文献类型：期刊文献

英文题名：Chaos in a topologically transitive semi-flow

作者：Li, Risong[1];Lu, Tianxiu[2]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Guangdong, Peoples R China;[2]Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China

年份：2017

卷号：10

期号：4

起止页码：1675

外文期刊名：JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000407569900030)、、WOS

基金：This research was supported by the Project of Enhancing School With Innovation of Guangdong Ocean University (Grant NO. GDOU2016050207), the Key Scientific and Technological Research Project of Science and Technology Department of Zhanjiang City (Grant 2010C3112005) and the National Natural Science Foundation of China (11501391).

语种：英文

外文关键词：Chaos; topological transitivity; sensitive dependence

外文摘要：In this paper, we study the chaotic phenomena in a topologically transitive, continuous semi-flow, and show that the erratic time dependence of orbits in such a semi-flow is more complicated than the one described by Li-Yorke chaos. Also, we generalize the notion of sensitive dependence on initial conditions for semi-flows and explore the chaotic phenomena for topologically transitive, continuous semi-flows with the generalized sensitivity property. Our results extend the existing results to semi-flows. (C) 2017 All rights reserved.