It is proved that, when the value of critical threshold less than 1, the disease free equilibrium point is globally asymptotically stable. Further more, Bursaphelenchtis Xylophilus is used to construct the Lyapunov function, and the stability theory of Lyapunov function is used to prove that the equilibrium point is Global asymptotic stable. It explains that the Bursaphelenchus Xylophilus wiil eventually disappear.

證明了當(dāng)臨界閾值小于1時(shí)欧美国产精品日韩在线，無病平衡點(diǎn)是局部漸近穩(wěn)定的好吊操97在线视频，進(jìn)一步利用巴爾巴欣公式構(gòu)造Lyapunov函數(shù)强奸毛片一级，運(yùn)用Lyapunov穩(wěn)定性理論證明了該平衡點(diǎn)的全局漸近穩(wěn)定性欧美三级网站，說明松材線蟲病會最終消失；當(dāng)臨界閾值大于1時(shí)国产在线精品一区二区中文，病蟲害平衡點(diǎn)是局部漸近穩(wěn)定的三级片毛片AV网站。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通過在系統(tǒng)唯一的正平衡解處線性化系統(tǒng)和分析相應(yīng)的特征方程，發(fā)現(xiàn)在時(shí)滯等于零時(shí)該正平衡解是漸近穩(wěn)定的国产A片免费高清2018，當(dāng)時(shí)滯逐漸增大到某個(gè)臨界值時(shí)該正平衡解將失去穩(wěn)定性而且在該平衡解處分支出空間非齊次的周期解欧美精品可乐视频。

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.

選取適當(dāng)?shù)腄ulac函數(shù)，利用Bendixson-Dulac判別法證明了極限環(huán)的不存在性国产黄片免费在线播放，說明局部漸近穩(wěn)定的病蟲害平衡點(diǎn)也全局漸近穩(wěn)定欧美三级A片视频。

In this method, an interim variable is defined by combining one variable of each subsystem. The interim variable is used to construct the sliding-mode function and the total control law can be derived to guarantee the equilibrium point is reachable in finite time. Using LaSalle invariance theorem, it can be proved further that the equilibrium field only includes one equilibrium point and the equilibrium point is asymptotically stable.

該方法將各個(gè)子系統(tǒng)的一個(gè)變量進(jìn)行組合定義成一個(gè)中間變量，然后從這個(gè)中間變量出發(fā)構(gòu)造滑模函數(shù)欧美性爱亚洲日韩，通過求取總的控制量保證中間變量在有限時(shí)間內(nèi)收斂到平衡點(diǎn)午夜激情毛片在线播放；進(jìn)一步利用LaSalle不變性原理證明該收斂域內(nèi)只有一個(gè)平衡點(diǎn)且是漸近穩(wěn)定的。

By applying game theory and contraction mapping theorem, a sufficient condition for the existence and uniqueness of Nash equilibrium in a multi-person non-cooperative game is proposed. Another implication in the sense of game theory is presented for the stability condition of supply-demand equilibrium in traditional economic theory. It can demonstrate the stability condition for supply-demand equilibrium in economic theory. So the stable supply-demand equilibrium of cobweb model in economics is in fact equivalent to the Nash equilibrium in game theory. That is a brand-new explanation for the conclusion in traditional economic theory.

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In the range ab, the equilibrium is neither stable nor un stable , that is why it is called neutral equilibrium

在ab范圍內(nèi)国产黄色网站A，這個(gè)平衡既不是穩(wěn)定平衡也不是不穩(wěn)定平衡欧洲自拍，這就是為什么叫做隨遇平衡的原因。

The shaker mount is first moved a small distance toward the arch ends to ensure that the arch possesses two stable equilibrium positions, one on each side of the base line. The spring connecting the arch end and the mechanical shaker is carefully chosen such that small shaker stroke can induce large vibration amplitude of the arch.

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L4 and L5, on the other hand, are bowl-shaped valleys in which a body displaced in any direction returns to the center and are therefore known as points of stable equilibrium.

L4和L5 ，另一方面美女污视频免费在线观看，像一碗形峽谷强奸在线第一页，位于上面的物體不論受到哪個(gè)方向的力，都會被拉回到原處亚洲精品国产专区91在线。因此被干爽死黄色视频，這些點(diǎn)被稱為穩(wěn)定平衡點(diǎn)。

The value of TEF shows the relative position of the point at the moment compared with the stable equilibrium one during power system dynamic process and therefore can be used as the assessment of TCSC stability control.

暫態(tài)能量函數(shù)法是源于Lyapunov穩(wěn)定理論的直接法国产性交一级，它用系統(tǒng)的狀態(tài)變量描述了故障時(shí)及故障后不同時(shí)刻系統(tǒng)的暫態(tài)能量怎么免费查找黄色网站网址，其值體現(xiàn)了某一時(shí)刻系統(tǒng)與事故后穩(wěn)定狀態(tài)之間的偏離度，可以作為TCSC穩(wěn)定控制的指標(biāo)美女男人久久网站。

When the modified system collapses to a stable equilibrium or periodic oscillation, the existence of generalized synchronization can be converted to the problem of compression fixed point under certain conditions. Strict theoretical proofs are given to the exponential attractive property of generalized synchronization manifold.

即在響應(yīng)系統(tǒng)的修正方程在具有漸近穩(wěn)定平衡點(diǎn)或漸近穩(wěn)定周期軌道的情況下久久三区，滿足一定的條件，可將廣義同步化流形存在性問題轉(zhuǎn)化為Lipschitz函數(shù)族的壓縮不動點(diǎn)問題在线激情A片，理論上嚴(yán)格證明了該廣義同步化流形的指數(shù)吸引性欧美A片黄片视频。