| 拓扑动力系统研究的图像方法(英文) |
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| 引用本文： | 陈仁莲,何伟弘,罗俊.拓扑动力系统研究的图像方法(英文)[J].东北数学,2008,24(2):109-117. |
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| 作者姓名： | 陈仁莲 何伟弘 罗俊 |
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| 作者单位： | School of Mathematics and Computational Science;Sun Yat-Sen University; |
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| 摘 要： | This paper considers the graph sequence graph （f^n ）={x×f^n ： x ∈X} of the iterates f^n of a continuous map f ： X →X on a compact metric space （X, d）. The main aim is to introduce serval limit sets by using different recurrent time sets, and discuss the relation between dynamics of the underlying compact system （X, f） and the structure of these limit sets, from a topological or fractal viewpoint.
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| 关 键 词： | 拓扑动力系统 研究方法 图像方法 拓扑学 |
Graphic Methods in Topological Dynamics |
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| CHEN Ren-lian HE Wei-hong LUO Jun.Graphic Methods in Topological Dynamics[J].Northeastern Mathematical Journal,2008,24(2):109-117. |
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| Authors: | CHEN Ren-lian HE Wei-hong LUO Jun |
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| Institution: | School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, 510275 |
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| Abstract: | This paper considers the graph sequence graph (fn)={x×fn:x∈X} of the iterates fn of a continuous map f : X→X on a compact metric space (X, d). The main aim is to introduce serval limit sets by using different recurrent time sets, and discuss the relation between dynamics of the underlying compact system (X, f) and the structure of these limit sets, from a topological or fractal viewpoint. |
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| Keywords: | graphic method dynamical system topological dynamics topological superior limit topological inferior limit |
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