乐胖代购免代理版

{"id":"https://openalex.org/W4320017803","doi":"https://doi.org/10.1142/s0218127423500116","title":"Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors","display_name":"Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4320017803","doi":"https://doi.org/10.1142/s0218127423500116"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423500116","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5100419368","display_name":"Haijun Wang","orcid":"https://orcid.org/0000-0003-0598-6457"},"institutions":[{"id":"https://openalex.org/I82760581","display_name":"Taizhou University","ror":"https://ror.org/04fzhyx73","country_code":"CN","type":"funder","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"],"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"]}]},{"author_position":"middle","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":true,"raw_author_name":"Guiyao Ke","raw_affiliation_strings":["School of Information Engineering, GongQing Institute of Science and Technology, Gongqingcheng, JiangXi 332020, P. R. China","School of Information, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, Zhejiang 322100, P. R. China"],"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"]},{"raw_affiliation_string":"School of Information Engineering, GongQing Institute of Science and Technology, Gongqingcheng, JiangXi 332020, P. R. China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101030181","display_name":"Guili Dong","orcid":"https://orcid.org/0009-0009-5430-4468"},"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":"Guili Dong","raw_affiliation_strings":["School of Innovation and Entrepreneurship/Center of Engineering Training, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Innovation and Entrepreneurship/Center of Engineering Training, 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/A5048949380","display_name":"Qifang Su","orcid":null},"institutions":[{"id":"https://openalex.org/I82760581","display_name":"Taizhou University","ror":"https://ror.org/04fzhyx73","country_code":"CN","type":"funder","lineage":["https://openalex.org/I82760581"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qifang Su","raw_affiliation_strings":["School of Electronics and Information Engineering, (School of Big Data Science), Taizhou University, Taizhou, Zhejiang 318000, P. R. China"],"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"]}]},{"author_position":"last","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 Big Data Science, School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Big Data Science, School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, P. R. China","institution_ids":["https://openalex.org/I168879160"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020915389"],"corresponding_institution_ids":["https://openalex.org/I4210100550"],"apc_list":null,"apc_paid":null,"fwci":6.462,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.803462,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"33","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9989,"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":0.9989,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9978,"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/T10244","display_name":"Chaos control and synchronization","score":0.9962,"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":0.8463336},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.6311388},{"id":"https://openalex.org/keywords/heteroclinic-orbit","display_name":"Heteroclinic orbit","score":0.5761687},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.42463985}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8702145},{"id":"https://openalex.org/C142115181","wikidata":"https://www.wikidata.org/wiki/Q16948232","display_name":"Heteroclinic cycle","level":5,"score":0.8463336},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.7502105},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.6311388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5855458},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.5761687},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.51366323},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.48224816},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43158257},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.42463985},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4113418},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.3819665},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3421756},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.2978751},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25572485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.084057},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","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},{"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":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423500116","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"12001489"},{"funder":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province","award_id":"LQ18A010001"},{"funder":"https://openalex.org/F4320338465","funder_display_name":"Zhejiang