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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。
2)  limit sets
极限集
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。
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
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)).
  
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