{“id”:“https://openalex.org/W2123309126“,”doi“:”https://doi.org/10.1142/s0218127413501617“,”title“:”具有非共线奇异性的某些可逆立方中心的全局相位图“,”display_name“:”带有非共线奇性的某些可反转立方中心的全球相位图“、”publication_year“:2013,”publication_date“:”2013-09-01“,”ids“:{”openalex“:”https://openalex.org/W2123309126“,”doi“:”https://doi.org/10.1142/s0218127413501617“,”mag“:”2123309126“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1142/s0218127413501617“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S81011612“,”display_name“:”国际应用科学与工程分岔与混沌杂志“,”issn_l“:”0218-1274“,”isn“:[”0218-274“,“1793-6551”]“is_oa”:false,“is_in_doaj”:false,“host_organization”:“https://openalex.org/P4310319815“,”host_organization_name“:”世界科学“,”host_organization_lineage“:[”https://openalex.org/P4310319815“],”host_organization_lineage_names“:[”World Scientific“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“],‘open_access”:{“is_oa”:true,“oa_status”:“green”,“oa_url”:“”https://ddd.uab.cat/pub/artpub/2013/gsduab_3517/CauTor2013.pdf“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”first“,”author“:{”id“:”https://openalex.org/A5059573612“,”display_name“:”Magdalena Caubergh“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I4210122226“,”display_name“:”Recerca Matem\u00e0tica中心“,”错误“:”https://ror.org/020s51w82“,”国家代码“:”ES“,”类型“:”设施“,”沿袭“:[”https://openalex.org/I4210122226","https://openalex.org/I4387153040“]}],”国家“:[”ES“],”is_corresponding“:false,”raw_author_name“:”M.CAUBERGH“,”raw _ afiliation_strings“:[“Departament de Matem\u00e0tiques,Edifici C.08193 Bellaterra,Barcelona,Spaina”],“afiliations”:[{“raw_affiliation_string”:“Departamant de Matemam\u00te0tique,Edifci C.08193-Bellaterre,Barcelon,Spain”,“institution_ids”:[”https://openalex.org/I4210122226“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5085767356“,”display_name“:”Joan Torregrosa“,”orcid“:”https://orcid.org/0000-0002-2753-1827},“机构”:[{“id”:https://openalex.org/I4210122226“,”display_name“:”Recerca Matem\u00e0tica中心“,”错误“:”https://ror.org/020s51w82“,”国家代码“:”ES“,”类型“:”设施“,”沿袭“:[”https://openalex.org/I4210122226","https://openalex.org/I4387153040“]}],”国家“:[”ES“],”is_corresponding“:false,”raw_author_name“:”J.TORREGROSA“,”raw _ afiliation_strings“:[“Departament de Matem\u00e0tiques,Edifici C.08193 Bellaterra,Barcelona,Spaina”],“afiliations”:[{“raw_affiliation_string”:“Departamant de Mateman\u00e0 Tiques,Edifici C.08 193 Belleterra,巴塞罗那,西班牙”,“institution_ids”:[”https://openalex.org/I4210122226“]}]}],”countries_distinct_count“:1,”institutions_disting_count”:1,“corresponding_author_ids”:[],”correspounding_institution_ids“:[]、”apc_list“:null,”apc_payd“:null,”has_fulltext“:false,”cited_by_count _page“:”1350161“,”last_page“:”135 0161“},”is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T12396“,”“display_name”:“平面多项式系统中的分歧”,“score”:1.0,“subfield”:{“id”:“https://openalex.org/subfields/2608“,”display_name“:”几何和拓扑“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T12396“,”“display_name”:“平面多项式系统中的分歧”,“score”:1.0,“subfield”:{“id”:“https://openalex.org/subfields/2608“,”display_name“:”几何和拓扑“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12812“,”“display_name”:“复微分方程与亚纯函数”,“score”:0.984,“subfield”:{“id”:“https://openalex.org/subfields/2604“,”display_name“:”应用数学“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10248“,”“display_name”:“非线性系统中的流氓波”,“score”:0.9818,“subfield”:{“id”:“https://openalex.org/subfields/3109“,”display_name“:”统计与非线性物理“},”字段“:{”id“:”https://openalex.org/fields/31网址“,”display_name“:”物理学和天文学“},”域“:{”id“:”https://openalex.org/domains/3“,”display_name“:”Physical