{“状态”:“正常”,“消息类型”:“工作”,“消息版本”:“1.0.0”,“消息”:{“索引”:{“日期部分”:[[2024,4,10],“日期-时间”:“2024-04-10T18:33:48Z”,“时间戳”:1712774028553},“引用计数”:27,“发布者”:“爱思唯尔BV”,“许可证”:[{“开始”:{“日期部分”:[[2019,2,1]],“日期-时间”:“2019-02-01T00:00:00Z”,“时间戳”:1548979200000},“内容版本“:“tdm”,“delay-in-days”:0,“URL”:“https:\/\/www.elsevier.com/tdm\/userlicense\/1.0\/”}],“出资人”:[{“DOI”:“10.13039\/501100003593”,“名称”:“Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico”,“DOI-asserted-by”:“publisher”,“奖项”:[“302893\/2013-0”,”152572\/2016 3“]},{“DOI”:“10.13039\/501100003593”,“名称”:“Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico”,“doi-asserted-by”:“出版商”,“奖项”:[“302893\/2013-0”,“152572\/2016-3”]}],“内容域”:{“域”:[”elsevier.com“,”sciencedirect.com“],“crossmark-restriction”:true},“short-container-title”:[)计算机与化学工程“],”published-print“:{”日期部分“:[[2019,2]},“DOI”:“10.1016\/j.compchemeng.2018.12.008”,“type”:“journal-article”,“created”:{“date-parts”:[[2018,12,5]],“date-time”:“2018-12-05T08:21:45Z”,“timestamp”:1543998105000},“page”:”639-645“,”update-policy“:”http://\/dx.DOI.org\/10.10016\/elsevier_cm_policy count“:4,”标题“:[“微分代数方程中Hopf分歧点的直接计算”],“前缀”:“10.1016”,“卷”:“121”,“作者”:[{“给定”:“A.S.”,”家族“:”Andrade Neto“,”序列“:”first“,”affiliation“:[]},{“ORCID”:“http://\/ORCID.org\/00000-7297-3571”,“authenticated-ORCID”:false,“给定”:“A.R.”,“从属关系”:[]},{“ORCID”:“http://\/ORCID.org\/00000-0002-4041-9282”,“authenticated-ORCID”:false,“给定”:“P.A.”,“家族”:“甜瓜”,“序列”:“附加”,“从属”:[]}],“成员”:“78”,“引用”:[{“问题”:“4”,“密钥”:“10.1016\/j.compchemeng.2018.12.008_bib0001”,“doi-asserted-by”:“crossref”,“first”第“:”467“,”doi“:”10.1007 \/s11047-007-9049-5“,“article-title”:“粒子群优化综述。第一部分:背景与发展”,“volume”:“6”,“author”:“Banks”,“year”:“2007”,“journal-title“:Nat.Comput.”},{“issue”:“4”,“key”:《10.1016\/j.compchemeng.2018.12.008_bib0002》,“doi-asserted-by”:“crossref”,“first-pages”:“1383”,“doi”:“10.1016\/j.matcom.2008.009”,“artic蒂尔”:“奇异微分代数方程的hopf分岔定理”,“volume”:“79”,“author”:“Beardmore”,“year”:“2008”,“journal-title”:“Math.Comput.Simul.”},{“key”:”10.1016\/j.compchemeng.2018.12.008_bib0003“,“series-title”:”微分代数方程初值问题的数值解“,”author“:”Brenan“,”year“:”1996“},{“issue”:“1”,“key”:“10.1016\/j.compchemeng.2018.12.008_bib0004”,“doi-asserted-by”:“crossref”,“首页”:“70”,“doi”:“101007\/BF00952257”,“article-title”:“DAES沿轨迹的线性化”,“volume”:”46“,”author“:”Campbell“,”year“1995”,“journal-title“:”Z.Angew.Math.Phys.“},{”key“10.1”016\/j.compchemeng.2018.12.008_bib0005“,“首页”:“297”,“article-title”:“AUTO_DAE中微分代数方程的稳定性分析”,“卷”:“21”,“作者”:“Clausbruch”,“年份”:“2006”},{“key”:“10.1016\/j.compchemeng.2018.12.008_bib0006”,“series-title”:《微分代数方程鲁棒稳定性》,“第一页”::“10.1016\/j.compchemeng.2018.12.008_bib0007”,“series-title”:“用Kronecker规范形式寻找自映射的特征值”,“first page”:“119”,“author”:“Ethier”,“year”:“2017”},{“issue”:“1”,“key”:”10.1016\/j.commchemeng.2018.12.008 _ bib0008“,”doi-asserted-by“:”crossref“,“first-page”:“89”,“doi”:“10.1109\/TCT。