The essence of the interesting chaos game is revealed, here as, the fractal measure and ergodic theorm of symbolic system.

In this paper we give the properties and structure of eigenfunctions and eigenvalues of the weakly ergodic homeomorphism on compact system.

本文给出紧致系统上弱遍历自同胚的特征值与特征函数的结构性态。

Ergodic theory and dynamical system is one of the most successful branch of mathematics since the 20th century.

遍历论和动力系统是20世纪以来最富有成就的数学分支之一。

According to the characteristics of chaos system, three forms of chaos-based information detection technique are summarized. The first is using the sensitive to initial value and ergodic of chaos system, constructing chaos detecting system.

文章根据混沌系统的特点，论述了基于混沌的信息检测技术的三种形式：构造混沌检测系统，实现高精度测量；

In this paper, if a matrix system is generalized Ergodic, the system is stable;

本文证明：若矩阵系统是广义各态历经的，则系统是稳定的；

Furthermore, we obtain a sufficient condition by which we can distinguish if an ordinary differntial system is a continuous ergodic system.

进一步我们也给出判别一个常微系统是连续遍历系统的充分条件。

On Characteristic Exponents Construction of a New Borel Set for the Multiplicative Ergodic Theorem for Vector Fields

关于特征指数：一个新的为向量场乘法遍历定理而构造的Borel集

We give an ergodic theorem for the dual of Feller operator.

本文给出关于Feller算子的对偶算子的一个遍历定理。

Ergodic Theorem for Infinite Iterated Function Systems

无穷迭代函数系统的遍历定理

A note on the ergodic theorem for quantized systems

量子系统的Ergodlc定理

In this paper, by using the methods of functional analysis, the proof of an ergodic theorem was given.

利用泛函分析的方法给出一个遍历定理的另一证明。

Ergodic theorem OS stationary set valued stochastic processes

关于平稳集值随机过程的遍历性定理

A ergodic theorem of birth-death chain of order 2

二重生灭链的一个遍历性定理

Road surface roughness is introduced to simulate bridge deck roughness. It is assumed to obey Gauss probability distribution, with zero mean, ergodic stationary random process.

引入路面不平度来模拟桥面不平顺，假定路面不平度是服从Gauss概率分布，具有零均值、各态历经的平稳随机过程。

The distribution of inhomogeneous thermo-emf along the copper-iron thermoelectrode is described as a stationary ergodic random process.

不均匀热电势沿铜铁合金热电极长度上的分布可描述为各态历经的平稳的随机过程。

The convergence of left resolvent operator system for a strong quasi-ergodic Markovian process

强拟遍历马氏过程左预解算子的收敛性

The random process of two phase flow formed out of air entrained in the water by the aerator is an ergodic process, its amplitude distribution is in accord with the normal distribution.

利用掺气坎在水中强迫掺气形成水气两相流，其压力脉动属于平稳，各态历经随机过程。

If fatigue damage of the bearing develops at a slow rate, the stationary vibration signal, i.e., an ergodic process, would result.

如果轴承的疲劳发展缓慢，振动输出稳态信号，也即表征各态经历的过程。

Ergodic Theory of a Class of CA

一类CA的遍历理论

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

作为遍历理论的应用，讨论一类极限的求法。

Ergodic Theory of Complex Systems, Entropy and Applications

复杂行为的遍历性，熵及应用