Chaos for Discrete Dynamical System

Lidong Wang, Heng Liu and Yuelin Gao

Journal of Applied Mathematics, 2013, vol. 2013, 1-4

Abstract:

We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke. We also prove that a dynamical system is distributively chaotic in a sequence, when it is chaotic in the strong sense of Li-Yorke.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:212036

DOI: 10.1155/2013/212036

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