Province Public Welfare Technology Application Research Project","award_id":"LGN21F020003"}],"datasets":[],"versions":[],"referenced_works_count":32,"referenced_works":["https://openalex.org/W1596321532","https://openalex.org/W1965257932","https://openalex.org/W1983079459","https://openalex.org/W1993269994","https://openalex.org/W1993854094","https://openalex.org/W2009674677","https://openalex.org/W2016866846","https://openalex.org/W2018982184","https://openalex.org/W2025846951","https://openalex.org/W2052311828","https://openalex.org/W2074811693","https://openalex.org/W2075268724","https://openalex.org/W2164535442","https://openalex.org/W2293773556","https://openalex.org/W2468907312","https://openalex.org/W2602270434","https://openalex.org/W2736692209","https://openalex.org/W2793259651","https://openalex.org/W2805841412","https://openalex.org/W2898619700","https://openalex.org/W2963057041","https://openalex.org/W2989769675","https://openalex.org/W3003640191","https://openalex.org/W3014179375","https://openalex.org/W3040034969","https://openalex.org/W3105040353","https://openalex.org/W3176370702","https://openalex.org/W4205155459","https://openalex.org/W4206608584","https://openalex.org/W4223578130","https://openalex.org/W4246675200","https://openalex.org/W4292283611"],"related_works":["https://openalex.org/W4377008899","https://openalex.org/W2788862548","https://openalex.org/W2531108583","https://openalex.org/W2373813151","https://openalex.org/W2159719320","https://openalex.org/W2151523878","https://openalex.org/W2095803285","https://openalex.org/W2066526839","https://openalex.org/W2040151997","https://openalex.org/W2003626137"],"abstract_inverted_index":{"Compared":[0],"with":[1,115,147],"most":[2],"known":[3],"singularly":[4,88,198],"degenerate":[5,89,199],"heteroclinic":[6,90,200],"cycles":[7,91,113,145,201],"consisting":[8],"of":[9,13,23,39,87,95,178,194,197,231],"two":[10,20,36,158],"different":[11],"equilibria":[12],"a":[14,17,236],"line":[15],"or":[16,19,211],"curve,":[18],"parallel":[21],"lines":[22,38],"semi-hyperbolic":[24,40],"equilibria,":[25,41],"little":[26],"seems":[27],"to":[28],"be":[29],"noticed":[30],"about":[31],"the":[32,57,93,125,137,151,154,167,174,179,190,223,229,232],"one":[33,116,148],"that":[34,85,124,195,228],"connects":[35],"perpendicular":[37],"i.e.":[42,107],"[Formula:":[43,47,50,61,64,67,71,75,97],"see":[44,48,51,62,65,68,72,76,98],"text]":[45,69,73],"and":[46,74,129,156,187,204],"text],":[49,52,63,66],"which":[53,162],"is":[54,202],"found":[55,221],"in":[56,92,153,166,222],"mathematical":[58],"chaos":[59],"model:":[60],"when":[70],"text].":[77,99],"Surprisingly,":[78],"apple-shape":[79],"attractors":[80],"are":[81,105,163,219],"also":[82,141,164],"created":[83],"nearby":[84],"kind":[86,196],"case":[94],"small":[96],"Further,":[100],"some":[101],"other":[102,157],"rich":[103],"dynamics":[104],"uncovered,":[106],"global":[108],"boundedness,":[109],"Hopf":[110],"bifurcation,":[111],"limit":[112,144,212],"coexisting":[114,146],"chaotic":[117,149,217],"attractor,":[118,150],"etc.":[119,214],"We":[120,226],"not":[121],"only":[122],"prove":[123],"ultimate":[126],"bound":[127],"sets":[128,133],"globally":[130,169],"exponentially":[131,170],"attracting":[132,171],"perfectly":[134],"coincide":[135],"under":[136],"same":[138],"parameters,":[139],"but":[140],"illustrate":[142],"four":[143],"saddle":[152],"origin,":[155],"stable":[159],"nontrivial":[160],"node-foci,":[161],"trapped":[165],"obtained":[168],"set,":[172],"extending":[173],"recently":[175],"reported":[176],"results":[177],"L\u00fc-type":[180],"subsystem.":[181],"In":[182],"addition,":[183],"combining":[184],"theoretical":[185],"analysis":[186],"numerical":[188],"simulation,":[189],"bidirectional":[191],"forming":[192],"mechanism":[193],"illustrated,":[203],"their":[205],"collapses":[206],"may":[207,234],"create":[208],"three-scroll/apple-shape":[209],"attractors,":[210],"cycles,":[213],"Finally,":[215],"conservative":[216],"flows":[218],"numerically":[220],"new":[224],"system.":[225],"expect":[227],"outcome":[230],"study":[233],"provide":[235],"reference":[237],"for":[238],"subsequent":[239],"research.":[240]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4320017803","counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":16}],"updated_date":"2025-04-22T21:59:59.544912","created_date":"2023-02-11"}