混沌

When I think too much time, the entire heart on the chaos, and confusion, I think it is because I want to do too much instead of makingToo little, it has been guilty within the heart, with self-reproach, so the bar was disturbed.

当我每次想的太多的时候，整个心就混沌了，慌乱了，我想正是因为我想的太多而却做的太少，所以内心里有了愧疚，有了自责，所以才不安的吧。

The Study of the Fragile and Semi- fragile Digital Watermarking Technique

提出了一种基于混沌系统的图像脆弱性水印算法。

The chaotic sequence is sensitively dependent on initial conditions and parameters of the chaotic system.

混沌序列具有对系统初始条件和参数的极端敏感性。

For a new kind of linear chaotic operator, one class of nonwande-ring operators (invertible and bounded linear nonwandering operators) are studied, and their invariance under small perturbation in finite dimensional separable Banach Space is proved.

对于一种新型的线性混沌算子―非游荡算子，研究Banach空间上的一类特殊非游荡算子―可逆线性有界非游荡算子，证明它的小扰动下的不变性。

Chaotic sequence of phase space remodeling MATLABT procedures, I believe that you can

详细说明：混沌序列的相空间重构的MATLABT程序，相信一定能给您带来惊喜。

The void of man's heart and the shapelessness of man's spirit could only truly begin to take a "form of godliness" once the Light had come.

只有当光来到时，人心的空虚、灵性的混沌才能真正开始拥有"敬虔的外貌"。

Theoretical analysis and computer simulation show that this method is effective in extracting harmonic signals provided that signal to noise ratio is not very low.

理论分析和仿真实验表明，在信噪比不太低的情况下，该方法对提取淹没在混沌和噪声背景下的谐波信号非常有效。

For the singular spectrum analysis of time series, a method of constructing covariance matrix by using forth order cumulant is proposed. The method could restrain the Gaossian noise and symmetrical distributed noise mixed with chaotic signals.

对于时间序列的高阶奇异谱分析，提出了一种利用四阶累积量函数构造协方差矩阵的方法，该方法从理论上能有效地抑制叠加在混沌信号中的高斯噪声和对称分布噪声对重构结果的影响。

Secondly, the existence of chaos in a special class of discrete-time neural network models with sinusoidal activation function in the sense of Devaney with some parameters of the systems entering some regions are rigorously presented by means of anti-integrable limit method. Whats more, period-doubling bifurcation and saddle-node bifurcation in the neuron model are studied.

其次，利用反向可积极限方法证明了一类周期输入输出函数的离散神经网络模型在参数达到一定范围时产生Devaney意义下的混沌，并讨论了其一维情形的神经元模型出现倍周期分支和鞍-结点分支的情况。

In chapter 2, we firstly introduce the model of a discrete-time neural network with generalized input-output function. The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和该模型在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

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。