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- W2045086316 abstract "For an irreducible transition matrix A of size m × m, which is not a permutation, a map f : X → X is said to be strictly A-coupled-expanding if there are nonempty sets V 1 ,…, V m ⊂ X such that the distance between any two of them is positive and f(V i ) ⊃ V j holds whenever a ij = 1. This paper presents two theorems that give sufficient conditions for a strictly A-coupled-expanding map to be chaotic on part of its domain in the sense of, respectively, Auslander and Yorke and Devaney. These results improve on the work of Zhang and Shi [2010]. An example is provided to illustrate that the class of maps the new theorems apply to is significantly wider." @default.
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- W2045086316 date "2013-01-01" @default.
- W2045086316 modified "2023-10-03" @default.
- W2045086316 title "COUPLED-EXPANDING MAPS AND MATRIX SHIFTS" @default.
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- W2045086316 doi "https://doi.org/10.1142/s0218127413500132" @default.
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