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1)  ninth order saddle point
九阶鞍点
1.
Clobal topological classifications for two classes of cubic differential systems with a ninth order saddle point;
两类具有九阶鞍点的三次微分系统的全局拓扑分类
2)  higher order saddle point
高阶鞍点
3)  First order saddle point
一阶鞍点
4)  saddle [英]['sædl]  [美]['sædḷ]
鞍点
1.
The center-weak focus of a general system of degree “n” was transformed into a problem of generalized center-weak saddle.
将一般n次中心—细焦点系统,转化为广义中心—细鞍点系统。
2.
A problem of center-weak focus system of degree n(n denotes odd numbers) in qualitative theory of differential equation is transformed into the problem of generalized center-weak saddle system by a generalized transformation of generalized polar coordinates,which offers the calculation formula of eleven-order weak saddle values.
采用广义极坐标变换,将微分方程定性理论中的齐n次(n为奇数)中心———细焦点系统,转化为广义中心———细鞍点系统,给出了该系统的第11阶细鞍点量计算公式。
3.
We discuss the types of the equilibrium points,Hopf bifurcation,saddle separate relation place.
讨论平衡点的类型,Hopf分支问题,鞍点分界线的相对位置,极限环的存在性。
5)  Saddle point
鞍点
1.
Incomplete Lagrange function and saddle point optimality criteria fora class of nondifferentiable generalized fractional programming;
一类非可微广义分式规划的非完全Lagrange函数与鞍点最优性准则
2.
Existence of the saddle points under the weak continuity;
弱连续条件下鞍点的存在性
3.
It will present consistency of saddle point with Nash equilibrium,and prove the corresponding theorems.
讨论了二人常和博弈中的占优策略、最优策略与稳妥策略的关系,比较最小最大原理和最大最小法分别选取的支付大小,通过例子说明稳妥策略组合不一定是纳什均衡;提出鞍点与纳什均衡的一致性,并证明了相应的定理。
6)  saddle-point
鞍点
1.
During the definition of new saddle point,x0∈V is not needed,so the new saddle-point optimality condition is obtained in this paper.
2003年,Sach引进了一种新的鞍点,在新鞍点定义中,不需要x0∈V,为此,本文最后得到了新鞍点的最优性条件。
2.
The saddle-point type optimality criteria are also proven by using the existing necessary conditions under the assumption of the class of(F,α,ρ,d)-convexity.
对于一类目标函数中有无限个分式的广义分式规划,给出了两个不完全Lagrange函数,并利用已有的最优性必要条件,在(F,α,ρ,d)-凸性的条件下,证明了鞍点最优性准则。
3.
For a class of generalized fractional programming whose objective function is composed of infinite fractions,the saddle-point type optimality criteria are proven by using the existing necessary conditions,under the assumption of the class of B-(p,r)-invexity.
对于一类目标函数中有无限个分式的广义分式规划,给出一个不完全Lagrange函数,并利用已有的最优性必要条件,在B-(p,r)-不变凸性的条件下,证明了鞍点最优性准则。
补充资料:鞍点
分子式:
CAS号:

性质:数学上同时具备极大与极小性质的点。应用于三维势能面及裂变核势能曲面上,与反应坐标相垂直的方向上过渡态位于势能的最低点,发生对称伸缩振动。在沿反应坐标方向上过渡态位于势能的最高点,发生不对称伸缩振动。过渡态在势能面所处的这一点即势能面的鞍点。

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