%0 Journal Article
%T Turbulence, Erratic Property and Horseshoes in a Coupled Lattice System related with Belusov−Zhabotinsky Reaction
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Zhao, Yu
%A Li, Risong
%D 2020
%\ 09/01/2020
%V 11
%N 3
%P 133-140
%! Turbulence, Erratic Property and Horseshoes in a Coupled Lattice System related with Belusov−Zhabotinsky Reaction
%K Coupled map lattice
%K Turbulence
%K Erratic property
%K Tent map
%R 10.22052/ijmc.2020.160449.1413
%X In this paper we continue to study the chaotic properties of the following lattice dynamical system: bji+1= a1 g(bji)+ a2 g(bj-1i)+ a3 g(bj+1i), where i is discrete time index, j is lattice side index with system size L, g is a selfmap on [0, 1] and a1+a2+a3 ∊ [0, 1] with a1+a2+a3=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 D1, D2, …, Dm, then there is a compact invariant set K'⊆D' such that F |K' is semi-conjugate to m-shift for any coupling constants a1+a2+a3 ∊ [0, 1] with a1+a2+a3=1, where D' ⊆ IL is nonempty and compact. Moreover, an example and two problems are given.
%U https://ijmc.kashanu.ac.ir/article_110810_ef4de719dcba034b6498afbc94e028ce.pdf