Sciences“}}],”keywords“:[{”id“:”https://openalex.org/keywords/多项式向量场“,”display_name“:”多项式向量字段“,”score“:0.537543}],”concepts“:[{”id“:”https://openalex.org/C122283620,“wikidata”:https://www.wikidata.org/wiki/Q2532943“,”display_name“:”相图“,”level“:4,”score“:0.8441446},{”id“:”https://openalex.org/C85906118,“wikidata”:https://www.wikidata.org/wiki/Q186693“,”display_name“:”相图“,”level“:3,”score“:0.52126247},{”id“:”https://openalex.org/C2779463800,“wikidata”:https://www.wikidata.org/wiki/Q5062222“,”display_name“:”中心(范畴理论)“,”级别“:2,”分数“:0.50432694},{”id“:”https://openalex.org/C12843,“wikidata”:https://www.wikidata.org/wiki/Q201721“,”display_name“:”引力奇点“,”level“:2,”score“:0.50048304},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.47574994},{”id“:”https://openalex.org/C129844170,“wikidata”:https://www.wikidata.org/wiki/Q41299“,”display_name“:”二次方程“,”level“:2,”score“:0.46179745},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.44017902},{”id“:”https://openalex.org/C7321624,“wikidata”:https://www.wikidata.org/wiki/Q205“,”display_name“:”无限“,”level“:2,”score“:0.42446744},{”id“:”https://openalex.org/C66882249,“wikidata”:https://www.wikidata.org/wiki/Q169336“,”display_name“:”同质“,”level“:2,”score“:0.42302456},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”物理“,”等级“:0,”分数“:0.39568704},{”id“:”https://openalex.org/C44280652,“wikidata”:https://www.wikidata.org/wiki/Q104837“,”display_name“:”Phase(matter)“,”level“:2,”score“:0.38432688},{”id“:”https://openalex.org/C2781349735,“wikidata”:https://www.wikidata.org/wiki/Q4904824“,”display_name“:”分歧“,”level“:3,”score“:0.37491566},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.26986966},{”id“:”https://openalex.org/C8010536,“wikidata”:https://www.wikidata.org/wiki/Q160398“,”display_name“:”结晶学“,”level“:1,”score“:0.2555586},{”id“:”https://openalex.org/C2524010,“wikidata”:https://www.wikidata.org/wiki/Q8087“,”display_name“:”Geometry“,”level“:1,”score“:0.22899291},{”id“:”https://openalex.org/C185592680,“wikidata”:https://www.wikidata.org/wiki/Q2329“,”display_name“:”Chemistry“,”level“:0,”score“:0.0886569},{”id“:”https://openalex.org/C62520636,“wikidata”:https://www.wikidata.org/wiki/Q944网址“,”display_name“:”量子力学“,”level“:1,”score“:0.08748549},{”id“:”https://openalex.org/C158622935,“wikidata”:https://www.wikidata.org/wiki/Q660848“,”display_name“:”非线性系统“,”level“:2,”score“:0.0}],”mesh“:[],”locations_count“:2.”locations“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1142/s0218127413501617“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S81011612“,”display_name“:”国际应用科学与工程分岔与混沌杂志“,”issn_l“:”0218-1274“,”isn“:[”0218-274“,“1793-6551”]“is_oa”:false,“is_in_doaj”:false,“host_organization”:“https://openalex.org/P4310319815“,”host_organization_name“:”世界科学“,”host_organization_lineage“:[”https://openalex.org/P4310319815“],”host_organization_lineage_names“:[”World Scientific“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://ddd.uab.cat/record/150598,“pdf_url”:https://ddd.uab.cat/pub/artpub/2013/gsduab_3517/CauTor2013.pdf,“源”:{“id”:https://openalex.org/S4306400380“,”display_name“:”Dip\u00f2sit Digital de Documents de la