混沌

In the second chapter, we investigate propagations of desynchronous disturbances in synchronized chaotic one-way coupled map lattices. It is well known that spatiotemporally chaotic systems with large gradient couplings may show convective instability under the absolute stability condition of chaos synchronization. This convective instability is the key reason for the effective propagation of control signals.

时空混沌在不同的耦合系数情况下会表现出不同的动力学行为，用驱动实现具有强梯度耦合系数的时空混沌同步时，会观察到在绝对稳定条件下被驱动系统表现出对流不稳定性，这种对流不稳定性是在单个信号驱动下实现混沌同步的关键原因。

Chaotic system ; synchronization ; anti-synchronization ; Chua's system ; antisymmetric cubic map

混沌系统；混沌同步；混沌反同步； Chua's系统；反对称立方映象

An analog electronic circuit is designed to implement the new system, so the chaotic attractor are verified.

通过构建电路实现了该混沌系统，从而验证了系统的混沌行为，证实了混沌吸引子的存在。

Secondly, a series of computer programs have been developed and verified according to the deterministic chaos theory and algorithms. These programs are deterministic chaos qualitative analysis tools including phase plots and Poincare section analysis software packages; deterministic chaos quantitative analysis tools including the largest Lyapunov exponent, correlation dimension and Kolmogorov entropy analysis codes and classical analysis such as power spectrum, autocorrelation coefficient and Hurst analysis programs.

其次，根据确定性混沌分析技术主要内容的算法思想，自行开发了相图、Poincare截面等定性分析程序软件包；最大李雅普诺夫指数、关联维数和K熵等定量分析程序软件包以及非线性混沌预测程序软件包；同时，还开发了功率谱、自相关系数、Hurst指数等传统分析技术程序软件包；并运用三种典型的周期运动、混沌运动及随机运动时间序列数据，验证了开发的程序。

On the other hand, as Pecorra and Carrol demonstrated in 1990 that is able to synchronize chaotic systems, many chaos synchronization schemes have been proposed in the literatures.

本论文中基于一个简单的分段线性映射设计了混沌跳频码，计算机仿真表明它具有好的平衡特性、汉明相关特性和大的跳频间隔，用于混沌通信系统中是一个好的混沌跳频码。

An anarchic weapon is chaotically aligned and infused with the power of chaos.

混沌：混沌武器属于混乱阵营，且拥有强大的混沌之力。

To solve the problem of channel with distortions, an adaptive circuit is configured by a new laddered method based on relevant articles, and simulation study was made on four dimensional Chua's chaos oscillator. The simulation results demonstrated that: synchronization of two chaotic oscillators can be achieved when adaptive circuit has adaptive capability. Synchronization of two chaotic oscillators cannot be achieved when adaptive circuit has no adaptive capability. Simulation studies were done for five scroll chaotic oscillators that achieve bond-orbit, coupling and pulse synchronization.

为了解决信道畸变问题，根据相关文献提出的梯度法，本文构造了一种自适应同步电路，并以四阶变型蔡氏混沌振荡电路为例进行仿真研究，仿真结果表明：当自适应同步电路具有自适应效应时能实现有噪声干扰情况下的两个混沌振荡电路的同步；若自适应同步电路没有自适应效应时，则不能使两个混沌振荡电路同步；以5涡卷混沌振荡电路为例用键波同步法、耦合同步法、脉冲同步法进行同步仿真研究。

The Third chapter analyses the chaos feature possessed by disequilibrium economy system in detail, reveals universality of economy chaos studies the problem of disequilibrium Economy system's foreost and control analysis economy's strategy management problem using chaos'principle of unexactness in measuring Meanwhile, this chapter introduces the CML model, which reveals of economy, and probes into the space-time chaos character of economy system.

第三章详细分析了非均衡经济系统所具有的混沌特征，揭示了经济混沌的普遍性；研究了非均衡经济系统的预测与控制问题；应用混沌的测不准原则分析了经济的战略管理问题。同时把揭示湍流规律的CML模型引入经济分析，探讨了经济系统的时空混沌特征。

The investigations in this thesis focus on several aspects as follows: We investigate the method that how to produce permutation matrix by using chaotic map, and get the method of image permutation based on chaotic map. This method can make original image to unorderly image to protect the true content of image. We investigate gray level mix function, and put forward a gray level mix function based on chaotic map. Because this function has chaotic characteristics, the image dealed with this function has very uniform histogram. Aiming at the contradiction between error robust and security on image encryption, we put forward a kind of gray level mix function including diffusion mechanism.

本文的研究工作主要集中在以下几方面：研究了如何利用混沌映射产生置乱矩阵的方法，给出了基于混沌的数字图像置乱方法，该方法能够将原始图像变成面目全非的杂乱图像，从而保护了数字图像的真实内容；研究了灰级混合函数，提出了基于混沌的灰级混合函数，由于该函数具有混沌特性，所以经过该函数处理后的图像具有非常均衡的灰级直方图；针对图像加密的错误鲁棒性与安全性之间的矛盾，提出了一种含有扩散机制的灰级混合函数。

Utilizing Chua's circuit, a drive-response chaotic synchronization system is constructed, by means of imitation, it can be concluded that this synchronization system possesses to a certainly stability、resisting-disturbance, and so on;Based on its system and by means of imitation, the characteristic of the chaotic synchronization self-maintenance is put forward, and imitation results are also presented.

介绍了Chua电路及其特性，给出了实现非线性电阻的一种电路；利用Chua电路构造出一种驱动-响应混沌同步系统，通过仿真得出此同步系统具有一定的鲁棒性、抗干扰等特性；根据此同步系统，仿真发现混沌同步具有自保持特性，并给出了仿真结果，这一在混沌领域的首次发现为混沌在保密通信的实际应用提供了依据。

Objective: To study the effect of polycythemia on blood oxygen saturation.

裴蕾目的：观察RBC剧增而引起的高粘血症对血氧饱和度的影响。

Based on SIMPLER algorithm in the curvilinear body-fitted coordinates, the calculations were performed for Pr=0.7, Re=10~1000 on non-orthogonal non-staggered grids which are generated by elliptic equation systems.

采用曲线坐标系下压力与速度耦合的SIMPLER算法，数值研究了周期性渐扩渐缩波纹通道内脉动流动与换热情况，流动Re数的范围为10~1000，Pr数为0.7。