Article(id=1242136195229098346, tenantId=1146029695717560320, journalId=1146031591421210625, issueId=1242136177642381640, articleNumber=null, orderNo=13, doi=10.3981/j.issn.1000-7857.2017.14.007, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1494432000000, receivedDateStr=2017-05-11, revisedDate=1499702400000, revisedDateStr=2017-07-11, acceptedDate=null, acceptedDateStr=null, onlineDate=1501296569233, onlineDateStr=2017-07-29, pubDate=1501171200000, pubDateStr=2017-07-28, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1501296569233, onlineIssueDateStr=2017-07-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1774077946713, creator=sys-migrate, updateTime=1774077946713, updator=sys-migrate, issue=Issue{id=1242136177642381640, tenantId=1146029695717560320, journalId=1146031591421210625, year='2017', volume='35', issue='14', pageStart='1', pageEnd='100', issueExtLink='null', onlineDate='null', pubDate='1501171200000', pubDateStr='2017-07-28', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=3, issueType=-1, specialIssue=null, createTime=1774077942521, creator='sys-migrate', updateTime=1774077942521, updator='sys-migrate', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=56, endPage=62, ext={EN=ArticleExt(id=1242136200862052681, articleId=1242136195229098346, tenantId=1146029695717560320, journalId=1146031591421210625, language=EN, title=An entropy approach to complexity of networks generated with the unified hybrid network model:Complexity of complex systems, columnId=1242133161577095994, journalTitle=Science & Technology Review, columnName=Special Issues, runingTitle=null, highlight=null, articleAbstract=Four hybrid ratios are introduced into the unified hybrid network model. They are more in line with the randomness, the uncertainty and the variable growing in the real world network. This paper discusses three types of entropy of complex networks:the Boltzmann-Gibbs entropy (BGS), the extensive entropy Sq, and the open network entropy, as well as the relationship between the entropy and the hybrid ratios. From the essence of entropy, the function expression between the changing entropy of the network and the power-law of the scale-free network is revealed. Also the characteristics of the evolution mechanism and the complexity of the network are expounded., authors=LI Yong, FANG Jinqing, LIU Qiang, authorsList=LI Yong, FANG Jinqing, LIU Qiang, authorCompany=Department of Nuclear Technology Application, China Institute of Atomic Energy, Beijing, 102413, China, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=/LEwbnFFC8Ft3Tg1IyOufQ==, pdfFileSize=3609639, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1242136198756508030, articleId=1242136195229098346, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=统一混合模型网络的熵——揭开复杂系统复杂性表现, columnId=1242116902361830275, journalTitle=科技导报, columnName=专题论文, runingTitle=null, highlight=null, articleAbstract=统一混合网络理论模型引入4个混合比,对复杂网络相关的随机性、确定性、变速增长进行调控,这样更符合随机性与确定性统一的现实世界网络。总结了复杂网络的3种类型熵:Boltzmann-Gibbs熵、非广延熵S q 和开放网络的熵与混合比之间的关系。熵从本质上揭示了网络的熵变与无标度网络的幂律指数之间的函数关系,阐明了复杂网络的演化机制及复杂性变化的特点。