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- 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。
- 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。
- 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.
- In this article, the center conditions, isochronous center conditions and bifurcation of limit cycles at infinity for a class of fifth system are investigated. 摘要研究一类五次系统无穷远点的中心、拟等时中心条件与极限环分支问题。
- As far as the number of limit cycles bifurcated from 3 fine focal points of quartic system is concerned, the result is good. 就三个不同细焦点分枝出极限环的结论来说，该结果是好的。
- Xianfeng Chen and Zhizhen Qian, Uniqueness of limit cycles of some high degree polynomial systems, Journal of Shanghai JiaoTong University, Supp. I (1998), 16--20 (in Chinese). 陈贤峰，一类带高次自反馈非线性控制系统的镇定性，上海交大学报;(7)35(2001);1097--1099.
- The algorithm revises the reinforcement signal and improves the exploration policy to overcome the negative effect of limit cycles in the inverted pendulum system. 算法采用修正强化信号和改进探索策略的方法克服极限环对倒立摆系统的影响。
- In the fifth section, we obtain some sufficient conditions under which a class of a planar quintic system has at most two limit cycles by transforming it into Abel equation. 第五章讨论了一类可化为Abel方程的五次多项式系统的极限环的个数，得到此类平面五次多项式系统至多存在两个极限环的充分条件。
- For monomial dynamical systems, that is, a system that can be described by monomials, information about the limit cycles can be obtained from the monomials themselves. 小至声波的传递让自然的万物得以简单的传递讯息，大致剧烈的地壳能量释放造成的地震摧毁生物赖以维生的环境。
- To efficiently remove the limit cycles in dark region of an error-diffused halftone image, an inverse halftoning algorithm based on human visual system is proposed. 摘要针对误差分散半调图在黑灰区域的“有界循环”现象，提出了一种基于人眼视觉系统的逆半调算法。
- In this article,the center conditions,isochronous center conditions and bifurcation of limit cycles at infinity for a class of fifth system are investigated. 研究一类五次系统无穷远点的中心、拟等时中心条件与极限环分支问题。
- In this thesis, the limit cycles bifurcated from some kinds of polynomial systems are investigated using the methods of bifurcation theory and qualitative analysis. 本文利用分支理论和定性分析的方法，借助于计算机等辅助工具对几类多项式系统的极限环分支问题进行了研究。
- 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。
- An exploited predatory-prey system is discussed.The conclusions about nonexistence,existence and uniqueness of limit cycles are obtained by using qualitative and bifurcation methods.The significance of the conclusions are interpreted at the same time. 讨论了一类食饵种群被开发的两种群捕食系统.;运用定性分析和分支方法给出了该系统极限环的不存在性、存在性和惟一性等结论;并对相应的生态学意义作了说明
- In this paper we analysis the system:and obtain the boundedness of its positive semi -- trajectory with positive initial values. Thecondition for the existence of limit cycles are obtained. 该文对一类饱和两分子反应模型进行了定性分析，得到了正初值的正半轨线的有界性和极限环存在的条件。
- High nonlinearity existing in most chemical processes could result in complicated dynamic behavior, including multiple steady states, limit cycles, period doubling, torus and chaos. 中文摘要化工程序由于存在高度非线性，导致其经常出现复杂的动态行为，包括多重恒态、周期震荡、周期倍增、圆环面或甚至达到混沌状态。
- 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；
