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。
A Certain Kind of the Non-degenerate Nilpotent Lie Algebras on C;
复数域C上的一类非退化幂零李代数
The projected gradient of the iterative sequence converges to zero under the certain conditions is proved,and the finite termination under the conditions of weak sharp minima and non-degenerate are obtained respectively.
并分别在弱强极小性和非退化的条件下得到了算法的有限终止性。
The non-degenerate of the Markov integrated semigroup is proved according to the definition of transition probability functions.
从转移概率函数的定义出发,证明了Markov积分算子半群是非退化的。
The relation between the nondegeneracy of their primal-dual optimal solutions and their strictly complementary optimal solutions is characterized, and then the conditions in which the solutions of a pair of primal and dual conic programmings are unique respectively are obtained.
从几何的观点描述一对原始-对偶锥规划可行域的极点,给出原始-对偶非退化的最优解与严格互补的最优解之间的关系,从而得到锥规划最优解唯一的条件。
non-degenerate symmetric bilinear form
非退化对称双线性型
On Nondegenerate Representation of Some Hilbert C~*-Module;
Hilbert C~*-模上的非退化表示
The adjoint representations of Hopf algebras with non-degenerate Killing form
Killing根非退化下Hopf代数的伴随表示
Co-split Lie super algebra with non-degenerate Killing forms
具有非退化Killing型的余分裂李超代数
Boundary Value Problems of the Higher Order Singular Ordinary Differential Equations (Ⅰ)──the Non-Degenerative Case
高阶奇性常微分方程的边值问题（Ⅰ）──—非退化情形
NONDEGENERATE INVARIANT BILINEAR FORMS AND THE CENTROID ON LIE TRIPLE SYSTEMS;
李三系上的非退化的不变双线性型与形心
Depolarization will be produced by the departure from perfect alignment of the domains.
短的非理想排列将产生退极化。
Properties of Solutions for Nonlinear Degenerate Reaction-Diffusion Systems;
非线性退化反应扩散方程组解的性质
A Class of Degenerate Parabolic Equations with a Concentrated Nonlinear Source
具集中非线性源的一类退化抛物方程
Nonlinear Degenerate Parabolic System with Weighted Non-local Source
具有加权非局部源的非线性退化抛物方程组
A Positive Study on China s Farmland Conversion and Land Degradation in Transition;
转型期中国耕地非农化与土地退化的实证分析
On the Cauchy Problem for Degenerate Parabolic Equations with Strongly Nonlinear Sources;
具强非线性源退化抛物方程解的柯西问题
Thermal Annealing Effects on the Optical Properties of Amorphous Silicon Carbide Films;
非晶碳化硅薄膜光学特性的热退火效应
Single Point Blowup for a Nonlocal Degenerate Reaction-diffusion System;
一类退化的非局部反应扩散方程组的单点爆破
The selectivitys for grain size of crystal in process of annealed treatment for the amorphous;
非晶退火晶化过程中晶粒度的可选择性
The Existence of Classical Solutions for a Class of Parabolic Equation with Strong Nonlinearity and Degeneration;
一类具强非线性退化抛物方程古典解的存在性
Qualitative Study to a Class of Quasilinear Degenerate Parabolic Systems
一类具退化性非线性抛物方程组的定性研究
Doubly Degenerate Parabolic Equations with Nonlinear Inner Sources or Boundary Flux
具有非线性源或边界流的双重退化抛物型方程