# Lyapunov exponents for families of rotated linear cocycles

Pancho Valenzuela-Henríquez, Carlos H. Vásquez

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

## Resumen

Consider a compact metric space X, a homeomorphism T: X → X and an ergodic T-invariant measure μ. In this work, we are interested in the study of the upper Lyapunov exponent λ+(θ) associated to the periodic family of cocycles defined by where is a linear cocycle orientation-preserving and Rθ is a rotation of angle θεℝ. We show that if the cocycle A has dominated splitting, then there exists a non empty open set of parameters θ such that the cocycle Aθ has dominated splitting and the function is real analytic and strictly concave. As a consequence, we obtain that the set of parameters θ where the cocycle Aθ does not have dominated splitting is non empty.

Idioma original Inglés 2423-2440 18 Nonlinearity 28 7 https://doi.org/10.1088/0951-7715/28/7/2423 Publicada - 1 jul. 2015 Sí

## Huella

Profundice en los temas de investigación de 'Lyapunov exponents for families of rotated linear cocycles'. En conjunto forman una huella única.