查询词典 limit cycle

When the value of critical threshold larger than 1, the disease and insect pests equilibrium point is locally asymptotically stable An appropriate Dulac function should be choosed and Bendixson-Dulac creterion is used to prove that the limit cycle in this model does not exist. It explains that the disease and insect pests equilibrium point is globally asymptotically stable.

选取适当的Dulac函数，利用Bendixson-Dulac判别法证明了极限环的不存在性，说明局部渐近稳定的病虫害平衡点也全局渐近稳定。

By applying Bendixson-Dulac theroem, we show that the system admits no limit cycle in the first quadrant, thus the global stability of the interior equilibrium is followed.

首先通过运用Bendixson-Dulac定理证明了系统在第一象限没有极限环，从而证明了正平衡点的全局稳定性。

Diffusion problem of a predator-prey model with Holling typeⅡfunctional capturing function is studied. Stability condition is obtained when diffusion is absent, and the effect on stability of positive equilibrium is studied when diffusion is present. In the end, the problem of existence of limit cycle is proved in the first quadrant when diffusion is absent.

针对一类具有HollingⅡ型功能捕获函数的捕食－食饵模型的扩散问题进行了研究，得到了无扩散时正平衡点的稳定条件，以及扩散存在时对正平衡点稳定性产生的影响，最后证明了无扩散时系统在第一象限存在极限环的问题。

Predator-prey models ; Functional response ; Constant rate stocking ; Limit cycle

1模型与平衡点分析考虑捕食者无密度制约，食饵具有非线性功能反应函数

We obtain that:the system has no limit cycle around o(0,0) with the time when o(0,0) is two order of fine focus.we also get some conclusions of inexistence.

得到o(0，0)为二阶细焦点时系统不存在极限环；并且得到了系统不存在极限环的一些条件。

In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifenunique theorem.

第二章讨论了一类Kolmogorov系统，利用发散量积分、环域定理和张芷芬唯一性定理，得到了该系统无闭轨的充分条件和存在唯一极限环的条件。

In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifen\'unique theorem.

第二章讨论了一类Kolmogorov系统，利用发散量积分、环域定理和张芷芬唯一性定理，得到了该系统无闭轨的充分条件和存在唯一极限环的条件。

The Langford system, which is the same as the Chen and Chua\'s system in being 3D system but different from them in amplitude control application, can be controlled in amplitude of limit cycle directly and effectively and the control gains can be optimized conveniently.

不同于对Chen系统和Chua系统的幅值控制，对于同样是三维的Langford系统，其极限环的幅值控制更加直接而有效，便于实现控制增益的优化设计，而且，对于给定的幅值控制目标，可直接针对原系统进行控制器设计。

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。

Appearance of chaotic motion of electrons is earlier than one of limit cycle and chaotic oscillation of the field.

电子混沌比场的极限环和混沌振荡出现要早。

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。