文献类型：期刊文献

英文题名：Note on chaos of a coupled lattice system related with the Belusov-Zhabotinskii reaction

作者：Li, Risong[1];Zhao, Yu[1]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China

年份：2020

卷号：58

期号：6

起止页码：1306

外文期刊名：JOURNAL OF MATHEMATICAL CHEMISTRY

收录：SCI-EXPANDED(收录号：WOS:000520654600001)、、Scopus(收录号：2-s2.0-85081739723)、WOS

基金：This project was supported by the Opening Project of Artificial Intelligence Key Lab-oratory of Sichuan Province (No. 2018RZJ03) and the Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (2018QZJ03).

语种：英文

外文关键词：Coupled map lattice; Density one transitivity; Tent map

外文摘要：In Garcia Guirao and Lampart (J Math Chem 48:159-164, 2010) considered a lattice dynamical system which is stated by Kaneko (Phys Rev Lett 65:1391-1394, 1990) and related to the Belusov-Zhabotinskii reaction. In this note, we introduce the new concepts of density one transitivity and density one weak mixing which are stronger forms of topological transitivity and explore the following more general lattice dynamical systems: x(n)(m+1) = (1 - beta)w(n)(x(n)(m)) + 1/2 beta[w(n)(x(n-1)(m)) - w(n)(x(n+1)(m))], where m is discrete time index, n is lattice side index with system size T, epsilon is an element of I = [0, 1] is coupling constant and w(n) is a continuous map of I for every n is an element of {1, 2, ..., T}. In particular, we show that the for zero coupling constant, this CML (Coupled Map Lattice) system is density one transitive (resp. density one weakly mixing) if and only if so is w(n) for any n is an element of {1, 2, ..., T}.