In García Guirao and Lampart (J Math Chem 48:159–164, 2010) presented a lattice dynamical system stated by Kaneko (Phys Rev Lett 65:1391–1394, 1990) which is related to the Belusov–Zhabotinskii reaction. In this note, we give an example which shows that the proofs of Theorems 3.1 and 3.2 in [J Math Chem 51:1410–1417, 2013] are incorrect, and two open problems.
Coupled map lattice Distributional (p, q)-chaos Principal measure Devaney’s chaos Chaos in the sense of Li–Yorke Tent map
Mathematics Subject Classification
54H20 37B40 37D45
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This research was supported by the NSF of Guangdong Province (Grant 10452408801004217), the Key Scientific and Technological Research Project of Science and Technology Department of Zhanjiang City (Grant 2010C3112005), the Science and Technology Promotion Special of Ocean and Fisheries of Guangdong Province (A201008A05), and Guangdong science and technology plan projects (Grant 2009B030803014).
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