单纯复形在复杂系统中的应用研究
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作者[塞尔] 所罗波顿·马莱蒂奇,赵毅
出版社哈尔滨工业大学出版社
ISBN9787560363073
出版时间2017-05
版次1
装帧平装
开本16开
纸张胶版纸
页数160页
字数99999千字
定价49.8元
货号7538662
上书时间2024-09-26
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基本信息
书名:单纯复形在复杂系统中的应用研究
定价：49.8元
作者:[塞尔] 所罗波顿·马莱蒂奇,赵毅
出版社：哈尔滨工业大学出版社
出版日期：2017-05-01
ISBN：9787560363073
字数：210000
页码：160
版次：1
装帧：平装
开本：16开
商品重量：
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内容提要
For the last few decades researchers from different fields gather their findings andknowledge trying to give a shape to the new science of complex systems. To address thisproblem， new tools and methods have to be established. We propose a new， or more precisely analternative， framework for the characterization of complex system. In thiook we will give anintroduction of applicability of simplicial complexes in the science of complex systems. Afterintroducing of main definitions and properties of simplicial complexes necessary forrepresentation and analysis of complex systems， we will illustrate the usefulness and versatilityof tools and concepts related to the simplicial complexes. In the broad sense the exposition willcover several typical manifestations of complex systems， that is， emerging psychological spaceof opinions and their exchange， topological description of complex networks， and topologicalinvariability in dynamical systems. Thiook sets a stage and serves as a starting point toinspire readers. This is always the authors' intention and wish.
目录
1 Introduction1．1 Complex system1．2 Complex networks1．3 Simplicial ComplexesBibliography2 The World of Simplicial Complexes2．1 Geometric simplicial complex2．2 Abstract simplicial complex2．3 Simplicial complex via relation2．4 Characterization of simplicial complexes2．5 SummaryBibliography3 How Do We Build Simplicial Complexes3．1 From complex networks （graphs）3．2 From data in metric space3．3 From time series3．4 SummaryBibliography4 Several Applications of Simplicial Complexes4．1 Opinion exchange modeling4．2 Topological description of the air traffic control network4．3 Topological properties of dynamical systems4．4 Instead of summary： Potential contributions to aeronautical scienceBibliography5 Take-home Messages5．1 Brief book summary5．2 Suggestions for further reading
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