, authors=李永, 方锦清, 刘强, authorsList=李永, 方锦清, 刘强, authorCompany=中国原子能科学研究院核技术应用研究所, 北京 102413, correspAuthors=null, authorNote=李永,副研究员,研究方向为复杂网络理论与应用,电子信箱:liyong401@163.com, correspAuthorsNote=方锦清(通信作者),研究员,研究方向为网络科学及其应用,电子信箱:fjq96@126.com, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=vHlLiX2fHzEQ8QYjYMTOzg==, pdfFileSize=3609639, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null)}, authors=null, keywords=[Keyword(id=1242136198022508856, tenantId=1146029695717560320, journalId=1146031591421210625, articleId=1242136195229098346, language=CN, orderNo=1, keyword=统一混合网络理论模型), Keyword(id=1242136198123172154, tenantId=1146029695717560320, journalId=1146031591421210625, articleId=1242136195229098346, language=CN, orderNo=1, keyword=3种类型的熵), Keyword(id=1242136198190281020, tenantId=1146029695717560320, journalId=1146031591421210625, articleId=1242136195229098346, language=CN, orderNo=1, keyword=混合比), Keyword(id=1242136200530702662, tenantId=1146029695717560320, journalId=1146031591421210625, articleId=1242136195229098346, language=EN, orderNo=1, keyword=unified hybrid network theory models), Keyword(id=1242136200622977351, tenantId=1146029695717560320, journalId=1146031591421210625, articleId=1242136195229098346, language=EN, orderNo=1, keyword=three types of entropy), Keyword(id=1242136200706863432, tenantId=1146029695717560320, journalId=1146031591421210625, articleId=1242136195229098346, language=EN, orderNo=1, keyword=hybrid ratios)], refs=null, funds=null, companyList=null, figs=null, attaches=null, journal=Journal(id=1125356956822126595, delFlag=0, nameCn=科技导报, nameEn=Science & Technology Review, nameHistory1=null, nameHistory2=null, issn=1000-7857, eissn=, cn=11-1421/N, coden=null, periodic=3, language=CN, oaType=0, ccby=null, superviseOffice=null, ownerOffice=null, pubOffice=null, editorOffice=null, officeType=null, aims=null, clcCode=null, officeProv=null, officeCity=null, officeAddr=null, officeZip=null, officeEmail=null, officePhone=null, editDirector=null, officeDirector=null, officeDirectorPhone=null, officeStaffNum=null, officeEmpNum=null, coverPicUrl=wfghvu3bhh/dKxuZ+ucVHA==, journalPrice=null, startedYear=null, abbrevIsoEn=Sci Technol Rev, journalRemark=null, publicationField=null, createdTime=null, updatedTime=1784015846012, createdBy=null, updatedBy=13041195026, firstLetterCn=K, firstLetterEn=K, subjectCode=Natural Sciences, subjectName=自然科学, subjectCodeEn=Natural Sciences, subjectNameEn=null, picCn=wfghvu3bhh/dKxuZ+ucVHA==, picEn=yjSfclmpNm7ihn9NbTZ69g==, jcr=null, cjcr=null, exts=[JournalExt(id=1283818766098219763, language=CN, name=科技导报, nameHistory1=null, nameHistory2=null, managedBy=中国科学技术协会, sponsoredBy=中国科学技术协会, publishedBy=科技导报社, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=http://www.kjdb.org/CN/home, createdTime=1784015846037, updatedTime=1784015846037, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=http://www.kjdb.org/CN/column/column7.shtml, submissionAuthorUrl=https://kjdbauthor.cast.org.cn/webm, submissionEditorUrl=https://kjdbeditor.cast.org.cn/webm/, submissionReviewUrl=https://kjdbauthor.cast.org.cn/webm, submissionCeEditorUrl=https://kjdbeditor.cast.org.cn/webm/, submissionAeEditorUrl=https://kjdbeditor.cast.org.cn/webm/, option={"copyright":""}), JournalExt(id=1283818766144357108, language=EN, name=Science & Technology Review, nameHistory1=null, nameHistory2=null, managedBy=, sponsoredBy=, publishedBy=, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=http://www.kjdb.org/EN/home, createdTime=1784015846048, updatedTime=1784015846048, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=http://www.kjdb.org/EN/column/column7.shtml, submissionAuthorUrl=https://kjdbauthor.manuscriptcloud.com/login, submissionEditorUrl=https://kjdbeditor.manuscriptcloud.com/login, submissionReviewUrl=https://kjdbauthor.manuscriptcloud.com/login, submissionCeEditorUrl=https://kjdbeditor.manuscriptcloud.com/login, submissionAeEditorUrl=https://kjdbeditor.manuscriptcloud.com/login, option={"copyright":""})], databaseList=null, tenantJournalId=1146031591421210625, websiteList=[Website(id=1146104741081231361, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1146031591421210625, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/kjdb/CN, language=CN, createTime=1751182263881, createBy=18614031015, updateTime=1751778001962, updateBy=18614031015, name=科技导报, tplId=1146099689490845704, title=科技导报, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1148021146403992296, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=articleTextType, value=kx, createTime=1751639170504, updateTime=1751639170504, creator=18614031015, updator=18614031015), WebsiteProps(id=1148021146378826469, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=banner, value=null, createTime=1751639170498, updateTime=1751639170498, creator=18614031015, updator=18614031015), WebsiteProps(id=1148021146366243556, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=logo, value=https://castjournals.cast.org.cn/joweb/kjdb/CN/file/pic?fileId=9GHSf7eGlIPH0Tv/OOdstA==, createTime=1751639170495, updateTime=1751639170495, creator=18614031015, updator=18614031015), WebsiteProps(id=1148021146395603687, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/kjdb/CN/file/pic, createTime=1751639170502, updateTime=1751639170502, creator=18614031015, updator=18614031015), WebsiteProps(id=1148021146387215078, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146104741081231361, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_cn_619/, createTime=1751639170500, updateTime=1751639170500, creator=18614031015, updator=18614031015)]), Website(id=1146105254833139715, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1146031591421210625, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/kjdb/EN, language=EN, createTime=1751182386363, createBy=18614031015, updateTime=1753500121937, updateBy=18614031015, name=科技导报, tplId=1146101810881728533, title=Science & Technology Review, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1155838567709528217, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=articleTextType, value=kx, createTime=1753502988984, updateTime=1753502988984, creator=18614031015, updator=18614031015), WebsiteProps(id=1155838567692750998, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=banner, value=null, createTime=1753502988980, updateTime=1753502988980, creator=18614031015, updator=18614031015), WebsiteProps(id=1155838567688556693, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=logo, value=https://castjournals.cast.org.cn/joweb/kjdb/EN/file/pic?fileId=9GHSf7eGlIPH0Tv/OOdstA==, createTime=1753502988979, updateTime=1753502988979, creator=18614031015, updator=18614031015), WebsiteProps(id=1155838567705333912, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/kjdb/EN/file/pic, createTime=1753502988983, updateTime=1753502988983, creator=18614031015, updator=18614031015), WebsiteProps(id=1155838567701139607, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1146105254833139715, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_en_623/, createTime=1753502988982, updateTime=1753502988982, creator=18614031015, updator=18614031015)])], journalTitle=科技导报, weixinUrl=null, journalUrl=null, iacademicId=null, status=1, seqNo=null, journalTitleEn=Science & Technology