An example of unbounded chaos

DOI10.1080/10236198.2011.598519zbMath1259.37025arXiv1006.0604OpenAlexW2031051485MaRDI QIDQ4899079

Bau-Sen Du

Publication date: 4 January 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0604

zbMATH Keywords

topological entropytopological mixingtransitive pointsinvariant scrambled sets

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Periodicity and convergence for \(x_{n+1}=| x_{n}-x_{n-1}|\).
• Constructing singular functions via Farey fractions
• The Li-Yorke theorem and infinite discontinuities
• On the invariance of Li–Yorke chaos of interval maps

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