In the second part (Chapter 2), we study the sensitive dependence of semigroup actions.
第二部分(第二章)，着重研究了半群作用的敏感依赖性。
A fundamental underlying property in a chaotic system is sensitive dependence on initial conditions and parameters.
混沌系统最重要的性质是初值敏感性和参数敏感性。
It has the sensitive dependence of the initial conditions which is known as "butterfly effect" and the self-similarity of time scale.
混沌既具有对初始条件敏感依赖性的“蝴蝶效应”特征，又具有在时间标度上的自相似性。
The main results are as follows: Weak-mixing implies sensitive dependence for measure-preserving maps and measure-preserving semiflows.
主要结论是：对保测映射和保测半流，证明了弱混合蕴含敏感依赖性。
Sensitive dependence on initial conditions means that little difference on initial conditions will lead to great changes on chaotic orbit.
初值敏感性是指混沌系统中初值有一微小变化就会引起混沌轨道的很大变化。
In this paper, it is introduced that transitivity arise some sufficient condition which sensitive dependence on initial conditions and chaos.
给出由传递性产生初值敏感及混沌的几个充分条件。
The weak signal can be detected by chaotic oscillator owing to its property of sensitive dependence on initial conditions and of immunity from noise.
利用混沌振子的初值敏感性和对噪声的免疫力可以检测微弱信号。
The periodic oscillators at critical state are immune to noise and have sensitive dependence on weak sine signals or phase-coded signals at the same time.
临界混沌状态的周期振子对噪声具有免疫力，而对微弱的正弦信号或相位编码信号比较敏感。
The statistical language is proven to be suitable to describe the inhomogeneous periodic states, because of its sensitive dependence on the initial conditions.
由于不均匀周期解敏感地依赖初条件，因此适用统计描述。
This method makes use of good properties of chaotic sequences, such as ease of generation, sensitive dependence on their initial condition and noise like statistic characteristics.
该方法利用混沌序列具有容易生成、对初始条件敏感，以及具有白噪声的统计特性等特点。
Chaos is a deterministic nonlinear structure, which is not a stochastic process, but sensitive dependence on initial conditions. Studies in numerous fields have shown the existence of chaos dynamics.
混沌是一种确定性的非线性运动，它不是随机的但对初始条件敏感依赖，许多领域的研究证实了混沌的存在。
On top of that, there is weak dependence on voltage by these lasers, and they are not sensitive to temperature change.
除此之外，这些激光器对电压依赖程度低，对温度变化也不敏感。
Objective To approach the rat's tissue injure feature and sensitive index of ethanol dependence.
目的探讨酒精依赖对大鼠组织损伤特征及敏感指标。
Objective To approach the rat's tissue injure feature and sensitive index of ethanol dependence.
目的探讨酒精依赖对大鼠组织损伤特征及敏感指标。
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