@article{f665ee4874914ce199b7c0e8686c45e0, title = "Some properties of coupled-expanding maps in compact sets", abstract = "In this paper, some properties of a strictly A-coupled-expanding map in compact subsets of a metric space are studied, where A is a transition matrix. It is shown that this map has a compact invariant set on which it is topologically semi-conjugate to the subshift for A. If the subshift for A has positive topological entropy, then the map is chaotic in the sense of Li- Yorke. Moreover, in the one-dimensional case, the map is at most two-to-one conjugate to the subshift for A and chaotic in the sense of Devaney. {\textcopyright} 2012 American Mathematical Society.", keywords = "Chaos, Coupled-expanding map, Topological entropy, Topological semi-conjugacy, Transition matrix", author = "Xu Zhang and Yuming Shi and Guanrong Chen", year = "2013", doi = "10.1090/S0002-9939-2012-11339-5", language = "English", volume = "141", pages = "585--595", journal = "Proceedings of the American Mathematical Society", issn = "0002-9939", publisher = "American Mathematical Society", number = "2", }