查询词典 Liapunov function

The first part presents develops of predator-prey systems and gives the model that is investigated in our paper; Chapter 2 presents the results on boundedness of solutions and permanence of system; In chapter 3, we explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method; The local stability and the conditions that Hopf bifurcation occurs are obtained in chapter 4; In chapter 5, some explicit fomulae of the direction of Hopf bifurcation and the stability of bifurcating periodic solutions on the center manifold are determined,using normal form and center manifold introduced by Hassard et al; In chapter 6, some numerical simulations are performed to illustrate the analytical results found; Our paper ends with a brief conclusion.

全文共分七章，第1章对捕食-食饵系统的发展背景做了介绍并给出了本文研究的模型；第2章讨论了系统的保持性和解的有界性；第3章研究正平衡点的全局性质，对正平衡点的吸引域进行了精确估计；第4章研究了系统的正平衡点的局部稳定性和Hopf分支存在的条件；第5章利用规范型和中心流形定理得到了一个决定Hopf分支方向、分支周期解的稳定性及其他性质的精确公式；第6章对一个具体模型进行了数值模拟；第7章对全文进行了总结。

And Liapunov's direct method is used in the analysis of the stability of each relative equilibrium state.

应用Liapunov直接法判断各相对平衡状态的稳定性。

Furthermore the existence theorem of periodic solutions was obtained by using Liapunov center theorem, and an example was presented to illustrate the results.

利用Liapunov中心定理，进一步得到了周期解的存在性定理，并举例说明结果的应用。

Using Mawhin s theroy and Liapunov funtional we discuss the existence and global weak attractivity of periodic solutions for a class of functional differential equation.

利用Mawhin的迭合度理论和Liapunov泛函，讨论了一类泛函微分方程的周期解的存在性和全局弱吸引性。

Based on the dynamic materials model theories,hyperbolic sine equation and two Liapunov stability criteria,the processing maps of T122 heat resistant steel were constructed using the data obtained from isothermal hot compress test s by means of a Gleeble 3 500 simulator.

结果表明：T122钢在1085℃以上、应变速率小于0.37s-1压缩变形时，功率耗散效率达到峰值0.2，此时发生了完全动态再结晶；对于工业热加工，建议在变形温度为1085~1150℃和应变速率大于0.13s-1的范围内选择加工参数

Furthermore,conditions for the uniform persistence of disease and conditions for global stability of the disease-free equi- librium and the endemic equilibrium are obtained by Liapunov method and by analyzing the property of flow on the boundary,respectively.

进一步讨论了疾病持续存在与无病平衡点和地方病平衡点全局稳定的条件。

In this paper , we have turned the fourth - dimension linear system with contant coefficient into the different equivalence systems and figured out the Liapunov\'s functions .

本文将四阶常系数线性系统化成不同的等价系统，计算出它们的李雅普诺夫函数。

Judging the stability and condition of b alanced offtake by using the second theory of Liapunov will be of very importanc e for researching of injection-production system and development of production.

结果表明，在开发过程中利用Liapunov第二方法判定注采平衡的稳定性及确保注采平衡的条件，对发展注采系统控制理论的研究和指导油田实际注水开发生产具有重要的理论和实际意义。

For the some classes of neural networks with time delays, by constructing proper vector Liapunov functions and nonlinear integro-differential inequalities involving both variable delays and unbounded delay, using matrix theory, sufficient conditions for absolute exponential stability are obtained.

对于几类具有变时间滞后和无穷时滞的人工神经网络，利用矢量Liapunov函数法，得到了的神经网络平衡点指数稳定的充分条件。

In the final Chapter,we consider a system with cross-diffusion effects〓By using Liapunov-Schmidt method,the existence and stability of nontrivial sta-tionary bifurcation solutions from the trivial solution and the semitrivial stationarysolutions are studied.

在最后一章中，我们考虑一类含交叉扩散效应的方程〓3利用Liapunov-Schmidt分歧方法，我们研究了发自平凡定态解和半平凡定态解的非平凡定态分歧解的存在性和稳定性。

Metrorrhagia is also gynaecological problems of common diseases.

崩漏是妇科常见病也是疑难症。

WordFTP gives you the convenience and timesaving you need.

wordftp让您的方便和省时您所需要的。