ergodic system

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；

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。

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；

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

从一个有趣的混沌游戏出发，揭示其深刻的数学背景，即分形测度理论与符号空间上的遍历定理。

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。