极限环

给出了其极限环存在性、唯一性以及稳定性的证明。

It is not satisfied general condition for existence of a stable limit cycle .

并得到下列结果：（1）当ac≥b~（1/2）时，系统（）在第一象限内无极限环；

( I ) When , there exists no limit cycle of the system () ;

二阶n次多项式自治系统的极限环的唯一性

Uniqueness of Limit Cycles of the Second Order Polynomial Autonomous System

一类有界E3~1系统的极限环

Limit Cycles of Some Bounded E_3 ~ 1 System

PWM开关变换器的极限环与状态空间平均法

Limit cycles in PWM switching power converters and state space averaging

当α≥ac时，系统不存在极限环，全局稳定。

When α≥ ac , the system has no limit ring and the whole is stable .

Liénard方程半稳定极限环的计算

Calculation of Semi Stable Limit Cycles of Li é nard Equation

耦合的vanderpol振子的极限环幅值控制

Amplitude control of limit cycle of coupled van der Pol oscillator

一类二次Hamilton系统在二次扰动下的极限环

Limit cycle of Hamilton system under quadratic perturbation

vanderpol系统极限环幅值的时滞控制

Amplitude control of limit cycle in van der Pol system with time delays

一类SIRS流行病模型可至少存在两个极限环

An SIRS Epidemiological Model Has at Least Two Limit Cycles

捕食者厌食的Predator-prey系统极限环存在性与唯一性

Existence and uniqueness of limit cycle in anorexia predator-prey system

关于具有交变阻尼的Liénard方程存在多个极限环的条件

Conditions of existence of the limit cycles of li (?) nard equations with alternate damping

通过计算F（0，）的根的个数从而可知具有等时中心二次扰动系统极限环的个数。

By calculating the number of F , 0 s roots , obtains the number of certain second disturbance systan ′ s limit cycles .

具有二个奇点的vanderpol型方程的极限环

The Limit Cycle of Equation for Van der pol Form That Has Two Strange Points

文[1]建立了一类生化反应方程E（α，β），该文借助于计算机作了极限环的一些数值计算。

In the paper [ 1 ] , a equation E α,β of biochemical reaction was established and some numeral computations for the limit cycles were obtained .

广义Volterra方程的极限环

Limit cycle of a generalized Volterra equation

从Hopf分岔到极限环

From Hopf bifurcation to limit cycle

Liénard系统解的有界性、全局吸引性及极限环的存在性

On Boundedness , Global Attractivity of Solutions and Existence of Limit Cycle of Li é nard Systems

一类Kolmogorov模型极限环的存在性

The existence of limit cycle for a kind of Kolmogorov model

三种群Lotka-Volterra捕食系统多个极限环的存在性

A Three Species Lotka-Volterra Prey-Predator System with Multiple Limit Cycles

本文讨论了原点是星形结点的一类平面n次系统的极限环的存在性和唯一性，并给出一类平面三次系统的极限环分支曲线。

The purpose of this paper is to discuss the existence and uniqueness of limit cycles for a class of plane n degree system with the origin being a stellar node .

赤道东太平洋海气耦合振荡的非线性分析及ENSO循环的极限环理论

Nonlinear Analysis of Equatorial Eastern Pacific Air-Sea Coupling Oscillation and a Limit-Cycle Theory for ENSO Cycle

并分析了自调整PID模糊控制器的结构和原理，这种控制器同PID控制器相比较，既可以消除极限环振荡，又可以消除系统余差的优点。

Compared with the PID controller , the self_modifying PID fuzzy controller has two merits : avoidance of the limit circle oscillation and elimination of the system residual error .

具有三次曲线解的Kolmogorov三次系统的极限环

Limit Cycles for the Kolmogorov Cubic System with a Class of Cubic Solutions

一类Kolmogorov系统的极限环存在与唯一性

Existence and Uniqueness of the Limit Cycle in a Class of Kolmogorov 's System

当车速到达70.50km/h，系数又发生了超临界Hopf分岔，极限环消失。

When the speed comes to 70.50 km / h , supercritical Hopf bifurcation occurs again and limit cycle disappears .

再次，利用Hopf分支理论讨论系统在奇点邻域内当参数发生微小变动时对系统极限环存在性的影响。

Thirdly , using Hopf bifurcation theory to discuss the existence of limit cycle when small changes in the parameter .

陀螺漂移测试转台直流力矩电机系统中存在的非线性滞滑摩擦，使转台在PID控制下存在滞滑极限环。

Due to the nonlinear stick-slip friction in the DC torque motor system of turntable , a steady state stick-slip limit cycle is caused when a PID control law was applied to the turntable .

对于极限环，一个主周期内Ai，Bi（i＝1，2）的极大值出现次数有成简单比例现象。

With respect to the limit cycle , the number of times for the maxima of Ai and Bi to appear in a main period is in simple proportion .