极限环

In this paper,the mechanism of circle existing in nature is discussed,the circle contribution to mathematics is analyzed,a design of limit circle model for sustainable development for economics and society is put forward.

探讨了自然界圆形存在的机理，分析了圆对数学发展的贡献，提出了建立经济与社会可持续发展极限环模型的设想。

The averaging method is used to analyze this model,the phase diagrams and the time history curve of this system are achieved,the results show that its movement converges to a limit circle oscillation.

利用平均法对系统进行了近似求解，得到了系统的运动相图及时间历程曲线，结果表明系统运动收敛于稳定的极限环，所得结果与实验吻合得较好。

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。

Using numerical analysis and visual technology, the parameters of the known Rayleigh van der pol equation are discussed in detail The relation between the limit circle and chaos strange attractors is foun

通过数值分析及科学可视化技术，对著名的 Rayleigh Van Der Pol方程的参数进行较详细的讨论，获得该方程的混沌吸引子与极限环的关系

Circle ; natural attribute ; variation ; limit circle ; sustainable development ; square ; harmoniousness ; coexist

圆； 自然属性；变分；极限环；可持续发展；方；和谐；共处

The global stability of the positive equilibrium in this system is expounded by using the stability and qualitative theory of the ordinary difference equation,then the existence,the uniqueness and the global stability of the limit circle are proved,thus some former conclusions are extended.

利用微分方程稳定性和定性理论讨论该系统的正平衡点的全局稳定性问题，并得到了极限环的存在唯一性及其全局稳定性，推广了已有的一些结论。

The averaging method is used to analyze this model, the phase diagrams and the time history curve of this system are achieved, the results show that its movement converges to a limit circle oscillation. It demonstrates that the results obtained by the averaging method coincide with those by experiment well.

利用平均法对系统进行了近似求解，得到了系统的运动相图及时间历程曲线，结果表明系统运动收敛于稳定的极限环，所得结果与实验吻合得较好。

This paper applied an algebraic criterion to identify Hopf bifurcation for the six-dimensional red blood cell survival model, and analyzed stability of the generated limit circle by using projection method.

本文应用任意阶Hopf分岔代数判据对六阶红细胞存活模型的Hopf分岔点进行判定，同时利用投影法判断是否存在稳定极限环。

By the analysis of dive and horizontal plane nonlinear model, the catastrophe model on de dive plane is deduced, and catastrophe stability is analysized. In the horizontal plane, simplified equation is gained by center manifold theory, then draws the conclusion that the stability of limit circle arises from critical point is relate to small difference of move point and critical point.

通过对潜艇垂直面和水平面非线性运动模型进行分析，导出垂直面运动的突变控制模型，并进行了突变稳定性分析；在水平面运动的非线性分析中，通过中心流形定理简化方程，得出临界点处极限环的稳定性与微差占的符号有关的结论，这样在无法或很难得到李亚普诺夫函数的情况下，可以通过这种方法判别临界点的稳定性。

According to this conception the method of limit cycle suppression in the first-and second-order digital filters is found.

根据这一概念找到了一种抑制数字滤波器极限环的方法。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。