Unpredictable points and chaos

被引：37

作者：

Akhmet, Marat ^{[1
]}

Fen, Mehmet Onur ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 40卷

关键词：

Unpredictable point; Poincarechaos; Quasi-minimal set; Symbolic dynamics; EQUATIONS;

D O I：

10.1016/j.cnsns.2016.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. The existing definitions of chaos are formulated in sets of motions. This is the first time in the literature that description of chaos is initiated from a single motion. The theoretical results are exemplified by means of the symbolic dynamics. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：1 / 5

页数：5

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