一个新混沌系统的自适应反同步控制及实现     

李涛  郑雅婷  吴庆庆 《南京气象学院学报》2014,6(4):306-311

针对所提出的一类新型混沌系统,研究了其驱动与响应系统的反同步控制问题.基于李雅普诺夫稳定性理论,利用自适应控制方法,提出了可以实现混沌系统反同步的控制器的设计方法和参数自适应学习算法.在此基础上,通过Matlab软件进行数值仿真,仿真结果显示所有的参数均可以得到准确地识别,并且可以在较短的时间内使误差系统趋于稳定,说明了控制器与参数自适应律的正确性.最后,基于Multisim电路仿真平台对同步电路进行验证,结果进一步证明了该方法的电路可实现性.  相似文献   

蕴震系统的耗散性及其自组织行为     

陈子林  周硕愚 《大地测量与地球动力学》1993,(1)

本文首先给出了守恒系统与耗散系统的性质与运动规律和开放的耗散体系的自组织演化行为,进而给出了由大区域构造网络所组成的蕴震系统是一个开放的耗散系统的论证,并分析了该系统的自组织行为和时空演化的吸引子。以京津唐地区为例,使用单序列的重建复杂系统动力学方法(时间域)和多时间序列的复杂系统动力学分析方法(空间域),由大灰厂形变水准资料的计算得出大地震前具有减熵、降维和Lyapunov指数上升的变化趋势,由该地区12个形变台站组成的前兆场的空间分布的分析得到一个2.9维的分形分布、4～5年的可预报期限(K_1=0.0885)和一个正的Lyapunov指数(0.09864)。这表明系统的时空分布沦入一个浑沌吸引子中,具有分形结构和自组织演化行为以及临界失稳的共性。  相似文献   

New properties of scalar-field dynamics in an isotropic cosmological model on the brane     

A. V. Toporensky  P. V. Tret'yakov  V. O. Ustiansky 《Astronomy Letters》2003,29(1):1-5

We investigate some aspects of the scalar-field dynamics on the brane that differ from the corresponding regimes in standard cosmology. We consider asymptotic solutions near singularity, inflation and rebound conditions, and some features of chaos in the model on the brane. Our results are compared with their analogs in classical cosmology.  相似文献   

Global chaoticity in the Pythagorean three-body problem     

S. J. Aarseth  J. P. Anosova  V. V. Orlov  V. G. Szebehely 《Celestial Mechanics and Dynamical Astronomy》1994,58(1):1-16

The effects of small changes in the initial conditions of the Pythagorean three-body problem are investigated by computer simulations. This problem consists of three interacting bodies with masses 3, 4 and 5 placed with zero velocities at the apices of a triangle with sides 3, 4 and 5. The final outcome of this motion is that two bodies form a binary and the third body escapes. We attempt to establish regions of the initial positions which give regular and chaotic motions. The vicinity of a small neighbourhood around the standard initial position of each body defines a regular region. Other regular regions also exist. Inside these regions the parameters of the triple systems describing the final outcome change continuously with the initial positions. Outside the regular regions the variations of the parameters are abrupt when the initial conditions change smoothly. Escape takes place after a close triple approach which is very sensitive to the initial conditions. Time-reversed solutions are employed to ensure reliable numerical results and distinguish between predictable and non-predictable motions. Close triple approaches often result in non-predictability, even when using regularization; this introduces fundamental difficulties in establishing chaotic regions.  相似文献   

Is a chaotic multi‐fractal approach for rainfall possible?     

Bellie Sivakumar 《水文研究》2001,15(6):943-955

An Erratum has been published for this article in Hydrological Processes 15 (12) 2001, 2381–2382. Applications of the ideas gained from fractal theory to characterize rainfall have been one of the most exciting areas of research in recent times. The studies conducted thus far have nearly unanimously yielded positive evidence regarding the existence of fractal behaviour in rainfall. The studies also revealed the insufficiency of the mono‐fractal approaches to characterizing the rainfall process in time and space and, hence, the necessity for multi‐fractal approaches. The assumption behind multi‐fractal approaches for rainfall is that the variability of the rainfall process could be directly modelled as a stochastic (or random) turbulent cascade process, since such stochastic cascade processes were found to generically yield multi‐fractals. However, it has been observed recently that multi‐fractal approaches might provide positive evidence of a multi‐fractal nature not only in stochastic processes but also in, for example, chaotic processes. The purpose of the present study is to investigate the presence of both chaotic and fractal behaviours in the rainfall process to consider the possibility of using a chaotic multi‐fractal approach for rainfall characterization. For this purpose, daily rainfall data observed at the Leaf River basin in Mississippi are studied, and only temporal analysis is carried out. The autocorrelation function, the power spectrum, the empirical probability distribution function, and the statistical moment scaling function are used as indicators to investigate the presence of fractal, whereas the presence of chaos is investigated by employing the correlation dimension method. The results from the fractal identification methods indicate that the rainfall data exhibit multi‐fractal behaviour. The correlation dimension method yields a low dimension, suggesting the presence of chaotic behaviour. The existence of both multi‐fractal and chaotic behaviours in the rainfall data suggests the possibility of a chaotic multi‐fractal approach for rainfall characterization. Copyright © 2001 John Wiley & Sons, Ltd.  相似文献   

