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periodic perturbations中文是什么意思

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  • The dynamics of the satellite motion systems under the periodic perturbation
    周期擾動下衛(wèi)星運動系統(tǒng)的動力學性質(zhì)
  • [ 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
    文獻[ 1 - 4 ]考慮了擾動系統(tǒng), ,利用壓縮映象原理,得到了上述系統(tǒng)存在唯一概周期解和有界解的一些充分條件。
  • 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
    通過相平面分析的方法分析了當驅(qū)動臂施加周期擾動對非驅(qū)動臂運動的影響,其結(jié)論為通過調(diào)整驅(qū)動臂周期擾動的幅度及極性,可以使非驅(qū)動臂沿著圍繞平衡點2的極限環(huán)軌跡運動。在此基礎(chǔ)上,提出衰減因子的概念,通過衰減因子調(diào)整驅(qū)動臂擾動的幅度和周期,使非驅(qū)動臂能夠穩(wěn)定在平衡點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 ]
    第一章考慮了兩類概周期擾動系統(tǒng), ,利用指數(shù)型二分性的粗糙度理論和壓縮映象原理,得到了上述系統(tǒng)存在唯一概周期解和有界解的一些充分條件,推廣了[ 3 , 4 , 7 , 8 , 9 ]的結(jié)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
    本文內(nèi)容具體安排如下:第二章,我們首先研究一類具有限變時滯的線性及非線性差分微分方程系統(tǒng)的零解的一致漸近穩(wěn)定性,然后討論在周期擾動和概周期擾動下,相應系統(tǒng)的周期解和概周期解的存在唯一性及穩(wěn)定性。
  • In this paper periodically perturbed hopf bifurcation to lienard equation with limited time delay is sdudied in detail . that is , the influence of small periodic perturbations on system exhibiting hopf bifurcation is sdudied . in particular , the excitation frequency and the critical natural frequency of hopf bifurcation in the cases of harmonic resonance . subharmonic resonance , ultraharmonic resonance , and ultrasubharmonic resonance is discussed . it is shown that in some parameter regions the sestyms exhibit harmonic solution bifurcation , subharmonic solution bifurcation , ultraharmonic solution bifurcation , ultrasubharmonic solution bifurcation and quasi - periodic solution
    本文詳細研究了具有限時滯li nard方程的周期擾動hopf分支,即在該系統(tǒng)經(jīng)歷hopf分支時,研究小周期擾動對系統(tǒng)的影響,特別是討論了擾動頻率與hopf分支周期解的固有頻率在共振、次調(diào)和共振、超調(diào)和共振、超次調(diào)和共振的情形。
  • By constructing suitable lyapunov functionals , we explore the uniformly asymptotic stability of a class of retarded functional differential equations with finite and infinite delays , via lyapunov second method , especially the delays here vary with time . moreover , we study the existence , the uniqueness and the stability of periodic solutions and almost periodic solutions of the corresponding systems with periodic perturbations arid almost periodic perturbations . more general and applicable results are derived , which improve and generalize the main results in [ 23 . 24 ]
    本文將運用lyapunov第二方法,通過構(gòu)造適當?shù)膌yapunov泛函來研究一類具有限變時滯與具無限時滯及變時滯的滯后型泛函微分方程的一致漸近穩(wěn)定性,并以此為基礎(chǔ)進一步來研究相應的周期擾動和概周期擾動系統(tǒng)的周期解和概周期解的存在唯一性及穩(wěn)定性,得到了更為一般和更易于應用的結(jié)果,推廣并改進了文獻[ 23 , 24 ]中已有的結(jié)果。
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