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DYNAMICS ON WEAKLY PSEUDOCONVEX DOMAINS 被引量:1
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作者 ZHANGWENJUN RENFYUAO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第4期467-476,共10页
This paper studies the iteratiolls of holomorphic self-maps which have nonwandering points over general pseudoconvex domains in C2. The authors give especially a Denjoy-Wolff-type theorem on pseudoconvex domains with ... This paper studies the iteratiolls of holomorphic self-maps which have nonwandering points over general pseudoconvex domains in C2. The authors give especially a Denjoy-Wolff-type theorem on pseudoconvex domains with reaLanalytic boundaries, or even more general, on domains of finite type. 展开更多
关键词 ITERATION HOROSPHERE Domains of finite type nonwandering point.
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THE LIMIT SET OF A CONTINUOUS SELF-MAP OF THE TREE
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作者 罗智明 张可村 《Annals of Differential Equations》 2003年第1期60-64,共5页
Let f denote a continuous map of a tree T to itself. A point x ∈ T is called a 7-limit point of f if it is both an ω-limit point and an α-limit point. In the present paper, we show that (1) Ω-Γ is countable, (2) ... Let f denote a continuous map of a tree T to itself. A point x ∈ T is called a 7-limit point of f if it is both an ω-limit point and an α-limit point. In the present paper, we show that (1) Ω-Γ is countable, (2) A -Γ and P - Γ are either empty or countably infinite, where P denotes the closure of the set of periodic points P. 展开更多
关键词 nonwandering point recurrent point one-side isolated
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