查询词典 a chaotic state

We have studied the chaotic neural networks and the phase spaceprediction model based on chaotic attractor.

本文研究了混沌学习算法神经网络的预测性能和基于混沌吸引子的相空间预测模型。

Based on the delay-coordinate reconstruction and bilinear expressions in the phase space of a chaotic system, a bilinear adaptive filter was designed to predict low-dimensional chaotic time series.

基于混沌动力系统相空间的延迟坐标重构和双线性表达式，设计了预测混沌时间序列的双线性自适应预测滤波器。

Then, introducing the improved straight-line stabilization method to control the chaotic phenomena in the models, a controller is designed to stabilize the biological population in the oribits where the fixed points lie on, thus eliminating the chaotic phenomena in population to keep the population system in persistent existence.

其次采取改进的直线稳定化方法控制模型所存在的混沌现象，设计并求得了使得生物种群稳定到不动点轨道的控制器，最终消除了种群中存在的混沌现象，从而保持了种群系统的持续生存。

The characteristic exponent based on a probabilistic dynamical system is calculated, which provides some useful information on unstable periodic orbits of the chaotic economic dynamical system. An effective controlling parameter is chosen by discussing the sign of the characteristic exponent. Furthermore, the control regions of the parameter variable are proposed. Therefore the controllable domain of chaos in the chaotic economic model can be obtained.

提出一种等价关系，计算基于概率的动力系统的特征指数，给出混沌经济动力系统的不稳定周期轨道的有用信息，通过讨论特征指数的符号，选择有效的控制参数，得到相应的控制参数取值范围，从而得到混沌经济模型中的参数变量的混沌控制域。

Based on the equilibrium equation of an arch element the cubic nonlinear dynamic model with second order is established and the nonlinear differential dynamic system without constant term is obtained through a transfer process of T=U+b. Hence three fixed points and the homoclinic orbits are found. The critical condition of the chaotic vibration of the elastic arch is given by using the method of Melnikov function. The numerical results of the stationary and chaotic motion are given and discussed.

首先利用拱的单元平衡方程建立了拱的二阶三次非线性动力学模型；然后通过变换使方程转化为不含常数项的非线性微分动力系统，并由此得到无扰动系统的3个不动点与同宿轨道；再用Melnikov函数法给出了发生混沌的临界条件；最后给出了该系统出现定常运动和混沌运动的数值结果。

As an application, it is proved that a continuous map of an interval is chaotic iff it is distributively chaotic in a sequence.

给出紧度量空间上连续映射按序列分布混沌的一个充分条件，并证明区间连续自映射是混沌的当且仅当它是按某序列分布混沌的。

The new transient chaotic neural network algorithm selectively carefully searchs some states to clarify distribution of small and convergence region during chaotic search.

然后根据这些先验信息，更合理地控制暂态神经元的动力学行为。

Firstly, Some of the basic concepts of chaotic vibration are introduced, the qualitative and quantitative methods of chaotic vibration identification are detailed, the selection of associated parameters is studied, the algorithms for calculating the maximum Lyapunov exponent, correlation dimension and periodicity ratio are provided. On the basis of analysis and comparison of different methods, the methods used in the paper are selected.

本文首先介绍了混沌振动的基本概念；评述了混沌振动识别的定性和定量方法；对有关参数的选择进行了研究；给出了计算最大Lyapunov指数、相关维数和周期比的算法；在对不同方法对比分析的基础上，选出了本文拟采用的识别方法。

This thesis presents two approaches for designing chaotic cryptosystem. The cryptosystem combines cryptograph with chaotic synchronization.

本论文提出两种设计混沌密码器的方法，混沌密码器是结合混沌同步的特性及密码学的技术而成。

From the opposite direction of the parameter variation, the chaotic quasi-attractor suddenly changes to a chaotic quasi-transience due to the sudden appearance of a stable elliptic island chain as the leaking hole inside it. This resembles the conventional crises.

从相反的参数变化方向看，混沌类吸引子在此参数临界值由于它内部突然出现一个稳定的椭圆岛链作为逃逸孔洞而突然转变为混沌类瞬态，这类似于传统的激变行为。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。