Note on Lyapunov exponent for critical circle maps

DOI10.1007/s00574-022-00305-9OpenAlexW4283761810MaRDI QIDQ2091190

Haoyang Ji

Publication date: 31 October 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-022-00305-9

zbMATH Keywords

Lyapunov exponentcircle mapbounded geometryslow recurrence

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• Real bounds and Lyapunov exponents
• Non-uniform hyperbolicity and universal bounds for \(S\)-unimodal maps
• Positive Lyapunov exponents in families of one dimensional dynamical systems
• The slow recurrence and stochastic stability of unimodal interval maps with wild attractors
• Lyapunov Characteristic Exponents are Nonnegative
• Exponents, attractors and Hopf decompositions for interval maps
• Universal estimates for critical circle mappings
• There are no σ-finite absolutely continuous invariant measures for multicritical circle maps ^*

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