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Depending on different system parameters, periodic orbit and strange attractor are given.

结合庞加莱截面分析方法导出系统吸引子，并给出了系统各参数分岔图。

Based on the concept of frequency analysis in periodic orbit theory and matrix principle, a method of changing fundamental frequency of chaotic systems is put forward.

文中基于混沌吸引子周期轨道理论的频域分析概念和矩阵分析原理提出了一种混沌系统基波频率变换方法。

What we obtain is the quasiperiodicorbit surrounding the fixed points of the stable periodic orbit.

要想得到周期轨道，需要寻找与脉冲强度对应的周期不动点，这也是控制保守系统的关键。

This paper introduces the concepts of space-bifurcation, direct motion, main saddle periodic orbit, and hybrid attractor.

引入了空间分叉、单向运动、主鞍周期轨道和混合吸引子等新概念。

First, the problem of stabilizing a given periodic orbit in a chaotic system is discussed. Then, a method for the stabilization of an unstable focus point is presented, which does not require the location of the focus point. At last, a method for the synchronization of chaotic systems using neural networks is proposed.

首先给出了使系统稳定在某个给定的周期轨道上的方法；接着讨论了如何使系统稳定在某个事先未知的不动点上；最后，提出了一种基于神经网络的混沌系统的同步化方法。

In this paper, first, a method of fundamental frequency transformation for chaotic systems is proposed based on the concept of frequency domain analysis in the periodic orbit theory of chaotic attractors and on the matrix principle.

文中基于混沌吸引子周期轨道理论的频域分析概念和矩阵分析原理，提出了一种混沌系统基波频率变换方法。

Furthermore,by using the periodic orbit theory,we calculate the Fourier transform ρ of the quantum spectra of the two-dimensional rectangular billiard system.

另外，利用周期轨道理论，我们计算了二维矩形弹子球体系的量子谱的傅立叶变换ρ。

Sometimes it is difficult to predict and calculate the periodic orbit, so the chaotic control technology based on Washout filter is used to control chaotic phenomena of DC/DC converter.

针对上述不足，本文采用了Washout滤波器来控制DC/DC变换器中的混沌现象，仿真结果证明了该方法的有效性。

Compared with the traditional numerical method,the periodic orbit extracted by the analytic approach is more accurate,requires smaller memory size and is more applicable in real time systems;Furthermore,it is more suitable for stable analysis and control of the systems.

与传统的数值提取法相比，所提出的解析法具有提取的周期轨道精确度高、周期轨道信息的存储量小、便于实时应用、易于进行稳定性分析和控制等优点。

The agreement of the peaks between |ρN|2 and the length of the classical periodic orbit suggests the correspondence of quantum mechanics and classical mechanics.

量子谱中的每一条峰正好对应一条经典周期轨道的长度，表明量子力学和经典力学的对应关系。

This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。