遍历理论

一类CA的遍历理论

Ergodic Theory of a Class of CA

本文运用遍历理论对具有相依输入流的G/M/S/S十K排队系统进行了研究。

The G / M / S / S + K queue with dependent inter-arrival times by means of ergodic theory is studied .

DAD计算中的遍历理论模型及算法

Transversal Theoretic Model with Its Algorithm in DNA Computing

首先我们介绍遍历理论和不变测度的基本知识，以及Hopf马氏链的遍历理论。

First of all , we introduce the basic theory of invariant measure and ergodic theory of Hopf Markov chain .

Banach空间中非Lipschitzian交换非线性拓扑半群的遍历理论

Nonlinear Ergodic Theorems for Commutative Semigroups in Banach Spaces

利用遍历理论，我们可以得到该基本tile的勒贝格测度是一个有理数，该有理数的分母等于定义tile所用到的对称群的阶。

Using ergodic theory , we show that the Lebesgue measure of the tile is a rational number where the denominator equals to the order of the associate symmetry group .

IOS的理论是应用基于较少假设的、较为简单的数字或几何模式去研究地质体客观存在的复杂性，减少类似概率分布、周期性、平稳性、遍历理论等假设要求。

The theoretical considerations of IOS is to apply more simple numerical or geometric model based on fewer hypotheses to fit practical occurrence of complexity of geological bodies , reducing the hypothetical requirements , such as probability distribution , periodicity , stationary ergodic theory etc.

平均方法在遍历理论中的应用

The Application of Averaging Method in the Theory of the Ergodic

拓扑，遍历理论，实代数几何。

Topology , Ergodic Theory , Real Algebraic Geometry .

最后一章提出和讨论了一系列有关遍历理论的尚未解决的问题。

A number of open and intriguing questions related ergodic theory are presented and reviewed .

随机环境中马氏链的状态分类、大数定律与遍历理论

The Classification of State , Law of Large Numbers and Theory of Ergodicity for Markov Chains in Random Environments

作为遍历理论的应用，讨论一类极限的求法。

As an application of the ergodic theory , we discuss the method of calculating a type of limits .

为了深入研究迭代函数系统的自相似测度，本文利用遍历理论的有关方法，具体构造测度序列，其极限点为自相似测度。

In order to study the self_ similar measures of iterated function systems deeply , by using some methods of ergodic theory , a sequence of measures is constructed in this paper , whose limit point is a self_similar measure .

本文通过哈密顿系统的非线性动力学研究，以及遍历性理论的动力学随机性研究对此问题进行了分析。

In this paper , nonlinear dynamics of Hamiltonian systems and dynamical stochasticity in ergodic theory are analyzed .

本文将采用蚁群算法和混沌遍历性优化理论与传统的K-均值算法相互融合来解决RBF神经网络中心值求取的问题。

This text will solve the center value of RBF neural network with the interinfiltrate of ant colony optimization algorithm and chaotic ergodic theory and the traditional K-means algorithm .

仿真结果表明，优化后的神经网络比常规的RBF神经网络对非线性函数的逼近效果更好，更有利于对非线性系统进行分析。其次，引入混沌遍历性优化理论并对其进行分析。

Simulation results show that Optimized neural network has better approximating results of the nonlinear function than conventional RBF neural network , and is more conducive to the analysis and solution of nonlinear systems . Second , ergodic theory of chaotic optimization is introduced and analyzed .

配电网树形网络遍历算法在理论线损计算中的应用

Application of Tree Distribution Network Traversing Algorithm to Theoretical Line Loss Calculation

本学位论文研究了离散时间马氏链和连续时间马氏过程的遍历性的理论及其应用。

In the dissertation , we consider ergodic theory and its applications of discrete-time Markov chains and continuous - time Markov processes .

介绍了与之密切相关的非线性科学中的混沌、微分动力学系统以及遍历论等理论，综述了工业过程的广义稳态优化控制的研究成果、理论意义和实用价值及其发展方向。

Based upon the closely related theories surveyed : such as chaos , differential dynamical systems and ergodic theory in the nonlinearity science , the achievements , theoretical meaning and practical value of the generalized steady-state optimizing control of industrial processes , and the further research directions are provided .

在完成软硬件设计的基础上，研究了智能移动机器人全区域遍历的路径规划理论和方法。使用VB开发了一个可视化的仿真软件，通过仿真验证了方法的有效性。

The theory and method of complete coverage path planning for mobile robot are also researched based on the proposed mobile robot in this paper . A simulation environment is developed to verify the effectiveness of the proposed scheme .

基于次可加遍历定理，从理论上证明了双向车流的延迟容忍网络中消息的传输延迟与消息传输距离为线性关系。

Based on the sub-additive ergodic theory , theoretically , we found that the message delivery delay has a linear relationship with the message delivery distance .

遍历定理和不变测度的存在性是遍历理论中的二个基本研究主题。

Ergodic theorems and the existence of invariant measures are two major topics in Ergodic theory .