奇异吸引子

横向磁场导致CO2激光器混沌运转及其奇异吸引子的观测

Chaos and observation of strange attractor in co_2 laser with transverse magnetic field

非理想MHD流的奇异吸引子与混沌现象

Strange attractor and chaotic phenomena in non-ideal MHD flow

结果表明，Lorenz系统不仅具有动力学特性（混沌特性和奇异吸引子特性），还具有对称性和周期性。

The results show that the Lorenz system not only has dynamical characters , but also symmetric and period characters .

混沌动力系统中Rossler奇异吸引子数值仿真分析

Analysis for the Simulating Attributes of Rossler strange Attractor in Chaos Dynamic System

利用三种方法判定该信号是否具有混沌特性：在三维相空间观察奇异吸引子；分别从最大李氏（Lyapunov）指数满足的方程出发以及wolf法计算其最大李氏指数；

Three methods are used to judge the signal maintaining chaos characteristics or not : watching the strange attractor in three-dimensional phase space , computing the largest Lyapunov exponent by the equation it meets and wolf method , and computing self-power spectrum density function .

理论和数值分析表明：这组方程蕴含一个奇异吸引子，它具有不同于Lorenz吸引子的一些新特性；

Theoretical and numerical analysis shows that the set of equations implies a strange attractor with several novel features differing from Lorenz attractor and , in particular , the coexistence of all three routes to chaos in that model .

Duffing方程是描述共振现象、调和振动、次调和振动、拟周期振动、概周期振动、奇异吸引子和混沌现象（或随机过程）的简单数学模型，在机械和电子工程技术中有许多重要的应用。

Duffing equation is one of the commonest examples to describe the resonance , harmonic vibration , subharmonic vibration , quasi-periodic vibration , almost periodic vibration , singular attractors and chaos phenomena , etc. And it has abroad applications in mechanics and electronic technologies .

本文首先讨论了判断时间序列具有混沌性态的准则，探索了求时间序列奇异吸引子嵌入维数的方法，并用G-P算法求关联维数。

This paper , first discusses the principle to identity a time series with chaotic character , and explores a method of finding out the embedding dimensions of time series , and calculate correlative dimension using G-P method .

强迫布鲁塞尔振子奇异吸引子的柯尔莫哥洛夫容量和李雅普诺夫维数

Kolmogorov capacity and Lyapunov dimension of strange attractors of forced Brusselator

取样锁相环中的奇异吸引子及混沌

Strange attractors and chaos of the sampled pase - locked loops

研究多中心奇异吸引子混沌相位的新方法

New methods to study the phase of chaos with multiple rotating center

国际石油价格波动中的奇异吸引子分析

The Analysis of Strange Attractor in the Fluctuation of International Oil Price

奇异吸引子的细胞模型及混沌存在定理的建立

A cell model of strange attractor and two theorems of chaos existence

智慧语言：大学课堂的奇异吸引子；

Wisdom language : the strange abstraction of it ;

东亚降水系统是具有奇异吸引子的浑沌系统，具有显著的复杂性。

East Asian precipitation systems are chaotic systems with strange attractors and complexity .

关于混沌运动奇异吸引子的近似解析式和几何形状

On the Appoximate Analytic Form and Geometric Structure of Strange Attractor in chaotic Motion

奇异吸引子以其富有特性的特殊形状已经成为众多出版物中混沌的符号和化身。

The strange attractor , with its characteristic special shape , has become a much-published symbol of chaos .

本文研究取样锁相环中的奇异吸引子及混沌现象。

This paper makes a study of attractors and chaotic phenomena of the Sampled Phase - Locked Loops .

主要讨论细胞神经网络中的一类特殊奇异吸引子，它由两个稳定平衡点和一个不稳定平衡点（鞍点）及其流形形成。

A sort of special strange attractors which are made up of two stable equilibria and one saddle is discussed chiefly .

混沌动力系统的奇异吸引子所具有的无穷自相似性使混沌理论和分形学自然紧密联系。

The natural tightly was connected between chaos and Fractal due to the infinite similarities of strange attractor of chaotic dynamic system .

同业拆借利率波动中存在吸引子，该吸引子是具有分数维和敏感依赖性的奇异吸引子。

There are attractors in the fluctuation of interbank rates . And the attractors are strange attractors with fractal dimension and susceptible dependence .

建立三阶自治系统的奇异吸引子的一种“细胞摸型”，并对此模型作了详细解释。

This paper presents a cell model of strange attractor in third order chaotic systems , and the explanation of the model is given in detail .

本文讨论多分形相变、反常运输和奇异吸引子中的差异协同问题。

In this paper the difference and synergism in diffusion-limited aggregation , anomalous diffusion and strange attractors are studied by using the theory of fractal geometry .

然后，在重构相空间中，根据奇异吸引子的分形特性提取非线性特征量，用于目标的分类或识别。

In reconstructed phase space of angular glint serials , the fractal features of strange attractions are calculated as target nonlinear characteristics used in targets classify .

本文还将新度量用于混沌信号分析，表明它们都是在经典的互信息之外的奇异吸引子重构时延的好的选取准则。

These new measures are also applied to chaotic signal analysis . They are shown to be good criteria beyond the classical MI for choosing delay in strange attractor reconstruction .

本文对它们进行了混沌检验，发现我国证券市场中含有奇异吸引子，它控制着价格的运动，它是混沌过程。

The study examines the chaos in Chinese securities market and finds there exists strange attractors , which control the movement of the price . So it 's a chaotic process .

从时间演化行为来看，银行间同业拆借利率具有非线性混沌行为，同业拆借利率波动中存在奇异吸引子，因此对利率的长期预测是不可能的。

In the time evolutionary behavior , interbank rates have nonlinear chaotic behavior . There are strange attractors in the fluctuation of interbank rates , which make the long term forecast impossible .

湍流是一个非线性复杂大系统，精细地研究其奇异吸引子的几何结构和动力学行为是不可能和不必要的，必须进行统计研究。

A turbulent fluid is a complex nonlinear large system and it is impossible as well as unnecessary to make detailed study of the geometrical structure and dynamical behavior of its strange attractors . Hence a statistical study is indispensable .

认为地震道是混沌的时间序列，混沌运动的轨迹在相空间中的某个区域内经无穷次的折迭，扭曲和拉伸，构成一个有无穷层次嵌套的自相似结构&奇异吸引子。

The seismographical channel is a chaotic time series . The trajectory of the motion of chaos in some region of the phase space via fold , torsion and stretch infinite times , constitutes a self similarity structure with infinite hierarchical imbeddings .

在仿真计算的基础上，发现尽管小尺度小波变换时，奇异吸引子的整体形状发生了改变，但小波变换模数的关联维数与动力系统本身是一致的。

Based on emulation calculation , it has been found that the correlation dimension of the small-scale wavelet transform modulus of discrete and continuous chaotic dynamical system is the same as the system ′ s , though the attractor shape changed after wavelet transform .