UAB(巴塞罗那Aut\u00f2noma大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I123044942“,”“host_organization_name”:“巴塞罗那Aut\u00f2noma大学”,“host_organization_lineage”:[“https://openalex.org/I123044942“],”host_organization_lineage_names“:[”巴塞罗那大学“],“type”:“repository”},“license”:“public-domain”,“licence_id”:“https://openalex.org/licenses/public-domain网站“,”version“:”submittedVersion“,”is_accepted“:false,”is_published“:false}],”best_oa_location“:{”is_oa“:true,”landing_page_url“:”https://ddd.uab.cat/record/150598(网址:https://ddd.uab.cat/record/150598),“pdf_url”:https://ddd.uab.cat/pub/artpub/2013/gsduab_3517/CauTor2013.pdf,“源”:{“id”:https://openalex.org/S4306400380“,”display_name“:”Dip\u00f2sit Digital de Documents de la UAB(巴塞罗那Aut\u00f2noma大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I123044942“,”“host_organization_name”:“巴塞罗那Aut\u00f2noma大学”,“host_organization_lineage”:[“https://openalex.org/I123044942“],”host_organization_lineage_names“:[”巴塞罗那大学“],“type”:“repository”},“license”:“public-domain”,“licence_id”:“https://openalex.org/licenses/public-domain网站“,”version“:”submittedVersion“,”is_accepted“:false,”is_published“:false},”sustainable_development_goals“:[{”score“:0.54,”display_name“:”可持续城市和社区“,”id“:”https://metadata.un.org/sdg/11“}],”grants“:[],”datasets“:[],”versions“:[】,”referenced_works_count“:10,”referrenced_works“:【”https://openalex.org/W2002693421","https://openalex.org/W2009968757","https://openalex.org/W2046567429","https://openalex.org/W2064089235","https://openalex.org/W2076472288","https://openalex.org/W2083519097","https://openalex.org/W2117585218","https://openalex.org/W2129845849","https://openalex.org/W3099453737","https://openalex.org/W4230182135“],”related_works“:[”https://openalex.org/W4386041468","https://openalex.org/W3198941150","https://openalex.org/W3171752347","https://openalex.org/W3107946728","https://openalex.org/W3014342693","https://openalex.org/W2339458745","https://openalex.org/W2306553012","https://openalex.org/W2058781209","https://openalex.org/W2009968757","https://openalex.org/W1908764089“],”ngrams_url“:”https://api.openalex.org/works/W2123309126/ngrams网站“,”“abstract_inverted_index”:{“The”:[0],“results”:[1],“in”:[2102],“this”:[3,68],“paper”:[4],“show”:[5],“that”:[6],“The”:[7,50,70140],“cubic”:[8],“vector”:[9],“fields”:[10],“\u1e8b”:[11],“=”:[12,25,77,81],“-y”:[13],“+”:[14,20,27],30,34,86],“M(x,”:[15,75],“y)”:[16,29,76,80],“-”:[17,83],“y(x”:[18],“2”:[19,22,33,36,85,88,90],“x”:[21,35],“),“:[23,37],”\u1e8f“:[24],”x“:[26,32],”N(x,“:[28,79],”x(“:[31],”其中“:[38],”M,“:[39],”N:[40],“are”:[41124],“二次”:[42],“齐次”:[C3],“多项式,”:[44],“having”:[45],“syntallous”:[46],“a”:[47],“center”:[48],“at”:[49,53,56,60114141 32],“原点”:[51],“和”:[52,59,96104113131],“无穷大”:[54],“有”:[55109],“最小”:[57111133],“61”:[58],“大多数”:[61115],“68”:[62],“拓扑”:[63117],“不同”:[64118],“相位”:[65119],“肖像”:[66120],“到”:[67],“结束”:[69],“可逆”:[71],“子家族”:[72],“定义的”:[73],“by”:[74],“-\u03b3xy,”:[78],“(\u03b 3”:[82],“\u03bb)x”:[84],“\u03b1”:[87],“\u 03by”:[89],“with”:[91],“\ u 03b1,”:[92],“\fu 03b3”:[93],“_2208”:[94],“\\u 211d”:[95],“u03bb”:[97],“\u2260”:[98],“0,”:[99],“is”:[100106144],“studed”:[101],“detail”:[103],“it”:[105],“show”:[107],“to”:[108],“48”:[112],“55”:[116],“In”:121],“special”:[122],“there”:[123],“exactly”:[125],“five”:[126],“for”:[127135],“\ u03b3\uu03b3 03bb“:[128136],“<”:[129],“0”:[130],“46”:[134],“>”:[137],“0.”:[138],“此外,”:[139],“全局”:[141],“分歧”:[142],“图表”:[143],“分析”:[145]},“引用_by_api_url”:“https://api.openalex.org/works?filter=cites:W2123309126“,”counts_by_year“:[{”年份“:2021,”cited_by_count“:1},{”年“:2019,”cited_by_count”:1}],”更新日期“:”2024-06-14T22:03:20.129956“,”创建日期“:“2016-06-24”}