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半稳定     
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  semi stable
     Calculation of Semi Stable Limit Cycles of Liénard Equation
     Liénard方程半稳定极限环的计算
短句来源
     The results generalize Theorem 5.4.2, 5.6.2 in (1) and can be used to characterize the generalized semistable law, while the conditions turn out to be r edundent.
     该结果推广了[1]中定理5.4.2,5.6.2,并应用于刻划更一般的半稳定分布律,条件大大简化.
短句来源
     GLOBAL SEMISTABLE SYSTEMS ON A PLANE
     平面上全局半稳定系统
短句来源
     This paper deal with global semistability for generalized Lienard planar systemsome sufficient and necessary conditions are estabished to ensure that the system (E) isglobally semistable.
     该文研究了广义Lienard系统的全局半稳定,获得了系统(E)为全局半稳定系统的充要条件.
短句来源
     The semi stable limit cycles and bifurcations of Liénard equation are studied by the perturbation incremental method. Firstly,a perturbation method is used to obtain an initial solution for the case λ≈0 by using a nonlinear time transform and rewriting the differential equation as an integral aqelation. Secondly, because the new solution scheme is based on an incremental approach, the parameter λ can take arbitrary values.
     应用摄动-增量法研究Liénard半稳定极限环及其分叉值的计算:首先用非线性时间变换法把微分方程化为积分方程,然后用摄动法求出λ≈0时的初始解,最后用增量法求出参数λ任意给定时的新解.实例表明此种方法是有效的.
短句来源
更多       
  semi-stability
     In this paper, we obtain the all bifurcations of Eα,β(a≥0,β≥0) including the higher order singular piont bifurcations, Hopf bifurcations, ho-moclinic orbit bifurcations and semi-stability limit cycles bifurcations.
     本文弄清楚了E_(α,β)(α≥0,β>0)的各种分枝,包括高阶奇点分枝,各阶Hopf分枝,同宿轨道分枝,半稳定环分枝。
短句来源
     The semi-stability limit cycles bifurcation is unique if the system has at most two limit cycles (see Theorem A).
     如果还假定至多只有2个极限环,刚半稳定环分枝还是唯一的(详见定理A)。
短句来源
     The theory of the global semi-stability is summarized, and the conditions of its being the global semi-stability are put forward in this paper.
     研究了两类高次多项式系统的全局半稳定性,给出了其为全局半稳定系统的条件.
短句来源
  semi-stable
     On operator semi-stable distributions on R~N
     有关R~N上的算子半稳定分布
短句来源
     This paper presents some sufficient and necessary or sufficient conditions for globally semi-stable,globally positive affractor or weakly globally attractor of the Liénard's system.
     对Liénard系统的全局半稳定、全局吸引子和全局弱吸引子给出若干充要条件和充分条件。
短句来源
     The concept of operator semi-stable distributions on R N was introduced by Jajte, and an important fact was proved: a full distribution μ is operator semi-stable if and only if there exist a number c(0
     JAJTE于1977年提出了算子半稳定分布的概念,并给出了满的算子半稳定分布μ的刻画:存在c(0
短句来源
     It is interesting to nate that in cartain cases when |d|increases from zero to|m|, a semi-stable cycle suddently appears in the neighbourhood of R', and then breaks into (at least) two cycles, in which one is stable and the other is unstable.
     同时,我們发現了在某些情形,当|d|由零增加至|m|时,在奇点R′附近会突然跳出一个半稳定坏,然后分裂为至少一个稳定环和一个不稳定环。
短句来源
     The notion of upper semi-stable functions on dI-domains is introduced, and its characterizations are investigated.
     针对不确定程序,本文引入了dI-domain上半稳定映射概念,给出了其等价刻画.
短句来源
更多       
  semistable
     Calculation of Semi Stable Limit Cycles of Liénard Equation
     Liénard方程半稳定极限环的计算
短句来源
     The results generalize Theorem 5.4.2, 5.6.2 in (1) and can be used to characterize the generalized semistable law, while the conditions turn out to be r edundent.
     该结果推广了[1]中定理5.4.2,5.6.2,并应用于刻划更一般的半稳定分布律,条件大大简化.
短句来源
     GLOBAL SEMISTABLE SYSTEMS ON A PLANE
     平面上全局半稳定系统
短句来源
     This paper deal with global semistability for generalized Lienard planar systemsome sufficient and necessary conditions are estabished to ensure that the system (E) isglobally semistable.
     该文研究了广义Lienard系统的全局半稳定,获得了系统(E)为全局半稳定系统的充要条件.
短句来源
     The semi stable limit cycles and bifurcations of Liénard equation are studied by the perturbation incremental method. Firstly,a perturbation method is used to obtain an initial solution for the case λ≈0 by using a nonlinear time transform and rewriting the differential equation as an integral aqelation. Secondly, because the new solution scheme is based on an incremental approach, the parameter λ can take arbitrary values.
     应用摄动-增量法研究Liénard半稳定极限环及其分叉值的计算:首先用非线性时间变换法把微分方程化为积分方程,然后用摄动法求出λ≈0时的初始解,最后用增量法求出参数λ任意给定时的新解.实例表明此种方法是有效的.
短句来源
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      semi stable
    Moduli spaces of (semi)stable vector bundles on tree-like curves
          
    The automorphism group of the moduli space of semi stable vector bundles
          
    Relation with bivariate semi stable distribution is established.
          
