{"id":"https://openalex.org/W4382985020","doi":"https://doi.org/10.1142/s0218127423500931","title":"Slow\u2013Fast Dynamics of a Coupled Oscillator with Periodic Excitation","display_name":"Slow\u2013Fast Dynamics of a Coupled Oscillator with Periodic Excitation","publication_year":2023,"publication_date":"2023-06-30","ids":{"openalex":"https://openalex.org/W4382985020","doi":"https://doi.org/10.1142/s0218127423500931"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127423500931","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423500931","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/A5044291808","display_name":"Yibo Xia","orcid":"https://orcid.org/0000-0002-8565-9757"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]},{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["CN","DE"],"is_corresponding":true,"raw_author_name":"Yibo Xia","raw_affiliation_strings":["Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, P. R. China","Potsdam Institute for Climate Impact Research (PIK), Potsdam 14473, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, P. R. China","institution_ids":["https://openalex.org/I115592961"]},{"raw_affiliation_string":"Potsdam Institute for Climate Impact Research (PIK), Potsdam 14473, Germany","institution_ids":["https://openalex.org/I60200437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100556578","display_name":"Jingwei He","orcid":"https://orcid.org/0009-0003-5884-5831"},"institutions":[{"id":"https://openalex.org/I129643931","display_name":"Berliner Hochschule f\u00fcr Technik","ror":"https://ror.org/00w7whj55","country_code":"DE","type":"education","lineage":["https://openalex.org/I129643931"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jingwei He","raw_affiliation_strings":["Berliner Hochschule f\u00fcr Technik (BHT), Berlin 13353, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Berliner Hochschule f\u00fcr Technik (BHT), Berlin 13353, Germany","institution_ids":["https://openalex.org/I129643931"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085207296","display_name":"J\u00fcrgen Kurths","orcid":"https://orcid.org/0000-0002-5926-4276"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]},{"id":"https://openalex.org/I60200437","display_name":"Potsdam Institute for Climate Impact Research","ror":"https://ror.org/03e8s1d88","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I60200437"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00fcrgen Kurths","raw_affiliation_strings":["Department of Physics, Humboldt University Berlin, Berlin 12489, Germany","Potsdam Institute for Climate Impact Research (PIK), Potsdam 14473, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Humboldt University Berlin, Berlin 12489, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Potsdam Institute for Climate Impact Research (PIK), Potsdam 14473, Germany","institution_ids":["https://openalex.org/I60200437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000921390","display_name":"Qinsheng Bi","orcid":"https://orcid.org/0000-0002-1058-7154"},"institutions":[{"id":"https://openalex.org/I115592961","display_name":"Jiangsu University","ror":"https://ror.org/03jc41j30","country_code":"CN","type":"education","lineage":["https://openalex.org/I115592961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinsheng Bi","raw_affiliation_strings":["Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, P. R. China","institution_ids":["https://openalex.org/I115592961"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044291808"],"corresponding_institution_ids":["https://openalex.org/I115592961","https://openalex.org/I60200437"],"apc_list":null,"apc_paid":null,"fwci":0.2929,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50758072,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"33","issue":"08","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998000264167786,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998000264167786,"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":0.9991000294685364,"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/T10244","display_name":"Chaos control and synchronization","score":0.9929999709129333,"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/attractor","display_name":"Attractor","score":0.9349335432052612},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.856930136680603},{"id":"https://openalex.org/keywords/van-der-pol-oscillator","display_name":"Van der Pol oscillator","score":0.6447453498840332},{"id":"https://openalex.org/keywords/bursting","display_name":"Bursting","score":0.584328830242157},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5753753185272217},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5594026446342468},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5584737062454224},{"id":"https://openalex.org/keywords/excitation","display_name":"Excitation","score":0.5580946207046509},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5195489525794983},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4765882194042206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.386457234621048},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3202168941497803},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16211065649986267},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13730955123901367},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05368095636367798}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.9349335432052612},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.856930136680603},{"id":"https://openalex.org/C98010927","wikidata":"https://www.wikidata.org/wiki/Q2081515","display_name":"Van der Pol oscillator","level":3,"score":0.6447453498840332},{"id":"https://openalex.org/C195221683","wikidata":"https://www.wikidata.org/wiki/Q5000649","display_name":"Bursting","level":2,"score":0.584328830242157},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5753753185272217},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5594026446342468},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5584737062454224},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.5580946207046509},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5195489525794983},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4765882194042206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.386457234621048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3202168941497803},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16211065649986267},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13730955123901367},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05368095636367798},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127423500931","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127423500931","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:publications.pik-potsdam.de:item_29114","is_oa":false,"landing_page_url":"https://publications.pik-potsdam.de/pubman/item/item_29114","pdf_url":null,"source":{"id":"https://openalex.org/S4306400891","display_name":"Publication Database PIK (Potsdam Institute for Climate Impact Research (PIK))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60200437","host_organization_name":"Potsdam Institute for Climate Impact Research","host_organization_lineage":["https://openalex.org/I60200437"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7845895233","display_name":"\u5206\u6bb5\u5149\u6ed1\u7cfb\u7edf\u7684\u975e\u5e38\u89c4\u5206\u5c94\u7814\u7a76","funder_award_id":"11972173","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W10447158","https://openalex.org/W420509224","https://openalex.org/W577211908","https://openalex.org/W1488048473","https://openalex.org/W1899958445","https://openalex.org/W1972710510","https://openalex.org/W1973827406","https://openalex.org/W1985119234","https://openalex.org/W1985940938","https://openalex.org/W1998630995","https://openalex.org/W2009694321","https://openalex.org/W2011845888","https://openalex.org/W2043405755","https://openalex.org/W2044891973","https://openalex.org/W2046647799","https://openalex.org/W2048232741","https://openalex.org/W2089876099","https://openalex.org/W2119443761","https://openalex.org/W2132793986","https://openalex.org/W2143001678","https://openalex.org/W2143353151","https://openalex.org/W2164653071","https://openalex.org/W2167397714","https://openalex.org/W2171030850","https://openalex.org/W2243875171","https://openalex.org/W2314313576","https://openalex.org/W2341573949","https://openalex.org/W2398652095","https://openalex.org/W2408502140","https://openalex.org/W2412953627","https://openalex.org/W2462002236","https://openalex.org/W2472607991","https://openalex.org/W2518897358","https://openalex.org/W2597410197","https://openalex.org/W2621366651","https://openalex.org/W2769678769","https://openalex.org/W2889522659","https://openalex.org/W2971777264","https://openalex.org/W2979883753","https://openalex.org/W3048600509","https://openalex.org/W3092159138","https://openalex.org/W3214458670","https://openalex.org/W4295526211","https://openalex.org/W4312106553"],"related_works":["https://openalex.org/W2376576873","https://openalex.org/W2014143719","https://openalex.org/W1573240836","https://openalex.org/W2560234711","https://openalex.org/W4206592001","https://openalex.org/W4296292881","https://openalex.org/W2091253744","https://openalex.org/W2562509657","https://openalex.org/W2070724789","https://openalex.org/W2083968322"],"abstract_inverted_index":{"We":[0,46,122],"study":[1,57],"the":[2,5,13,17,48,60,67,78,86,102,138],"influence":[3],"of":[4,16,35,66,81,88,95,114],"coexisting":[6,103],"steady":[7,104],"states":[8,105],"in":[9,112],"high-dimensional":[10],"systems":[11],"on":[12,58],"dynamical":[14,74,79],"evolution":[15,80],"vector":[18],"field":[19],"when":[20],"a":[21,32,42,55,89,115,119,125,133],"slow-varying":[22,43],"periodic":[23,44],"excitation":[24],"is":[25,31],"introduced.":[26],"The":[27],"model":[28],"under":[29],"consideration":[30],"coupled":[33],"system":[34],"Bonh\u00f6ffer\u2013van":[36],"der":[37],"Pol":[38],"(BVP)":[39],"equations":[40],"with":[41,92],"excitation.":[45],"apply":[47],"modified":[49],"slow\u2013fast":[50],"analysis":[51],"method":[52],"to":[53,72,110,137],"perform":[54],"detailed":[56],"all":[59],"equilibrium":[61],"branches":[62],"and":[63,118],"their":[64],"bifurcations":[65],"generalized":[68],"autonomous":[69],"system.":[70],"According":[71],"different":[73],"behaviors,":[75],"we":[76],"explore":[77],"existing":[82],"attractors,":[83],"which":[84],"reveals":[85],"coexistence":[87],"quasi-periodic":[90,134],"attractor":[91,129,135],"diverse":[93],"types":[94],"bursting":[96,128],"attractors.":[97],"Further":[98],"investigation":[99],"shows":[100],"that":[101],"may":[106],"cause":[107],"spiking":[108],"oscillations":[109],"behave":[111],"combination":[113],"2D":[116],"torus":[117],"limit":[120,140],"cycle.":[121,141],"also":[123],"identify":[124],"period-2":[126,139],"cycle":[127],"as":[130,132],"well":[131],"according":[136]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
