《单纯复形在复杂系统中的应用研究》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。
《单纯复形在复杂系统中的应用研究》由哈尔滨工业大学出版社出版。
目录
1 Introduction
1.1 Complex system
1.2 Complex networks
1.3 Simplicial Complexes
Bibliography
2 The World of Simplicial Complexes
2.1 Geometric simplicial complex
2.2 Abstract simplicial complex
2.3 Simplicial complex via relation
2.4 Characterization of simplicial complexes
2.5 Summary
Bibliography
3 How Do We Build Simplicial Complexes
3.1 From complex networks (graphs)
3.2 From data in metric space
3.3 From time series
3.4 Summary
Bibliography
4 SeveraIApplications of Simplicial Complexes
4.1 Opinion exchange modeling
4.2 Topological description of the air traffic control network
4.3 Topological properties of dynamical systems
4.4 Instead of summary: Potential contributions to aeronautical science
Bibliography
5 Takehome Messages
5.1 Briefbook summary
5.2 Suggestions for further reading