bifurcating

英 [ˈbaɪfəkeɪtɪŋ]

美 [ˈbaɪfərkeɪtɪŋ]

v.  分叉; 分支
bifurcate的现在分词

柯林斯词典

• V-ERG （使）分叉；（使）分成两支
  If something such as a line or pathbifurcatesoris bifurcated, it divides into two parts which go in different directions.
  1. The blood supply bifurcates between eight and thirty times before reaching each particular location in the body.
     血液要分流8到30次才能到达身体的各个部位。

双语例句

• In this paper, we discuss the stability of a steady state and the existence of the Hopf bifurcation in a competition diffusion model with delay, furthermore, we give the stability of the bifurcating periodic solutions.
  本文研究一类含扩散的竞争时滞模型的定常解的稳定性以及Hopf分歧解的存在性，进而给出分歧周期解的稳定性和分歧方向。
• Dr. Li Chun-guang has further studied the local stability and the Hopf bifurcation of this model, and has determined the stability of the bifurcating periodic solutions and directions of Hopf bifurcation by applying the center manifold theorem and the normal form theory.
  李春光博士进一步研究了该模型的局部稳定性和Hopf分岔，并用中心流形定理和正规型理论确定了分岔周期解的稳定性和分岔方向。
• Solving the equation numerically can obtain the bifurcating value curves.
  通过对方程的数值求解，得到了相应的分岔值曲线。
• The theory and algorithm of symmetry-breaking bifurcation are applied to finding multiple solutions for boundary value problems of nonlinear elliptic PDE's, different symmetry properties of nontrivial solutions have been studied, and numerical multiple solutions which have vary symmetry properties bifurcating from bifurcation points are visualized.
  用对称破缺分歧理论的方法计算了非线性椭圆型方程边值问题的多个解，讨论了非平凡解的各种对称性质，画出了从各个分歧点出发的具有各种对称性质的解。
• Then, we derive the explicit formulae for determining the direction of the Hopf bifurcation and the stability of these periodic solutions bifurcating from the steady states, by using the normal form method and center manifold theorem.
  进而应用规范型方法和中心流形理论，我们推导出确定分支周期解的稳定性和分支方向的计算公式。
• Secondly, using center manifold theory and normal form method, we can give the formulas of the local Hopf bifurcation to discuss the direction of the bifurcation, the stability of bifurcating periodic solutions and the period of the solutions.
  其次，运用中心流形及规范型的理论讨论了在正平衡点处局部Hopf分支的计算公式，并且以此讨论了局部Hopf分支的分支方向、分支周期解的稳定性及其周期解的周期等。
• Nondegeneracy and Stability of Hopf Points Bifurcating from Double Fold Points
  从双重折叠点分支出的Hopf点的非退化性和稳定性
• The present paper covers the Hopf points bifurcating from double fold points, and gives some computable nondegeneracy conditions and stability conditions of these Hopf points.
  本文研究从双重折叠点分支出的Hopf点，给出了可计算的非退化性条件及稳定性条件。
• This paper is focus on delay-induced non-resonant double Hopf bifurcations, computation of the bifurcating solutions, and chaos in a van der Pol-Duffing system with linearly delayed feedback.
  本文研究线性时滞反馈导致vanderpol-Duffing系统非共振双Hopf分岔分类、分岔解计算以及混沌运动。
• The dynamic buckling condition is expressed as the bifurcating condition and the buckling force and the buckling modes are obtained.
  通过方程求解，将梁的动力屈曲划归为分叉问题并给出了分叉条件，并由分叉条件得到了屈曲临界力和模态。