{"id":"https://openalex.org/W2150589658","doi":"https://doi.org/10.1142/s0218127412502677","title":"MULTIPLE ATTRACTORS AND BIFURCATIONS IN HARD OSCILLATORS DRIVEN BY CONSTANT INPUTS","display_name":"MULTIPLE ATTRACTORS AND BIFURCATIONS IN HARD OSCILLATORS DRIVEN BY CONSTANT INPUTS","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W2150589658","doi":"https://doi.org/10.1142/s0218127412502677","mag":"2150589658"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412502677","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502677","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/A5111642424","display_name":"V. Lanza","orcid":null},"institutions":[{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4392021130","display_name":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es du Havre","ror":"https://ror.org/017vnhv07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4392021130"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"VALENTINA LANZA","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Appliqu\u00e9es du Havre, Universit\u00e9 du Havre, 25, rue Philippe Lebon, Le Havre, FR-76058, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es du Havre, Universit\u00e9 du Havre, 25, rue Philippe Lebon, Le Havre, FR-76058, France","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4210155549","https://openalex.org/I4392021130"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029398557","display_name":"Linda Ponta","orcid":"https://orcid.org/0000-0002-8997-6207"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"LINDA PONTA","raw_affiliation_strings":["Research Center on Organization, Economics and Management, (DOGE.I-CINEF), University of Genoa, Via Opera Pia 11, Genoa, I-16145, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Center on Organization, Economics and Management, (DOGE.I-CINEF), University of Genoa, Via Opera Pia 11, Genoa, I-16145, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053494231","display_name":"Michele Bonnin","orcid":"https://orcid.org/0000-0002-9106-563X"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"MICHELE BONNIN","raw_affiliation_strings":["Department of Electronics and Telecommunications, Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, I-10129, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, I-10129, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016472360","display_name":"Fernando Corinto","orcid":"https://orcid.org/0000-0003-4431-5701"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"FERNANDO CORINTO","raw_affiliation_strings":["Department of Electronics and Telecommunications, Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, I-10129, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Telecommunications, Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, I-10129, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.19710858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"22","issue":"11","first_page":"1250267","last_page":"1250267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8285095691680908},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.7630791664123535},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.7540887594223022},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6477683782577515},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.6161613464355469},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6014449596405029},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5654076933860779},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.518390953540802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4981875419616699},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.4679136872291565},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4565735161304474},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.43330082297325134},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.41800954937934875},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.410488098859787},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36389368772506714},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3057807385921478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29704323410987854},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2608652710914612},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19278869032859802},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10030382871627808}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8285095691680908},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.7630791664123535},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.7540887594223022},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6477683782577515},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.6161613464355469},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6014449596405029},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5654076933860779},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.518390953540802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4981875419616699},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.4679136872291565},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4565735161304474},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.43330082297325134},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.41800954937934875},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.410488098859787},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36389368772506714},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3057807385921478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29704323410987854},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2608652710914612},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19278869032859802},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10030382871627808},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127412502677","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502677","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:iris.unige.it:11567/787598","is_oa":false,"landing_page_url":"http://hdl.handle.net/11567/787598","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309723","display_name":"Fondazione CRT","ror":"https://ror.org/00fgmmg43"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W1496801598","https://openalex.org/W1542177822","https://openalex.org/W1576838367","https://openalex.org/W1596321532","https://openalex.org/W1973810496","https://openalex.org/W1985940938","https://openalex.org/W2003743055","https://openalex.org/W2009375605","https://openalex.org/W2010509413","https://openalex.org/W2025973190","https://openalex.org/W2046424015","https://openalex.org/W2061191702","https://openalex.org/W2079133700","https://openalex.org/W2089876099","https://openalex.org/W2107316027","https://openalex.org/W2119443761","https://openalex.org/W2149525340","https://openalex.org/W2163057446","https://openalex.org/W4214617048","https://openalex.org/W4235488236","https://openalex.org/W4248666415"],"related_works":["https://openalex.org/W4290989817","https://openalex.org/W2923981205","https://openalex.org/W4225546350","https://openalex.org/W2025138898","https://openalex.org/W3023422590","https://openalex.org/W2102865807","https://openalex.org/W2021742636","https://openalex.org/W2546487931","https://openalex.org/W2168886926","https://openalex.org/W3008253414"],"abstract_inverted_index":{"Hard":[0],"oscillators":[1],"are":[2,82],"dynamical":[3],"systems":[4],"that":[5],"show":[6],"the":[7,14,23,50,58,70,74,78,84,137],"coexistence":[8],"of":[9,16,25,36,52,60,118,134],"qualitatively":[10],"different":[11,33,88,116],"attractors,":[12],"in":[13,110],"form":[15],"limit":[17,42,97],"cycles":[18],"and":[19,77,99,123],"equilibrium":[20],"points.":[21],"In":[22],"presence":[24],"external":[26,63],"inputs":[27],"their":[28],"dynamic":[29],"behavior":[30],"is":[31,66],"significantly":[32],"from":[34],"those":[35],"oscillators,":[37],"called":[38],"soft,":[39],"with":[40],"a":[41,53,61,108,132],"cycle":[43,98],"as":[44,94,112],"unique":[45],"attractor.":[46],"This":[47],"paper":[48],"studies":[49],"dynamics":[51],"simple":[54],"hard":[55],"oscillator":[56],"under":[57,104],"influence":[59],"constant":[62],"input.":[64],"It":[65,129],"shown":[67],"that,":[68],"despite":[69],"apparent":[71],"simplicity,":[72],"when":[73],"input":[75],"strength":[76],"oscillator's":[79],"natural":[80],"frequency":[81],"varied":[83],"system":[85],"exhibits":[86,114],"many":[87],"bifurcation":[89],"phenomena,":[90],"including":[91],"global":[92],"bifurcations":[93],"saddle-node":[95],"on":[96],"homoclinic":[100],"bifurcations.":[101],"The":[102],"model":[103],"investigation":[105],"can":[106],"play":[107],"role":[109],"neuroscience,":[111],"it":[113],"two":[115,138],"mechanisms":[117],"class":[119,127],"I":[120],"neural":[121],"excitability":[122],"one":[124],"mechanism":[125,133],"for":[126],"II.":[128],"also":[130],"highlights":[131],"transition":[135],"between":[136],"classes.":[139]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
