混沌

The phase space reconstruction theory of chaotic dynamic system, in combination of the non-linear reflecting and pan-capacity of neural network, can be used to establish the prediction model; and a kind of new prediction method is suggested to realize the complete tracing of phase point evolution process and to predict "the price nails", whereby improving the prediction accurateness and effectively solving the problem of negative prediction, with the satisfactory results obtained.

采用混沌理论预测系统边际电价针对我国电力市场电价变化特点，利用电价和负荷时间序列的混沌特性，重构准确的电价序列相空间，通过跟踪相空间相邻相点的演化趋势，建立基于快速BP网络的电价预测模型，对我国川渝电网电价进行预测，取得良好效果利用混沌动力系统的相空间重构理论，结合神经网络的非线性映射和泛化能力建立预测模型，提出一种新的预测方法实现了相点演化过程的全局跟踪，对"价格钉"进行预测，提高了预测精度，有效解决了负预测问题，得到满意的结果。

When the parameters are unknown, based on the Lyapunov theory, corresponding controller and the adaptive law of parameters are designed to suppress chaos to any unstable equilibrium by the adaptive control strategy. The asymptotical stability of chaos control is guaranteed in theory by lemma of Barbalat.

当该混沌系统的参数未知时，基于Lyapunov稳定性理论，利用自适应控制策略，设计了相应的非线性控制器和参数自适应律将混沌系统的轨道控制到其任意一个平衡点，并借助Barbalat引理，从理论上证明保证了混沌控制的渐近稳定性。

However, the limitations of the existing algorithms, such as methods in Newton kind, in detecting UPO and estimating system parameters online and the developments and demands of chaos control and synchronization form a sharp contrast.

迄今已提出的很多有效的混沌控制与同步方法，不仅为混沌理论走向应用准备必要的手段，而且在理论上促进了混沌理论和流体力学特别是湍流理论等方面的深入研究。

The power spectrums of the time serials of traffic flow are illustratecd.Through the analysis of the power spectrum of the headway,it is clear that there are variations of noise and wide apices.

有关交通流混沌现象的研究大多是以跟驰模型产生交通流，并对所产生的交通流施加一定的干扰，来研究这种理论交通流的混沌现象、证明混沌的存在。

The partial least-squares regression model is built up to forecast crop leaf water potential of estival maize.Thirdly, atmosphere aspect, the low water age has been forecasting by R/S method of fractal theory in Si Chuan middle region. The chaotic behavior of agriculture meteorologic factors (average temperature, max temperature, min temperature, temperature of the earths surface, evaporators, precipitation, relative humidity, sunlight time) time series is investigated using the phase-space reconstruction technique, and the delay time and relation dimension and min embedding dimension and Lyapunov exponent and Kolmogrov entropy is calculated. The atmosphere water potential is calculated by surveyed data, and the day change law of atmosphere water potential and the relation between it and sun radiation has been discussed.

第三，关于大气方面，利用分形理论中R/S分析法对川中丘陵区的枯水年进行了预测；利用混沌理论的重构相空间技术，确定了农业气象因子(旬平均气温、最高气温、最低气温、地表温度、蒸发量、降水量、相对湿度、日照时数)的延时、关联维数、最小嵌入维数、Lyapunov指数、Kolmogrov熵，从而证明了以上各农业气象因子的时间序列具有混沌特性，为利用混沌理论预测各气象因子提供了科学依据；利用田间自动气象站的数据计算了大气水势并探讨了大气水势的日变化规律以及大气水势与太阳辐射的关系。

To overcome premature convergence of genetic algorithm and long search time of chaotic optimization, an improved chaotic optimization algorithm is proposed by combining GA, chaotic optimization and mutative scale method.

为了克服遗传算法的早熟现象以及混沌优化的搜索时间过长的缺点，将遗传算法、混沌优化和变尺度方法相结合，提出了一种改进的混沌优化算法。

In the study of chaotic synchronization in chaos shift keying system, the driven-reponse method developed by Pecora and Carroll is used. Noticeable questions in circuit design and adjustment are summarized.

在混沌同步方面，本文对工作于混沌键控通信模式中的驱动-响应混沌同步进行了研究，总结了其电路设计和调试要点。

Secure communication scheme based on chaotic synchronization is an entirely new secure communication scheme. Pecora and Carroll propose secure communication scheme based on chaotic synchronization first in 1990. The scheme makes use of the good characteristic of chaotic signals, and has high security. Lots of papers improve on the scheme after it has been proposed.

基于混沌同步的保密通信方案是一种全新的保密通信方式。1990年，Pecora-Carroll首先提出了基于混沌同步的保密通信方案，方案利用了混沌信号所具有的优良特性，具有很高的安全性，之后又有很多文献对该方案进行了改进。

In the approach, the synchronization of the chaotic signals between the transmitter and receiver does not rely on the chaotic self-synchronization method proposed by Pecora and Carroll. The chaotic carrier is retrieved by using a non-dynamical system at the receiver which has the same nonlinear function form as what is adopted at the transmitter.

本方法中，收、发两端混沌信号的同步不是依赖于Pecora和Carroll提出的混沌自同步方法，而是在接收端采用一个与发送端具有相同非线性函数形式的非动力学系统从接收信号中提取混沌载波。

The simulation results show that the search-optimization capacity of wavelet chaotic neural network has been improved and the reformative wavelet chaotic neural network is superior to the primary wavelet chaotic neural networks.

仿真结果表明，改善了小波混沌神经网络的寻优能力，改进的小波混沌神经网络优于原来的小波混沌神经网络。

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。