具有跟踪性可扩流的周期轨的双曲性

证明了具有跟踪性的可扩流在其周期轨附近的拓扑动力性质与双曲周期轨相同.     

关于正则轨道问题的一个例子

本文给出了关于正则轨道问题的一个反例.     

非扭曲异宿环分支

考虑高维系统非扭曲细异宿环分支,给出了1-同宿轨道和1-周期轨道的存在性和存在域,并得到了2-重周期轨道的分支曲面.最后,这些分支结果被应用于平面系统细异宿环,获得了新的有趣的结论.     

秩函数与K0群的状态空间

给出了局部秩与稳定自由秩的表达式,得到了一类VN正则环的元素特征.利用K₀群的状态空间,给出了K0R有关性态的本质刻画.     

The design and artificial realization of a controller of pulse coupling feedback

In this paper a controller of pulse coupling feedback (PCF) is designed to control chaotic systems. Control principles and the technique to select the feedback coefficients are introduced. This controller is theoretically studied with a three dimensional (3D) chaotic system. The artificial simulation results show that the chaotic system can be stabilized to different periodic orbits by using the PCF method, and the number of the periodic orbits are 2ⁿ× 3^mp (n and m are integers). Therefore, this control method is effective and practical.     

Conductance Oscillations in Spin Field-Effect Transistors

Ballistic spin transport in spin field-effect transistors is studied by taking into account the Rashba spinorbit coupling, interracial scattering, and band mismatch. It is shown that the spin conductance oscillation with the semiconductor channel length is a superimposition of the Rashba spin precession and spin interference oscillations. They have different oscillation periods π/κR and π/κ with κR the Rashba wavevector and κ the Fermi wavevector of the semiconductor channel, and play different parts of slow and rapid oscillations, depending upon the relative magnitude of π/κR and π/κ. Only at κ = κR does the spin conductance exhibit oscillations of a single period. Two types of different behaviors of the tunnelling magnetoresistance are discussed.     

DMSO溶剂中有机化合物pKa的定量构效关系研究

应用物质结构-性质关系(QSPR, quantitative structure-property relationships)方法研究了DMSO溶剂中45个有机化合物的pKa数值与电拓扑状态指数之间的定量关系, 并建立如下模型: pKa＝－1.545×E2＋0.633×E4－0.737×E5＋0.973×E6－4.048×E7－1.456×E8＋0.628×E9＋28.650. R＝0.991, S＝0.828. “逐一剔除”交叉验证的结果证明模型具有良好的稳定性和较强的预测能力. 研究结果表明电拓扑状态指数能够有效地预测有机化合物的pKa值.     

封面说明:首届全国深空探测竞赛

由中国力学学会、清华大学航天航空学院共同举办的``首届全国深空轨道设计竞赛颁奖大会 暨专题研讨会'于2009年5月16日在清华大学逸夫楼举行. 中国力学学会理事长李家春院士与会讲话与颁奖。李院士在发言中强调深空探测是未来各国 航天界重点发展的方向,是一个国家综合国力、整体技术实力的体现,在深空探测任务中, 力学扮演着举足轻重的角色. 该项竞赛活动为大学生、研究生提供了一个深入研究和探讨的 平台. 希望通过该项竞赛活动,为我国的深空探测领域选拔和储备后备人才. 首届竞赛的题目为``小行星探测轨迹优化设计问题',共有来自全国各地的33支队伍报名参 加. 深空飞行轨道的时间尺度很大、优化方法多样、可选的方案组合广泛,存在很多可行解, 寻找其中的最优方案是深空探测轨道设计的核心问题之一. 竞赛问题将主要考虑深空探测任 务轨道设计中的全局优化问题,模型参数将结合工程实际背景选取. 竞赛形式为公开发布题 目,根据性能指标的优劣评判名次. 本次竞赛从3月5日公布题目,要求5月16日前提交结 果,之后组织专家对各队提交的结果进行审核复算,最后评选出中科院光电研究院的参赛队 获得本届竞赛的冠军. 亚军、季军分别是来自西安测控中心、国防科技大学的参赛队。竞赛 活动优胜者获得奖杯与荣誉证书.(图文供稿:高云峰,宝音贺西,李俊峰,清华大学航天航空学院,北 京 100084)     

Persistent spin current in a quantum wire with weak Dresselhaus spin——orbit coupling

The spin current in a parabolically confined semiconductor heterojunction quantum wire with Dresselhaus spin--orbit coupling is theoretically studied by using the perturbation method. The formulae of the elements for linear and angular spin current densities are derived by using the recent definition for spin current based on spin continuity equation. It is found that the spin current in this Dresselhaus spin--orbit coupling quantum wire is antisymmetrical, which is different from that in Rashba model due to the difference in symmetry between these two models. Some numerical examples for the result are also demonstrated and discussed.     

Cluster states prepared by using hot trapped ions

We propose a scheme for the preparation of one-dimensional and two-dimensional cluster states by using hot trapped ions. The scheme is based on the interaction between two ions and bichromatic radiation. The vibrational mode in our protocol is only virtually excited so that the system is insensitive to the thermal field. In addition, we only use two levels of ions as qubits and the successful probability may achieve 100%.