文献类型：期刊文献

英文题名：Spatio-temporal chaos in duopoly games

作者：Li, Risong[1];Zhao, Yu[1];Lu, Tianxiu[2,3];Jiang, Ru[1];Wang, Hongqing[1];Liang, Haihua[1]

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;[3]Artificial Intelligence Key Lab Sichuan Prov, Zigong 643000, Sichuan, Peoples R China

年份：2017

卷号：10

期号：7

起止页码：3784

外文期刊名：JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000409101400033)、、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), the National Natural Science Foundation of China(11501391), the Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (2015RZJ01), and the Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (2014QZJ02).

语种：英文

外文关键词：Spatio-temporal chaos; Li-Yorke sensitivity; duopoly game

外文摘要：Suppose that G and H are two given closed subintervals of R, and that q : G -> H and p : H -> G are continuous maps. Let Gamma(s, t) = (p (t), q (s)) be a Cournot map over the space G x H. In this paper, we study spatio-temporal chaos of such a Cournot map. In particular, it is shown that if p and q are onto maps, then the following are equivalent: 1) Gamma is spatio-temporally chaotic; 2) Gamma(2)vertical bar(boolean AND 1) is spatio-temporally chaotic; 3) Gamma(2)vertical bar(boolean AND 2) is spatio-temporally chaotic; 4) Gamma(2)vertical bar(boolean AND 1 boolean OR boolean AND 2) is spatio-temporally chaotic. Moreover, it is proved that if p and q are onto maps, then p circle q is spatio-temporally chaotic if and only if so is q circle p. Also, we give two examples which show that for the above results, it is necessary to assume that p and q are onto maps. (C) 2017 All rights reserved.