| 1. | The point at which branching of the graph occurs is called a bifurcation point and corresponds to a critical value of the load .
图上发生分叉处的点叫分支点，它相当于荷载的临界值。 |
| 2. | The study of simple high order symmetry - breaking bifurcation point
简单高阶对称破坏分歧点的研究 |
| 3. | Numerical approximations of solution branches of a corank - n bifurcation point
阶分歧点处解分支的数值逼近 |
| 4. | There are many kinds of bifurcation points , e . g
此问题是少数能写出分歧解的解析表达式的非线性分歧问题之一。 |
| 5. | Folds , pitchfork bifurcation points , transcritical bifurcation points , etc . we propose a new approach to detection of bifurcation in one single parameter nonlinear problem
分歧理论是非线性问题研究中的重要一环，近一、二十年来得到了突飞猛进的发展，可以说是成果斐然，方兴未艾。 |
| 6. | Secondly such works as vessel detection and extraction of bifurcation points are made . finally , a fully automatic hierarchical method of retinal image registration based on the geometrical and anatomic feature extraction is proposed in this paper
实验表明：该方法具有精度高、速度快、鲁棒性强等特点，是一种高西安理工大学硕士学位论文效的全自动配准方法。 |
| 7. | The ttc is calculated using a method based on continuation power flow ( cpf ) , and the method is the most availability and reliability of coping with saddle - node bifurcation point in the curve result , which is validated with simulation on some calculation examples
经过算例的分析，连续潮流的计算方法在求解考虑鞍型分叉的电压稳定性约束下的输电能力最为可靠，该方法有效且实用。 |
| 8. | We introduce liapunov - schmidt reduction method to investigate the bifurcation of a class of nonlinear reaction - diffusion equations in developmental biology . near the bifurcation point we obtain nontrivial solutions branch emitted from the trivial solution
首先，我们引入liapunov - schmidt约化方法，应用到该方程得到该非线性微分方程在分歧点附近分歧方程的解析近似表达式及其非平凡解的渐进表达式。 |
| 9. | The results indicate that the stability for bifurcation point equilibrium configuration and post - buckling equilibrium path of roof strata can be revealed and an effective method for determining displacement field of imperfection structure can be provided by using initial post - buckling theory
应用初始后屈曲理论可揭示浅埋煤层长壁开采顶板岩层的分叉点平衡构形及后屈曲平衡路径的稳定性，是确定非完善结构位移场的一种有效方法。 |
| 10. | In the second part , we consider a class of reaction - diffusion equations in developmental biology . near the bifurcation points , using the liapunove - schmidt reduction process , we obtain the nontrivial solution branches which are bifurcated from the trival solution when the parameter changes
然后考虑发育生物学中一类反应扩散方程组，在分歧点附近利用liapunov - schmidt约化技巧，得到了从平凡解分歧出来的随参数变化的非平凡解枝以及它们的近似解析表达。 |
