcations":[71],"diagrams.":[72],"Finally,":[73],"conclude":[75],"brief":[78],"summary":[79],"oscillators":[82],"operation":[83],"using":[84],"plane.":[87]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
