混沌

Chaos; Combined chaotic map; Infinite dimension pseudo random number; Image encryption; Statistical features

混沌；组合混沌映射；无穷维伪随机数；统计特征；图像加密

Reconstruction of phase space represents puckering and distorting of its distribution.

研究结论：结构面在空间分布具有混沌特征，且位于混沌边缘。

In the last two decades, researches of chaos was mainly concentrated in quantification from experiments and numerical simulations.

在过去的20多年时间里，人们对混沌的研究主要是从一些实验及数值系统观察和量化混沌行为。

The results of system responses show that routes to chaos from period doubling or triple and quasi periodic.

系统通向混沌的道路是周期3、倍周期分叉和拟周期运动演化为混沌运动。

By the combined use of a prediction control and PID controller in the control of a reheat steam temperature system.

对混沌优化理论在控制过程中的应用进行了研究：将预测控制和PID控制器结合运用于再热汽温系统的控制当中，并采用神经网络作为系统预测模型，通过混沌优化算法对PID参数实行在线优化。

This thesis is first to introduce the development, rudimentary and relevant knowledge of chaos theory.

本论文首先介绍了混沌理论的发展、混沌理论的基础知识和相关理论。

Sensitiveness of chaotic system to the original state determines that it is impossible to predict its future states in long term.

着重讨论了混沌系统未来状态预测的"长期"与"短期"问题，混沌系统的初始状态敏感性决定了其不可长期预测性。

Additionally, this thesis also analyzes the factors which can influence the properties of chaotic sequence and points out the merits of the new presented chaotic sequence.

此外，本文还进一步讨论了影响混沌序列性能的一些因素，验证了文中提出的新的混沌序列所具有的优点。

The storage method utilizes the periodic orbits embedded in chaotic attractors for information storage. The main idea is to map periodic points on the UPO inside the attractors to some specific information alphabet according to some mapping rule, and thus represent an information string as a sequence of periodic points.

这种存储方法利用离散时间混沌系统中的周期态进行信息存储，其核心思想是将吸引子中周期轨道上的周期点按照一定的规则映射为一定的信息符号，进而用混沌系统的一个周期点序列来代表一个信息串或字符串。

So, it is vital to study and develop new chaotic signal generator and push Chaos theory to good use.

因此，研究并开发新的混沌信号发生器对混沌理论推向实用化至关重要。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。