1) algebraic invariant curve
代数不变曲线
1.
The conditions of one family of planar quintic polynomial differential system which(possesses) a quintic algebraic invariant curve are presented.
给出一平面五次多项式微分系统存在五次代数不变曲线的条件。
3) quartic invariant algebraic curve
四次不变代数曲线
1.
The present paper is devoted to classifying topologically to the quartic invariant algebraic curves in qudratic system,some corresponding conditions that the connected component of the quartic curve will be a homoclinic cycle of the system have been brought forward.
本文对一类二次系统的四次不变代数曲线进行拓扑分类，并提出各曲线的紧分支能构成相应同宿环的充要条件，全文共分为三章。
4) invariant algebraic surface
不变代数曲面
1.
In the first part, by using the method of characteristic curves for solving linear partial differential equations, all invariant algebraic surfaces for three nonlinear systems are obtained.
第一部分，利用求解线性偏微分方程的特征曲线法，得到了三个系统的所有不变代数曲面。
5) invariant curve
不变曲线
1.
The quadratic system with an invariant curve y~n=x~(n+1)-x~n;
以y~n=x~(n+1)-x~n为不变曲线的二次系统
2.
Invariant Curves of the Overdamped Pendulum Type Equations and Travelling Waves in a Chain of Coupled Oscillators with Strong Damping;
过阻尼摆型方程的不变曲线及强阻尼耦合振子系的行波解
3.
In this paper we prove that the global attractor for the Sine-Gordon system without capacitance effect under Neumann boundary condition is an invariant curve.
证明当扩散系数适当大时Neumann边条件下无电容效应的Sine Gordon系统全局吸引子是一条不变曲线 ,系统在其上的行为类似于圆周上的保向同胚 。
6) invariant curves
不变曲线
1.
Existence of analytic invariant curves for a planar mapping near resonance;
一类平面映射在共振点附近的解析不变曲线的存在性
2.
We prove the existence of invariant curves of planar reversible mapping which is quasi-periodic in one of the spatial variables,when the reversible mapping is C~l smooth.
证明了平面拟周期可逆映射在C~l光滑情况下其不变曲线的存在性,并且给出了l同不变曲线的光滑性和丢番条件中指数的关系。
3.
This paper is concerned with an analytic invariant curves on a planar mapping of the iterative functional equation.
研究了复合迭代函数方程所代表的一类不变曲线的解析解,通过构造辅助方程的幂级数解,从而获得原方程的解析解。
补充资料：Hesse曲线(代数曲线的)
Hesse曲线(代数曲线的)
Hessian (algebraic curve)
11油限曲线(代数曲线的)【H台自11(.妙如允.抖e);recc咖，T~aaa，即r药pa一吸ee二o‘二p.助蓝] n次代数曲线(司罗玩水c~)的He丈祀曲线就是其极二次曲线能分裂为两条直线的点的集合，也是第一极曲线的二重点构成的集合.n次非奇异曲线的He丈七曲线是一条次数为3伪一2)、类为3(n一2)(3n一7)的曲线.设介O是这条n次曲线的齐次坐标方程，关丘=刁:f/刁xi刁、，则它的He丈犯曲线的定义方程为 !不:关:五，} }五:关:五31=0. }人，人2人3}特征不等于3时的三次非奇异曲线的H既七曲线与这条曲线交于9个通常拐点.因O.H改e(l 844)而得名. A .E.H困阳。B撰
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参考词条