phase portrait

This paper provides a new qualitative simulation based method to construct phase portrait of nonlinear system .

提出了一种新的基于定性仿真的非线性动力系统相图构造方法。

So the phase portrait can be clearly depicted as the parameter changes .

利用这些结果可以清楚地描述这类方程当参数变化时相图的变化情况。

Then , for a given parameter group , its phase portrait trend is studied .

然后，对于一组特定的参数值，研究了它的相轨线的变化趋势；

The phase portrait and variance combined with other characteristic parameters can effectively improve the diagnosis precision .

将该方法与其他参数相结合，可以提高诊断精度，为大型离心式设备的故障诊断提供了一条有效途径。

The results show that the pseudo phase portrait is in some sense similar to an orbit .

研究结果表明：伪相图在一定程度上与转子的轴心轨迹类似；

The dynamical behavior of the system is analysed by the Fast Fourier Transform and the phase portrait .

计算了分叉图，通过频谱和相空间图能清晰地分析系统的动态行为。

The phase portrait analysis of three species Volterra model with the rates of constant harvest and constant invest

一些具有常收获率和常投放率的三种群Volterra模型的相图分析

Qualitative phase portrait is a geometrical state portrait constructed based on qualitative simulation method , which can express the global behavior of the system .

定性相图是基于定性仿真方法构造的、能够表达系统全局行为的几何状态图。

The system is further shown to be chaos quantificationally by computing the largest Lyapunov exponent and drawing phase portrait of this system .

然后进一步通过计算机从理论上计算了该系统的最大Lyapunov指数，并通过绘制了分岔图定量地说明了该系统具有混沌行为。

Classification of Z_7 - equivariant Planar Hamilton Phase Portrait

一类7次Z7-等变平面Hamilton系统相图的分类

For the given parameters , the quantitative and qualitative analyses to the phase portrait and motion circle of the nonlinear free vibration are dealt with .

对给定参量的非线性自由振动的相位图特性、振动周期等进行了定量及定性研究。

The motion behavior of system are described through the bifurcation diagrams , the time-history curve , phase portrait and Poincar é map . 2 .

通过分岔图、位移时程曲线、相平面图和Poincaré映射描述了系统的运动行为。

Phase portrait technique was used to analyze the horizontal motion of a roll and determine a limit circle which could describe the path of sticking-sliding motion .

应用相平面法分析了轧辊水平运动规律，并确定了粘着-滑动运动的极限环，定性地分析了轧辊水平运动的动力学特性。

At last , the Lyapunov exponent and phase portrait are utilized in the analysis of nonlinear , the approximate entropy is utilized to measure the complexity .

最后，应用李雅普诺夫指数和相图分析了同步振荡的非线性，应用近似熵分析了同步振荡的复杂性。

Lastly , the bifurcation diagram , the time-history curve , phase portrait and Poincar é map are calculated by means of MATLAB software . The numerical characters of chaotic motion are obtained .

使用Matlab软件计算了分岔图、相图、时程曲线和poincaré映射，给出了混沌运动的数字特征。

Using the phase portrait of system , the motion status of autonomous and non-autonomous systems under given parameters was analyzed . The chaos forming process of non-autonomous system was analyzed by the use of Poincar é mapping diagram .

利用系统的相图分析了给定参数下自治系统及非自治系统的运动状态，用Poincaré映射图分析了非自治系统混沌的形成过程。

We compared the model output ' ( derivatives of postsynaptic potentials which is corresponding to EEG ) plot , power spectrum , phase portrait , and correlation dimension with the original output ' ( no perturbation is added ) .

把加入控制前后的模型输出（模型中神经元群的突触后电位的导数，与EEG相对应）的波形、功率谱、相平面图和相关维数进行了比较，并以相关维数作为混沌指标。

A unified nonsingular control framework that enables both tracking and stabilization of unicycle type wheeled mobile robots is proposed . With the aid of dynamic feedback linearization and sliding mode control techniques , phase portrait analysis plays a key role in the design method .

对unicycle类型轮式移动机器人，基于相平面分析技术，结合动态反馈线性化和滑模控制，提出了一种非奇异的镇定和跟踪控制统一设计框架。

By plotting bifurcation diagrams , the relation between stability versus parameters of the impact system is analyzed . And the phase plane portrait and Poincar é map of structure exhibit the process of the system motion from double-period to chaos more obviously .

利用分岔图分析稳定性与参数的关系，并且画出了倍周期分岔图的相图和庞加莱映射，使倍周期通向混沌过程表现得更明显直观。