Review, journalPhotoCn=wfghvu3bhh/dKxuZ+ucVHA==, journalPhotoEn=yjSfclmpNm7ihn9NbTZ69g==, journalFirstLetter=K, journalRecommend=null, journalNew=null, journalCollection=1, jcrJf=null, cjcrJf=0.91, jcrJfStr=null, cjcrJfStr=null, submissionFirstDecision=null, sciSubjectClassification=null, casSubjectClassification=null, citeScore=null, totalCitationFrequency=null, icpCode=null, psCode=null, advertisingLicenseCode=null, copyrightInformation=null, country=null, option=, provinceCode=null, provinceName=null, collectFlag=false, interPubPlatform=, interPubPlatformUrl=null), detailUrlCn=https://castjournals.cast.org.cn/joweb/kjdb/CN/10.3981/j.issn.1000-7857.2017.14.007, detailUrlEn=https://castjournals.cast.org.cn/joweb/kjdb/EN/10.3981/j.issn.1000-7857.2017.14.007, pdfUrlCn=https://castjournals.cast.org.cn/joweb/kjdb/CN/PDF/10.3981/j.issn.1000-7857.2017.14.007, pdfUrlEn=https://castjournals.cast.org.cn/joweb/kjdb/EN/PDF/10.3981/j.issn.1000-7857.2017.14.007, aliStartDate=null, aliEndDate=null, collectionFlag=false, citedCount=null, citedUrl=null, previewStatus=0, delFlag=0, hasFullText=0, orderTime=1501171200000, fullTextJson=null, articleText=null, reference=null)
科技导报
|专题论文
2017
, 35
(14) :
56
-62
统一混合模型网络的熵——揭开复杂系统复杂性表现
全屏
李永, 方锦清, 刘强
作者信息
中国原子能科学研究院核技术应用研究所, 北京 102413
通讯作者:
方锦清(通信作者),研究员,研究方向为网络科学及其应用,电子信箱:fjq96@126.com
作者简介:
李永,副研究员,研究方向为复杂网络理论与应用,电子信箱:liyong401@163.com
An entropy approach to complexity of networks generated with the unified hybrid network model:Complexity of complex systems
LI Yong, FANG Jinqing, LIU Qiang
Affiliations
Department of Nuclear Technology Application, China Institute of Atomic Energy, Beijing, 102413, China
出版时间: 2017-07-28
doi: 10.3981/j.issn.1000-7857.2017.14.007
文章导航
统一混合网络理论模型引入4个混合比,对复杂网络相关的随机性、确定性、变速增长进行调控,这样更符合随机性与确定性统一的现实世界网络。总结了复杂网络的3种类型熵:Boltzmann-Gibbs熵、非广延熵S q 和开放网络的熵与混合比之间的关系。熵从本质上揭示了网络的熵变与无标度网络的幂律指数之间的函数关系,阐明了复杂网络的演化机制及复杂性变化的特点。
统一混合网络理论模型
/
3种类型的熵
/
混合比
Four hybrid ratios are introduced into the unified hybrid network model. They are more in line with the randomness, the uncertainty and the variable growing in the real world network. This paper discusses three types of entropy of complex networks:the Boltzmann-Gibbs entropy (BGS), the extensive entropy Sq, and the open network entropy, as well as the relationship between the entropy and the hybrid ratios. From the essence of entropy, the function expression between the changing entropy of the network and the power-law of the scale-free network is revealed. Also the characteristics of the evolution mechanism and the complexity of the network are expounded.
unified hybrid network theory models
/
three types of entropy
/
hybrid ratios
李永, 方锦清, 刘强.
统一混合模型网络的熵——揭开复杂系统复杂性表现.
科技导报,
2017
, 35
(14)
: 56
-62
.
DOI: 10.3981/j.issn.1000-7857.2017.14.007
LI Yong, FANG Jinqing, LIU Qiang.
An entropy approach to complexity of networks generated with the unified hybrid network model:Complexity of complex systems[J].
Science & Technology Review ,
2017
, 35
(14)
: 56
-62
.
DOI: 10.3981/j.issn.1000-7857.2017.14.007
2017年第35卷第14期
PDF下载
296
47
引用本文
BibTeX
文章信息
doi: 10.3981/j.issn.1000-7857.2017.14.007
接收时间:2017-05-11
首发时间:2017-07-29
出版时间:2017-07-28
收稿日期:2017-05-11
修回日期:2017-07-11
通讯作者:
方锦清(通信作者),研究员,研究方向为网络科学及其应用,电子信箱:fjq96@126.com
https://castjournals.cast.org.cn/joweb/kjdb/CN/10.3981/j.issn.1000-7857.2017.14.007
复制链接
引用本文
BibTeX
2种不同金属材料的力学参数
科 Family 属数 Number of genus 种数 Number of species 占总种数比例 Percentage of total species (%) 属 Genus 种数 Number of species 占总种数比例 Percentage of total species (%) 鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78 小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39 多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39 红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87 小菇属 Mycena 11 5.26 光柄菇属 Pluteus 5 2.39 红菇属 Russula 17 8.13 栓菌属 Trametes 5 2.39
关闭全屏
BibTeX
EndNote
RefWorks
TxT