浅析动态几何中的折线问题

纵观近年的中考试题,动态几何可谓是大行其道,而其中的折线问题更是因为形式新颖,方法灵活,综合性强,区分度高,受到命题者的青睐.现对此类题型加以归类,供大家参考.     

Stochastic Resonance in a Time-Delayed Mono-Stable System with Multiplicative and Additive Noise

The stochastic resonance （SR） in a time-delayed mono-stable system driven by multiplicative white noise, additive white noise, additive dichotomous noise as well as a periodic square-wave signal is considered from the view of the signal-to-noise ratio （SNR）. It is found that the SNR increases monotonically with the increase of the delay time. The SNR exhibits the SR behavior when it is plotted as a function of intensities of the noises, displaying the asymmetry of the dichotomous noise. The SNR varies non-monotonically with the increase of the system parameter and the amplitude of the input square-wave signal.     

Pure Multiplicative Noises Induced Population Extinction in an Anti-tumor Model under Immune Surveillance

The dynamical characters of a theoretical anti-tumor model under immune surveillance subjected to a pure multiplicative noise are investigated. The effects of pure multiplicative noise on the stationary probability distribution （SPD） and the mean first passage time （MFPT） are analysed based on the approximate Fokker-Planck equation of the system in detail. For the anti-tumor model, with the multiplieative noise intensity D increasing, the tumor population move towards to extinction and the extinction rate can be enhanced. Numerical simulations are carried out to check the approximate theoretical results. Reasonably good agreement is obtained.     

Could one single dichotomous noise cause resonant activation for exit time over potential barrier？

This paper studies the mean first passage time （or exit time, or escape time） over the non-fluctuating potential harrier for a system driven only by a dichotomous noise. It finds that the dichotomous noise can make the particles escape over the potential barrier, in some circumstances; but in other circumstances, it can not. In the case that the particles escape over the potential harrier, a resonant activation phenomenon for the mean first passage time over the potential barrier is obtained.     

降低轴流风机噪声的两种方法

本文对轴流风机的噪声源进行了理论和实验分析,对降低风机噪声的方法进行了总结。在此基础上,研究了降低风机噪声的两种新方法——叶片不等距分布方法和叶片穿孔方法。理论分析和实验结果表明,这两种方法为降低轴流风机噪声提供了新的途径。     

运动涡旋脉冲引起的光学畸变

 主要研究了气动噪声对光传输和成像的影响。流场求解采用法福尔平均N-S方程，并分别利用基于MUSCL格式的AUSMPW+分裂和二阶中心格式对流通量和粘性通量进行离散处理；用四步四阶Runge-Kutta格式对方程进行时间推进求解，采用J-B两方程模型并经Sarkar方法进行可压缩修正后用于湍流的数值模拟。采用基于光学传递函数的物理光学方法分析平均流动和湍流对光质的影响。研究表明：涡脉冲在运动过程中会引起光束沿涡脉冲运动方向产生较大的整体偏折，偏折幅度随时间而变，最大偏折幅度可以达到1.7 μrad；在与涡脉冲运动的垂直方向，整体偏折基本可以忽略不记。在涡脉冲横穿光束的过程中，平均流动会导致焦平面光强峰值有两次下降，平均流动对光强重新分布的影响比湍流脉动影响更强。涡脉冲在运动过程中，先导致光束能量在与涡脉冲运动垂直的方向上扩散，随后使之在涡脉冲运动方向上向外转移。因能量向外扩散，导致Strehl比在0.9 s时刻降低到0.60左右。     

HgBCO和PrBCO的正常态的1/f噪声研究

在１００ ～３００Ｋ温度范围内测量了Ｈｇ１２１２ 相块材和薄膜样品的正常态的１／ｆ 噪声,结果显示高质量薄膜的噪声水平为１０４ 量级,已和ＹＢＣＯ 外延膜及单晶相近．还测量了ＰｒＢａ２Ｃｕ３Ｏ７ － δ（ＰｒＢＣＯ） 微桥样品１／ｆ 噪声的尺寸依赖性,发现在ａｂ 面上,存在着与涨落相关的特征尺度,约为１０２μｍ 的量级．样品宽度降到该尺寸以下时,噪声水平急剧下降．在两个体系中,实验结果均和ＤｕｔｔａＨｏｒｎ 热激活模型进行了比较．     

声致生物学效应

本文较全面的介绍了声致生物效应的研究内容，包括超声生物效应，次声生物效应以及噪声生物效应，并综述了近年来这三个方面的研究进展．简要地分析了其作用机理与一些疾病的关系．文章最后阐述了声致生物效应研究的意义．     

A Spatiotemporal-Chaos-Based Cryptosystem Taking Advantage of Both Synchronous and Self-Synchronizing Schemes

Two-dimensional one-way coupled map lattices are used for cryptography where multiple space units producechaotic outputs in parallel. One of the outputs plays the role of driving for synchronization of the decryption sys-tem while the others perform the function of information encoding. With this separation of functions the receivercan establish a self-checking and self-correction mechanism, and enjoys the advantages of both synchronous andself-synchronizing schemes. A comparison between the present system with the system of advanced encryptionstandard (AES) is presented in the aspect of channel noise influence. Numerical investigations show that oursystem is much stronger than AES against channel noise perturbations, and thus can be better used for securecommunications with large channel noise.     

控制颈部开口横截面积的可变共振型消声装置

以前,大多数消声器都是被动式的。而最近对主动式消声器的研究日益多起来了。主动式消声法可分两种方式:一种是采用扬声器等做附加声源,产生与应消去噪声的声压波形反相位的声压波形,使两者相互抵消的方式。这种方式,从理论上说,在相当宽的低频带范围具有消声能力。但是,实际上存在着附加声源的耐久性及其所产生低频波等有关问题。另一种是根据声噪声的频率特性调整消声器的形状方式。本文就是研究这种方式加上控制技术的可变共振腔消声法。这是根据周期性噪声的周期变化,改变共振型消声器的共振腔容积,使共振频率跟踪噪声的主要频率,让共振型消声器的消声能力最大限度地发挥出来。这