计算球面对称动力系统Lyapunov指数

通过跟踪球面上相距很近的两个点的球面轨道并计算球面点之间的球内弦长,提出计算球面动力系统轨道的平均Lyapunov指数的计算公式.采用该方法,实现了随机搜索参数并自动计算相应动力系统的Lyapunov指数.当Lyapunov指数大于0时,可得到一个构造球面混沌吸引子的动力系统;当Lyapunov指数小于0时,可得到一个构造球面充满Julia集的动力系统.文中提出的方法可用于随机搜索参数进而生成球面上的对称混沌吸引子和充满Julia集图形.     

一种改善Tent混沌序列随机性的方法

Tent混沌映射具有良好的遍历性和均匀性,但其随机性不理想。为此,提出一种改善Tent混沌序列随机性的方法。通过将Tent混沌映射变换为分段混沌映射,增大Lyapunov指数,改善相关系数和功率谱特性。对序列进行NIST随机性测试,结果表明,该分段Tent映射的序列具有较好的随机性,适用于通信与信息安全领域。     

遗传算法的改进及其工程应用研究

控制器参数的优劣对工业控制器的性能影响较大,参数寻优也是当前智能算法的主要研究的方向之一。遗传算法因其优良的寻优能力得到了广泛的发展,但其本身尚存在诸多问题有待改进。针对传统遗传算法种群多样性较差、优化过程中易过早收敛的缺点,在传统遗传算法的基础上提出并加入了一种种群精简优化算法,提高了寻优精度。将该算法应用于工业转炉汽包液位控制系统参数寻优,提高了液位控制精度。     

分布式多维标度定位算法的研究

针对经典MDS-MAP定位算法在定位精度和算法复杂度方面的不足,提出一种分布式多维标度定位算法。改进后的算法加入了分簇的思想,将大规模网络分成多个具有簇首的局部网络。局部定位时,引入Hop-Euclidean算法,计算簇内节点间距离,再用局部网络融合算法将局部相对坐标图合并成全局相对坐标图。仿真分析表明,提出的算法在各向同性和各向异性网络中都有很好的定位精度,而且在定位精度提高的情况下可用于不规则网络,有利于网络的扩展,更适用于大规模密集型网络。     

Interplay Between Wetting and Phase Behavior in Binary Polymer Films and Wedges: Monte Carlo Simulations and Mean Field Calculations

Confining a binary mixture, one can profoundly alter its miscibility behavior. The qualitative features of miscibility in confined geometry are ratheruniversal and shared by polymer mixtures as well as small molecules, but the unmixing transition in the bulk and the wetting transition are typically well separated in polymer blends. The interplay between wetting and miscibility of a symmetric polymer mixture via large-scale Monte Carlo simulations in the framework of the bond fluctuation model and via numerical self–consistent field calculations is studied. The film surfaces interact with the monomers via short ranged potentials, and the wetting transition of the semi–infinite system is of first order. It can be accurately located in the simulations by measuring the surface and interface tensions and using Young’s equation. If both surfaces in a film attract the same component, capillary condensation occurs and the critical point is close to the critical point of the bulk. If surfaces attract different components, an interface localization/delocalization occurs which gives rise to phase diagrams with two critical points in the vicinity of the pre-wetting critical point of the semi–infinite system. The crossover between these two types of phase diagrams as a function of the surface field asymmetry is studied. The dependence of the phase diagram on the film thickness Δ for antisymmetric surface fields is investigated. Upon decreasing the film thickness, the two critical points approach the symmetry axis of the phase diagram, and below a certain thickness Δ_tri, there remains only a single critical point at the symmetric composition. This corresponds to a second-order interface localization/delocalization transition even though the wetting transition is of first order. At a specific film thickness, Δ_tri, tricritical behavior is found. The behavior of antisymmetric films is compared with the phase behavior in an antisymmetric double wedge. While the former is the analog of the wetting transition of a planar surface, the latter is related to the filling behavior of a single wedge. Evidence for a second-order interface localization/delocalization transition in an antisymmetric double wedge is presented, and its unconventional critical behavior is related to the predictions of Parry et al. (Phys. Rev. Lett. 83:5535 (1999)) for wedge filling. The critical behavior differs from the Ising universality class and is characterized by strong anisotropic fluctuations.Invited paper presented at the Fifteenth Symposium on Thermophysical Properties, June 022–27, 2003, Boulder, Colorado, U.S.A.     

基于暂态电流信号的EHV输电线路保护新方案

提出了一种基于单端电流暂态信号小波变换的超高压输电线路快速保护方案。利用单端暂态电流信号的小波变换模极大值,对电流信号的李氏指数进行最小二乘法估计,来判断故障线路。通过大量ATP仿真证明,在各种故障情况下该保护算法能准确、可靠地动作。     

短期电力负荷预报间隔采样混沌模型

现有研究工作表明电力系统负荷数据具有弱混沌性。在负荷预测混沌建模方法中,Lvapunov指数预报模式具有理论基础强、模型简单、预测精度高等优点,但预测时限受负荷吸引子最大Lyapunov指数限制。针对Lyapunov指数预报模式的不足,提出了k-△t间隔采样混沌模型,首先将原始负荷序列分解为多个不相交的了序列,然后对各个子序列分别建立Lyapunov指数预报模型。改进了求解最大 Lyapunov指数的方法,探讨了原始负荷序列最大可分解子序列数目的确定依据。数值实验结果表明文中提出的模型能有效地提高负荷预测精度、增加预测时限。     

Image edge detection based on multi-fractal spectrum analysis

In this paper, an image edge detection method based on multi-fractal spectrum analysis is presented. The coarse grain H?lder exponent of the image pixels is first computed. then, its multi-fractal spectrum is estimated by the kernel estimation method. Finally, the image edge detection is done by means of different multi-fractal spectrum values. Simulation results show that this method is efficient and has better locality compared with the traditional edge detection methods such as the Sobel method. __________ Translated from Journal of Hunan University (Natural Sciences), 2004, 31(4): 28–33     

基于混沌时间序列的旋转机械状态趋势预测研究

针对旋转机械设备的非平稳运行状态,以混沌理论为基础,将最大Lyapunov指数的预测模型引入旋转机械故障趋势预示,阐述了构造预报函数f ^或F ^的两种方法,提供了混沌时间序列的最大可预测时间的计算方法,通过对大型机组实验数据的分析,证明了在最大预测时间内,该预测方法是较理想的.     

森林叶面积指数遥感反演与空间尺度转换研究

以贵州省黎平县为研究区,着重研究森林叶面积指数(LAI)的ETM遥感信息反演和向1km空间尺度转换算法.通过LAI-2000的针叶林和阔叶林等植被类型的LAI实地观测,建立实测LAI与ETM影像归一化植被指数(NDVI)的相关关系并进行LAI遥感制图,并在陆地覆盖类型遥感分类信息提取的基础上,发展了针叶林、混交林和空旷地三种地表类型LAI的向上空间尺度转换算法,以对粗分辨MODIS遥感数据的LAI产品实现LAI算法的转换与校正,并通过示例应用显示了本研究空间尺度转换算法的有效性.