Dynamical systems which realize given random bi-sequences of points on their orbits

被引：1
|
作者：
Kato, Hisao [1 ]
机构：
[1] Univ Tsukuba, Inst Math, Ibaraki 3058571, Japan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 09期
基金：
日本学术振兴会;
关键词：
Dynamical system; Orbits; Transitive homeomorphism; Chaotic; Good measure; Measure-preserving homeomorphism; Flow;
D O I：
10.1016/j.topol.2011.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A dynamical system consists of a phase space of possible states, together with an evolution rule that determines all future states and all past states given a state at any particular moment. In this paper, we show that for any countable random infinite bi-sequences of states of some phase space, there exists an evolution rule in C(0)-topology which realizes precisely the given sequences of states on their orbits and satisfies some regular conditions on the times to realize the states. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1163 / 1171
页数：9
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