1971.1083221“,“文章标题”:“微分代数方程的同时数值解”,“卷”:“18”,“作者”:“齿轮”,“年份”:“1971年”,“期刊标题”:“IEEE Trans.Circuit Theory”},{“问题”:“3”,“关键”:“10.1016\/j.compchemeng.2018.12.008_bib0009”,“doi-asserted-by”:“crossref”,“首页”:“295”,“doi”:“101093\/imanum\/3.3.295”:“直接法计算Hopf分数”,“volume”:“3”,“author”:“Griewank”,“year”:“1983”,“journal-title”:“IMA J.Numer.Anal.”},{“key”:”10.1016\/J.compchemeng.2018.12.008_sbref0010“,”doi-asserted-by“:”crossref“,”first page“:”133“,“doi”:“10.1016\/J.copchemeng.2014.04.013”,“article-title“:“apmonitor中的非线性建模、估计和预测控制”,“volume”:“70”,“author”:“Hedengren”,“year”:“2014”,“journal-title”:“Compute.Chem.Eng.”},{“issue”:“11”,“key”:”10.1016\/j.compchemeng.2018.12.008_bib0011“,”doi-asserted-by“:”crossref“,”first page“3872”,“doi”:“10.1021\/ie00038a026”,“article-title“:“聚合工艺流程图的动力学和稳定性”,“卷”:“34”,“作者”:“Hyanek”,“年份”:“1995”,“日志标题”:“工业工程化学研究”},{“问题”:“2”,“关键”:“10.1016\/j.compchemeng.2018.12.008_bib0012”,”doi-asserted-by“:”crossref“,”first page“:”783“,”doi“:”10.1007\/BF01098963“,“文章标题”:“矩阵铅笔:理论、应用和数值方法”,“卷”:“64”,“作者”:“Ikramov”,“年份”:“1993”,“期刊标题”:“苏联数学杂志”},{“问题”:“1”,“关键”:“10.1016\/J.compchemeng.2018.12.008_bib0013”,“doi-asserted-by”:“crossref”,“首页”:“157”,”doi“10.1007\/BF00941892”,“文章标题”:“Lipschitzian optimizan optimize without the lipschitz constant”,“volume”:“79”,“author”:“Jones”,“year”:“1993”,“journal-title”:“J.Optim.Theory Appl.”},{“issue”:“1”,“key”:”10.1016\/J.compchemeng.2018.12.008_bib0014“,“doi-asserted-by”:“crossref”,“first-pages”:“250”,“doi”:“10.1006\/jmaa.1994.1079”,“article-title“:“不使用特征值的hopf分岔准则”,“volume”:“182”,“author”:“Liu”,“year”:“1994”,“journal-title”:“J.Math.Anal.Appl.”},{“issue”:“2”,“key”:”10.1016\/J.compchemeng.2018.12.008_bib0015“,”doi-asserted-by“:”crossref“,”first page“441”,“doi”:“10.1016\/S0009-2509(99)00341-3”,“article-ti tle“:“diva方法和应用中的非线性计算”,“volume”:“55”,“author”:“Mangold”,“year”:“2000”,“journal-title”:“Chem.Eng.Sci.”},{“key”:《10.1016\/j.compchemeng.2018.12.008_bib0016》,“series-title”:《欧洲计算机辅助过程工程研讨会-12》,“首页”:“919”,“article-title”:“通过CAPE ESO接口使用DIVA对gPROMS模型进行非线性分析”,“卷”:“第10卷”,“作者”:“Mangold”,“年份”:“2002”},{“key”:“10.1016\/j.compchemeng.2018.12.008_sbref0017”,“series-title”:“微分代数方程的实用Lyapunov稳定性准则”,“author”:“M\u00e4rz”,“year”:“1991”}、{“key”:“10.1016\/j.compchemeng.2018.12.008_bib0018”,“series-title”:“非线性全隐式微分代数系统的稳定性准则.博士论文”,“author”:“Menrath”,“year”:“2011”},{“key”:“10.12016\/j.compchemeng.2018.2008_bib001”,“series-title”:”数值优化“,”author“:”Nocedal“,”year“1999”}:“10.1016\/j.compchemeng.2018.12.008_bib0020”,“doi-asserted-by”:“crossref”,“first page”:“355”,“doi”:“10.106\/S0045-7825(98)00203-5”,“article-title”:“拟线性微分代数方程的hopf分岔定理”,“volume”:《170》,“author”:“Rabier”,“year”:“1999”,“journal title”:《计算方法应用力学》},{“key”:“10.1016\/j.compchemeng.2018.12.008_bib0021”,“非结构化”:“Rehman,R.,Ipsen,I.C.F.,2011。