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The stability of system equilibrium point and the existence condition of 3-D Hopf bifurcation as well as the stability of hence generated periodic solution were analyzed,so that the existence of limit cycles on the two-dimensional stable manifold of one microbial species and its nutrition was verified when other one had the disadvantage in the competiti.

研究当营养消耗率1δ=1δ为一般的非减连续函数和2δ=常数的三维Chemostat模型,分析系统平衡点的稳定性,三维系统经历Hopf分支的条件和由此产生的周期解的稳定性,证明系统中某一微生物物种处于竞争劣势而趋于灭绝时另一微生物物种和营养的二维稳定流形上极限环的存在性。

In this thesis, using the qualitative theory and stability theory of ordinary differential equation, we study the global stability of equilibrium, existence and uniqueness of limit cycle for a predator-prey model with sublinear functional response function.

本学位论文利用常微分方程定性理论和李亚普诺夫稳定性理论的基本方法,研究了具次线性功能性反应函数的食饵-捕食者模型的平衡点的全局稳定性,极限环的存在性和惟一性。

The purpose of chapter 4 is to study a predator-prey model with sublinear functional response function and sublinear density control function. Some results dealing with stability of equilibrium, nonexistence , existence as well as uniqueness of the limit cycle around the positive equilibrium of the model are obtained.

第4章分析了一类食饵的相对增长率和功能反应函数均为次线性函数的食饵-捕食者模型,通过分析,得到了该系统的正平衡点全局稳定和存在惟一极限环的充分条件。

In the last chapter, we consider a predator-prey model with sublinear functional response function, sublinear density control function and constant stocking rate. The properties of equilibrium, existence and uniqueness of the limit cycle around the positive equilibrium investigated.

第5章讨论一类食饵具常数存放率的功能性反应模型,研究了模型的平衡点的性态,系统的全局稳定性,极限环的存在性和唯一性,获得了一系列较为完整的结论。

Bifurcation and choas of the zigzag sampled phase detect frequency synthesizer;2. When incidence coefficient is afunction of the time,the parameter rogions in which the models appear choas behavior are given.

该文研究了Lin Weimin等人给出的一类具有非线性传染力的SIRS模型,证明了在某些参数区域内极限环的存在性和唯一性,以及在传染系数与时间有关时,模型存在混沌性态的参数区域。

Results The elastic limit and the relevant enclasp force of the casting clasp made from the l 8-8 nickel-chromium alloy were smallest and those of the clasps made from the cobalt-chromium alloys in various brands were different.

结果 不同品牌的钴铬合金铸造卡环弹性极限及其相应卡抱力不同,18 8镍铬不锈钢铸造卡环的弹性极限及其相应卡抱力最低。

Under the conditions that the concrete expression of its singularities are not sloved,we discuss the bounded property of trajectories, separatrix configuration,nonexistence and existence of limit cycle.

对一类多分子反应模型x=1-αx-xpyq,y=βy(xpyq-1-1)进行定性分析,在第一象限奇点无法具体求出的条件下,讨论了轨线的有界性,分界线的位置关系以及极限环的存在性和不存在

This is a first time that the problem of limit cycles bifurcating from a degenerate singular point and from infinity under the synchronous perturbed conditions is investigated.

得到了三次、五次、七次系统分别可以在无穷远点分支出7个、8个、9个大振幅极限环的结论,这几个结果是目前最好的。

For the case of the Yankee-BWR, the dynamics at the equilibrium point such as natural frequency, damping ratio and time constant can be identified with the noise data.

对Yankee-BWR的噪声数据,辨识出系统平衡点处的自然频率、阻尼比和时间常数等动态特性;并通过对状态方程的分析,得出其二次系统中的极限环的数学表示。

We can change nonlinear 2-D digital system into a linear system set with varying parameters by vector method.

定理2是用于检验多个非线性的2-D数字系统的极限环判断。定理1所获结果与Fahmy[4]的结果一致。

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I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援,我们正徵召国家所有各种的力量:我们的外交及发展,我们的经济力量与道德劝说,所以你们与其他军人不须要孤独地负起国家安全的责任。

Imagine yourself to be an actor in a play on the stage.

设想你自己是一个演员在舞台上表演。