分段线性映射

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。

Chapter four (application of chaos in measurement field): In this chapter firstly the sensitivity of initial values and parameters that chaos can be used in the measurement field has been analyzed quantitatively, on this basis, the necessary conditions of chaotic system that can be used in measurement are concluded and presented; then the mechanism of measurement implemented by subsection linear map chaotic system, the coordinating relationship between chaotic output signal and the values being measured, and the precision of system measurement are further analyzed quantitatively.

第四章（混沌在测量领域中的应用）首先对混沌可用于测量领域的初值敏性和参数敏感性进行了定性分析，在此基础上，归纳并提出了可用于测量的混沌系统应具有的必要条件；定量地分析了分段线性映射混沌系统实现信号测量的基本原理、输出混沌序列与被测量间的数值对应关系及系统的测量精度等问题；并以DSP为核心设计了混沌型电压测量系统；其次提出了混沌参数敏感性用于测量的基本思路，并对此进行了计算机仿真及原理性实验电路设计。

Chapter four (application of chaos in measurement field): In this chapter firstly the sensitivity of initial values and parameters that chaos can be used in the measurement field has been analyzed quantitatively, on this basis, the necessary conditions of chaotic system that can be used in measurement are concluded and presented; then the mechanism of measurement implemented by subsection linear map chaotic system, the coordinating relationship between chaotic output signal and the values being measured , and the precision of system measurement are further analyzed quantitatively . And a chaotic voltage measurement system using DSP is designed. Secondly a basic thought that thesensitivity of chaotic parameters can be used in measurement is presented and simulated. Its theoretical testing circuits are designed.

第四章(混沌在测量领域中的应用)首先对混沌可用于测量领域的初值敏性和参数敏感性进行了定性分析，在此基础上，归纳并提出了可用于测量的混沌系统应具有的必要条件；定量地分析了分段线性映射混沌系统实现信号测量的基本原理、输出混沌序列与被测量间的数值对应关系及系统的测量精度等问题；并以DSP为核心设计了混沌型电压测量系统；其次提出了混沌参数敏感性用于测量的基本思路，并对此进行了计算机仿真及原理性实验电路设计。

Software Description: About Nuclass7, This is a program for training, validation and application of neural and conventional classifiers including multilayer perceptron, functional link network, piecewise linear network, self organizing map and K-Means.

Nuclass7 这是一款用于训练，确认，以及包括多媒体感应器，网络链接功能，分段线性网络，自我组织映射和 K-Means 群在内的回归应用和类似的网络软件。

In the meantime, we got several achievements during the process:Firstly, a sequence encryption algorithm of real-time video in use of one dimension piece-wise linear chaotic map is carried out. This algorithm makes use of Inter' s SSE2 special dictates and makes nonlinear change of chaotic sequences.As a result, the algorithm not only encrypts faster, but also resists several cipher analysis methods. Secondly, this paper presents a block encryption algorithm of real-time video based on chaotic neural network which makes use of numerical transient chaotic neural network to produce chaotic sequences and uses these sequences to do encryption.

同时，在实现系统的过程中，取得了以下研究成果：(1)提出了一种利用一维的分段线性混沌映射来对实时视频进行序列加密的算法，该算法利用Inter的SSE2专用指令集来实现，并对产生的混沌序列进行了有效的非线性变换，从而使该算法不仅加密速度快，并且能有效的抗多种密码分析；(2)提出了一种利用混沌神经网络对实时视频进行分组加密的算法。

Within the algorithm, a CNN that has a complex dynamical behavior and a piecewise linear chaotic map were used to drive CML model as to quickly generate spatio-temporal chaotic sequences, which would be bitwise XORed with original image later.

该算法用具有复杂动力学行为的CNN网络和分段线性混沌映射去驱动CML模型，以快速产生时空混沌序列，并与原始图像异或完成加密过程。

Chapter three (the methods of generating chaotic signal and its applications): In this chapter firstly the mechanism that a simple kinetic system, subsection linear map system, can generate chaotic phenomena is affirmed, the characteristics of correlation function of the chaotic signal generated by this system are simulated, on this basis a simple applicable method for generating chaotic signal is given; secondly some typical circuits generating chaotic signal are designed, also use operational amplifier to design a third -order autonomous circuit with chaotic dynamics. The basic mechanism and typical structures of chaos in the application of communication are introduced systematically and a simple method is provided for generating pseudo random code signal; At last Chaotic signal is applied into the analysis of system characteristic.

第三章(混沌信号产生方法及其应用)首先针对一类简单动力学系统——分段线性映射系统能够产生混沌现象的机理及由该系统所产生的混沌信号的自协方差函数特点进行了证明和计算机仿真，提出了软件产生混沌信号的一种实用方法；其次分析讨论了几种能够产生混沌信号的典型混沌电路，提出了用运算放大器与阻容元件实现三阶自治混沌电路的基本原理；概述了混沌在通信领域中应用的基本原理和典型结构，提出了产生伪随机码信号的一种简单方法；最后将混沌信号用于系统的特性分析中。

Software Description: About Numap7, This is a program for training, validation, and application of regression and approximation networksincluding the multilayer perceptron, functional link networks, piecewise linear networks, self organizing map and K-Means clustering.

Numap7 这是一款用于训练，确认，以及包括多媒体感应器，网络链接功能，分段线性网络，自我组织映射和 K-Means 群在内的回归应用和类似的网络软件。

Piecewise linear chaotic system ; periodic orbit ; Poincare mapping ; stability analysis ; Chaus circuit

分段线性混沌系统；周期轨道；庞加莱映射；稳定性分析；蔡氏电路

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新