{“id”:“https://openalex.org/W2888293488“,”doi“:”https://doi.org/10.1007/978-3-319-99639-4_18“,”title“:“具有无理第一积分的动力学系统的定性分析”,”display_name“:”具有无理第二积分的动力学体系的定性分析“,”publication_year“:2018,”publitation_date“:”2018-01-01“,”ids“:{”openalex“:”https://openalex.org/W2888293488“,”doi“:”https://doi.org/10.1007/978-3-319-99639-4_18“,”mag“:”2888293488“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/978-3-319-99639-4_18“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S106296714“,”display_name“:”计算机科学讲义“,”issn_l“:”0302-9743“,”isn“:[”0302-7743“、”1611-3349“],”is_oa“:false、”is_in_doaj“:false、”is_core“:true、”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer-Science+Business Media“],“type”:“book-series”},“license”:null,“licence_id”:nul,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”book-chapter“,”type_crossref“:“book-chapter”,”indexed_in“:[“crossref”],”open_access“:{”is_oa“:false”“,”oa_url“:空,”any_repository_has_fulltext“:false},”authorships“:[{”author_position“:”first“,”author“:{”id“:”https://openalex.org/A5025665042“,”display_name“:”Valentin Irtegov“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I4210148533“,”display_name“:”系统动力学与控制理论研究所“,”ror“:”https://ror.org/04wteqw51“,”“country_code”“:”RU“,”type“:”facility“,”lineage“:[”https://openalex.org/I1313323035","https://openalex.org/I4210127387","https://openalex.org/I4210148533","https://openalex.org/I4210164537“]}],”国家“:[”RU“],”is_corresponding“:false,”raw_author_name“:”Valentin Irtegov“,”raw _ afiliation_strings“:[“俄罗斯伊尔库茨克系统动力学与控制理论研究所SB RAS”],”affiliations“:[{”raw _affiliation_strong“:”俄罗斯伊尔库茨克系统动态与控制理论研究所SB RAS“,”institution_ids“:[https://openalex.org/I4210148533“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5058570597“,”display_name“:”Tatyana Titorenko“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I4210148533“,”display_name“:”系统动力学与控制理论研究所“,”ror“:”https://ror.org/04wteqw51“,”“country_code”“:”RU“,”type“:”facility“,”lineage“:[”https://openalex.org/I1313323035","https://openalex.org/I4210127387","https://openalex.org/I4210148533","https://openalex.org/I4210164537“]}],”国家“:[”RU“],”is_corresponding“:true,”raw_author_name“:”Tatiana Titorenko“,”raw _ afiliation_strings“:[“俄罗斯伊尔库茨克系统动力学与控制理论研究所SB RAS”],”affiliations“:[{”raw _affiliation_strong“:”俄罗斯伊尔库茨克系统动态与控制理论研究所SB RAS“,“institution_ids”:[”https://openalex.org/I4210148533“]}]}],”institution_assertions“:[],”countries_distiction_count“:1,”institutions_disticent_count”:1,“corresponding_author_ids”:[“https://openalex.org/A5058570597“],”对应的机构ID“:[”https://openalex.org/I4210148533“],”apc_list“:{”value“:5000,”currency“:”EUR“,”value_usd“:5392,”provenance“:”doaj“},”apc _payed“:null,”fwci“:0.0,”has_fulltext“:false,”cited_by_count“:0,”citation_normalized_percentile“:{“value”:0.0、“is_in_top_1_percent”:false、“is_ in_top_10_percennt”:false},“cited_by_percentile_year”:{“min”:0,“max”“:62},”biblio“:{”volume“:null,”issue“:nul,”first_page“:”254“,”last_page“:”271“},”is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T10248“,”“display_name”:“非线性系统中的无赖波”,“score”:0.9979,“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“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T10248“,”“display_name”:“非线性系统中的无赖波”,“score”:0.9979,“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“:”物理科学“}},{”id“:”https://openalex.org/T11261“,”“display_name”:“混沌量子动力学和结构的表征”,“score”:0.9957,“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“:”物理科学“}},{”id“:”https://openalex.org/T11416“,”“display_name”:“微分方程数值积分方法”,“score”:0.9856,“subfield”:{“id”:“https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/irnational-number(https://openalex.org/keywords/irnational-number)“,”display_name“:”数字不合理“,”score“:0.76736164},{”id“:”https://openalex.org/keywords/integrable-turbulence网站“,”display_name“:”可积湍流“,”score“:0.565645},{”id“:”https://openalex.org/keywords/integrable-equations网站“,”display_name“:”积分方程“,”score“:0.550588},{”id“:”https://openalex.org/keywords/dynamical-systems网站“,”display_name“:”动态系统“,”score“:0.543544},{”id“:”https://openalex.org/keywords/spelling“,”display_name“:”Pendulum“,”score“:0.52717364},{”id“:”https://openalex.org/keywords/equilibrium-point网站“,”display_name“:”平衡点“,”score“:0.52036303},{”id“:”https://openalex.org/keywords/modulation-instability网站“,”display_name“:”调制不稳定性“,”score“:0.503777},{”id“:”https://openalex.org/keywords/dynamical-system网站“,”display_name“:”动态系统(定义)“,”score“:0.47751087}],”concepts“:[{”id“:”https://openalex.org/C94931360,“wikidata”:https://www.wikidata.org/wiki/Q607728“,”display_name“:”无理数“,”level“:2,”score“:0.76736164},{”id“:”https://openalex.org/C200741047,“wikidata”:https://www.wikidata.org/wiki/Q1957758“,”display_name“:”可积系统“,”level“:2,”score“:0.5915474},{”id“:”https://openalex.org/C110812573,“wikidata”:https://www.wikidata.org/wiki/Q175515“,”display_name“:”符号计算“,”level“:2,”score“:0.53573537},{”id“:”https://openalex.org/C110639684,“wikidata”:https://www.wikidata.org/wiki/Q20702“,”display_name“:”Pendulum“,”level“:2,”score“:0.52717364},{”id“:”https://openalex.org/C94766913,“wikidata”:https://www.wikidata.org/wiki/Q1530271“,”display_name“:”平衡点“,”level“:3,”score“:0.52036303},{”id“:”https://openalex.org/C78045399,“wikidata”:https://www.wikidata.org/wiki/Q11214“,”display_name“:”微分方程“,”level“:2,”score“:0.5136649},{”id“:”https://openalex.org/C190470478,“wikidata”:https://www.wikidata.org/wiki/Q2370229“,”display_name“:”不变量(物理)“,”level“:2,”score“:0.49912262},{”id“:”https://openalex.org/C60640748,“wikidata”:https://www.wikidata.org/wiki/Q2337858“,”display_name“:”Lyapunov函数“,”level“:3,”score“:0.48801747},{”id“:”https://openalex.org/C33962884,“wikidata”:https://www.wikidata.org/wiki/Q378637“,”display_name“:”动态系统(定义)“,”level“:3,”score“:0.47751087},{”id“:”https://openalex.org/C79379906,“wikidata”:https://www.wikidata.org/wiki/Q3174497“,”display_name“:”动力系统理论“,”level“:2,”score“:0.47348416},{”id“:”https://openalex.org/C104114177,“wikidata”:https://www.wikidata.org/wiki/Q79782“,”“display_name”“:”运动(物理)“,”级别“:2,”分数“:0.43149623},{”id“:”https://openalex.org/C74650414,“wikidata”:https://www.wikidata.org/wiki/Q11397“,”display_name“:”经典力学“,”level“:1,”score“:0.37563512},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.35144734},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.34515572},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395网址“,”display_name“:”数学“,”等级“:0,”分数“:0.29956865},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”物理“,”等级“:0,”分数“:0.25296047},{”id“:”https://openalex.org/C37914503,“wikidata”:https://www.wikidata.org/