Complexity,Forced and/or Self-Organized Criticality,and Topological Phase Transitions in Space Plasmas

The first definitive observation that provided convincing evidence indicating certain turbulent space plasma processes are in states of ‘complexity’ was the discovery of the apparent power-law probability distribution of solar flare intensities. Recent statistical studies of complexity in space plasmas came from the AE index, UVI auroral imagery, and in-situ measurements related to the dynamics of the plasma sheet in the Earth's magnetotail and the auroral zone. In this review, we describe a theory of dynamical ‘complexity’ for space plasma systems far from equilibrium. We demonstrate that the sporadic and localized interactions of magnetic coherent structures are the origin of ‘complexity’ in space plasmas. Such interactions generate the anomalous diffusion, transport, acceleration, and evolution of the macroscopic states of the overall dynamical systems. Several illustrative examples are considered. These include: the dynamical multi- and cross-scale interactions of the macro-and kinetic coherent structures in a sheared magnetic field geometry, the preferential acceleration of the bursty bulk flows in the plasma sheet, and the onset of ‘fluctuation induced nonlinear instabilities’ that can lead to magnetic reconfigurations. The technique of dynamical renormalization group is introduced and applied to the study of two-dimensional intermittent MHD fluctuations and an analogous modified forest-fire model exhibiting forced and/or self-organized criticality [FSOC] and other types of topological phase transitions. This revised version was published online in August 2006 with corrections to the Cover Date.     

A Class of TVD Type Combined Numerical Scheme for MHD Equations With a Survey About Numerical Methods in Solar Wind Simulations

It has been believed that three-dimensional, numerical, magnetohydrodynamic (MHD) modelling must play a crucial role in a seamless forecasting system. This system refers to space weather originating on the sun; propagation of disturbances through the solar wind and interplanetary magnetic field (IMF), and thence, transmission into the magnetosphere, ionosphere, and thermosphere. This role comes as no surprise to numerical modelers that participate in the numerical modelling of atmospheric environments as well as the meteorological conditions at Earth. Space scientists have paid great attention to operational numerical space weather prediction models. To this purpose practical progress has been made in the past years. Here first is reviewed the progress of the numerical methods in solar wind modelling. Then, based on our discussion, a new numerical scheme of total variation diminishing (TVD) type for magnetohydrodynamic equations in spherical coordinates is proposed by taking into account convergence, stability and resolution. This new MHD model is established by solving the fluid equations of MHD system with a modified Lax-Friedrichs scheme and the magnetic induction equations with MacCormack II scheme for the purpose of developing a combined scheme of quick convergence as well as of TVD property. To verify the validation of the scheme, the propagation of one-dimensional MHD fast and slow shock problem is discussed with the numerical results conforming to the existing results obtained by the piece-wise parabolic method (PPM). Finally, some conclusions are made. This revised version was published online in August 2006 with corrections to the Cover Date.     

TVC/PSM飞机的过失速动态边界及敏捷性分析

以飞机为质点，考虑在最少输入数据情况下，曲于转弯速率图并从能量的角度计算和分析了TVC/PSM飞机的过失速动态边界，选取敏捷性尺度空战周期时间和指向裕度，对比分析了TVC/PSM飞机和传统飞机的敏捷性，得出了一些有益的结论，并提出了一些建议。     

Performance of a two-layer LEO satellite communication network

A novel two-layer low Earth orbiting (LEO) satellite network is proposed. Comparing with a single layer global network, not only the system performance is improved but also the number of satellites can be reduced. The main ideas include (1) to raise the altitude of the original global network, and (2) to add several satellites at lower altitude to form a regional network to serve calls from the areas of heavy traffic. In order to fully utilize the benefits of the two-layer network, additional functions such as adjustable beam and dynamic channel management are added. Call blocking rate is derived. Numerical examples are provided to demonstrate several interesting phenomena.     

航空发动机百年回顾

本系统回顾了航空发动机的百年发展，可供航空史研究参考。     

ESF的Transition区谱分布特性

本文提出了研究Transition区谱分布的静电模型,并按等离子体弱耦强湍理论对其重正化得到了谱方程.对谱方程作适当近似后,证明了该近似谱方程存在扰动密度谱为k~(-5),扰动电场谱为k~(-3)分布的解,从而定量解释了Transition区的实验谱分布结果.     

时分式平面—立体电视图像转换器

时分式平面－立体电视图像转换器是由视频图像信号处理电路、控制信号产生电路和液晶眼镜驱动电路三部分构成，根据其构成和工作原理，可采用多种具体电路来实现。     

空气动力迟滞引起飞机横航向极限环振荡的一种近似解法

 本文给出近似解析公式,确定空气动力迟滞引起的飞机横航向极限环振荡特性。计算表明,它与文献[1、2]中提出的数值迭代法求得的结果相当一致,并消除了该文中求出的滚转迟滞引起的滚转速率极限环振荡振幅不是最大幅值的缺陷。     

试论高等数学教学与 CAI

阐述了ＣＡＩ在数学教学中的重要作用，以实例说明了在ＣＡＩ实验课教学中应注意的几个方面，并对目前数学ＣＡＩ教学所面临的问题进行了探讨     

高阶对象的二阶模型匹配

本文证明了对于一类高阶对象，其输出可以用一系列系数连续变化的线性定常二阶系统的输出组合完全代替。