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On the Lyapunov Exponents for a Class of Circle Diffeomorphisms Driven by Expanding Circle Endomorphisms
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2020 (English)In: Journal of Dynamics and Differential Equations, ISSN 1040-7294, E-ISSN 1572-9222Article in journal (Refereed) Published
Abstract [en]

We consider skew-product maps on T2 of the form F(x, y) = (bx, x+ g(y) ) where g: T→ T is an orientation-preserving C2-diffeomorphism and b≥ 2 is an integer. We show that the fibred (upper and lower) Lyapunov exponent of almost every point (x, y) is as close to ∫ Tlog (g′(η) ) dη as we like, provided that b is large enough.

Place, publisher, year, edition, pages
Springer , 2020.
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:kth:diva-285372DOI: 10.1007/s10884-020-09876-xISI: 000552267700001Scopus ID: 2-s2.0-85088447734OAI: oai:DiVA.org:kth-285372DiVA, id: diva2:1505272
Note

QC 20201130

Available from: 2020-11-30 Created: 2020-11-30 Last updated: 2024-01-10Bibliographically approved

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Bjerklöv, Kristian

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