wiki/Q156495“,”display_name“:”数学物理“,”level“:1,”score“:0.23145932},{”id“:”https://openalex.org/C2524010,“wikidata”:https://www.wikidata.org/wiki/Q8087“,”display_name“:”Geometry“,”level“:1,”score“:0.15596145},{”id“:”https://openalex.org/C62520636,“wikidata”:https://www.wikidata.org/wiki/Q944“,”display_name“:”量子力学“,”level“:1,”score“:0.0},{”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“:1,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/978-3-319-99639-4_18“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S106296714“,”display_name“:”计算机科学讲义“,”issn_l“:”0302-9743“,”isn“:[”0302-7743“、”1611-3349“],”is_oa“:false、”is_in_doaj“:false、”is_core“:true、”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer-Science+Business Media“],“type”:“book series”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false}],“best_oa_location”:nul,“sustainable_development_goals”:[],“grants”:[],“dataset”:[]],“versions”:[】,“referenced_works_count”:11,“referenced_works“:[”https://openalex.org/W1665397193","https://openalex.org/W1966397236","https://openalex.org/W2002150121","https://openalex.org/W2021526061","https://openalex.org/W2077503291","https://openalex.org/W2129315317","https://openalex.org/W2147938983","https://openalex.org/W2156319131","https://openalex.org/W2212032247","https://openalex.org/W2313358426","https://openalex.org/W2329441464“],”related_works“:[”https://openalex.org/W9327061","https://openalex.org/W8603620","https://openalex.org/W38902447","https://openalex.org/W3157009591","https://openalex.org/W2768734329","https://openalex.org/W2509723336","https://openalex.org/W2158234582","https://openalex.org/W1801993675","https://openalex.org/W160373958","https://openalex.org/W13082435“],”abstract_inverted_index“:{”We“:[0,34],”conduct“:[1],”定性“:[2],”分析“:[3103],”for“:[4],”a“:[5,27,49,54,58],”complete“:[6],”integrable“:[7],”system“:[8,43122],”of“:[9,26,39,48,87110],”differential“:[10],”equations“:[11,17],”with“:%12,31,98107],”无理“:[13]6,65],“第一个”:[14],“积分”:[15],“这些”:[16],“起源”:[18],“来自“:[19],“气体”:[20,29,41],“动力学”:[21],“和”:[22,73,96],“描述”:[23],“绝热”:[24],“运动”:[25],“可压缩”:[28],“云”:[30],“均质”:[32],“变形”。“:[33],“研究”:[35],“the”:[36,45,99108],“mechanical”:[37],“analogic”:[38],“this”:[40],“dynamic”:[42],“\u2013”:[44],“rotational”:[46],“motion”:[47],“spheroid”:[50],“刚性”:[51],“body”:[52],“around”:[53],“fixed”:55],“point”:[56],“in”:[57,90],“势能”:[59],“force”:[60],“field”:[61],“descripted”:[62],“by”:[63],“an”:[64],“function。“:[66],“Within”:[67],“our”:[68],“study”,“:[69],“equilibria”,“:[70],“sweeming”:[71],“振荡”:[72],“不变量”:[74],“流形,”:[75],“which”:[76114],“these”:[77],“solutions”:[78],“归属”:[79],“to”:[80],“have”:[81,93],“been”:[82,94105],“founded”。“:[83],“The”:[84102119],“sufficient”:[85],“conditions”:[86],“their”:[88],“stability”:[89],“Lyapunov\u2019s”:[91],“sense”:[92],“derived”:[95],“compared”:[197],“necessary”:[100],“ones”。“:[101],”has“:[104],”performed“:[106],”aid“:[109],”computer“:[111212],”algebration“:[1121],”tools“:+113],”proved“:+115],”to“:[116],”be“:[117],”essential“。“:[118],”\u201cMathematica\u201d“:[123],”was“:[124],”employed。“:[125]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W2888293488“,”counts_by_year“:[],”updated_date“:”2024-09-18T16:16:39.330643“,”created_dates“:”2018-08-31“}“