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A note on circle maps driven by strongly expanding endomorphisms on T
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2018 (English)In: Dynamical systems, ISSN 1468-9367, E-ISSN 1468-9375, Vol. 33, no 2, p. 361-368Article in journal (Refereed) Published
Abstract [en]

We investigate the dynamics of a class of smooth maps of the two-torus T2 of the form T(x, y) = (Nx, f(x)(y)), where f(x) : T -> T is a monotone family (in x) of orientation preserving circle diffeomorphisms and N is an element of Z(+) is large. For our class of maps, we show that the dynamics essentially is the same as that of the projective action of non-uniformly hyperbolic SL(2, R)-cocycles. This generalizes a result by L.S. Young [6] to maps T outside the (projective) matrix cocycle case.

Place, publisher, year, edition, pages
TAYLOR & FRANCIS LTD , 2018. Vol. 33, no 2, p. 361-368
Keywords [en]
Lyapunov exponents, synchronization, forced circle diffeomorphisms
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:kth:diva-227244DOI: 10.1080/14689367.2017.1386161ISI: 000430481600011Scopus ID: 2-s2.0-85031396752OAI: oai:DiVA.org:kth-227244DiVA, id: diva2:1203903
Note

QC 20180504

Available from: 2018-05-04 Created: 2018-05-04 Last updated: 2018-05-04Bibliographically approved

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  • nn-NB
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