遍历性

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。

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

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。

By using the property of chaos ergodicity, a PID controller based on chaos optimization was designed.

利用混沌运动遍历性和随机性的特点，对PID控制器进行参数寻优。

Of course, the mathematical proof of ergodicity, even in a hard ball system with only few degrees of freedom, is still a difficult task.

当然，即使对具有很少自由度的硬球系统，遍历性的数学证明也仍然是一件非常困难的工作。

We studied the several types of ergodicity for M/PH/2 queue.

研究了一类M/PH/2排队的队长的几种遍历性。

By making use of the ergodicity specific to the chaotic theory, one can improve the chaotic-searching optimization method based on Logistic mapping.

在优化设计领域中，混沌现象的遍历性特点可以作为搜索过程中避免陷入局部极小的一种优化机制。

As a new optimization technique, chaos bears randomicity, ergodicity and the superiority of escaping from a local optimum.

混沌是一种新颖的优化技术，具有随机性、遍历性的特点和易跳出局部极值的能力。

When the masses of the two balls are unequal, we numerically found that ergodicity still preserves.

对于质量不相等的情形，我们数值证明了系统的遍历性。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新