Spiking patterns of a hippocampus model in electric fields

We develop a model of CA3 neurons embedded in a resistive array to mimic the effects of electric fields from a new perspective. Effects of DC and sinusoidal electric fields on firing patterns in CA3 neurons are investigated in this study. The firing patterns can be switched from no firing pattern to burst or from burst to fast periodic firing pattern with the increase of DC electric field intensity. It is also found that the firing activities are sensitive to the frequency and amplitude of the sinusoidal electric field. Different phase-locking states and chaotic firing regions are observed in the parameter space of frequency and amplitude. These findings are qualitatively in accordance with the results of relevant experimental and numerical studies. It is implied that the external or endogenous electric field can modulate the neural code in the brain. Furthermore, it is helpful to develop control strategies based on electric fields to control neural diseases such as epilepsy.     

ON SEMILOCAL CONVERGENCE OF INEXACT NEWTON METHODS

Inexact Newton methods are constructed by combining Newton＇s method with another iterative method that is used to solve the Newton equations inexactly. In this paper, we establish two semilocal convergence theorems for the inexact Newton methods. When these two theorems are specified to Newton＇s method, we obtain a different Newton-Kantorovich theorem about Newton＇s method. When the iterative method for solving the Newton equations is specified to be the splitting method, we get two estimates about the iteration steps for the special inexact Newton methods.     

LIMITED MEMORY BFGS METHOD FOR NONLINEAR MONOTONE EQUATIONS

In this paper, we propose an algorithm for solving nonlinear monotone equations by combining the limited memory BFGS method （L-BFGS） with a projection method. We show that the method is globally convergent if the equation involves a Lipschitz continuous monotone function. We also present some preliminary numerical results.     

STRUCTURES OF CIRCULANT INVERSE M-MATRICES

In this paper, we present a useful result on the structures of circulant inverse Mmatrices. It is shown that if the n × n nonnegative circulant matrix A = Circ[c0, c1,… , c（n- 1）] is not a positive matrix and not equal to c0I, then A is an inverse M-matrix if and only if there exists a positive integer k, which is a proper factor of n, such that cjk 〉 0 for j=0,1…, [n-k/k], the other ci are zero and Circ[co, ck,… , c（n-k）] is an inverse M-matrix. The result is then extended to the so-called generalized circulant inverse M-matrices.     

一种改进权重的非局部均值滤波算法

传统非局部均值滤波算法采用指数型加权核函数,容易导致图像细节平滑过度,并且权值分配容易受到噪声的影响。针对这一问题,提出一种改进权重的非局部均值滤波算法,设计一种新的加权核函数替代原本的指数型核函数,改善权值的分配。实验结果表明,改进算法降噪效果优于传统非局部均值滤波算法,在滤除噪声的同时更好地保护了图像的边缘与细节,并且噪声强度越大,改进算法的优势越明显。     

L波段高功率线极化径向线阵列天线理论分析与数值模拟

 探索了L波段的高功率线极化径向线阵列天线。基于三角形栅格形式实现了径向线圆形平面阵列天线,分析并给出了径向线并联馈电网络,并以同轴馈电的水平单圆环线极化天线为基础,利用径向线并联馈电网络设计出了间距小于一个波长下L波段高功率线极化径向线阵列天线。研究结果表明：这种结构实现径向线阵列天线的线极化辐射是可行的,该天线在中心频率1.57 GHz下,增益为19.97 dBi,轴比为-52.06 dB,反射系数为0.105 2;在1.37～1.77 GHz的频率范围内增益大于18.64 dBi,轴向轴比值小于-46.45 dB。     

非均匀介质中波的传播的一维模拟：锥形弹簧中纵波的实验研究

一、引言普物实验中,对波的传播规律的研究,都是用驻波法在均匀介质中实现的。例如弦振动实验和测定空气中声速的实验。在演示实验中,还有纵波在圆柱形弹簧中传播的实验。但都未涉及非均匀介质的情况。笔者也用驻波法,对锥形弹簧中纵波的传播规律作了实验探讨,得到了传播速度的经验公式。作为研究非均匀介质中波的传播规律的实验,它可以安排到课堂演示和普物实验教学课程中去。     

CH3NH3PbI3钙钛矿薄膜阵列光电探测器

将光电性能优异、可通过低温溶液法制备的卤化物钙钛矿制成阵列型光电探测器,必将推动其在成像、光通信等领域中的应用。然而,卤化物钙钛矿易被常规溶剂(包括显影液)溶解,导致其与光刻工艺不兼容。自组装单分子疏水层结合光刻工艺的亲水-疏水图形基底制备方法能解决制备过程中极性溶剂与钙钛矿材料不兼容的问题,通过简单的旋涂(极性钙钛矿前驱体溶液仅在亲水图形区域浸润)、低温退火,可以快速获得钙钛矿阵列。CH₃NH₃PbI₃薄膜阵列光电探测器具有良好的光电性能, 530 nm光辐照下探测率为4.7×10¹¹ Jones,响应度为0.055 A/W。这项工作为制备图案可控的钙钛矿薄膜阵列光电探测器提供了一种简单而有效的策略。     

基于纠缠源的非线性贝尔不等式研究

相较于线性贝尔(Bell)不等式,非线性Bell不等式作为一种判据提供了一种新的判别量子关联的方法,利用非线性Bell不等式来研究纠缠态的性质具有重要的现实意义。考虑带有噪声参数的纠缠态可以模拟实际的量子通信过程,通过Matlab进行数值优化找到相应态的最优测量算符,研究了噪声参数对非线性Bell不等式违背的影响。研究结果表明带有噪声的纠缠态在特定情况下也可以违背非线性Bell不等式,而且测量数量越多,对纠缠态的要求越苛刻,这对于实际实验中态的选取与制备具有重要的借鉴和参考意义。     

探寻社会学理论发展的非经验主义道路

默顿倡导以中层理论为中介来联结社会学的经验研究和一般理论研究,推动社会学理论的合理发展,这一倡导具有合理性。但是默顿试图通过以经验研究为基础优先发展中层理论,然后再通过对中层理论进行归纳来形成一般理论这种经验主义策略进而实现这一目标的想法却可能是错误的。正如中层理论并非从经验事实中归纳得来一样,一般理论也难以从中层理论中归纳而来。我们需要探索一条非经验主义的社会学理论发展道路。