Nonlinear analysis of traffic continuum jams in an anisotropic model

This paper presents our study of the nonlinear stability of a new anisotropic continuum traffic flow model in which the dimensionless parameter or anisotropic factor controls the non-isotropic character and diffusive influence. In order to establish traff~c flow stability criterion or to know the critical parameters that lead, on one hand, to a stable response to perturbations or disturbances or, on the other hand, to an unstable response and therefore to a possible congestion, a nonlinear stability criterion is derived by using a wavefront expansion technique. The stability criterion is illustrated by numerical results using the finite difference method for two different values of anisotropic parameter. It is also been observed that the newly derived stability results are consistent with previously reported results obtained using approximate linearisation methods. Moreover, the stability criterion derived in this paper can provide more refined information from the perspective of the capability to reproduce nonlinear traffic flow behaviors observed in real traffic than previously established methodologies.     

散斑自相关分辨率测量和修正

散斑相关是许多基于散斑的光学测量和成像技术的基础,决定了光学系统的分辨率。当前散斑尺寸（颗粒度或分辨率）的理论描述不够精确,也缺乏实验验证。探究了散斑图样自相关尺寸的影响因素,与相同数值孔径物镜聚焦进行比对,揭示薄散射介质的“散射透镜”性质。通过散斑自相关和透镜聚焦尺寸的多组测量,结果表明,截趾函数会影响其分辨率,需要根据具体光路对阿贝判据做修正。对基于散斑的测量和成像技术具有一定的参考价值。     

一类自调节免疫的时滞病毒感染模型分析

针对病毒在感染宿主的过程中,细胞免疫的时间滞后、非线性发生率、自调节免疫等因素往往同时出现的问题,建立了具有饱和发生率和自调节免疫的时滞病毒感染模型,证明了当R_0≤1,τ为任意值时,无病平衡点局部渐近稳定,当R_01时,存在唯一正平衡点,且在一定的条件下,存在-σ_00,当ττ_0时,正平衡点局部渐近稳定;当ττ_0时,正平衡点不稳定.最后,通过数值模拟验证了理论结果的正确性.     

NORMALITY CRITERIA FOR FAMILIES OF MEROMORPHIC ALGEBROID FUNCTIONS

By using the definition of Hausdorff distance, we prove some normality criteria for families of meromorphic algebroid functions. Some examples are given to complement the theory in this article.     

负系数中立型差分方程的振动性质

研究了一类负系数中立型差分方程的振动性质,得到了这类差分方程振动的判据.     

不可逆何时等于自发?

将熵、吉布斯函数、亥姆霍兹函数3个判断过程可逆性或自发性的判据统一起来,指出＂不可逆＂和＂自发＂两个概念的区别与联系,并提出一种更具操作性的判断过程自发性的方法。     

关于量子态可分性的O-约化判据

文章提出了一类纠缠目击者.它们是以局域正交可观测量的形式给出的,因而自动提供了利用局域测量和经典通信来探测纠缠的方法.利用JamioΙkowski同构得到了相应的非完全正的正映射,从而导出一类新的可分性判据———O-约化判据.约化判据和重排判据都是该判据的特例.另外,还发现O-约化判据可以通过测量局域正交可观测量的一个厄米关联矩阵来获得物理的实现.作为应用,构造了Horodecki在1997年发现的第一个束缚纠缠态的纠缠目击者的清晰形式,并且提出了一类d d束缚纠缠态,其纠缠可以通过对局域正交可观测量进行置换来探测.     

反应堆高阶κ本征方程数值计算方法的改进

针对反应堆高阶κ-本征方程数值计算问题，提出了提高计算效率和计算精度的改进方法，并以一维问题为例，对该方法进行了验证。The solution methods for the higher order oped yet in the nuclear reactor engineering. Based on harmonics and higher order eigenvalues are not well develthe analysis of the convergence process of power iteration, a new approach for setting the starting values of higher order harmonic flux has been proposed. The results of numerical tests demonstrate that the proposed method could effectively improve the efficiency of calculations of higher order harmonics. In addition, a new type of criterion that judges the convergence of higher order harmonics dynamically has been proposed, it has been verified that the new convergence criterion could effectively prevent the buildup of numerical errors introduced in the solution of lower order harmonics in the solution of higher order harmonics.     

爆破地震安全判据的缺陷与改进

分析探讨了爆破地震安全判据及其在工程中的应用 ,对其中的某些局限与不足和应用中部分误区提出了质疑 ,着重分析了频率和时间等因素对建立爆破地震安全判据的影响 ,并就进一步研究和完善现有爆破地震安全判据提出了几点建议和看法。     

机载电子设备耐振试验时间的确定与合格判据

根据新研飞机研制过程中提出的问题,论证了机载电子设备仍需进行耐振环境试验的必要性,提出了机载电子设备耐振试验时间的确定方法,并对耐振试验的合格判据进行了研究,结果表明耐振试验中,如机载设备仅发生由“一次通过破坏”或“峰值破坏”引起的功能故障,仍应判为合格通过.