基本解释：高阶奇点
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A high-order singular point in this flowfield was analysed by differential equation qualitative theory.并用微分方程的定性理论分析了此时流场中出现的一种高阶奇点 。
There is a high-order singular point in this critical flow pattern. 应用拓扑分析的方法研究了细长体截面绕流拓扑结构的演变过程· 指出随着细长体背涡的发展,导致截面流场的拓扑结构发生变化,会出现一种临界流动状态· 在这种临界流态下,流场中会出现一种高阶奇点· 这种高阶奇点的指数为-3/2· 这种高阶奇点是结构不稳定的,稍有扰动就会产生分叉,使流场的拓扑结构发生变化·
) with one higher order singularity, give defi-nition of singularity value and calculated all singularity value of system ( .本文研究了具有一个高阶奇点的系统（１。
According the theory of the singular point value and the calculating method, the highest singular point of the origin- 5th degree is obtained and proved for a class of cubic system.运用奇点量理论和计算方法求出了一类三次系统原点的最高阶奇点量并证明为 5阶 ;由此解决了其原点的稳定性和可积性条件问题 ;作出此三次系统对应实系统的弱分枝函数并构造出其原点分枝出 5个极限环的具体形式。
According to the theory of the singular point value and by the calculating method, for a class of cubic system the highest singular point of the origin--6th degree is obtained and proved,and the problems of stability and integral condition of the origin are also solved.运用奇点量理论和计算方法求出了一类三次系统原点的最高阶奇点量 ,并证明为6阶 ,解决了其原点的稳定性和可积性条件问题 。
In this paper, for second order differential autonomous system, the multiplicity of higher order singular point is defined, the decomposition and amalgamation on multiple singular point is discussed, and the relation between multiplicity and index of multiple singular point is discovered.对二阶微分自治系统定义了高次奇点的重次，讨论了多重奇点的分解与合并以及奇点的重次与指数之间的关系，并证明了闭轨内部奇点的重次之和为奇
In this paper, we discuss the locally topological structure of higher order singular point for the plane cubic system with two zero characteristic roots, and give a criterion by the coefficients of polynomials.讨论了具有两个零特征根的平面三次系统高次奇点的局部拓扑结构，并给出利用多项式系数的判断准
The locally topological structure of higher order singular point for the plane quartic system with two zero characteristic roots is discussed and a criteria by the coefficients of polynomials is given.讨论了具有两个零特征根的平面四次系统高次奇点的局部拓扑结构；给出利用多项式系数的判断准
Computation of the Nonlinear Problem with a Single Parameter and Bifurcation Analysis of Reaction-Diffusion Equations;单参数非线性问题高阶奇异点的计算及一类反应扩散方程组的分歧分析
Two Dimensional High Fractional Order Sigular Integrals with Sigularity Lies in the Interior of the Domain;奇点位于区域内部的二维高分数阶奇异积分
High Order Finite Volume Methods for the Second Order Singular Perturbation Problems二阶奇异摄动问题的高阶有限体积法
Positive Solution of Singular Nonlinear Third Order Two Point Boundary Value Problem;非线性奇异三阶两点边值问题的正解
The existence principle of singular second-order three-point boundary value problems;奇异二阶三点边值问题的存在性原则
Solvability of Singular Second Order M-point Boundary Value Problems;奇异二阶m-点边值问题解的存在性
On Study for Existence of Positive Solutions of a Nonlinear Boundary Value Problem非线性奇异三阶三点边值问题的正解
Solving a class of 2-order Singularly Perturbed Two Point Boundary Value Problems求解一类二阶奇异摄动两点边值问题
Positive Solutions for Second-order Three-point Value Problem with Singular Nonlinearities二阶三点奇异边值问题正解的存在性
Higher Order Singular Spectrum Analysis of EEG Based on Wavelet Transform基于小波变换的脑电高阶奇异谱分析
A Kind of Jump Problem with Singularities of High Order;一类自由项带高阶奇异权的跳跃问题
King-Werner Method for Solving High Order Singular Problems用King-Werner法求解高阶奇异问题
Multiple Positive Solutions of Nonlinear Singular Second-order Three-point Boundary Value Problems;奇异非线性二阶三点边值问题的多重正解
Positive Solutions of Three-point Boundary Value Problems of Singular Second Order ODE;奇异二阶常微分方程三点边值问题的正解
Positive Solutions of Nonlinear Singular Third-order Two-point Boundary Value Problem;关于非线性奇异三阶两点边值问题的多个正解
The existence of the positive solution for a singular nonlinear boundary value problem of second order three-point;奇异非线性二阶三点边值问题正解的存在性
Positive Solutions of Singular Superlinear Second-order-point Boundary Value Problems;奇异超线性二阶微分方程m-点边值问题的正解
Solutions for a Class of Singular Third-order Differential Equation with Three-point Boundary Condition一类奇异三阶微分方程（组）三点边值问题的解
