文献类型：期刊文献

英文题名：Turbulence, Erratic Property and Horseshoes in a Coupled Lattice System related with Belusov-Zhabotinsky Reaction

作者：Zhao, Yu[1];Li, Risong[1]

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

年份：2020

卷号：11

期号：3

起止页码：133

外文期刊名：IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY

收录：ESCI(收录号：WOS:000609124100001)、Scopus(收录号：2-s2.0-85100161080)、WOS

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

语种：英文

外文关键词：Coupled map lattice; Turbulence; Erratic property; Tent map

外文摘要：In this paper we continue to study the chaotic properties of the following lattice dynamical system b(j)(i+1) = alpha(1)g(b(j-1)(i)) + alpha(2)g(b(j)(i+1)) + alpha(3)g(b(j+1)(i)), where i is discrete time index, j is lattice side index with system size L, g is a selfmap on [0, 1] and alpha(1), alpha(2), alpha(3) is an element of [0, 1] with alpha(1) + alpha(2) + alpha(3) = 1 are coupling constants. In particular, it is shown that if g is turbulent (resp. erratic) then so is the above system, and that if there exists a g-connected family G with respect to disjointed compact subsets D-1, D-2, ... , D-m, then there is a compact invariant set K' subset of D' such that F vertical bar(K') is semi-conjugate to m-shift for any coupling constants, alpha(1), alpha(2), alpha(3) is an element of [0, 1] with alpha(1) + alpha(2) + alpha(3) = 1, where D' subset of I-L is nonempty and compact. Moreover, an example and two problems are given. (c) 2020 University of Kashan Press. All rights reserved