2) ω-limit set
ω-极限集
1.
Studying the ω-limit sets on the interval [0,1)and showing for a continuous self-map f of the interval [0,1),ω(x,f)is a compact set for any x∈[0,1)if the period of each periodic point of f is a power of 2.
讨论了[0,1)区间上连续映射的ω-极限集,指出对于[0,1)上的连续映射f而言,如果f的周期点的周期都是2的方幂,则坌x∈[0,1),ω(x,f)都是紧致的。
2.
Under the assumption that the mapping of right-side of the equations is cooperative, the monotonicity of solution semiflows as well as solutions,and the structure of ω-limit set for bounded solutions are obtained.
当f为合作映射时 ,得到了解半流的单调性和解的单调性 ,给出了有界解的ω-极限集的结构 ,在一定的条件下证明了正平衡态的唯一性和解的收敛性 ,文末用具体的例子说明所得结
3.
In this paper, we consider the limit cycle of several kinds of higher degree polynomial systems and theω-limit sets of dynamical systems.
本文研究了几类特殊的高次多项式微分方程的极限环问题以及一类由微分方程诱导的动力系统的ω-极限集的结构。
3) ω-limit sets
ω极限集
1.
ω-limit sets of solutions to a class of discrete nonlinear breakage equations;
一类离散的非线性爆炸方程解的ω极限集
2.
Under fragmentation-dominated case, it is shown that the ω-limit sets of the solutions only contai.
本文证明了在爆炸占优的条件下,这一系统解的ω极限集只含有平衡点;在更强的条件下ω极限集只含有唯一的平衡点,并且当时间t→∞时,该系统的解强收敛于这一平衡点。
4) ω-limit point set
ω-极限点集
5) omega limitset
Ω极限集合
6) α limit-set
α-极限集
1.
This paper take a further discussion about period orbit,recorrence point,orbit s ω-limit set and α limit-set and get several relative results.
对周期轨道、回归点、轨道的ω-极限集和α-极限集作了进一步的讨论,得到相关结论。
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。
参考词条