单纯复形在复杂系统中的应用研究

发布者:系统管理员发布时间:2017-12-13浏览次数:1108

【内容简介】

为单纯复形应用航天系统工程研究的书,单纯复形是拓扑学中的概念,指由点、线段、三角形等单纯形“粘合”而得的拓扑对象。单纯复形不应当与范畴同伦论中的单纯集合混淆。

 

【目  录】

1 Introduction

1.1 Complexsystem

1.2 Complexnetworks

1.3 SimplicialComplexes

Bibliography

2 The World ofSimplicial Complexes

2.1 Geometricsimplicial complex

2.2 Abstractsimplicial complex

2.3 Simplicialcomplex via relation

2.4Characterization of simplicial complexes

2.5 Summary

Bibliography

3 How Do WeBuild Simplicial Complexes

3.1 From complexnetworks graphs

3.2 From data inmetric space

3.3 From timeseries

3.4 Summary

Bibliography

4SeveraIApplications of Simplicial Complexes

4.1 Opinionexchange modeling

4.2 Topologicaldescription of the air traffic control network

4.3 Topologicalproperties of dynamical systems

4.4 Instead ofsummary Potential contributionsto aeronautical science

Bibliography

5 Take—homeMessages

5.1 Briefbooksummary

5.2 Suggestionsfor further reading