1) homoclinic cycle
同宿环
1.
By studying the properties of the invariant curve in detail,it is concluded that the invariant cubic curve together with an invariant line can constitute a homoclinic cycle and a heteroclinic cycle of the cubic system,which has not been seen before.
通过分析一类三次系统的不变三次代数曲线的性质,得出该三次曲线及一条不变直线能同时构成系统同宿环和异宿环,进而构造双参数的旋转向量场使同异宿环各自破裂而产生极限环。
2.
The stability of homoclinic cycles connecting hyperbolic saddle in higher-dimensional systems is discussed.
考虑高维空间连接双曲鞍点的同宿环的稳定性,在可定义回复映射的条件下给出了同宿环在其部分邻域是渐近稳定的判据,将文献[9]中关于3维系统同宿环的结果推广到(m+2)维空间。
3.
The stability of homoclinic cycles in planar piecewise smooth systems was studied.
研究平面分片光滑系统中同宿环的稳定性,在粗鞍点的情况下,给出了判断分片光滑同宿环稳定性的充分条件,证明了分片光滑同宿环的稳定性由鞍点量的符号惟一确定。
2) Homoclinic loop
同宿环
1.
Stability of homoclinic loops to saddle-focus with higher dimensions
高维鞍焦点同宿环的稳定性
2.
In this thesis we consider the bifurcation problems of homoclinic loop or heteroclinic loops with inclination flip or orbit flips in higher dimensional systems.
本毕业论文，主要研究高维系统中具倾斜翻转或轨道翻转的同宿环或异宿环的分支问题。
3.
In chapter 2, we mainly research a class of near-Hamilton system whose unperturbed system has two center points, one saddle point, a simple homoclinic loop and a double homoclinic loop.
第二章主要研究一类近哈密顿系统,它的未扰系统有两个中心,—个鞍点,一个单同宿环和一个双同宿环。
3) homoclinic
同宿环
1.
By analysis,the system has a heteroclinic cycle connecting four saddle points and a homoclinic cycle under certain conditions(their inner unique sigular point is a focus,respectively).
经分析,获得系统在一定条件下同时存在一个四点异宿环和一个同宿环(它们内部均只含一个焦点)。
2.
A kind of quintic curve homoclinic cycles of a quadratic system are found,which are different from the ones described before.
给出一类与已有结果不同的二次系统的五次不变代数曲线,其非孤立闭分支在一定条件下构成系统的同宿环。
3.
Discuss the conditions of the homoclinic cycles being algebraic in a symmetric integrable quadratic system,and obtain that the set of points which correspond to the algebraic curve homoclinic cycles of the system is density in the parameter domains , then give its classification,last consider the conditions for the periodic perturbed system bearing chaotic behavior.
通过讨论对称可积二次系统的同宿环为代数的条件,得到平面参数区域中对应代数曲线同宿环的点集具有稠密性,进一步给出代数曲线同宿环的分类,最后考虑系统的周期扰动,得到系统产生混沌解的条件。
4) Homoclinic and heteroclinic cycle
同(异)宿环
5) homoclinic tori
同宿环面
6) double homoclinic
双同宿环
1.
In chapter 2, we mainly research a class of near-Hamilton system whose unperturbed system has two center points, one saddle point, a simple homoclinic loop and a double homoclinic loop.
第二章主要研究一类近哈密顿系统,它的未扰系统有两个中心,—个鞍点,一个单同宿环和一个双同宿环。
补充资料：同宿
1.一处住宿，一同住宿。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条