文献类型：期刊文献

英文题名：Sensitivity, Shadowing Property and P-Chaos in Duopoly Games

作者：Wang, Hongqing[1];Lu, Tianxiu[2];Li, Risong[1];Gao, Ping[2,3]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China;[2]Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China;[3]Bridge Nondestruct Detecting & Engn Comp Key Lab S, Zigong 643000, Peoples R China

年份：2025

卷号：17

期号：4

外文期刊名：SYMMETRY-BASEL

收录：SCI-EXPANDED(收录号：WOS:001475842300001)、、Scopus(收录号：2-s2.0-105003584949)、WOS

基金：This research was supported the Key Scientific and Technological Research Project of Science and Technology Department of Zhanjiang City (No. 240418034547512), the Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (No. 2018QZJ03), the Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (No. 2018RZJ03), and the Scientic Research Project of SUSE (No. 2024RC057).

语种：英文

外文关键词：cofinite sensitivity; shadowing property; P-chaos; chain mixing; duopoly game

外文摘要：In this paper, we discussed the cofinite sensitivity, shadowing property (SP), P-chaos, and chain mixing of a system induced by symmetric maps (Cournot maps) D(a,b)=(t(b),s(a)) over a product space GxH, where s:G -> H, t:H -> G, a is an element of G, b is an element of H, G and H are closed subintervals with G,H subset of R. The following hold: (1) D is cofinitely sensitive and equivalent to D2|Gamma 1 or D2|Gamma 2 being sensitive, where Gamma 1={(t(b),b):b is an element of H}, Gamma 2={(a,s(a)):a is an element of G}. (2) D possessing an SP is equivalent to both s degrees t and t degrees s having an SP. (3) t degrees s possesses an SP if and only if s degrees t does as well. (4) D is P-chaotic and equivalent to the maps s degrees t and t degrees s being P-chaotic. (5) If D is chain mixing, then both D2|Gamma 1 and D2|Gamma 2 are chain mixing. (6) If D2|Gamma 1 and D2|Gamma 2 are chain mixing, then D is chain transitive. Moreover, we extended (1)-(4) to three-dimensional cases.