{"id":"https://openalex.org/W4408844667","doi":"https://doi.org/10.1142/s0218127425500725","title":"Asymmetric Singularly Degenerate Heteroclinic Cycles","display_name":"Asymmetric Singularly Degenerate Heteroclinic Cycles","publication_year":2025,"publication_date":"2025-03-25","ids":{"openalex":"https://openalex.org/W4408844667","doi":"https://doi.org/10.1142/s0218127425500725"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127425500725","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425500725","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/A5100685820","display_name":"Haijun Wang","orcid":"https://orcid.org/0000-0001-9449-9508"},"institutions":[{"id":"https://openalex.org/I82760581","display_name":"Taizhou University","ror":"https://ror.org/04fzhyx73","country_code":"CN","type":"education","lineage":["https://openalex.org/I82760581"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haijun Wang","raw_affiliation_strings":["School of Electronics and Information Engineering (School of Big Data Science), Taizhou University, Taizhou, Zhejiang 318000, P. R. China","School of Electronics and Information Engineering, (School of Big Data Science), Taizhou University, Taizhou, Zhejiang 318000, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-9449-9508","affiliations":[{"raw_affiliation_string":"School of Electronics and Information Engineering (School of Big Data Science), Taizhou University, Taizhou, Zhejiang 318000, P. R. China","institution_ids":["https://openalex.org/I82760581"]},{"raw_affiliation_string":"School of Electronics and Information Engineering, (School of Big Data Science), Taizhou University, Taizhou, Zhejiang 318000, P. R. China","institution_ids":["https://openalex.org/I82760581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035269751","display_name":"Jun Pan","orcid":"https://orcid.org/0000-0002-2994-5070"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Pan","raw_affiliation_strings":["Department of Data Science, School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-2994-5070","affiliations":[{"raw_affiliation_string":"Department of Data Science, School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, P. R. China","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007814699","display_name":"Feiyu Hu","orcid":"https://orcid.org/0000-0002-1800-9826"},"institutions":[{"id":"https://openalex.org/I157921009","display_name":"Ritsumeikan Asia Pacific University","ror":"https://ror.org/03ynn1n59","country_code":"JP","type":"education","lineage":["https://openalex.org/I157921009","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Feiyu Hu","raw_affiliation_strings":["College of Sustainability and Tourism, Ritsumeikan Asia Pacific University, Jumonjibaru, Beppu, Oita 874-8577, Japan"],"raw_orcid":"https://orcid.org/0000-0002-1800-9826","affiliations":[{"raw_affiliation_string":"College of Sustainability and Tourism, Ritsumeikan Asia Pacific University, Jumonjibaru, Beppu, Oita 874-8577, Japan","institution_ids":["https://openalex.org/I157921009"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020915389","display_name":"Guiyao Ke","orcid":"https://orcid.org/0000-0002-6467-9759"},"institutions":[{"id":"https://openalex.org/I4210100550","display_name":"Zhejiang DongFang Vocational and Technical College","ror":"https://ror.org/00yejqr65","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210100550"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guiyao Ke","raw_affiliation_strings":["School of Information, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, Zhejiang 322100, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-6467-9759","affiliations":[{"raw_affiliation_string":"School of Information, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, Zhejiang 322100, P. R. China","institution_ids":["https://openalex.org/I4210100550"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":17.6043,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.99405613,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"35","issue":"06","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9829999804496765,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9829999804496765,"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":0.9614999890327454,"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":0.947700023651123,"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/heteroclinic-cycle","display_name":"Heteroclinic cycle","score":0.8947035074234009},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.7760193347930908},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.7569023370742798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5040982961654663},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37610340118408203},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3384103775024414},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2804381847381592},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2651304304599762},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.2367774248123169},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17800644040107727},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.15776437520980835},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.11491617560386658},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06887161731719971},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.061908602714538574}],"concepts":[{"id":"https://openalex.org/C142115181","wikidata":"https://www.wikidata.org/wiki/Q16948232","display_name":"Heteroclinic