Some Chaotic Properties of a Coupled Lattice System Related with Belusov-Zhabotinsky Reaction

摘要

In Guirao (MATCH Commun Math Comput Chem 64:335-344, 2010) studied distributional chaos of a family of coupled lattice dynamical systems (CLSs) which generalize the model stated by Kaneko (Phys Rev Lett 65:1391-1394, 1990). He also presented a definition of distributional chaos on a sequence (DCS) for CLSs and stated two different sufficient conditions for a given CLS to exhibit DCS. Inspired by his work, in this paper we explore some chaotic properties of the map which is deduced by a kind of coupled map lattice (CML). In particular, some sufficient conditions under which a given CML is (F-1, F-2)-chaotic, -chaotic or topologically chaotic are obtained. And the conclusions discussed above are examined when the metric changes. Moreover, it is pointed out that some CMLs can be simplified to a simpler CLS.