混沌

The characteristic exponent based on a probabilistic dynamical system is calculated, which provides some useful information on unstable periodic orbits of the chaotic economic dynamical system. An effective controlling parameter is chosen by discussing the sign of the characteristic exponent. Furthermore, the control regions of the parameter variable are proposed. Therefore the controllable domain of chaos in the chaotic economic model can be obtained.

提出一种等价关系，计算基于概率的动力系统的特征指数，给出混沌经济动力系统的不稳定周期轨道的有用信息，通过讨论特征指数的符号，选择有效的控制参数，得到相应的控制参数取值范围，从而得到混沌经济模型中的参数变量的混沌控制域。

Then,the paper analyzes common-mode voltage and output voltage range of operational amplifier influenced by temperature and process problems that may appea.

基于混沌、均匀分布的真随机数发生器的工作电路和精度要求较高的电压参考电路的温度漂移进行分析，给出了仿真得到的温度曲线；分析了工艺中可能存在的问题和温度的影响与运放的共模电压和输出电压幅度，以及与混沌公式直接相关的开关电容等，根据最坏分析得到混沌公式，给出了仿真测试结果。

As an application, it is proved that a continuous map of an interval is chaotic iff it is distributively chaotic in a sequence.

给出紧度量空间上连续映射按序列分布混沌的一个充分条件，并证明区间连续自映射是混沌的当且仅当它是按某序列分布混沌的。

And the cross correlation function is approximately zero, which makes them suppress the disturbances due to the other users. After describing some basic knowledge of chaotic theory in chapter 2, we interview and classify the applications of chaos in communications including chaos secure communication, chaotic spreading codes for multi-user access in spreading spectrum system and chaotic modulation and demodulation in chapter 3. FM-DCSK system with non-coherent demodulation offers the best performance in chaotic modulation schemes.

在混沌调制方案中， FM-DCSK调制是一种极具竞争力的混沌调制方式，它克服了CSK、COOK、DCSK解调中存在的估计问题的缺点，在无线信道的传输过程中，可以很好的抑制噪声干扰与多径衰落，并且能获得非常优越的解调性能，加上混沌信号本身优越的保密性能，该调制方式在未来的无线通信领域存在着巨大的潜在优势。

This thesis presents two approaches for designing chaotic cryptosystem. The cryptosystem combines cryptograph with chaotic synchronization.

本论文提出两种设计混沌密码器的方法，混沌密码器是结合混沌同步的特性及密码学的技术而成。

In this paper, the method of synchronizing chaos by driving of discrete chaotic system in continuous chaotic systems is proposed. The logistic map, Henon map and the system of Lorenz are taken as three typical examples.

提出了用离散混沌系统驱动连续混沌系统导致其同步的方法，以逻辑映象、Henon映象、Lorenz系统为例，数值地研究了这种混沌同步方法。

The simulated results indicate that the properties of the chaotic dynamic system are sensitive to the driven frequency. A threshold value of amplitude exists for the appearance of chaos phase. The system is insensitive to the dissipative magnetic force.

数值模拟结果表明：混沌实验摆系统动力学性质灵敏地依赖于策动频率值；系统策动振幅必须大于一定阈值是混沌相出现的必要条件；磁阻尼参数对系统混沌相动力学状态影响不明显。

Corresponding chaotic evolution operators and chaotic population embedding operator are designed, and the species conservation strategy based on chaotic basin of attraction is proposed to treat with asymmetric distribution of extremum and to find all or near all minima.

设计了相应的混沌进化算子以及混沌群体嵌入算子，提出了基于混沌吸引域概念的种群保护策略，适应了极值点分布不均匀的情况，达到求解全部／大部分极小点的目的。

In this thesis, a new detection method, Network Intrusion Detection based on Unsupervised Clustering and Chaos Simulated Annealing algorithm, is proposed. NIDCCSA utilizes the ergodic property of chaos to complete the perturbation of states. Therefore, simulated annealing algorithm based on chaos is more likely to converge to the globally optimal solution and enhance the detection rate.

论文中提出使用聚类和混沌模拟退火算法进行网络入侵检测——NIDCCSA算法，NIDCCSA算法充分利用了混沌的遍历性特点进行状态的变换，这样的混沌模拟退火算法更加可能收敛到全局最优解，从而提高检测率。

Based on the sensitivity, the co-existence and the ergodicity of chaos system, two new methods of chaos control are presented.

本文利用混沌系统的敏感性、共存性及各态历经性，提出控制混沌的两个新方法，并应用控制方法控制油膜轴承-柔性转子系统的混沌运动。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。