{"id":"https://openalex.org/W2076548016","doi":"https://doi.org/10.1142/s0218127414501132","title":"Stability Switches and Bifurcation Analysis of a Time Delay Model for the Diffusion of a New Technology","display_name":"Stability Switches and Bifurcation Analysis of a Time Delay Model for the Diffusion of a New Technology","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2076548016","doi":"https://doi.org/10.1142/s0218127414501132","mag":"2076548016"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127414501132","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414501132","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/A5014927473","display_name":"Luca Vincenzo Ballestra","orcid":"https://orcid.org/0000-0001-7205-6319"},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Vincenzo Ballestra","raw_affiliation_strings":["Department of Economics, Second University of Naples, Capua 81043, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics, Second University of Naples, Capua 81043, Italy","institution_ids":["https://openalex.org/I197809005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084677619","display_name":"Luca Guerrini","orcid":"https://orcid.org/0000-0001-8489-5531"},"institutions":[{"id":"https://openalex.org/I122534668","display_name":"Marche Polytechnic University","ror":"https://ror.org/00x69rs40","country_code":"IT","type":"education","lineage":["https://openalex.org/I122534668"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Guerrini","raw_affiliation_strings":["Department of Management, Polytechnic University of Marche, Ancona 60121, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management, Polytechnic University of Marche, Ancona 60121, Italy","institution_ids":["https://openalex.org/I122534668"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013486616","display_name":"Graziella Pacelli","orcid":"https://orcid.org/0000-0001-8869-2504"},"institutions":[{"id":"https://openalex.org/I122534668","display_name":"Marche Polytechnic University","ror":"https://ror.org/00x69rs40","country_code":"IT","type":"education","lineage":["https://openalex.org/I122534668"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Graziella Pacelli","raw_affiliation_strings":["Department of Management, Polytechnic University of Marche, Ancona 60121, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management, Polytechnic University of Marche, Ancona 60121, Italy","institution_ids":["https://openalex.org/I122534668"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6807,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86068621,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"24","issue":"09","first_page":"1450113","last_page":"1450113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9807000160217285,"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":0.9517999887466431,"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/center-manifold","display_name":"Center manifold","score":0.8736927509307861},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7740154266357422},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6740259528160095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.661150336265564},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.47048285603523254},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4496675729751587},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.44881314039230347},{"id":"https://openalex.org/keywords/delay-differential-equation","display_name":"Delay differential equation","score":0.44575265049934387},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.44096243381500244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43429985642433167},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4287969470024109},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40022069215774536},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3593718409538269},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19649067521095276},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1500733494758606},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1342640221118927}],"concepts":[{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.8736927509307861},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7740154266357422},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6740259528160095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.661150336265564},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.47048285603523254},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4496675729751587},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.44881314039230347},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.44575265049934387},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.44096243381500244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43429985642433167},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4287969470024109},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40022069215774536},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3593718409538269},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19649067521095276},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1500733494758606},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1342640221118927},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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":2,"locations":[{"id":"doi:10.1142/s0218127414501132","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414501132","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:cris.unibo.it:11585/542000","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/542000","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"1.01 Articolo in rivista"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1531715726","https://openalex.org/W1966009271","https://openalex.org/W1983795980","https://openalex.org/W2000641880","https://openalex.org/W2003455053","https://openalex.org/W2003577594","https://openalex.org/W2006265672","https://openalex.org/W2006992531","https://openalex.org/W2009074387","https://openalex.org/W2010818373","https://openalex.org/W2027248026","https://openalex.org/W2052750388","https://openalex.org/W2071691476","https://openalex.org/W2085805262","https://openalex.org/W2088804152","https://openalex.org/W2092555266","https://openalex.org/W2094753575","https://openalex.org/W2099376871","https://openalex.org/W2107140526","https://openalex.org/W2156225322","https://openalex.org/W2158630456","https://openalex.org/W2168966530","https://openalex.org/W2265720734","https://openalex.org/W2972071587","https://openalex.org/W3007385044","https://openalex.org/W4240224068","https://openalex.org/W4253543067","https://openalex.org/W4301046466"],"related_works":["https://openalex.org/W1987790493","https://openalex.org/W2153388945","https://openalex.org/W1975783007","https://openalex.org/W2038701038","https://openalex.org/W1996991127","https://openalex.org/W2382752082","https://openalex.org/W1988489950","https://openalex.org/W2363522146","https://openalex.org/W1986426368","https://openalex.org/W2889598458"],"abstract_inverted_index":{"We":[0],"deal":[1],"with":[2],"the":[3,8,22,26,37,51,58,70,82,87,100,103,107,110,121],"time":[4],"delay":[5,54],"model":[6],"for":[7],"diffusion":[9],"of":[10,28,53,102,109],"innovation":[11],"technologies":[12],"proposed":[13],"by":[14,49,62],"Fanelli":[15],"and":[16,25,35,57,64,75,86,106,119],"Maddalena":[17],"[2012].":[18],"For":[19],"this":[20],"model,":[21],"stability":[23,74,108],"switches":[24],"occurrence":[27],"Hopf":[29,76,104],"bifurcations":[30,77,105],"are":[31,115],"still":[32],"largely":[33],"undetermined,":[34],"in":[36],"present":[38],"paper":[39],"we":[40,67,91],"perform":[41],"some":[42],"analysis":[43],"on":[44],"these":[45],"topics.":[46],"In":[47],"particular,":[48],"applying":[50],"theory":[52,85],"differential":[55],"equations":[56],"analytical-geometrical":[59],"approach":[60],"developed":[61],"Beretta":[63],"Kuang":[65],"[2002],":[66],"show":[68],"that":[69,95],"equilibrium":[71],"may":[72,78],"lose":[73],"occur.":[79],"Moreover,":[80],"using":[81],"normal":[83],"form":[84],"center":[88],"manifold":[89],"theorem,":[90],"derive":[92],"closed-form":[93],"expressions":[94],"allow":[96],"us":[97],"to":[98],"determine":[99],"direction":[101],"periodic":[111],"solutions.":[112],"Numerical":[113],"results":[114],"presented":[116],"which":[117],"confirm":[118],"illustrate":[120],"theoretical":[122],"predictions":[123],"obtained.":[124]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
