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- In this paper, the problem of limit cycle for a cubic system is studied. 摘要讨论三次系统(方程式略)的极限环问题。
- Using DF (Describing Function) in determining the limit cycle number of differential equation is a significant analysis try. 摘要将描述函数法用于确定微分方程极限环个数的问题是一个有意义的理论探索。
- It is proved the existence of local limit cycle when there exists critical points in every invariant cylinder. 当在每个不变柱面上有奇点时证明了这类系统局部极限环的存在性；
- A kind of microbe cultivated model is discussed to verify that the limit cycle is unique in a fixed parameter range. 摘要分析了一类细菌培养模型，证明了在一定参数范围内极限环是唯一的。
- It is the first time to obtain the real railway vehicle’s limit cycle curve and Hopf bifurcation point by roller rig test in the world. 论文还介绍了试验台自1995年启用以来，所完成的新型机车车辆大型试验情况，以此说明由于有科学、合理的设计技术路线，试验台的研制非常成功，在我国高速、重载机车车辆的研制过程中发挥了重要作用。
- It is found that the frequency creep caused by superradiance usually results in this kind of limit cycle like oscillations. 分析表明这种类极限环振荡主要起因于超辐射引起的频率蠕变。
- A model in biochemical reaction asis investigated and the conditions for the stability of the only positive equmilibrium point ,exis-tence of the limit cycle are obtained. 本文研究了一类生化反应模型：得到了唯一正平衡，点的稳定性和极限环的存在性条件。
- Instability shows itself frequently in the form of limit cycles. （非线性系统）的不稳定性通常表现为极限环的形式。
- CHEN Liu-juan,SUN Jian-hua.The uniqueness of a limit cycle for a class of Holling models with functional response [J].Acta Mathematica Sinica,2002,45(2):383-388. [3]陈柳娟;孙建华.;一类Holling功能性反应模型极限环的唯一类[J]
- LIU Fei,YANG Yiren.Bifurcations of 2-multiple semistable limit cycle of airfoils with cubic nonlinearity[J].Journal of Southwest Jiaotong University.2004,39 (5):638-640. [6]刘菲;杨翊仁.;立方非线性机翼的二重半稳定极限环分叉[J]
- The article shows sufficient condition of the existence of limit cycle of a nonlinear kinetic model in isothermal branched-chain or autocatalysic chemical reaction in the CSTR. 本文给出了CSTR反应器中简单的分枝链式或自动催化反应的非线性动力学模型极限环存在的充分条件。
- In order to obtain the algebraic equation of a limit cycle, the following equations are available:F(x, x) = F(x, x) F(x, x) = -F(-x, x) we may use the algebraic equation of limit cycle to check the accuracy of approximate numerical computation. 为了便于求出极限环的代数方程,下列两式是很有用的。 F(x,x)=F(x,-x) F(x,x)=-F(-x,x)我们可将所求得的极限环的代数方程去校核近似数值计算的精确程度。
- In this paper, we prove that the real quadratic system with one real straight line solution and two conjugate complex straight lin solutions is integrable system, so it do not has any limit cycle. 本文证明了具有一条实积分直线和一对共轭复积分直线的实二次系统都是可积系统;因而不可能存在极限环.
- In the second chapter, we consider a kind of Kolmogorov system.The sufficient conditions of nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained. 第二章讨论了一类Kolmogorov系统，得到了系统无闭轨的充分条件和存在唯一稳定极限环的条件，推广了颜向平，张存华等的结果。
- Often times, especially when simultaneous action is not used, plasticizing capacity is the bottle neck that limits cycle time from getting shorter. 很多时候，尤其是没有塑化并行的设计时，塑化能力是个瓶颈，限制了周期时间不能缩短。
- Distribution of limit cycles for a class of higher-degree degenerate planar polynomial systems of codimension two is discussed. 摘要讨论了一类余维2的高次退化平面多项式系统的极限环分布，证明了此系统至多存在3个极限环。
- The pedal of a cycle is attached to a crank. 自行车的踏板与曲柄相连。
- In this paper, the bifurcation of limit cycles for a quartic polynomial system is investigated. 摘要研究一类四次系统的极限环分枝问题。
- Then by using Poincare-Bendixson theorem sufficient conditions for the existence of limit cycles are obtained. 在此基础上，利用微分方程的环域定理获得了所述系统存在极限环的条件。
- Lu Zhengyi, Luo Yong, Two limit cycles in three dimensional Lotka-Volterra systems.Computer Math. 陆征一(译);动力系统的稳定性;四川科学技术出版社;2003.
