稳定流形

The stability boundary for a di sturbed electric power system is changed to a coordinate plane after a linear a nd a nonlinear transformation.

提出了基于稳定流形变换的电力系统暂态稳定性计算的方法，推导了状态矩阵有任意对复数特征根时的非线性变换矩阵。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simon\'s nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simons nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

In this paper, the unstable manifold of a continuous self-mapping/on a completely densely ordered linear ordered topological space is discussed.

文章研究完备稠序的线性序拓扑空间上连续自映射f的不稳定流形。

This family is called the stable manifold .

这个家庭被称为稳定流形。

Based on the stable manifold theory,the chaotic system will be controlled and synchronized if it is guided to the desired target by designing a suitable controller.

这种方法以稳定流形理论为基础，通过设计合适的控制器将混沌系统引至目标轨道，使混沌得以控制和同步。

The stability of system equilibrium point and the existence condition of 3-D Hopf bifurcation as well as the stability of hence generated periodic solution were analyzed, so that the existence of limit cycles on the two-dimensional stable manifold of one microbial species and its nutrition was verified when other one had the disadvantage in the competition so as to become extinct.

研究当营养消耗率δ1＝δ1为一般的非减连续函数和δ2＝常数的三维Chemostat模型，分析系统平衡点的稳定性，三维系统经历Hopf分支的条件和由此产生的周期解的德定性，证明系统中某一微生物物种处于竞争劣势而趋于灭绝时另一微生物物种和营养的二维稳定流形上极限环的存在性。

The stability of system equilibrium point and the existence condition of 3-D Hopf bifurcation as well as the stability of hence generated periodic solution were analyzed,so that the existence of limit cycles on the two-dimensional stable manifold of one microbial species and its nutrition was verified when other one had the disadvantage in the competiti.

研究当营养消耗率1δ=1δ为一般的非减连续函数和2δ=常数的三维Chemostat模型，分析系统平衡点的稳定性，三维系统经历Hopf分支的条件和由此产生的周期解的稳定性，证明系统中某一微生物物种处于竞争劣势而趋于灭绝时另一微生物物种和营养的二维稳定流形上极限环的存在性。

In this paper we study mainly the topological structures of some invariant sets and entropy of continuous self-maps on Warsaw circle and unstable mainifold s and entropy of continuous self-maps on a tree.

本文主要研究了华沙圈上连续自映射的一些不变集的拓扑结构、拓扑熵和树上连续自映射的非稳定流形和拓扑熵等某些动力性质。

In this paper we study mainly the topological structures of some invariant sets and entropy of continuous self-maps on Warsaw circle and unstable mainifolds and entropy of continuous self-maps on a tree.

中文摘要：本文主要研究了华沙圈上连续自映射的一些不变集的拓扑结构、拓扑熵和树上连续自映射的非稳定流形和拓扑熵等某些动力性质。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。