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In the present work,the existence and uniqueness results aboutperiodic boundary value problems for different kinds of the nonlin-ear periodically perturbed nonconservative systems are establishedthrough the discretization technique,under suitable assumptions,by using global inverse function theorem and result about the ex-istence and uniqueness of periodic solution for nonhomogeneouslyfirst order linear periodic boundary value problem.

本文的第一章概述了在讨论原问题解的存在唯一性过程中以及构造和分析相关的数值求解方法时将要用到的全局反函数定理、有关矩阵特征值的若干重要引理、线性常微分方程非齐次周期问题解的存在唯一性定理和单参数影射方法及有关结论,并简单回顾了已有的证明非线性微分方程周期边值问题解的存在唯一性的方法,其中包括谱理论、最大最小化形式方法、摄动技术和全局反函数理论方法,最后,介绍了两类数值求解非线性微分方程问题的方法。

For the purpose of saving energy and prolonging the lifetime of ad hoc network, this dissertation discuss the network lifetime in detail, and consider the lifetime and energy synthetically, provide a minimal energy cost maximal lifetime broadcast tree construction algorithm.

2针对移动Ad Hoc网络能量有效性问题,为了节省网络使用过程中的能量消耗,提高网络的生命周期,本文对网络的生命期问题,展开了详细的论述,同时又将生命期与能量消耗结合起来考虑,提出了一个最小能量最长生命周期广播树的构造算法。

Embarks from the monocycle stock model main consideration cost element, through the expectation loses smallest method and expectation profit biggest method realizes to the monocycle stock model in the stockout cost and the expired cost control,then determination best volume of order.

从单周期库存模型主要考虑的成本因素出发,通过期望损失最小法和期望利润最大法实现对单周期库存模型中缺货成本和过期成本的控制,从而确定最佳订货量。

According to some concepts on symbolic dynamics and properties of minimal nonchaos on Sturmian System, a kind of subshift is made and it is generated by a nonperiodic recurrent orbit and study its properties.

利用符号动力系统的相关概念和Sturmian系统的极小非Li-Yorke混沌属性,构造了一类由非周期回复点生成含有周期点的子转移系统,并研究了其性质。

Along with increment of mean photon number, there is no change in the oscillation period of the squeezing curve, but its scope increases obviously and its stability begins to reduce; when the mean photon number and the field mold structure fixed, the speed of moving atom has a great infection on the extent and period of the radiation squeeze. With the speed of moving atom increasing, not only the complete squeezing effect would be archived, the stability would also enhance.

随着平均光子数的增加,压缩曲线的振荡周期没有明显的变化,压缩曲线的振荡幅度明显增大,压缩的稳定性变小;在平均光子数和场模结构参数一定时,原子运动速度对光场压缩的深度以及压缩周期影响程度较大,增大原子运动速度,不但可以实现完全压缩光场,而且压缩的稳定性得到提高。

Studied periodic function and its least positive period.

研究了周期函数及其最小正周期的若干问题。

When the response is chaotic,by the wavelet transform,there is no any periodic signal,which is the fundamental difference from periodic motion.

如果系统响应是混沌的,通过小波变换,始终都得不到周期的信号,这一点明显区别于周期运动。

Compared with the traditional numerical method,the periodic orbit extracted by the analytic approach is more accurate,requires smaller memory size and is more applicable in real time systems;Furthermore,it is more suitable for stable analysis and control of the systems.

与传统的数值提取法相比,所提出的解析法具有提取的周期轨道精确度高、周期轨道信息的存储量小、便于实时应用、易于进行稳定性分析和控制等优点。

The detailed steady state process of OCC APF with both resistive load and nonlinear load is analyzed,based on which the physical meaning and steady condition of proportional part and integral part in PI controller are given.

在此基础上给出了 PI调节器中P和I环节的物理意义及其应满足的条件,发现可将其作用分开:I环节主导Um长期内较大的变动,用来反映负载大小的改变;P环节每个工频周期内对Um小范围调整,用来平衡每个工频周期内负载存在的谐波。

Through concretely analyzing the magnitude and error of deflection of the vertical, we can get the results that the long-period, smaller-range non-tidal variations are commonly less than the tidal ones, but the short-period, larger-range non-tidal variations are comparable to the tidal ones, especially in some areas they are even bigger than the tidal ones, this state can be measured by repeated gravimetry completely.

通过对垂线偏差量级和误差大小的具体分析,得出结论:一般长周期的、幅度较小的非潮汐变化要小于潮汐变化,但短周期的、幅度较大的非潮汐变化则可能与潮汐变化相当,个别地区甚至还会超过潮汐变化,这种情况完全可以用重复重力测量的方法检测到,这也说明重复测量的方法是可行的。

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