Distributional chaos caused by snap-back repeller in metric space

DOI10.1016/J.JMAA.2013.01.057zbMath1306.37017OpenAlexW2061912069MaRDI QIDQ2257657

Lidong Wang, Guifeng Huang, Hui Wang

Publication date: 26 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.057

zbMATH Keywords

snap-back repellerdistributional chaos

Mathematics Subject Classification ID

Topological entropy (37B40)

Related Items (1)

Chaos in a duopoly model of technological innovation with bounded rationality based on constant conjectural variation

Cites Work

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• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy
• Chaos of discrete dynamical systems in complete metric spaces
• Distributional chaos in a sequence
• Substitution systems and the three versions of distributional chaos
• On redefining a snap-back repeller
• Relations between distributional, Li--Yorke and \(\omega\) chaos
• Distributional chaos revisited
• Period Three Implies Chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Snap-back repellers and scrambled sets in general topological spaces

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