    The reaming orbital configurations were semi stable over the time scale investigated.
          
      semi-stability
    We study the characterization of noncommutative semi-stability through free cumulant transform and develop the free semi-stability and domain of semi-stable attraction in free probability theory.
          
    Semi-stability of reductive group schemes over curves
          
    We also show that a major open problem in approximation theory may be formulated in terms of a cohomology vanishing on P2 and we discuss a possible connection between semi-stability and the conjectured answer to this open problem.
          
    The purpose of this paper is to introduce and study the concepts of discrete semi-stability and geometric semi-stability for distributions with support inZ+.
          
    Properties of discrete geometric semi-stable distributions are deduced from the results obtained for discrete semi-stability.
          
    更多          
      semi-stable
    The EPR spectrum of the semi-stable free radicals TEMPOL, ABTS?+ or DPPH is gradually eliminated during irradiation, and this system represents a simple technique for the evaluation of TiO2 activity.
          
    The existence of semi-stable periodic orbits is proved.
          
    Generalized Chow Forms and Reduction of Semi-Stable Varieties
          
    Log Structures on Generalized Semi-Stable Varieties
          
    We construct the obstruction such that the so-called semi-stable log structures exists if and only if the obstruction vanishes.
          
    更多          
      semistable
    We consider actions of compact real Lie GroupsK on complex spacesX such that the associated reducedK-space admits a semistable quotient, e.g.X is a Stein space.
          
    Semistable principal bundles-II (positive characteristics)
          
    In this paper, we will formulate a general (parameter dependent) semistability concept for such triples, which generalizes the classical Hilbert--Mumford criterion, and we establish the existence of moduli spaces for the semistable objects.
          
    On the structure of rigid semistable sheaves on algebraic surfaces
          
    We prove that for any rigid sheafF (Ext1 (F, F) = 0) that is Mumford-Takemoto semistable with respect toH there exists an exceptional set (E1,..., En) of sheaves onS such thatF can be constructed from {Ei} by means of a finite sequence of extensions.
          
    更多          


    In this paper we invesigate the relative position of limit cycles of the system dx/dt=-y-y~2+mxy+dx,dy/dt=x(1+ax)(1)where α<0 and dm≠0. It is already known, that(1) can have limit cycles only when dm>0 and|d|<|m|. System (1)has four elementary critical points: O(0,0), M(0,-1), N'(-1/a,y_1'), R'(-a,y_2'), (y_1'>y_2'), where O and R' have index +1, M and N' have index -1. The main result in § 1 is the following: Theorem: (ⅰ)In case m>-a>0 and d>0 sufficiently small system, (1) has just two limit cycles, appearing...

    In this paper we invesigate the relative position of limit cycles of the system dx/dt=-y-y~2+mxy+dx,dy/dt=x(1+ax)(1)where α<0 and dm≠0. It is already known, that(1) can have limit cycles only when dm>0 and|d|<|m|. System (1)has four elementary critical points: O(0,0), M(0,-1), N'(-1/a,y_1'), R'(-a,y_2'), (y_1'>y_2'), where O and R' have index +1, M and N' have index -1. The main result in § 1 is the following: Theorem: (ⅰ)In case m>-a>0 and d>0 sufficiently small system, (1) has just two limit cycles, appearing separately in the neigh bourhood of 0 and R'. (ⅱ) In case-a>m>0, when d increases from zero, limit cycles appear first in the neighbourhood of O, and later also in the neighbourhood of R', they may exist at the same time. (ⅲ)In case 0>m>a and m

    本文考虑形如 dx/dt=-y+ny~2+mxy+dx,dy/dt=x(1+ax)(1)的第Ⅱ类方程的极限环的相对位置,方程(1)一般有四个初步奇点,两个指标+1的奇点,两个指标-1的奇点(即鞍点)。在§1中,我們給出两个指标+1的奇点附近存在极限环与不存在极限环的某些充分或必要的条件,且給出两个指标+1的奇点附近同时存在极限环与不可能同时存在极限环的充分条件。在§2中,我們分析了方程(1)的軌綫的全局拓扑結构,並分析了两个指标-1的鞍点产生分界环线的可能性,且由这些分界环线的稳定性确定指标+1的奇点附近出現极限环的个数的奇偶性。同时,我們发現了在某些情形,当|d|由零增加至|m|时,在奇点R′附近会突然跳出一个半稳定坏,然后分裂为至少一个稳定环和一个不稳定环。

    In this paper, several criteria of stability for monotonically-approached and oscillatorily-approached plane limit cycles are obtained, using the relations between the divergence of its vector field and the change in area of the stream-tube cross section. A geometric criterion for monotonically-approached semi-stable limit cycles is given, which enables one to draw the limit cycles, Conditions of stability are established for space limit cycles and equilibrium points of second order nonautonomous systems.

    本文利用系统所定义的矢量场的散度与其流管截面积改变率之间的关系,建立了单调接近和振动接近的平面极限环的一些稳定性条件。对单调接近的半稳定极限环给出了一个几何条件,按此条件可以作图画出这种极限环。还对空间极限环和二阶非自治系统平衡位置各得到一个稳定性条件。

    The solutions of a class of simultaneous integrated functional equations are discussed. The results generalize Theorem 5.4.2, 5.6.2 in (1) and can be used to characterize the generalized semistable law, while the conditions turn out to be r edundent.

    本文对论一类积分函数方程组的解.该结果推广了[1]中定理5.4.2,5.6.2,并应用于刻划更一般的半稳定分布律,条件大大简化.

     
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