Wang, Lidong; Huang, Guifeng; Wang, Na Weakly almost periodicity and distributional chaos in a sequence. (English) Zbl 1186.37017 Int. J. Mod. Phys. B 21, No. 31, 5283-5290 (2007). Summary: Let \((\Sigma, \rho)\) be a one-sided symbolic space (with two symbols) and \(\rho\) be the shift on \(\Sigma\). Denote the set of almost periodic points by \(A(\cdot)\) and the set of weakly almost periodic points by \(W(\cdot)\). In this paper, we prove that there exists an uncountable set \(J\) such that \(\sigma|J\) is distributively chaotic in a sequence, and \(J\subset W(\sigma)-A(\sigma)\). Cited in 6 Documents MSC: 37B10 Symbolic dynamics Keywords:weakly almost periodic points; distributional chaos in a sequence; shift PDF BibTeX XML Cite \textit{L. Wang} et al., Int. J. Mod. Phys. B 21, No. 31, 5283--5290 (2007; Zbl 1186.37017) Full Text: DOI References: [1] Zhou Z. L., Sci. China (A) 22 pp 572– [2] Schweizer B., Trans. Amer. Math. Soc. 334 pp 737– [3] Devaney R. L., An Introduction to Chaotic Dynamical Systems (1989) · Zbl 0695.58002 [4] Wang L., Annls. Polonici Mathematici LXX VIII 2 pp 123– [5] Yang R., Acta Mathematica Sinic 45 pp 753– [6] Jiang H. J., J. Math. (PRC) 19 pp 56– [7] DOI: 10.2307/2318254 · Zbl 0351.92021 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.