随机

Hence we first propose a globally optimized random search algorithm and prove its asymptotic global convergence; then to improve its convergence velocity and reduce implementation complexity, we propose a practical sub-optimal random search algorithm and analyze its implementation complexity.

为此本文首先给出了一种用于OFDM符号估计的全局最优随机搜索方法，并证明了其渐进全局收敛特性；同时为了改进全局最优的随机搜索算法的收敛速度和实现复杂度，提出了一种可实现的次优的随机搜索算法，并结合实现分析了所提的次优随机算法的计算复杂度。

The results show that the period-adding bifurcation obeys the deterministic mechanism decribed by Chay model and lightly affected by stochastic factors. In the corresponding parameter region, the integer multiple spiking generates only when the stochastic factors are introduced to the model. The phenomenon is autonomous stochastic resonance.

从模拟实验结果的角度看，加周期分叉过程遵从Chay模型决定的确定性机制，随机因素对其有影响但影响较小；而在相应的参数区间，整数倍节律则是在随机因素驱动下产生，是随机共振现象，是由确定性机制和随机因素共同作用的结果。

The stochastic Bonhoeffer-Van der Pol system is first transformed into an equivalent deterministic system using the Chebyshev polynomial approximation, so that the problem of controlling stochastic chaos is reduced to the problem of controlling deterministic chaos in the equivalent system.

首先运用Chebyshev多项式逼近的方法，将随机Bonhoeffer-Van der Pol系统转化为等价的确定性系统，使原系统的随机混沌控制问题转换为等价的确定性系统的确定性混沌控制问题，继而可用Lyapunov指数指标来研究等价确定性系统的确定性混沌现象和控制问题。数值结果表明，随机Bonhoeffer-Van der Pol系统的随机混沌现象与相应的确定性Bonhoeffer-Van der Pol系统极为相似。

The text introduces the probability of random events and issues of counter-examples; discrete random variables related to the distribution and continuous random variable distribution of counter-examples; independence and related issues in the Phase capacitive on the counter-examples; number of characteristics of the random variable The counter-examples of; parameters estimates and assumptions in the anti-testing case of problems.

该文主要介绍了随机事件及其概率问题中的反例；有关离散型随机变量分布和连续型随机变量分布中的反例问题；独立性与相关性相容性问题中的反例介绍；有关随机变量数字特征的反例探讨；有关参数估计与假设检验中的反例问题。

As to the risk model with random premium rate, we concerned with discrete random variable, continuous random variable and general random variable. We derive the formula of ruin probability, the extreme during the total duration of negative surplus and the joint distribution of the surplus immediately before ruin and the deficit at ruin.

对于保费率为随机变量的一类风险模型，本文就离散的随机变量、连续的随机变量、一般的随机变量三个方面进行讨论，运用概率方法和风险理论的方法推导出破产概率、末离前最大盈余分布、破产前瞬时盈余与破产赤字的联合分布等精算量分布的一般公式。

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence. Second, the relations among some types of convergence are studied. Finally, we design some algorithms about fuzzy random simulations to compute the mean chance of fuzzy random event, find the optimistic value of a return function, and evaluate the expected value of a fuzzy random variable.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

Therefore, basic methodologies for stochastic seismic and filtering responses of nonlinear structure are studied, the approximate solution methodologies and their practical applications are investigated in the dissertation employing equivalent linearization and moment equations method based on FPK equations and Ito stochastic differential equations. The research works are mainly concerned with the following aspects:Firstly, the differential expression of bilinear hysteretic is studied and a new differential expression is developed, then they are demonstrated.

因此，本文基于FPK方程和伊藤随机微分方程，研究了滞后结构物的随机地震反应和随机滤波问题的基本方法，并利用等效线性化法和矩方程法，研究了非线性结构随机地震反应分析和随机滤波分析的近似解法及它们的工程应用。

Quasi Hamiltonian system; nonlinear stochastic optimal control; robustness; robust control; parametric uncertainty; uncertain disturbance; Bouc-Wen hysteretic system; Preisach hysteretic system; minimax optimal control; stochastic stabilization; stochastic averaging method; stochastic dynamical programming principle; stochastic differential game; maximal Lyapunov exponent

国家自然科学基金；拟Hamilton系统；非线性随机最优控制；鲁棒性；鲁棒控制；参数不确定性；不确定扰动； Bouc-Wen滞迟系统； Preisach滞迟系统；极小极大最优控制；随机稳定化；随机平均法；随机动态规划原理；随机微分对策；最大Lyapunov指数

In this dissertation,a new mechanism of stochastic resonance in the excitablesystem is presented,and the relationship between the stochastic resonance inexcitable neurons and the dynamic bistability is reported for the first time.Thepresent study deals with the extension of the concept of stochastic resonance,which has been thoroughly examined in bistable and simple excitable system,to amore complex system.It may even open the door to a better understanding ofstochastic resonance in neural system since experimental evidence supports theextension of such bistability in vitro preparations.

本文提出了可兴奋性系统中一种新的随机共振机制，首次报道了可兴奋性神经元中随机共振和动态双稳态的关系，将以前的单纯讨论双稳系统或可兴奋系统中的随机共振推广到了可兴奋系统中有动态双稳态更复杂的情形，由于在神经元的实验中已有关于动态双稳态的报道，本文所提出的随机共振为理解神经元中随机共振的编码机制开启了新的途径。

Our main result is for any immigration-emigration birth and death matrix random environment, q, with birth rateless than death rate, there are a unique q-process in random environment P9*(0;t and a bi-immigration birth and death process in random environment with random transition matrix P(9*{Q);t such that P9*(0;t is ergodic and X* is a strictly stationary process.

在这一部分，我们将经典的生灭过程理论推广到了随机环境下，证明了对任意给定随机环境移入-移出-生灭密度矩阵q，当生率小于死率时，存在一个唯一的随机环境下的q过程—θ~*(0；t和随机环境下的移入-移出-生灭过程，使得严平稳，遍历，其随机转移阵为？

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。