{"id":"https://openalex.org/W3014169158","doi":"https://doi.org/10.1142/s0218127420500388","title":"Rank-One Chaos in a Periodically Kicked Three-Species Food Chain with Time-Delay","display_name":"Rank-One Chaos in a Periodically Kicked Three-Species Food Chain with Time-Delay","publication_year":2020,"publication_date":"2020-03-15","ids":{"openalex":"https://openalex.org/W3014169158","doi":"https://doi.org/10.1142/s0218127420500388","mag":"3014169158"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127420500388","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500388","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/A5018157052","display_name":"Ping Yang","orcid":"https://orcid.org/0000-0002-5443-8193"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Yang","raw_affiliation_strings":["Department of Electronic Science and Applied Physics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Science and Applied Physics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China","institution_ids":["https://openalex.org/I10660446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101213593","display_name":"Juan Fang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Juan Fang","raw_affiliation_strings":["Shizuishan No. 1 Middle School, Shizuishan, Ningxia 753200, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shizuishan No. 1 Middle School, Shizuishan, Ningxia 753200, P. R. China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011150851","display_name":"Yunxian Dai","orcid":null},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yunxian Dai","raw_affiliation_strings":["Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China","institution_ids":["https://openalex.org/I10660446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056484657","display_name":"Yiping Lin","orcid":"https://orcid.org/0000-0002-6970-4968"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiping Lin","raw_affiliation_strings":["Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650500, P. R. China","institution_ids":["https://openalex.org/I10660446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011150851"],"corresponding_institution_ids":["https://openalex.org/I10660446"],"apc_list":null,"apc_paid":null,"fwci":0.5308,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70095941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"30","issue":"03","first_page":"2050038","last_page":"2050038"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9951000213623047,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8959757089614868},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.6917932629585266},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6717019081115723},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5711182355880737},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.48405545949935913},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46751669049263},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4653770327568054},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.4590105414390564},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4080834984779358},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34654802083969116},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3031178414821625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21884149312973022},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1859707534313202},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1508747637271881},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09572488069534302}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8959757089614868},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6917932629585266},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6717019081115723},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5711182355880737},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.48405545949935913},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46751669049263},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4653770327568054},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.4590105414390564},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4080834984779358},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34654802083969116},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3031178414821625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21884149312973022},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1859707534313202},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1508747637271881},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09572488069534302},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127420500388","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127420500388","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":[{"display_name":"Zero hunger","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1531715726","https://openalex.org/W1639534920","https://openalex.org/W1989568979","https://openalex.org/W1992778613","https://openalex.org/W2003890998","https://openalex.org/W2004225432","https://openalex.org/W2022666585","https://openalex.org/W2033785773","https://openalex.org/W2035576220","https://openalex.org/W2041860387","https://openalex.org/W2072230168","https://openalex.org/W2092094369","https://openalex.org/W2217825665","https://openalex.org/W2341036594","https://openalex.org/W2470386477","https://openalex.org/W2611625150","https://openalex.org/W2769945861","https://openalex.org/W4233264799"],"related_works":["https://openalex.org/W2960434112","https://openalex.org/W3049714198","https://openalex.org/W2036805113","https://openalex.org/W2592279130","https://openalex.org/W2049158118","https://openalex.org/W2123827981","https://openalex.org/W1499880030","https://openalex.org/W4205994410","https://openalex.org/W34461864","https://openalex.org/W2181936729"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"devoted":[3],"to":[4,51,74],"studying":[5],"the":[6,22,34,52,55,58,76],"problem":[7],"of":[8,24,36],"rank-one":[9,37,61],"strange":[10,62],"attractor":[11,63],"in":[12,44],"a":[13],"three-species":[14],"food":[15],"chain":[16],"with":[17],"time-delay.":[18],"The":[19],"conditions":[20,56],"for":[21,57],"existence":[23],"positive":[25],"equilibrium":[26],"and":[27,42,46],"Hopf":[28],"bifurcation":[29],"are":[30,64,72],"presented.":[31],"By":[32],"using":[33],"theory":[35],"maps":[38],"formulated":[39],"by":[40,49],"Wang":[41],"Young":[43],"2001,":[45],"then":[47],"developed":[48],"us":[50],"time-delayed":[53],"system,":[54],"system":[59],"having":[60],"obtained":[65],"under":[66],"periodically":[67],"kicked":[68],"system.":[69],"Numerical":[70],"simulations":[71],"presented":[73],"demonstrate":[75],"analytic":[77],"results.":[78]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}