Shift spaces and distributional chaos

Piotr Oprocha and Paweł Wilczyński

Chaos, Solitons & Fractals, 2007, vol. 31, issue 2, 347-355

Abstract: We give sufficient conditions for a shift to be distributionally chaotic and chaotic in the sense of Li and Yorke. In the case of cocyclic shifts we show the equivalence between distributional chaos, chaos in the sense of Li and Yorke, positivity of entropy and uncountability of subshift.

Date: 2007
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:2:p:347-355

DOI: 10.1016/j.chaos.2005.09.069

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