混沌

Dynamic associative memory and essential characteristics of chaot ic neural network is dealt with:nonperiodic chaos,chaotic attractors and sensiti vity to starting condition.

采用一种由混沌神经元构成的神经网络，通过研究其非线性动力学特性、混沌吸引子轨迹以及对初始条件的敏感性，实现混沌神经网络的动态联想记忆。

Symbolic Dynamics has the advantage of being simple and to the point, can be used to analyze the essence of chaos-happening in the energy system; Melnicov Method can be used to study the mechanism of chaos-happening after system was perturbed. Chapter thirteen briefly introduced how to use the two methods to study chaos in a life energy system.

符号动力学以其简单和"粗粒化"的优点，抓住了能量系统中混沌发生的本质规律进行分析，而梅尔尼科夫方法则专门研究能量系统在受到扰动后产生混沌的机制，本文简要介绍了如何运用两种方法研究生命能量系统中的混沌并例举了简短的实例。

When parameters satisfy some assumptions, Rossler system is a chaotic dynamical system. In order to discuss the dynamical character of Rossler system and use delayed feedback control chaos, in the first, we discuss the stability of the steady states of Rossler system with delayed feedback. When the engenvalues of the linear part are pure imaginary numbers, we obtain the corresponding delay value. The stability of the steady state is lost when the delay passes through the critical value, and simultaneity chaos may vanish, as well as there will be a family periodic solutions bifurcate from the steady states.

在几个参数满足一定的假设条件下，Rossler系统是一个具有混沌特性的动力系统，为了研究该系统的动力学性质并利用时滞实现混沌控制，本文首先对具有时滞的Rossler系统的平衡点进行稳定性分析，当系统的线性部分对应的特征值为纯虚根时，算出相应的时滞τ，得到了平衡点的稳定性会在时滞τ取某些值时发生翻转，同时系统的混沌特性也会出现变化，并且在平衡点处系统经历Hopf分支。

A novel four-dimensiond hyperchaos system with only one nonlinear term is reported. The Lyapunov exponents spectrum, periodic orbit, quasi- periodic orbit, and the chaos and hyperchaos attractor of this system are obtained.

构造了只包含一个非线性项的四维超混沌系统，得到了系统的Lyapunov指数谱、周期轨道、拟周期轨道、混沌和超混沌吸引子。

A hybrid model of short-term load forecasting based on chaotic theory, correlation and neural networks is presented in this paper. Firstly, reconstruct attractors in phase spaces using chaotic theory, Secondly fit the attractor's evolvement using BP neural networks, because selecting neural network's input training data using Euclid distance and correlation, improve neural network's associative memory and ratiocinative ability, can better fit the attractor's evolvement.

提出一种将混沌理论、关联度和神经网络相结合的短期负荷预测模型，首先利用混沌理论重构负荷时间序列的相空间吸引子，然后用BP 神经网络来拟合空间吸引子的演化，由于使用空间欧氏距离和关联度联合来选取神经网络的训练样本，这样就提高了神经网络对负荷序列混沌特性的联想和泛化推理能力，能够更好的拟合吸引子的演化。

Firstly, reconstruct attractors in phase spaces using chaotic theory,Secondly fit the attractor s evolvement using BP neural networks, because selecting neural network s input training data using Euclid distance and correlation, improve neural network s associative memory and ratiocinative ability, can better fit the attractor s evolvement.

提出一种将混沌理论、关联度和神经网络相结合的短期负荷预测模型，首先利用混沌理论重构负荷时间序列的相空间吸引子，然后用BP神经网络来拟合空间吸引子的演化，由于使用空间欧氏距离和关联度联合来选取神经网络的训练样本，这样就提高了神经网络对负荷序列混沌特性的联想和泛化推理能力，能够更好的拟合吸引子的演化。

In this chapter, we review the evolution of Particle Filtering from sequential importance sampling, resampling, to Regularized Particle Filter.

本章主要以混沌信号为代表，讨论了单通道非线性信号的处理问题，根据混合信号数量的不同，分成混沌去噪和混沌分离两类问题讨论。

Chaos basic knowledge, contacts and understanding of chaotic good, very suitable for beginners portal, from simp...

混沌基础知识，接触和了解混沌的好资料，非常适合初学者入门，从简单的非线性到混沌现象，由浅入深。

Based on the chaotic characteristic of time series of power loads and combining the phase space reconstruction theory of chaotic time series and regression theory of supporting vector machines, a short-term load forecasting model based on chaotic characteristic of loads and least squares SVM is built.

以负荷时间序列的混沌特性为基础，结合混沌时间序列的相空间重构理论和支持向量机的回归理论建立了一种基于负荷混沌特性和最小二乘支持向量机的短期负荷预测模型。

Secondly we reseach the prediction theory of chaotic time series,by combining fractal geometry theory and the maximum entropy principle,a new mathod of pridicting chaotic time serise is proposed based on phase space reconstruction.

其次，研究混沌预测的理论，在重构混沌时间序列的基础上，运用分形理论和最大熵原理，推导出一种新的混沌预测方法。

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。