极限集,limit set

1)limit set
极限集
1.
In a compact system, the limit set of a point can b e countable or uncountable.
紧空间上的动力系统中一点 x的极限集可能是可数的也可能是不可数的 。


2.
Let f be a self-mapping of a metric space, it is proved that if f has the strong shadowing property, then the strong chain recurrent set of f is equal to the limit set.
证明了 :若度量空间上的一个连续自映射有强跟踪性 ,则其强链回归集与极限集相同 。


3.
In this paper,the concepts of limit set,cluster set of L-net were introduced in the topological molecular lattices,many properties of molecular net were extended.
在拓扑分子格中引入了L 网的极限集、凝聚集等概念,推广了拓扑分子格中分子网的诸多性质,并以L 网为工具,刻划了拓扑分子格中T2分离性、紧性与次紧性。


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2)limit sets
极限集
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3)limited set
极限集
1.
It was proved that the limited sets were conditional ω-compact sets.
从多角度描述了Banach空间中的极限集,并将其与其他几种紧性集合进行比较,并证明了该极限集是条件ω紧集。


2.
Section 1 and section 2 give the main results about the limited set and the limited operator.
§1和§2开列了有关极限集和极限算子的主要成果,证明了极限算子全体LO是真闭满射算子理想,并且(L,LO)=LO。


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4)limit set
极限点集
1.
Analysis of the limit set for the gradient neural network is also conducted.
用神经网络求解优化问题，必须考察的问题是网络的极限点集结构；对梯度神经网络的极限点集进行详细分析，主要结果是对凸函数来说网络的极限点集就是该函数的极小值点集，而这恰是梯度网络求解凸函数总体极值时，网络能够全局稳定收敛的条件。



5)limit of sets
集极限

6)likely limit sets
拟极限集
1.
We consider the likely limit sets of 3-order nonsingle-valley Feigenbaum s maps and their Hausdorff dimensions.
本文讨论了3阶非单谷Feigenbaum映射的拟极限集及其Hausdorff维数。


2.
On the basis of considering the likely limit sets of a 2q-order(q≥1) single-valley Feigenbaum s map and its Hausdorff dimension,the construction of likely limit sets is described,and the relative expression of its exact Hausdorff dimension is obtained.
讨论了2q阶(q≥1)单谷Feigenbaum映射的拟极限集及其Hausdorff维数,得到其结构,并给出了其准确的Hausdorff维数的关系式。


3.
On the basis of considering the likely limit sets of a 4-order Feigenbaum s map and their Hausdorff dimension, we have proved that for any t∈(0,log_(3+1)2), there always exits such a 4-order nonsingle-valley Feigenbaum s map which has a likely limit set with Hausdorff dimension t.
讨论一类 4阶 Feigenbaum映射的拟极限集及其 Hausdorff维数 ,并证明对任意t∈ ( 0 ,log 3+12 ) ,总存在一类具有简单轨的 4阶非单谷 Feigenbaum映射 ,它有一个以 t为Hausdorff维数的拟极限集 。


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补充资料：极限集


极限集
limit set

　　极限集汇如‘t眨;npe皿e刀研oeM”0盆ec卿」 有时用来指聚值集(clusterset).【补注】“极限集”一词也用于其他方面.例如，用于KI‘11群(幻einiangroup)理论和动力系统理论(例如见轨道的极限集(肠刀it set ofa峋ect卿)).
　　
说明：补充资料仅用于学习参考，请勿用于其它任何用途。

极限集,limit set