Minimal Braid in Applied Symbolic Dynamics

Based on the minimal braid assumption, three-dimensionai periodic flows of a dynamical system are reconstructed in the case of unimodai map, and their topologicai structures are compared with those of the periodic orbits of the R6ssler system in phase space through the numerical experiment. The numerical results justify the validity of the minimai braid assumption which provides a suspension from one-dimensional symbolic dynamics in the Poincare section to the knots of three-dimensionai periodic flows.     

Kepler Problem in Lagrangian Formulation Discussed from Topological Viewpoint

The Kepler problem in Lagrangian formulation is discussed from the topological viewpoint. Essential points are analysed. Along the same line of thoughts, it is possible to study the Kepler problem in Hamiltonian formulation as well as in quantum mechanics from the topological viewpoint for showing quantum-classical correspondence.     

Non-Abelian Topological Excitations in Spinor Condensates

We investigate the topological defects in atomic spln-1 and spin-2 Bose-Einstein condensates by applying the homotopy group theory. With this rigorous approach we clarify the previously controversial identification of symmetry groups and order parameter spaces for the spin-1 case, and show that the spin-2 case provides a rare example of a physical system with non-Abelian line defects, and the possibility to have winding numbers of 1/3 and its multiples.     

两斑块环境中一般形式的捕食-食饵扩散生态系统的周期解

考虑周期系数的两斑块环境中一般形式的捕食-食饵扩散生态系统，系统是由3种群组成的，其中一个为捕食者，另两个为食饵种群，食饵种群间存在扩散．本文利用拓扑度连续性定理，得到了该系统正周期解存在性的充分条件．     

L-Fuzzy拓扑空间中的杨忠道定理

本文将分明拓扑学中的杨忠道定理推广到LF拓扑学中,而对Fuzzy格L不再附加 任何条件.     

Intemet路由器级拓扑测量中目标选择方法研究

为提高Intemet路由器级拓扑测量的完全性。给出了完备目标集合的定义，介绍了已有测量目标选择方法并分析其不足之处，提出了“以桩网络而不是IP地址为抽样粒度”的观点和“桩网络完全覆盖，两阶段随机选择”的完备测量目标选择方法。实验结果表明，从测量目标的角度来说。这种测量目标选择方法保证了测量的完全性。     

函数空间不变余度量性质的一个推广

本文对函数空间在集开拓扑下的不变余度量性质进行了推广,给出了函数空间在紧开拓扑和点收敛拓扑下不变余度量化的充要条件．     

LF拓扑空间的Os-θ连通性(I)

利用θ-闭包引入LF拓扑空间的Os-θ连通性概念,并研究了其若干基本性质。     

单位球面中紧致超曲面的曲率结构与拓扑性质

设M是单位球面S~(n 1)(1)中的n维(n■3)紧致连通定向超曲面,本文研究这种超曲面的曲率结构与拓扑性质,利用Lawson和Simons关于稳定k维流的不存在性与同调群消失定理,得到了曲率与拓扑的一个关系定理,从而对Cheng Q.M.所提出的一个分类问题从拓扑角度给出了一个肯定回答,并且部分肯定回答了Cheng的另一个问题.     

综合业务光环路（ISOL）系统介绍

更经济、更灵活的接入网已成为未来发展需要。本文简要介绍了发展接入网的必要性以及具有Ｖ５接口的综合业务光环路（ＩＳＯＬ）系统的结构及特性。