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 bifurcation
 The Algebraic Critical Cycles and Bifurcation of Limit Cycles for the System=a+sum from ((i+j)=2) (a_(ij)x~iy~j),=b+sum from ((i+j)=2) (b_(ij)x~iy~j) 微分方程组=a+sum from ((i+j)=2) (a_(ij)x~iy~j),=b+sum from ((i+j)=2) (b_(ij)x~iy~j)的极限环存在的分歧值与代数奇异环 短句来源 Dynamic System of the Mapping z→e~(az+bz~2)(a,b∈R) (Ⅱ)Bifurcation Structure on the Parametric Plane 映照z→e~(az+bz~2)(a,b∈R)的动力系统(Ⅱ)参数平面的分歧结构 短句来源 BIFURCATION CURVES OF SYSTEM (Ⅱ)(CONTINUED)…THE APPROACH AND UNIQUENESS OF THE BIFURCATION CURVES FOR THE EQUATJONS dx/dx=-y+dx+mxy-y~2, dy/dt=x(1+ax). (Ⅱ)类方程的分歧曲线(二)——方程(dx)/(dt)=-y+dx+mxy-y~2,(dy)/(dt)=x(1+ax)的分歧曲线的趋向及其唯一性 短句来源 BIFURCATION CURVES OF SYSTEM (Ⅱ) (CONTINUED) …THE APPROACH AND UNIQUENESS OF THE BIFURCATION CURVES FOR THE EQUATIONS dx/dt=-y+dx+myx-y~2,dy/dt=(1+ax) (Ⅱ)类方程的分歧曲线(二)——方程(dx)/(dt)=(-y)+(dx)+(mxy)-(y~2),(dy)/(dt)=x(1+ax)的分歧曲线的趋向及其唯一性 短句来源 Classification of (D3,O(2))-Equivariant Bifurcation Problems up to Codimension 3 余维数不大于3的(D3,O(2))-等变分歧问题的分类 短句来源 更多
 divergence
 The similarity range of FSHβin-1 sequence among species was from 24.1% to 97.3%,and the divergence was 2.6% to 85.7%. 不同物种间FSHβ基因序列相似性的变异范围为24．1%～97．3%,分歧度则为2．6%～85．7%。 短句来源 Results showed that the interpopulation nucleotide divergence was highest(3.805%-4.067%)between Yili and the other 14 breeds. 研究结果表明:伊犁鹅与14个品种间的核苷酸分歧度最高,为3.805%~4.067%; 短句来源 Sequence divergence within Chinese water deer ranged from 0.2% to 3.5% (average 1.7%). 控制区序列间的分歧从0.2%-3.5%(平均为1.7%)。 短句来源 Excluding the Yili,the interpopulation nucleotide divergence between Huoyan and the remaining breeds,was 0.211%-0.272%,which was significantly higher than that between any other two breeds(0-0.094%). 除伊犁鹅外的14个家鹅品种中,豁眼鹅与其他品种间的核苷酸分歧度为0.211%~0.272%,明显高于其他品种间的0~0.094%。 短句来源 In this study, the divergence time between taxus mairei and taxus chinensis is 57±21.4Ma ago, and it is consistent with the evidences above. 本文结果显示,美丽红豆杉(taxus mairei)和中国红豆杉(taxus chinensis)分歧时间在57±21.4Ma前,也就是中国红豆杉(taxus chinensis和xl)出现于57±21.4Ma年前,与资料基本一致。 短句来源 更多
 divergences
 Theme and Comment:Delimitations and Divergences 主位与主题——界定与分歧 短句来源 Differences of Measure,Divergences of Value——A Comparison of Realism and Modernism in the New Period Literature 尺度的差异 价值的分歧——新时期文学中现实主义与现代主义的比较 短句来源 Theoretical Divergences in Study of the Process of Cognition Processing on the Part of Children with Reading Difficulty 阅读困难儿童认知加工过程研究的理论分歧 短句来源 And it explain why Malaysia support the birth of ASEAN and divergences on ASEAN with other ASEAN member states. 同时也阐释马来西亚积极创立东盟的初衷以及马来西亚在东盟设计问题上和其他成员国所存在的分歧与其在东盟诞生中所产生的作用与影响。 短句来源 Divergences and Interactions in Evolving Global Competition Policy 国际竞争政策的分歧与互动 更多
 ramification
 The Hopf Ramification Analysis for Axial-System Torsional Oscillations 轴系扭振中的 Hopf 分歧分析 短句来源 This paper has given an equationIn them R,γ, α,β, δ, σ are nonnegative constants, that is, the conditions under which the pariodicsolution ramification phenomenon appears. 本又给出方程其中R，γ，α，β，δ，σ为非负常数，出现周期解分歧现象条件． 