Some Characterizations of Hereditarily Indecomposable Banach Spaces

In this paper we first discuss the relations between some G-M-type spaces, and the previous eight kinds of G-M-type Banach spaces are merged into four different kinds. Then we build a Generalized Operator Extension Theorem, and introduce the concept of complete minimal sequences. Some sufficient and necessary conditions under which a Banach space is a hereditarily indecomposable space are given. Finally, we give some characterizations of hereditarily indecomposable Banach Spaces.     

一般二元关系下的关系决策系统属性约简

文献[Wang C Z,Wu C X,Chen D G.A systematic study on attribute reduction with rough sets based on general binary relations.Information Sciences,178(2008),2237～2261]将基于经典粗糙集上的属性约简模型推广到基于广义粗糙集模型上,给出了关系决策系统中属性约简的判定定理和辨识矩阵.但是在属性约简模型中,支撑域的界定使模型的一般性受到限制.本文通过重新定义决策域的正域,给出了改进的决策系统属性约简判定定理和辨识矩阵,并对约简性质进行研究,实现关系决策系统基于正域的属性约简.     

一类可积非哈密顿系统的极限环数目的上界

研究了一类可积非哈密顿系统的极限环的上界,利用Abel积分证明其在一类2n+1次多项式扰动下至多可以产生n+1个极限环,并且是可以实现的.     

一类半线性双曲系统的状态观测问题

本文考虑一类半线性双曲系统的状态观测问题,给出了一个(求解)算法并证明了其在某种相当强的意义上的有效性.     

Regularity Results for the Generalized Beltrami System

Abstract For the generalized Beltrami system with two characteristic matrices, we deal with the regularity of its very weak solutions in the Sobolev class (1 < r < n). By changing the generalized Beltrami system into a class of a divergent elliptic system with nonhomogeneous items, we obtain that each of its very weak solutions is essentially a classical weak solution of a usual Sobolev class. Furthermore, we also establish a higher regularity of its weak solution if the regularity hypotheses of two characteristic matrices are improved. Supported by the National Natural Science Foundation of China (49805005) and by the research foundation of Northern Jiaotong University (2002SM061)     

一类奇摄动非线性椭圆型系统

本文讨论了一类在带形区域中的非线性椭圆型系统的奇轻边值问题,在适当的条件下 比较定理台相应边值问题解的存在性和斩近性态作了研究。     

The dynamical feature of transition of a Hamiltonian system to a dissipative system

The mechanism of generation and annihilation of attractors during transition from a Hamiltonian system to a dissipative system is studied numerically using the dissipative standard map. The transient process related to the formation of attracting basins of periodic attractors is studied by discussing the evolution of the KAM tori of the standard map. The result shows that as damping increases, attractors are mainly generated from elliptic orbits of the Hamiltonian system and annihilated by colliding with unstable periodic orbits originating from the corresponding hyperbolic orbits of the Hamiltonian system. The transient process also exhibits the general feature of bifurcation.     

同轴嵌套四螺管型1MJ超导储能磁体漏磁场研究北大核心

超导储能系统(SMES)强漏磁是影响其安全运行和大量投入使用的关键问题之一。在磁体储能值为1MJ级别的前提下,通过对超导储能磁体参数的计算和有限元分析及仿真的方法,利用两组同轴嵌套型双螺管超导磁体及磁偶极矩的研究方法建立了一个同轴嵌套四螺管型超导储能磁体并对该磁体的漏磁场进行了分析,得出该结构磁体具有极好的降低漏磁的效果。     

离散差分序列变质量力学系统的Mei对称性

研究离散差分序列变质量力学系统的Mei对称性与守恒量.定义离散系统的差分序列方程在无限小变换群下的形式不变性为Mei对称性. 给出由Mei对称性得到守恒量的判据. 举例说明结果的应用. 关键词： 离散力学 变质量系统 Mei对称性 离散守恒量     

曝光系统离焦对平面全息光栅衍射波前的影响

波前像差是衍射光栅的重要技术指标，它直接影响光栅的分辨率。由光致刻蚀剂记录两束相干光干涉条纹是制作全息光栅的关键步骤。为了提高全息光栅曝光系统调整精度、减小离焦、降低光栅的衍射波前像差，从离焦对反射球面准直镜的准直光平行度的影响程度出发，分析了准直光平行度对全息光栅衍射波前像差的影响。理论分析和数值模拟结果表明，准直镜调整误差直接决定全息光栅衍射波前像差大小。以3种不同刻线密度光栅为例，得出了准直镜调整误差的允许变化范围。