{"id":"https://openalex.org/W1974760971","doi":"https://doi.org/10.1142/s0218127402005261","title":"BIFURCATIONS OF PERIODIC ORBITS IN A JOSEPHSON EQUATION WITH A PHASE SHIFT","display_name":"BIFURCATIONS OF PERIODIC ORBITS IN A JOSEPHSON EQUATION WITH A PHASE SHIFT","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W1974760971","doi":"https://doi.org/10.1142/s0218127402005261","mag":"1974760971"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127402005261","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127402005261","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/A5109193106","display_name":"Zhujun Jing","orcid":null},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]},{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZHUJUN JING","raw_affiliation_strings":["Department of Mathematics, Hunan Normal University, Hunan, Changsha, P.R. China","Institute of Mathematics, Chinese Academia of Sciences, Beijing 100080, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hunan Normal University, Hunan, Changsha, P.R. China","institution_ids":["https://openalex.org/I173759888"]},{"raw_affiliation_string":"Institute of Mathematics, Chinese Academia of Sciences, Beijing 100080, P.R. China","institution_ids":["https://openalex.org/I4210159876"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101825666","display_name":"Hongjun Cao","orcid":"https://orcid.org/0000-0003-4625-5351"},"institutions":[{"id":"https://openalex.org/I4210159876","display_name":"Institute of Physics","ror":"https://ror.org/05cvf7v30","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210159876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"HONGJUN CAO","raw_affiliation_strings":["Institute of Mathematics, Chinese Academia of Sciences, Beijing 100080, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Chinese Academia of Sciences, Beijing 100080, P.R. China","institution_ids":["https://openalex.org/I4210159876"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.231,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.5545515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":"07","first_page":"1515","last_page":"1530"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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":0.9997000098228455,"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":0.998199999332428,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.798438549041748},{"id":"https://openalex.org/keywords/subharmonic","display_name":"Subharmonic","score":0.7299231886863708},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5719090104103088},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4956575632095337},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49307844042778015},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46538180112838745},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.45802223682403564},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4453127980232239},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.44492605328559875},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.430203914642334},{"id":"https://openalex.org/keywords/josephson-effect","display_name":"Josephson effect","score":0.4226677715778351},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2673349380493164},{"id":"https://openalex.org/keywords/superconductivity","display_name":"Superconductivity","score":0.16805794835090637},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.15006810426712036},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12522295117378235},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07669958472251892}],"concepts":[{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.798438549041748},{"id":"https://openalex.org/C193687819","wikidata":"https://www.wikidata.org/wiki/Q7631190","display_name":"Subharmonic","level":3,"score":0.7299231886863708},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5719090104103088},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4956575632095337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49307844042778015},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46538180112838745},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45802223682403564},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4453127980232239},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.44492605328559875},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.430203914642334},{"id":"https://openalex.org/C12038964","wikidata":"https://www.wikidata.org/wiki/Q764228","display_name":"Josephson effect","level":3,"score":0.4226677715778351},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2673349380493164},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.16805794835090637},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.15006810426712036},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12522295117378235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07669958472251892},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127402005261","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127402005261","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":[{"id":"https://metadata.un.org/sdg/13","score":0.4099999964237213,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1979269078","https://openalex.org/W1985309587","https://openalex.org/W1991670713","https://openalex.org/W2015253289","https://openalex.org/W2021630424","https://openalex.org/W2021773575","https://openalex.org/W2058236317","https://openalex.org/W2066486379","https://openalex.org/W2078988381","https://openalex.org/W2089876099","https://openalex.org/W2146083512","https://openalex.org/W2164013575","https://openalex.org/W2566706182","https://openalex.org/W3041070869","https://openalex.org/W3123094903","https://openalex.org/W4211033296","https://openalex.org/W4294967943"],"related_works":["https://openalex.org/W2370517014","https://openalex.org/W2039242888","https://openalex.org/W4287815158","https://openalex.org/W2027014902","https://openalex.org/W2164484611","https://openalex.org/W2515867587","https://openalex.org/W2955962889","https://openalex.org/W4252651742","https://openalex.org/W2013222437","https://openalex.org/W1838021708"],"abstract_inverted_index":{"The":[0],"Josephson":[1],"equation":[2],"with":[3],"constant":[4],"current":[5],"and":[6,9,19,24,37],"sinusoidal":[7],"forcings":[8],"a":[10],"phase":[11,50],"shift":[12,51],"is":[13,53],"investigated":[14],"in":[15,61],"detail:":[16],"the":[17,20,33,40,49],"existence":[18],"bifurcations":[21,43],"of":[22,44],"harmonics":[23],"subharmonics":[25,47],"under":[26],"small":[27],"perturbations":[28],"are":[29,59],"given,":[30],"by":[31],"using":[32],"second-order":[34],"averaging":[35],"method":[36],"Melnikov":[38],"function;":[39],"influence":[41],"on":[42],"periodic":[45],"or":[46],"as":[48],"varies":[52],"considered;":[54],"some":[55],"numerical":[56],"simulation":[57],"results":[58],"reported":[60],"order":[62],"to":[63],"prove":[64],"our":[65],"theoretical":[66],"predictions.":[67]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