短句来源 This paper extends the analysis for axial-system torsional oscillation into the nonlinear domain,and the research for Hopf ramification phenomena in axial-system torsional oscillation has been made using the time-domain simulating results,it verified the analysis results of similar nonlinear differential equation describing the axial-system torsional oscillations. 文中把发电机轴系扭振的分析扩展到非线性领域，并对轴系扭振中的Hopf分歧现象进行了研究，利用时域仿真结果对从描述轴系扭振的近似非线性微分方程分析所得结果进行了验证。 短句来源 The research Shows that due to the exsistance of Hopf ramification Phenomena,the unstable range of axial-system torsional oscillations is evidently smaller than the range foreseen by the characteristic root analysing method. 研究表明，由于存在Hopf分歧现象，轴系扭振的不稳定范围明显小于应用特征根分析法所预测的范围。 短句来源

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 bifurcation
 The computation of symmetry-breaking bifurcation points inZ2×Z2-symmetric nonlinear problems This paper is mainly concerned with corank-2 and corank-3 symmetry-breaking bifurcation point inZ2×Z2-symmetric nonlinear problems. In addition, we show that there exist three quadratic pitchfork bifurcation point curves passing through corank-2 symmetry-breaking bifurcation point. Bifurcation of limit cycle for quadratic system with invariant parabola Bifurcation of two-dimensional Kuramoto-Sivashinsky equation 更多
 divergence
 Indeed, if the coefficients of L are in $W^{1,2}\cap L^{\infty},$ then L can be rewritten in divergence form for which the notion of a "weak" solution can be applied. A number of topics related to pointwise convergence or divergence of such inversion, as R → ∞, are studied in this article. Non-divergence form operators and variations on Yau's explosion criterion The Calderón Projector for an elliptic operator in divergence form The aim of this article is to extend the results for the Laplacian case to elliptic operators in divergence form with Lipschitz coefficients on C1 domains. 更多
 divergences
 Coding divergences of probability distributions are introduced. This paper is devoted to the mathematical study of some divergences based on mutual information which are well suited to categorical random vectors. These divergences are generalizations of the "entropy distance" and "information distance." Their main characteristic is that they combine a complexity term and the mutual information. The nature of the divergences is revealed, and the secular terms are found to belong to one of two types: inphase or antiphase with the localized wave. We study the nature of the divergences in two-and three-dimensional inhomogeneous structures as depending on the local parameters and the microgeometry of the system. 更多
 ramification
 Local extensions associated with theι-extensions of number fields with bounded ramification Ramification of a multiple eigenvalue of the Dirichlet problem for the Laplacian under singular perturbation of the boundary con We prove (under an additional condition) that the ramification curve of the inverse of a polynomial mapping cannot be isolated in 4 or 5 blow-ups. One possible ramification of unified theories of nature such as string theory that may underlie the conventional standard model is the possible spontaneous breakdown of Lorentz and CPT symmetry. Variation of the reduction type of elliptic curves under small base change with wild ramification 更多
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