Stabilization of Unstable Limit Cycles in Systems with Limited Controllability: Expanding the Basin of Convergence of OGY-Type Controllers

The underlying geometric structure of the standard OGY control scheme is analyzed. Some of the main mechanisms that under certain conditions lead to failure of the control algorithm are revealed. The limited controllability available in a system is investigated and it is shown that it may lead to serious problems that will significantly enlarge the state space region of failure of the standard OGY controller. A minimal distance algorithm is analyzed and shown to be, for some problems, more advantageous than the standard OGY technique. Nevertheless, for a broad category of problems, the minimal distance scheme is also shown to fail. As a solution for these problems, two new techniques are proposed: the penalized minimal distance and the multi-step OGY-type scheme. The standard OGY and minimal distance algorithms are particular cases of the new techniques proposed. Finally, we give a necessary condition that estimates the region of controllability under the multi-step OGY-type control. We demonstrate a significantly improved basin of convergence for the new multi-step OGY-type algorithm.     

Investigation of the rarefied gas flow around a circular cylinder in stationary and oscillatory regimes

Numerically, on the basis of the Krook kinetic equation, the rarefied gas flow around a circular cylinder is investigated in stationary and oscillatory regimes. The flows around a rotating cylinder and a cylinder with a nonuniformly heated surface are considered. The Knudsen numbers at which the lift force acting on the rotating cylinder changes sign are calculated. It is shown that at low Knudsen numbers a lift force acts on the nonuniformly heated cylinder.     

小镜法准直正支共焦非稳腔

介绍了小镜法准直正支共焦非稳腔的原理、方法和步骤,并将它与传统使用的几种方法进行了比较。实验分析结果表明：小镜法除兼容其它方法的优越性外,还特别适合于需要确定强激光束场焦点位置的场合。     

均匀化位相的常规非稳腔的分析与实验

对常规非稳腔的输出镜面进行改造,在原来不透光的中央区域引入增透膜,使之能部分透过,使输出耦合能的比例得到提高;同时加敷适当的位相膜,使中央区与环带区波面位相拉平些。着重报导了均匀化相位常规非稳腔的系列实验和分析,从而使常规非稳腔的环带输出引起的中央不透明区与外环带输出波面的位相突变得到改善,克服了远场能量分布出现较严重离散的问题,使远场中央亮斑能量更集中。     

一类二阶带阻尼项的不稳定型差分方程的振动性与非振动性

应用分类讨论方法和分析方法,讨论了一类广泛的二阶非线性差分方程解的振动性与非振动性,推广并改进了已有文献中的相关结果.     

水冷式离焦变形镜技术研究

根据非稳腔薄片激光器腔内离焦的特点和主动校正的应用需求,针对性地设计离焦变形镜,对激光器腔内离焦进行实时补偿。采用压电陶瓷作为驱动器,圆形镜面圆心处设置1个驱动器,圆周上均布4个驱动器的5通道布局模式,仿真分析了筋板厚度和镜片厚度对离焦的校正效果影响,在优化设计的基础上研制出水冷式离焦变形镜,其静态面形PV值为0.34 m,波前动态范围为16 m。在离焦变形镜和二维变形镜组合模式下进行了薄片激光器强光主动光学校正试验,谐振腔腔内像差PV值从6.76减小到1.44,光束质量从19.5提高到6.5,有效地改善了输出光束质量,验证了离焦变形镜对非稳腔薄片激光器离焦校正的有效性和实用性。     

超强场下的正负电子对产生

随着现代强激光技术的迅速发展,激光场强已经进入到了强相对论区域,并正在向产生正负电子对的施温格临界场强逼近。文章着重介绍了超强场下真空失稳产生正负电子对的问题,从历史及其发展的脉络中梳理出有重要价值的研究方法和有趣的研究成果,对目前的研究现状做了综述,并对未来的研究进行展望。     

激光辐照下非稳腔镜变形对激光模式的影响

分析了正支虚共焦非稳腔中腔镜变形对激光模式的影响,采用时间离散化、快速傅里叶变换（FFT）和有限元分析(FEA)方法解决腔镜变形和激光模式两者之间的耦合问题。计算结果表明,随着激光器工作时间的增加,腔镜温升和变形相应增大,谐振腔模式变差,输出光场相位均匀性变差,呈现散焦现象,输出光束质量下降。实验验证了激光器输出光束质量随出光时间的延长而逐渐变坏。     

Static observables of relativistic three-fermion systems with instantaneous interactions

We show that static properties like the charge radius and the magnetic moment of relativistic three-fermion bound states with instantaneous interactions can be formulated as expectation values with respect to intrinsically defined wave functions. The resulting operators can be given a natural physical interpretation in accordance with relativistic covariance. We also indicate how the formalism may be generalized to arbitrary moments. The method is applied to the computation of static baryon properties with numerical results for the nucleon charge radii and the baryon octet magnetic moments. In addition, we make predictions for the magnetic moments of some selected nucleon resonances and discuss the decomposition of the nucleon magnetic moments in contributions of spin and angular momentum, as well as the evolution of these contributions with decreasing quark mass.