cycle","level":5,"score":0.8947035074234009},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.7760193347930908},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.7569023370742798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5040982961654663},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37610340118408203},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3384103775024414},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2804381847381592},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2651304304599762},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.2367774248123169},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17800644040107727},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.15776437520980835},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.11491617560386658},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06887161731719971},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.061908602714538574},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127425500725","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127425500725","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5439004751","display_name":null,"funder_award_id":"12001489","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5623070040","display_name":null,"funder_award_id":"LGN21F020003","funder_id":"https://openalex.org/F4320338465","funder_display_name":"Zhejiang Province Public Welfare Technology Application Research Project"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338465","display_name":"Zhejiang Province Public Welfare Technology Application Research Project","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1596321532","https://openalex.org/W1965257932","https://openalex.org/W1983079459","https://openalex.org/W1992474007","https://openalex.org/W2025846951","https://openalex.org/W2040704758","https://openalex.org/W2049576731","https://openalex.org/W2060438851","https://openalex.org/W2065231503","https://openalex.org/W2076977710","https://openalex.org/W2091974960","https://openalex.org/W2110024214","https://openalex.org/W2120458580","https://openalex.org/W2151523878","https://openalex.org/W2346673812","https://openalex.org/W2837346217","https://openalex.org/W3215541414","https://openalex.org/W4206357236","https://openalex.org/W4206963772","https://openalex.org/W4224440671","https://openalex.org/W4320017803","https://openalex.org/W4323072976","https://openalex.org/W4367184553","https://openalex.org/W4384076489","https://openalex.org/W4387873853","https://openalex.org/W4390155012","https://openalex.org/W4390775843","https://openalex.org/W4391036820","https://openalex.org/W4396938641","https://openalex.org/W4398216222","https://openalex.org/W4399741132","https://openalex.org/W4402525283"],"related_works":["https://openalex.org/W4400607367","https://openalex.org/W4379162907","https://openalex.org/W2118185506","https://openalex.org/W4389814153","https://openalex.org/W2385097473","https://openalex.org/W1481602430","https://openalex.org/W4394881964","https://openalex.org/W2377352363","https://openalex.org/W2095803285","https://openalex.org/W2809789687"],"abstract_inverted_index":{"Although":[0],"the":[1,24,83,87,111,115],"axis-symmetric":[2,10,14],"singularly":[3,43],"degenerate":[4,44],"heteroclinic":[5,45,65],"cycles":[6,28,46],"with":[7,26,47],"nearby":[8,48],"bifurcated":[9,49],"Lorenz-like":[11,15,38,51,101],"attractors":[12],"in":[13,21,80,98],"system":[16,105],"family":[17],"were":[18],"intensively":[19],"studied":[20],"past":[22],"decades,":[23],"scenario":[25],"asymmetric":[27,42,50,64,78],"has":[29],"not":[30],"been":[31],"investigated.":[32],"This":[33],"paper":[34],"revisits":[35],"a":[36,61,71,91,107],"simple":[37],"system,":[39],"and":[40,70,75,90],"illustrates":[41],"attractors.":[52],"In":[53],"addition,":[54],"it":[55],"is":[56],"proved":[57],"that":[58],"there":[59],"exists":[60],"pair":[62,72,92],"of":[63,73,93,110],"orbits":[66],"to":[67,82,86,120],"stable":[68,76,94],"origin,":[69],"unstable":[74,88],"nontrivial":[77,95],"equilibria,":[79],"contrast":[81],"axis/centro-symmetric":[84,96],"ones":[85],"origin":[89],"equilibria":[97],"most":[99],"reported":[100],"systems.":[102],"Moreover,":[103],"this":[104],"casts":[106],"mirror":[108],"image":[109],"aforementioned":[112],"dynamics":[113],"from":[114],"parameter":[116],"[Formula:":[117],"see":[118],"text]":[119],"d.":[121]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":16}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
