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Using the convex cone theory of nonlinear functional analysis, thesufficient condition is obtained in which the system has at least two non-trival w-periodicsolutions.

点定理讨论了n维非自治系统,给出了该系统存在两个非零周期解的充分条件。

This paper generalizes the result of topological linearization. The topological linearization of the system is discussed.

对非自治系统的拓扑线性化理论进行扩展,讨论了系统的线性化。

Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

课程的主题包括:非线性常微分方程组;二维自治系统;与课程相关的基本理论,如比卡迭代法,压缩映射定理,Bellman-Gronwall引理,平衡点稳定性分析的李雅普诺夫第一种方法和第二种方法,反馈的线性化;以及非线性电路和控制系统的实际应用。

The goal of a CSCW system is to enable users to cooperate conveniently no mater when and where While,currently,most CSCW users rely on existing network infrastructures Self organized Network is a multi hop temporary autonomous system of mobile nodes equipped with wireless transmitters and receivers without the aid of any current network infrastructure In such an environment,it may be necessary for one mobile node,in order to communicate another node,to need a chain of intermediate nodes to forward pac...

CSCW 系统目标是允许用户在任何地点,在任何时间可以方便地进行群体间的协同工作。目前大多数的CSCW 用户都需要依靠现有的网络基础设施。自组网是一组带有无线收发装置的移动节点组成的一个多跳的临时性的自治系统。在这种环境中,由于节点无线通信覆盖范围的有限性,需要借助其他中间节点进行分组转发到达信宿。它可以在没有可用的网络基础设施的情况下提供一种通信支撑环境,从而拓宽了CSCW 的应用环境。本文描述了自组网的概念和特点,并提出了自组网的体系结构。

A new simplified three-dimensional piecewise continuous autonomous system (a modified model of unified chaotic system) was introduced by replacing a quadratic nonlinear term in a unified chaotic system with a piecewise linear signum function.

通过用分段线性符号函数替换统一混沌系统中部分二次项,得到一个新分段连续的自治系统(称为统一混沌系统修改模型)。

The dissertation studies the phenomena and characteristics of self-excitation, deduces those phenomena belong to nonlinear non-conservative autonomous steady-state periodic movement.

本文分析研究了轧机主传动系统自激振动的现象和特点,得出轧机主传动系统的自激振动现象属于非线性非保守自治系统的稳态周期运动。

In the first section of the part three, the criteria for globally stable equilibrium in n-dimensional predator-prey model are obtained.

第三部分对生态问题的研究第一节利用二次型理论研究了一类n维环状自治系统有密度制约模型,得到了判别此类系统稳定平衡点的充分条件。

In Chapter Ⅲ, the global stability and global attractivity of some planar autonomous systems are dealed with.

第二章考虑平面自治系统同宿轨族的一些定性性态,证明了系统至多存在一个最大椭圆扇形,得到此系统的轨线趋于奇点及同宿轨族、闭轨族、双曲扇形和椭圆扇形的存在性与不存在性的充分或充要条件。

Firstly, sufficient conditions are given for permanence and global attractivity of the systems, and some results of Li Chuanrong and Lu Songjian on the periodic systems are generalized to general nonautonomous systems.

首先,我们给出了该系统持久和全局吸引的充分条件,把李传荣和卢松坚关于周期系统的有关工作推广到一般非自治系统;其次,改进了周期情形的有关结果。

Based on the assumption of the small perturbance,sufficient conditions of permanence for above systems are obtained by employing the known conclusions and Lyapunov function method.

在扰动适当小的假设下,应用有关脉冲自治系统的结论和Lyapunov 方法讨论该扰动系统的持续性问题,给出了该类系统持续生存的充分条件。

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