计算特征多项式的La Budde \u2019s方法。ArXiv电子打印。https://arxiv.org/abs\/1104.3769.“},{“issue”:“4”,“key”:“10.1016\/j.com.pchemeng.2018.12.008_bib0022”,“doi断言者”:“crossref”,“首页”:“427”,“doi”:“10.1007\/BF012603030”,“文章标题”:“关于微分代数方程的局部定性行为”,“卷”:“14”,“作者”:“Reich”,“年份”:“1995”,“期刊标题”:“电路系统。信号处理。“},{”key“:”10.1016\/j.compchemeng.2018.12.008_bib0023“,”series-title“:”On the History of Differential-Algebraic Equations“,”first page“:“1”,”author“:”Simeon“,”year“:”2017“}”,{“key”:“10.1016\/j.copchemeng.201812.008_bin0024”,“first pages”:“157”,“article-title”:“High-Index DAE系统的直接初始化和解决方案”,“volume”:”20“,“作者”:“Soares“,”year“:”2005“},{“issue”:“3”,“key”:“10.1016\/j.compchemeng.2018.12.008_bib0025”,“doi-asserted-by”:“crossref”,“first page”:”303“,”doi“:”10.1007\/BF02238934“,”article-title“:”关于高指数DAE相对于参数扰动的稳定性的备注“,”volume“:”49“,”author“:”S\u00f6derlind“,”年份“:”1992“,”journ al-title“:”计算“},{“issue”:“3”,“key”:“10.1016\/j.compchemeng.2018.12.008_bib0026”,“首页”:“147”,“article-title”:“关于微分代数方程渐近稳定性的准则”,“volume”:”82“,“author”:“Stykel”,“year”:“2002”,“journal-title“j.Appl.Math.Mech.”},{,“doi-asserted-by”:“crossref”,“首页”:“73”,“DOI”:“10.17656\/jzs.10402”,“文章标题”:“微分代数方程稳定性的Floquet理论”,“卷”:“17”,“作者”:“Yasir”,“年”:“2015”,“期刊标题”:“J.Zankoi Sulaimani”}],“容器标题”:[“计算机与化学工程”],“原标题”:[],“语言”:“en”,“链接”:[{“URL”:“https:\/\/api.elsevier.com/content\/article\/PII:S009813541830615X?httpAccept=text\.xml”,“content-type”:“text\/xml”,“内容-版本”:“vor”,“intended-application”:“文本-分钟”},{“URL”:“http:\/\-api.elsever.com/content\/article \/PII:S0098135 41830615 X?httpAccept=text\/plain”,“content-type版本“:”vor“,“intended-application”:“text-mining”}],“deposed”:{“date-parts”:[2021,1,19]],“date-time”:“2021-01-19T22:24:56Z”,“timestamp”:1611095096000},“score”:1,“resource”:{“primary”:}“URL”:“https:\/\/linkinghub.elsevier.com\/retrieve\/piii\/S009813541830615X”}},”副标题:[],“shorttitle”:[]“date-parts”:[[2019,2]]},“references-count”:27,“alternative-id”:[“S009813541830615X”],“URL”:“http://\/dx.doi.org\/101016\/j.compchemeng.2018.12.008”,“关系”:{},“ISSN”:[”0098-1354“],“ISSN-type”:[{“value”:“0098-135.4”,“类型”:“print”}],“主题”:[],“发布”:{“date-parts”:[2019,2]},“Elsevier”,“name”:“publisher”,“label”:“本文由”},{“value”维护”:“微分代数方程中Hopf分歧点的直接计算”,“name”:“articletite”,“label”:“Article Title”},{“value”:“Computers&Chemical Engineering”,“name”:“journaltitle”,“label”:《Journal Title》},“value“:”https:\\/doi.org\/101016\/j.compchemeng.2018.12.008“,”name“:”articlelink“,”label“:“CrossRef DOI link to publisher maintained version”},{“value”:“article”,“name”:“content_type”,“label”:“content-type”}