Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps

Risong Li, Tianxiu Lu, Jingmin Pi and Waseem Anwar

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

Abstract: Let hss=1∞ be a sequence of continuous maps on a compact metric space W which converges uniformly to a continuous map h on W. In this paper, some equivalence conditions or necessary conditions for the limit map h to be distributional chaotic are obtained (where distributional chaoticity includes distributional chaotic in a sequence, distributional chaos of type 1 (DC1), distributional chaos of type 2 (DC2), and distributional chaos of type 3 (DC3)).

Date: 2022
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https://doi.org/10.1155/2022/5481666

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:5481666

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