1) hyperbolic point
双曲点
2) hyperbolic singular point
双曲奇点
3) hyperbolic saddle point
双曲鞍点
1.
In this paper, we obtain a necessary and sufficient condition for the existence of a parabolic separatrix that connects a saddle-node point with a hyperbolic saddle point in a class of systems, which gave premise condition to analytic study semi-local bifurcation of a separatrix connecting a saddle-node point with a hyperbolic saddle point.
讨论了一类系统存在鞍结点分界线与双曲鞍点连线的条件,得出鞍结点分界线与双曲鞍点连线是对称轴平行于y轴的抛物线的充要条件,为研究这类系统存在鞍结点分界线与双曲鞍点连线的半局部分支提供了前提条件。
4) hyperbolic inverse point
双曲逆点
5) nine-point hyperbola
九点双曲线
6) hyperbolic fixed point
双曲不动点
1.
Based on the research on two systems,"two mass points in an orientable smooth closed r manifold move" and "three mass points moving in the 3 dimension R 3",an estimation of the numbers of hyperbolic fixed points is conducted,in t his paper and the lower boundary is presented.
通过对“2个质点在一可定向光滑闭 r流形上运动”和“3个质点在 3维空间 R3 运动”这两个特殊系统进行研究 ,对系统的双曲不动点进行了估计 ,并给出了下
补充资料：双曲点
双曲点
hyperbofic point
双曲点伪甲蜘众州d;roue两。几.，ecKa:TO，“a] l)曲面的双曲点(hyl犯面licpointofasurf加羌)是一个点，在该点的密切抛物面(璐以山山gp晚比ki均是双曲抛物面(hyl光而licP别旧加Ioid).在双曲点上1为咖.标形(I〕uPin让以i口trix)由一对共扼双曲线给出.EB.m~撰【补注】在双曲点上曲面有负C饱J骆曲率，反之，如果曲面在一个点上有负C饭u洛曲率，则这个点是双曲点.2)动力系统的双曲点(场详rbolicpointofad卵田汕习s岁记m)是系统 交=f(x)，x=(x:，二，戈)(*)的定义域中使得f(x’)二0的一个点x=x’，此时与叮归x在x二x’的值相等的矩阵A有k个正实部的本征值及n一k(O
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