{"id":"https://openalex.org/W3113797113","doi":"https://doi.org/10.1142/s0218127420502454","title":"Analysis of Degenerate Chenciner Bifurcation","display_name":"Analysis of Degenerate Chenciner Bifurcation","publication_year":2020,"publication_date":"2020-12-28","ids":{"openalex":"https://openalex.org/W3113797113","doi":"https://doi.org/10.1142/s0218127420502454","mag":"3113797113"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420502454","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420502454","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2404.03350","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032976211","display_name":"Gheorghe Tigan","orcid":"https://orcid.org/0000-0001-7083-4666"},"institutions":[{"id":"https://openalex.org/I3122695212","display_name":"Polytechnic University of Timi\u015foara","ror":"https://ror.org/02v91gy68","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122695212"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"G. Tigan","raw_affiliation_strings":["Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania"],"raw_orcid":"https://orcid.org/0000-0001-7083-4666","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania","institution_ids":["https://openalex.org/I3122695212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023718850","display_name":"Sorin Lugojan","orcid":null},"institutions":[{"id":"https://openalex.org/I3122695212","display_name":"Polytechnic University of Timi\u015foara","ror":"https://ror.org/02v91gy68","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122695212"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"S. Lugojan","raw_affiliation_strings":["Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania","institution_ids":["https://openalex.org/I3122695212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010742167","display_name":"Loredana Ciurdariu","orcid":"https://orcid.org/0000-0002-1234-7939"},"institutions":[{"id":"https://openalex.org/I3122695212","display_name":"Polytechnic University of Timi\u015foara","ror":"https://ror.org/02v91gy68","country_code":"RO","type":"education","lineage":["https://openalex.org/I3122695212"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"L. Ciurdariu","raw_affiliation_strings":["Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Politehnica University of Timisoara, Pta Victoriei, nr. 2, 300006, Timisoara, Timis, Romania","institution_ids":["https://openalex.org/I3122695212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3122695212"],"apc_list":null,"apc_paid":null,"fwci":1.4814,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82471811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"30","issue":"16","first_page":"2050245","last_page":"2050245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9977999925613403,"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/T10244","display_name":"Chaos control and synchronization","score":0.9976000189781189,"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/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.8593034744262695},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.8160244226455688},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.8051691055297852},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.7677900791168213},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.719054639339447},{"id":"https://openalex.org/keywords/bogdanov\u2013takens-bifurcation","display_name":"Bogdanov\u2013Takens bifurcation","score":0.6791855096817017},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.6069442629814148},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.5961551070213318},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.5514142513275146},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.5489287376403809},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.5270662307739258},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.5258631706237793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5197358131408691},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.48515066504478455},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.43518316745758057},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3390817642211914},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3003566563129425},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19905930757522583},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0765673816204071},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.038967907428741455}],"concepts":[{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.8593034744262695},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.8160244226455688},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.8051691055297852},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.7677900791168213},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.719054639339447},{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.6791855096817017},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.6069442629814148},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.5961551070213318},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.5514142513275146},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.5489287376403809},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.5270662307739258},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.5258631706237793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5197358131408691},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.48515066504478455},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.43518316745758057},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3390817642211914},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3003566563129425},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19905930757522583},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0765673816204071},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.038967907428741455},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127420502454","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420502454","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:arXiv.org:2404.03350","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.03350","pdf_url":"https://arxiv.org/pdf/2404.03350","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2404.03350","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.03350","pdf_url":"https://arxiv.org/pdf/2404.03350","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6188004107","display_name":null,"funder_award_id":"777911","funder_id":"https://openalex.org/F4320335254","funder_display_name":"Horizon 2020"}],"funders":[{"id":"https://openalex.org/F4320335254","display_name":"Horizon 2020","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3113797113.pdf","grobid_xml":"https://content.openalex.org/works/W3113797113.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W570184653","https://openalex.org/W1515307033","https://openalex.org/W1580206188","https://openalex.org/W1596321532","https://openalex.org/W1968461007","https://openalex.org/W2000685050","https://openalex.org/W2007574132","https://openalex.org/W2045218294","https://openalex.org/W2067058245","https://openalex.org/W2087286123","https://openalex.org/W2144433502","https://openalex.org/W2158375023","https://openalex.org/W2198618549","https://openalex.org/W2497890979","https://openalex.org/W2501843943","https://openalex.org/W2501875250","https://openalex.org/W2534099533","https://openalex.org/W2577276871","https://openalex.org/W2611867027","https://openalex.org/W2622766144","https://openalex.org/W2891776222","https://openalex.org/W2955290656","https://openalex.org/W2978413966","https://openalex.org/W2997043029","https://openalex.org/W4292283611"],"related_works":["https://openalex.org/W2356715721","https://openalex.org/W2049615654","https://openalex.org/W2025138898","https://openalex.org/W2110197045","https://openalex.org/W1982778171","https://openalex.org/W2923981205","https://openalex.org/W2775656422","https://openalex.org/W2054075447","https://openalex.org/W2028337061","https://openalex.org/W2312845532"],"abstract_inverted_index":{"Degenerate":[0],"Chenciner":[1,16],"bifurcation":[2,17,23,37],"in":[3,10,29],"generic":[4],"discrete-time":[5],"dynamical":[6],"systems":[7],"is":[8],"studied":[9,28],"this":[11,30],"work.":[12],"While":[13],"the":[14,25],"nondegenerate":[15],"can":[18],"be":[19],"described":[20],"by":[21],"two":[22],"diagrams,":[24],"degeneracy":[26],"we":[27],"work":[31],"gives":[32],"rise":[33],"to":[34],"32":[35],"different":[36],"diagrams.":[38]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2021-01-05T00:00:00"}
