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2013 Chaos for Discrete Dynamical System
Lidong Wang, Heng Liu, Yuelin Gao
J. Appl. Math. 2013: 1-4 (2013). DOI: 10.1155/2013/212036

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.

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Lidong Wang. Heng Liu. Yuelin Gao. "Chaos for Discrete Dynamical System." J. Appl. Math. 2013 1 - 4, 2013. https://doi.org/10.1155/2013/212036

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1267.37011
MathSciNet: MR3039719
Digital Object Identifier: 10.1155/2013/212036

Rights: Copyright © 2013 Hindawi

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