Report on the dynamical evolution of an axially symmetric quasar model     

N. J. Papadopoulos  N. D. Caranicolas 《Journal of Astrophysics and Astronomy》2006,27(4):389-397

The role of the angular momentum in the regular or chaotic character of motion in an axially symmetric quasar model is examined. It is found that, for a given value of the critical angular momentumL _zc , there are two values of the mass of the nucleusM _n for which transition from regular to chaotic motion occurs. The [L _zc – M _n ] relationship shows a linear dependence for the time independent model and an exponential dependence for the evolving model. Both cases are explained using theoretical arguments together with some numerical evidence. The evolution of the orbits is studied, as mass is transported from the disk to the nucleus. The results are compared with the outcomes derived for galactic models with massive nuclei.  相似文献   

智能优化LSSVM算法的混沌时间序列边坡变形预测模型     

徐南  马符讯  贾东振 《测绘与空间地理信息》2015,(2):9-11,17

边坡变形序列存在一定混沌特征,本文将混沌分析方法应用到边坡变形预测中。为解决标准LSSVM模型中惩罚参数和核函数参数因任意给定或经验给定带来的非最优问题,将遗传算法和粒子群算法引入LSSVM模型,根据变形序列建立GA-LSSVM和PSO-LSSVM预测模型,与标准LSSVM混沌预测模型和基于神经网络的混沌预测模型进行比较。结果表明,GA-LSSVM和PSO-LSSVM模型预测中误差分别为0.73 mm和0.77 mm,LSSVM,BP,RBF三种模型中误差分别为0.90 mm,0.80 mm和0.75 mm;因此,本文提出的预测模型用于边坡变形预测比其他几种模型具有更高的精度。  相似文献   

混沌蜂群优化的NSST域多光谱与全色图像融合     

吴一全  王志来 《遥感学报》2017,21(4):549-557

为有效融合多光谱图像的光谱信息和全色图像的空间细节信息,提出了一种基于混沌蜂群优化和改进脉冲耦合神经网络(PCNN)的非下采样Shearlet变换(NSST)域图像融合方法。首先对多光谱图像进行Intensity-HueSaturation(IHS)变换,全色图像的直方图按照多光谱图像亮度分量的直方图进行匹配;然后分别对多光谱图像的亮度分量和新全色图像进行NSST变换,对低频分量使用改进加权融合算法进行融合,以互信息作为适应度函数,利用混沌蜂群算法找到最优加权系数。对高频分量采用改进脉冲耦合神经网络(PCNN)方法进行融合,再经NSST逆变换和IHS逆变换得到融合图像。本文方法在主观视觉效果和信息熵、光谱扭曲度等客观定量评价指标上优于基于IHS变换、基于非下采样Contourlet变换(NSCT)和非负矩阵分解(NMF)、基于NSCT和PCNN等5种融合方法。本文方法在提升图像空间分辨率的同时,有效地保留了光谱信息。  相似文献   

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栾元重  栾亨宣  马德鹏  刘娜  周岩 《大地测量与地球动力学》2013,33(5):133-135

?纣??????????硢????????????????????????????α???????????????????????????????????????db10С???????????????????????????????е???????????????С???????????????????????????????????????Lyapunov??????????????????ж???????????????????????????????????????з??????????????????????????  相似文献   

Extracting predictable components and forecasting techniques in extended-range numerical weather prediction     

WANG QiGuang  CHOU JiFan  FENG GuoLin 《中国科学:地球科学(英文版)》2014,57(7):1525-1537

This paper refers to the CNOP-related algorithms and formulates the practical method and forecast techniques of extracting predictable components in a numerical model for predictable components on extended-range scales.Model variables are divided into predictable components and unpredictable chaotic components from the angle of model prediction error growth.The predictable components are defined as those with a slow error growth at a given range.A targeted numerical model for predictable components is established based on the operational dynamical extended-range forecast(DERF)model of the National Climate Center.At the same time,useful information in historical data are combined to find the fields for predictable components in the numerical model that are similar to those for the predictable components in historical data,reducing the variable dimensions in a similar judgment process and further correcting prediction errors of predictable components.Historical data is used to obtain the expected value and variance of the chaotic components through the ensemble forecast method.The numerical experiment results show that this method can effectively improve the forecast skill of the atmospheric circulation field in the 10–30 days extended-range numerical model and has good prospects for operational applications.  相似文献