Bowen’s Topological Entropy of Generalized Discrete Dynamical System

摘要：

The purpose of this paper is to introduce the topological entropy for so called generalized discrete dynamical system; this is achieved through the consideration of the generalized separated sets and generalized spanning sets. Besides, we pursue that our definition keeps some properties which are hold by the classic definition of topological entropy introduced for metric sets. These results further extend the scope of the research on discrete dynamical system and generalize the existing results to a very general case.

关键词： discrete dynamical system chaos topological entropy spanning-set separated-set.

作者: Xiaoqian Song Liangwei Wang Jinkui Liu

作者单位: College of Mathematics and Statistics, Chongqing Three-Gorges University, wanzhou,404100,China College of Mathematics and Statistics, Chongqing Three-Gorges University, wanzhou, China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-3

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）