Impulsive control of chaotic attractors in nonlinear chaotic systems

Based on the study from both domestic and abroad, an impulsive control scheme on chaotic attractors in one kind of chaotic system is presented. By applying impulsive control theory of the universal equation, the asymptotically stable condition of impulsive control on chaotic attractors in such kind of nonlinear chaotic system has been deduced, andwith it, the upper bond of the impulse interval for asymptotically stable control was given.Numerical results are presented, which are considered with important reference value for control of chaotic attractors.     

混沌时序相空间重构的分析和应用研究

在国内外学者工作的基出上,应用Legendere坐标法重构动力系统的相空间,研究了时序时隔τ的取值范围,讨论了时序间隔τ对相空间重构工作的影响,并用所提方法重构了系统的吸引子.算例表明所提方法是有效的.     

PREDICTION TECHNIQUES OF CHAOTIC TIME SERIES AND ITS APPLICATIONS AT LOW NOISE LEVEL

The paper not only studies the noise reduction methods of chaotic time series with noise and its reconstruction techniques,but also discusses prediction techniques of chaotic time series and its applications based on chaotic data noise reduction.In the paper,we first decompose the phase space of chaotic time series to range space and null noise space.Secondly we restructure original chaotic time series in range space.Lastly on the basis of the above,we establish order of the nonlinear model and make use of the nonlinear model to predict some research.The result indicates that the nonlinear model has very strong ability of approximation function,and Chaos predict method has certain tutorial significance to the practical problems.     

一类非线性金融系统分岔混沌拓扑结构与全局复杂性研究(Ⅰ)

首先从一类复杂金融系统的数学模型出发,分析这一模型所反映的我国宏观金融系统运行中可能出现的各种情况:平衡、稳定周期、分形、Hopf分岔、参数与Hopf分岔之间的关系、直到混沌运动等。通过理论分析和数值模拟计算来研究模型中各参数的变化情况,然后依此来分析这类金融系统局部产生复杂行为的条件,以及某一参数的变化对宏观经济政策的调整及对整个金融系统行为的影响情况,这一研究将有助于加深人们对各种金融政策杠杆作用的理解。     

The matric algorithm of Lyapunov exponent for the experimental data obtained in dynamic analysis

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The non-linear chaotic model reconstruction for the experimental data obtained from different dynamic system

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动力系统实测数据的非线性混沌特性的判定

本文利用相位随机化的替代数据方法，给出了一个对动力系统实测时间序列数据的特性进行判定的方法·计算结果表明：相位的充分随机化可提高判别的准确程度·把此判据用于随机时序与非线性混沌时序所得的判据值有明显的差异·     

相位随机化的分布规律对实测数据判值影响的分析

本文对服从不同分布的随机相位充分随枘化后对动力系统实测数据判值的影响做了分析研究，计算结果表明：不同分布的随机数相位充分随机化手对临界值无本质的影响，这 位随机化方法的可行性，实用性和广泛应用提供了一个证据。     

不同随机分布的相位随机化对实测数据影响的分析研究

本文对服从不同分布的随机数相位充分随机化后对动力系统实测数据生成的替代数据的影响做了分析研究，计算结果表明：不同分布的随机数相位充分随机化后对临界值无质的影响·这对相位随机化方法的可行性，实用性和广泛应用提供了理论依据，并对它对于实际问题的应用提供了具体的实施方法