多偏差变元中立型Rayleigh方程周期解问题

作者研究了一类多偏差变元中立型Rayleigh方程周期解问题,利用Mawhin重合度拓展定理得到了周期解存在性的新结果.     

On the decay and blow‐up of solution for coupled nonlinear wave equations with nonlinear damping and source terms

In this work, we consider a nonlinear coupled wave equations with initial‐boundary value conditions and nonlinear damping and source terms. Under suitable assumptions on the damping terms and source terms and initial data in the stable set, we obtain that the decay estimates of the energy function is exponential or polynomial by using Nakao's method. By using the energy method, we obtain the blow‐up result of solution with some positive or nonpositive initial energy. Copyright © 2016 John Wiley & Sons, Ltd.     

Identification and control of nonlinear systems by a dissimilation particle swarm optimization-based Elman neural network

In this paper, we first present a learning algorithm for dynamic recurrent Elman neural networks based on a dissimilation particle swarm optimization. The proposed algorithm computes concurrently both the evolution of network structure, weights, initial inputs of the context units, and self-feedback coefficient of the modified Elman network. Thereafter, we introduce and discuss a novel control method based on the proposed algorithm. More specifically, a dynamic identifier is constructed to perform speed identification and a controller is designed to perform speed control for Ultrasonic Motors (USM). Numerical experiments show that the novel identifier and controller based on the proposed algorithm can both achieve higher convergence precision and speed than other state-of-the-art algorithms. In particular, our experiments show that the identifier can approximate the USM's nonlinear input–output mapping accurately. The effectiveness of the controller is verified using different kinds of speeds of constant, step, and sinusoidal types. Besides, a preliminary examination on a randomly perturbation also shows the robust characteristics of the two proposed models.     

原发性肝癌组织中TAM和MC与MV计数及病理意义

目的 研究原发性肝癌（primary hepatocarcinoma,PHC）组织中肿瘤相关巨噬细胞（tumor-associated macrophage,TAM）、肥大细胞（mast cells,MC）和微血管（microvessel,MV）的计数及其临床病理意义,并探讨了三者之间的相互关系.方法 应用ABC免疫组化法,对47例PHC手术切除标本常规石蜡包埋切片分别检测TAM、MC和MV,并高倍镜下计数.结果 47例PHC癌组织中TAM、MC和MV计数均显著高于癌旁组织（TAM：70.27±17.93个/HP vs. 44.15±9.10个/HP,P<0.01;MC：15.46±4.54个/HP vs. 8.08±2.03个/HP,P<0.01;MV：67.30±13.68个/HP vs. 37.20±10.58个/HP,P<0.01）;TAM与MV在术前AFU（α-岩藻糖）小于等于10 μg/L病例的计数显著高于AFU大于10 μg/L病例的计数(TAM：74.13±18.33个/HP vs. 61.15±13.54个/HP,P<0.05;MV：70.41±13.03个/HP vs. 59.97±12.69个/HP,P<0.05);伴转移病例癌组织中的MV计数（73.50±13.77个/HP）显著高于无转移病例(64.10±12.68个/HP,P<0.05);MC、TAM、MV在PHC中的计数与PHC其他主要临床病理特征之间均无明显关系;癌组织中TAM计数与MV计数呈正相关（P<0.01,r=0.686）,MC计数与MV计数呈正相关（P<0.05,r=0.348）.结论 MC、TAM、MV的计数与PHC 的发生、发展关系密切;MV计数高的PHC易于发生浸润和转移;TAM、MC与PHC的血管生成可能有密切的关系.     

不确定切换系统的动态输出反馈鲁棒H∞控制

研究一类由任意有限多个不确定子系统组成的切换系统的动态输出反馈鲁棒H∞控制问题.利用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,并设计了相应的子控制器和切换规则.采用消元法,将该矩阵不等式转化为一组线性矩阵不等式(LMIs).最后给出一个数值仿真实例证明结论的有效性.研究结果表明:通过切换,闭环系统在整个状态空间上的每个点都满足鲁棒H∞性能,而并不要求每个子系统在整个状态空间上都满足鲁棒H∞性能,甚至也不要求其渐进稳定.     

A Characterization of Maximally Entangled Two-Qubit States

As already known by Rana’s result, all eigenvalues of any partial-transposed bipartite state fall within the closed interval [−12,1]. In this note, we study a family of bipartite quantum states where the minimal eigenvalues of partial-transposed states are −12. For a two-qubit system, we find that the minimal eigenvalue of its partial-transposed state is −12 if and only if such a two-qubit state is maximally entangled. However this result does not hold in general for a two-qudit system when the dimensions of the underlying space are larger than two.     

不同连接方案下垂直场线圈的性能研究

基于热-结构耦合分析了欧姆热和等离子体辐照引起的垂直场线圈的温度变化,对垂直场线圈在不同连接方式下的电气参数进行了研究,提出了一种优化的线圈连接方案.计算结果表明,该优化方案有助于改善垂直场线圈的响应性能,并提高其对等离子体的控制能力.     

Quantum Inequality Bounds for Free Rarita-Schwinger Field in Flat Spacetime

Although quantum field theory allows the local energy density negative, it also places severe restrictions on the negative energy. One of the restrictions is the quantum energy inequality (QEI), in which the energy density is averaged over time, or space, or over space and time. By now temporal QEIs have been established for various quantum fields, but less work has been done for the spacetime quantum energy inequality. In this paper we deal with the free Rarita-Schwinger field and present a quantum inequality bound on the energy density averaged over space and time.Comparison with the QEI for the Rarita-Schwinger field shows that the lower bound is the same with the QEI. At the same time, we find the quantum inequality for the Rarita-Schwinger field is weaker than those for the scalar and Dirac fields. This fact gives further support to the conjecture that the more freedom the field has, the more easily the field displays negative energy density and the weaker the quantum inequality becomes.     

空间波函数的对称性对氦原子双光子双电离过程中电子关联的影响

通过数值求解含时薛定谔方程,研究了氦原子具有对称空间波函数的1s2s 1S态和具有反对称空间波函数的1s2s 3S态分别作为初态的双光子双电离过程. 结果表明,对于初态为单重态1s2s 1S的双光子双电离过程,两个电离电子的能量分布随激光脉冲持续时间的增加呈现由单峰到双峰的变化,这里的单峰和双峰分别意味着两个电离电子主要携带相等和不等的能量;然而对于初态为三重态1s2s 3S的双光子双电离过程,两个电离电子的能量分布随激光脉冲持续时间的增加总是保持双峰结构. 这些结果表明当原子的初态处于反对称空间波函数时,两电子的空间密度分布具有较少的重叠,从而导致电子在超短激光脉冲中电离时电子关联能无法平均分配.     

外腔反馈对半导体激光器振荡特性的影响

通过有效反射系数的引入，根据激光谐振腔的自再现条件和对腔内光子密度、载流子密度方程的求解，分析了外腔反馈对半导体激光器的阈值增益、振荡频率和输出功率等振荡特性的影响，并通过实验进行了验证.外腔反馈后，半导体激光器的阈值电流从420mA降为370mA，输出功率的斜率效率获得了提高，理论计算的输出功率曲线与实验结果符合的很好. 关键词： 半导体激光器 外腔反馈 振荡特性