periodic perturbations meaning in English
周期摄动
Examples
- The dynamics of the satellite motion systems under the periodic perturbation
周期扰动下卫星运动系统的动力学性质 - [ 1 - 4 ] considered the almost periodic perturbation systems of the form , , by using the contraction mapping principle , some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution and bounded solution of these systems
文献[ 1 - 4 ]考虑了扰动系统, ,利用压缩映象原理,得到了上述系统存在唯一概周期解和有界解的一些充分条件。 - Then the behavior of the free joint when we bring the periodic perturbation through controlling the actuated joint is analysed , we can find in the result that the behavior of the free joint in the phase plane follows an ordered closed trajectory with the center equilibrium point + 2 in the case where the amplitude of the input is small , we can define a weakening factor to make the position of the free joint reach the center equilibrium point + 2
通过相平面分析的方法分析了当驱动臂施加周期扰动对非驱动臂运动的影响,其结论为通过调整驱动臂周期扰动的幅度及极性,可以使非驱动臂沿着围绕平衡点2的极限环轨迹运动。在此基础上,提出衰减因子的概念,通过衰减因子调整驱动臂扰动的幅度和周期,使非驱动臂能够稳定在平衡点2 。 - The thesis is composed of two chapters . in chapter 1 , we consider the almost periodic perturbation systems of the form by using the roughness theory of exponential dichotomies and the contraction mapping principle , some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution and bounded solution of the above systems . our results generalize those ones of [ 3 , 4 , 7 , 8 , 9 ]
第一章考虑了两类概周期扰动系统, ,利用指数型二分性的粗糙度理论和压缩映象原理,得到了上述系统存在唯一概周期解和有界解的一些充分条件,推广了[ 3 , 4 , 7 , 8 , 9 ]的结果。 - The tree of this paper is as follows : in chapter 2 , we study the uniformly asymptotic stability of the trivial solutions of a class of linear and nonlinear difference - differential equations with finite time - dependent delays . then , we deal with the existence , the uniqueness and the stability of periodic solutions and almost periodic solutions when the systems are under periodic perturbations and almost periodic perturbations
本文内容具体安排如下:第二章,我们首先研究一类具有限变时滞的线性及非线性差分微分方程系统的零解的一致渐近稳定性,然后讨论在周期扰动和概周期扰动下,相应系统的周期解和概周期解的存在唯一性及稳定性。