现在我们继续讨论，谈谈轨道，特别是那些所谓的周期轨道彗星。
Let's continue our discussion now by talking about orbits, especially those of the so-called periodic-orbit comets.
研究混沌离散系统中不稳定周期轨道的镇定问题。
The stabilization problem of unstable periodic orbits embedded in chaotic discrete-time systems is discussed.
通过调节反馈强度可以得到不同的稳定周期轨道。
Different periodic orbits can be obtained by changing feedback intensity.
本文主要利用映射的下降给出一类二维自映射的周期轨道。
This paper mainly USES the descent of the maps to give a periodic orbit of class continuous map of the square.
既能使混沌系统稳定到不动点，也能使混沌系统稳定到周期轨道。
Chaotic systems can be stabled onto their fixed-points and period trajectories.
提示出非稳定周期轨道在神经不规则放电节律的动力学之中起着重要作用。
These results suggest that the UPO play an important role in the dynamics of the irregular firing pattern of neuron's discharge.
利用庞加莱映射将周期轨道的稳定性分析转化为映射平面上不动点的稳定性分析。
With the help of Poincare mapping, the stability problem of periodic orbits was changed to that of the fixed points on the mapping plane.
结论非稳定周期轨道可以刻划hrv的动力学性质，是分析HRV的潜在的方法。
Conclusion UPOs can be used to characterize the dynamics of HRV and is a potential method to analyze HRV.
研究了编队飞行的控制系统结构和共线拉格朗日点附近的周期轨道保持控制问题。
Secondly, the control system structure and station keeping problems near collinear Lagrange points are studied.
数值计算耦合单峰格子(CLL)的两种典型模式，得到了一系列稳定的时空周期轨道。
Two typical pattern in coupled logistic lattices (CLL) are calculated numerically and a series of stabilized spatiotemporal periodic orbits are obtained.
利用OGY方法必须预先知道系统要被稳定的周期轨道，并且这种方法控制的实时性较差。
But the periodic orbit of the system must be found, before OGY method can work.
本文指出了一族单峰映射存在周期为奇数的周期点，并进一步研究了某些周期轨道的结构。
This paper shows the existence of odd periodic points for a class of unimodal maps of the interval and gives order constructure of some periodic orbits.
利用频谱分析法对周期运动和混沌运动进行判断，并对嵌于不同混乱带中的周期轨道进行区分。
By using the frequency analysis method the periodic motions and chaotic motions are judged, and the periodic orbits embedded in different chaotic bands are distinguished.
计算机仿真模拟结果显示，可以将系统稳定在不同的周期轨道，从而证明了所给方法的有效性。
Value simulant results by computer show the system can be stabilized into different periodic orbits by using of the method, and testify this method is valid.
李炳熙。1984。高维动力系统的周期轨道：理论和应用[M]。上海：上海科学技术出版社。
Li Bingxi. 1984. Periodic orbits of high dimensional dynamical systems: Theory and Applications [m]. Shanghai: Shanghai science and Technology Press.
这种分析的概念的基础是将所观察到的神经元活动抽象成用非稳定周期轨道的分级所描述的动力学图。
The conceptual foundation of this analysis is the abstraction of observed neuronal activities into a dynamical landscape characterized by a hierarchy of "unstable periodic orbits" (UPOs).
对于条件周期轨道(如晕轨道)必须在控制过程中考虑高次项，控制条件复杂，技术上实现相对困难。
For conditional periodic orbits (such as Halo orbits), high-order terms should be taken into consideration in the control process, and, technically speaking, this is complicated to achieve.
本文给出了一维单谷映象周期轨道的符号动力学的符号排序规则，并对强迫布鲁塞尔振子模型作了讨论。
Gives the rule of signs arrange of signs dynamics of periodic orbital on one dimension single valley image, and discusses the model of the forced Brussels vibrator.
机器的有限精度会导致它的混沌序列进入周期轨道，解决有限精度的短周期效应又会产生序列的平衡问题。
A machine with finite precision would lead its chaotic sequences into periodic orbits, while solving the periodic effect of finite precision produce the balance problem of the sequences.
结果表明，通过改变系统变量之间的线性变换矩阵，可以实现混沌系统中各种不稳定周期轨道的稳定控制。
The results show that the UPOs embedded in the chaotic system can be stably controlled by changing the linear transformation matrix of system variables.
基于微分修正算法给出了一种简单的拟周期轨道保持控制方法，数值仿真表明该方法具有较高的控制效率。
A simple station keeping control algorithm is given based on differential corrections, and numerical simulation shows that the algorithm is very effective.
该方法能有效控制铁磁谐振过电压从混沌状态转移到期望的周期轨道，实现系统状态在混沌和有序之间的转换。
The proposed method can effectively control the ferroresonance over voltage from the chaos to period orbit and implement the transformation of system status between chaotic and ordered situation.
目的研究立位心脏R- R间期信号的非稳定周期轨道的结构，进一步探讨心率变异（HRV）的动力学特征。
Objective To study structure of the unstable periodic orbits (UPOs) of R-R interval signals of heart during orthostatic standing, and to reveal the dynamic characters of heart rate variability (HRV).
在此基础上，进一步对阵发放电的非稳定周期轨道分级进行了初步研究，检测到了显著的周期2与周期3轨道。
We also detected the orbits with higher periods, and highly significant unstable period 2 and period 3 orbits were identified.
采用单限幅的方式，得到了被稳定住的不同的周期轨道，同时进行了数值模拟计算，模拟结果与实验结果相吻合。
Some stabilized different periodic orbits were obtained in the mode of single limited amplitude, and simulation results are in accord with the experiment.
外激励相位控制采用微小信号控制并使控制信号与系统的不稳定周期轨道达到最佳相位匹配，获得最佳控制效果。
The small control is adopted also in the phase control and the best phase matching between the control signal and the unstable periodic orbit is reached. Then the best effect of control is got.
其次，应用泰勒展开定理，设计了一种近似的延迟反馈控制方法，将受控的系统稳定到希望的周期轨道或平衡点上。
Secondly, we design an approximated delay feedback control method by applying Taylor theorem; it can make the controlled system stabilize the expected periodic orbits or equilibrium points.
利用周期轨道理论，我们计算了在不同情况下，一个粒子在二维谐振子势中存在和不存在磁通量时的量子能级密度。
Using the periodic orbit theory, we computed the quantum level density of a particle in the two-dimensional harmonic oscillator potential with and without the magnetic flux line for different cases.
第一种控制方案是一种微扰控制，并能将BZ-CSTR化学混沌稳定控制到其内嵌的不稳定周期轨道（UPO）上去。
The first control method is a kind of perturbation control and can stabilize the BZ-CSTR chemical chaos to its embedded unstable periodic orbits (UPO).
为刻划心脏节律存在的确定性动力学特征，运用不稳定周期轨道分析方法对健康青年人的RR间期时间序列数据进行分析。
To characterize the deterministic dynamics in heart rhythm, the unstable periodic orbit analysis were the RR interval time series of healthy young men.
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