激光等离子体微推进技术的研究进展

为了加快激光等离子体微推进技术(μLPP)在航天领域的应用,介绍了该项技术近10年的发展状况。讨论了激光等离子体微推进技术发展过程中衍生出的各种工作模式,并简略分析了不同工作模式的优缺点。着重介绍了靶特性对激光微推进性能的影响,包括靶材的选择、靶的结构、靶材掺杂,以及靶物相特性等。针对该项技术的最终发展目标是研制微小卫星姿轨控的激光等离子体微推力器(μLPT),介绍并分析了美国Phipps小组开展的激光微推力器的研制工作。最后,指出了激光等离子体微推进技术目前存在的一些问题,并展望了它的发展前景。     

开放式复杂航空网络系统的动力学演化

本文首先实证研究了中国航空网(CAN)与外部经济环境,即国民生产总值(GDP)的相关性,进而揭示CAN的演化方式及其拓扑特征的起源.发现自1998年起网络节点的度与其GDP成线性关系,表明了网络拓扑与经济因素有密切的联系,且CAN的度演化服从类似于多重过程(multiplicative process)的模式,而该模式又强烈依赖于GDP的增长率.这种独特的模式暗示了CAN具有类似适应度模型的微观机理.通过对演化方程的研究发现:1)CAN在增长过程中,节点加入的时刻具有经济上的偏好性,即节点加入的时刻与该节 关键词： 国民生产总值(GDP) 中国航空网(CAN) 双段幂率分布 多重过程     

Random attractors for stochastic reaction‐diffusion equations with multiplicative noise in

In this paper, we study the random dynamical system generated by a stochastic reaction‐diffusion equation with multiplicative noise and prove the existence of an ‐random attractor for such a random dynamical system. The nonlinearity f is supposed to satisfy some growth of arbitrary order .     

特征标次数图是一种连通图的单群

对有限单群G,假设其不可约特征标次数图Δ(G)连通,且图顶点集ρ(G)=π_1∪π_2∪{p},其中|π_1|,|π_2|≥1,π_1∩π_2=θ,且π_1与π_2中顶点不相邻.证明了Δ(G)满足上面的假设的有限单群G只有4种:M_(11),J_1,PSL_3(4)或²B_2(q2B_2(q²),其中q2),其中q²一1是Mersenne素数.     

A parametric successive underestimation method for convex multiplicative programming problems

This paper addresses itself to the algorithm for minimizing the product of two nonnegative convex functions over a convex set. It is shown that the global minimum of this nonconvex problem can be obtained by solving a sequence of convex programming problems. The basic idea of this algorithm is to embed the original problem into a problem in a higher dimensional space and to apply a branch-and-bound algorithm using an underestimating function. Computational results indicate that our algorithm is efficient when the objective function is the product of a linear and a quadratic functions and the constraints are linear. An extension of our algorithm for minimizing the sum of a convex function and a product of two convex functions is also discussed.     

Evaluating Binomial Character Sums Modulo Powers of Two

We show that for any mod 2m characters, χ1, χ2, the complete exponential sum,∑~(2m)_(x=1)χ1(x)χ2(Ax~k+ B) has a simple explicit evaluation.     

Studies of the regioselective ring-opening–closing mode of functionally different thiazolidine type enaminones: en route to the synthesis of trithiaazapentalene derivatives

Trithiaazapentalene derivatives were prepared by the reaction of 2-alkylidene-4-oxothiazolidines with Lawesson's reagent. They are classified as two structurally different trithiaazapentalene compounds that have different contributions of monocyclic 1,2-dithiole and 1,2,4-dithiazole structures and degrees of aromaticity of the bicyclic trithiaazapentalene system. The electron-donating ability of substituents at the C(5) position of the trithiaazapentalene system is recognized as the main cause for changes in π-electron distribution. This is the first complete study of substituent effects on the structure of trithiapentalenes.     

Manageability of Multiplicative Unitaries Associated with Double Lie Groups

We prove that unitary multiplicative operators associated with double Lie groups are manageable.     

Bivariant Chern character and longitudinal index

In this paper we consider a family of Dirac-type operators on fibration P→B equivariant with respect to an action of an étale groupoid. Such a family defines an element in the bivariant K theory. We compute the action of the bivariant Chern character of this element on the image of Connes' map Φ in the cyclic cohomology. A particular case of this result is Connes' index theorem for étale groupoids [A. Connes, Noncommutative Geometry, Academic Press, 1994] in the case of fibrations.     

Singular Supports for Character Sheaves on a Group Compactification

Let G be a semisimple adjoint group over C and Ḡ be the De Concini–Procesi completion of G. In this paper, we define a Lagrangian subvariety Λ of the cotangent bundle of Ḡ such that the singular support of any character sheaf on Ḡ is contained in Λ. Received: May 2006, Accepted: November 2006