A note on circle maps driven by strongly expanding endomorphisms on. Issue 2 (3rd April 2018)

• Record Type: Journal Article
• Authors: Bjerklöv, Kristian
• Is Part Of: Dynamical systems. Volume 33:Issue 2(2018)
• Page Start: 361
• Page End: 368
• Publication Date: 2018-04-03
• Subjects: Lyapunov exponents -- synchronization -- forced circle diffeomorphisms; Differentiable dynamical systems -- Periodicals; 515.35205
• DOI: 10.1080/14689367.2017.1386161
• Languages: English
• ISSNs: 1468-9367

Abstract

ABSTRACT: We investigate the dynamics of a class of smooth maps of the two-torus of the form T ( x, y ) = ( Nx, f x ( y )), where is a monotone family (in x ) of orientation preserving circle diffeomorphisms and 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 -cocycles. This generalizes a result by L.S. Young [6] to maps T outside the (projective) matrix cocycle case.