查询词典 ergodic property

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

Researches show that chaotic systems have characteristics of ergodic property, non-periodicity and quasi-randomicity, so chaotic systems fit for information encryption.

但是目前研究的多数加密方案都是基于低维混沌系统，存在保密性差、易被网络重构信号等方法破解的危险，并且缺少必要的安全性分析。

By use of the orbital ergodic property of chaotic optimization and the learning, memory, association and fault-tolerant functions of artificial neutral network, the optimization of the pollutant-receiving water system in a mine reform project was made so as to effectively control the main pollutants such as COD,Pb etc.whic...

利用混沌优化的轨道遍历性和人工神经网络的学习、记忆、联想和容错性，对某矿山扩建项目中污染物的受纳水系进行优化，以有效地控制生产过程中的主要污染物如COD ，Pb等。

Based on a Hopfield neural network mode for combinational circuit test generation, a test generation algorithm with global searching ability is proposed. This algorithm is the combination of chaotic searching with gradient algorithm. By means of the inherent stochastic and ergodic property of chaotic searching, the problem of being trapped in local minimum of gradient algorithm can be solved.

基于组合电路测试生成的离散Hopfield神经网络模型，将混沌搜索与Hopfield网络的梯度算法相结合，利用混沌搜索的内随机性及遍历性来克服梯度算法易于陷于局部极小的缺点，形成一种具有全局搜索能力的测试生成有效算法。

By use of the ergodic property of chaos movement and the inversion of genetic algorithm, a chaos genetic algorithm was proposed. Its basic principle lies in the small disturbance of which extent is adjusted during searching to child generation group using the chaos variable.

摘 要：利用混沌优化的遍历性和遗传算法优化的反演性，提出了混沌遗传算法，其基本思想是把混沌变量加载于遗传算法的变量群体中，利用混沌变量对子代群体进行微小扰动，随着搜索过程的进行逐渐调整扰动幅度。

In this thesis, a new detection method, Network Intrusion Detection based on Unsupervised Clustering and Chaos Simulated Annealing algorithm, is proposed. NIDCCSA utilizes the ergodic property of chaos to complete the perturbation of states. Therefore, simulated annealing algorithm based on chaos is more likely to converge to the globally optimal solution and enhance the detection rate.

论文中提出使用聚类和混沌模拟退火算法进行网络入侵检测——NIDCCSA算法，NIDCCSA算法充分利用了混沌的遍历性特点进行状态的变换，这样的混沌模拟退火算法更加可能收敛到全局最优解，从而提高检测率。

Firstly, we consider the problem of the representation formula for the transition probability density of a right process under Girsanov transform. Secondly,we consider the problem of the MEMMs (minimal entropy martingale measure)for Markov switching Levy processes, and justify that the minimal entropy martingale measure is obtained by some regime switching Esscher transform. At last,we consider the problem of the invariant measure and the ergodic property of recurrent right processes. This paper includes 5 chapters.

首先，我们考虑了满足一定条件的右过程在Girsanov变换下的转移概率密度的表达式问题；其次，我们考虑了由Markov调制的Lévy过程的最小相对熵鞅测度的问题，证明了其最小相对熵鞅测度是某个状态转换Esscher变换；最后，我们考虑了右过程的不变测度及其遍历性的问题。

In this paper,results of Markov chain are used under the circumstances of the automaton model which belongs to logical level of Discrete Event System to analyze the steady states and transient states of the Markov model of DES,respectively based on four conditions of discrete-time parameter and continuous-time parameter.A simpler decision rule of system ergodic property which applies both to the conditions of discrete-time parameter and continuous-time parameter is presented through an example.The transient states of DES which under the condition of continuous-time parameter are analyzed and computed based on Kolmogorov backward equation or forward equation.

利用马尔科夫链的结果，在离散事件系统逻辑层次的自动机模型基础上，对DES的Markov模型的稳态和暂态特性，分别从时间参数连续和离散的情况下，分四个情况进行了分析，通过实例对系统遍历性提出了一条更简单的且在连续和离散时间参数情况下都通用的判定规则，并利用Kolmogorov向后或向前方程，对连续时间参数DES的暂态特性进行了分析和计算。

Let P be a Markov operator in, and Q any ergodic Markov operator possessing finite invariant measure. In this note a simple and direct proof of the equivalence of the mixing property for Q and the ergodicity for Cardesian product PQ is given.

设P是L上的Markov算子，Q是任一具有有限不变测度并且遍历的Markov算子，在这篇注记中我们给出了P的混和性和Cartesian积P×Q的遍历性相互等价这一结果的直接而简单的证明。

The decay behavior of the nuclear ergodic collective states is explained in terms of the peculiar property of chaotic states.

用混沌态矢的特征解释了原子核的各态历经集体态的衰变特性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。