Discontinuity of topological entropy for Lozi maps

DOI10.1017/S0143385711000411zbMath1267.37016arXiv1007.0071OpenAlexW2962833262WikidataQ60111329 ScholiaQ60111329MaRDI QIDQ4911048

Izzet B. Yildiz

Publication date: 13 March 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0071

zbMATH Keywords

topological entropyupper-semicontinuityLozi map

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Topological entropy (37B40)

Cites Work

• A two-dimensional mapping with a strange attractor
• Volume growth and entropy
• Continuity properties of entropy
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Monotonicity of the Lozi family near the tent-maps
• Abundance of homoclinic and heteroclinic orbits and rigorous bounds for the topological entropy for the Hénon map
• Monotonicity of the Lozi family and the zero entropy locus
• Maximal entropy measures for piecewise affine surface homeomorphisms
• Computer assisted proof of chaos in the Rössler equations and in the Hénon map
• A Minimal Positive Entropy Homeomorphism of the 2-Torus
• Lap number entropy formula for piecewise affine and projective maps in several dimensions

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