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- Title
Positive Lyapunov exponent for a class of quasi-periodic cocycles.
- Authors
Liang, Jinhao
- Abstract
Young [17] proved the positivity of Lyapunov exponent in a large set of the energies for some quasi-periodic cocycles. Her result is also proved to be applicable for some quasi-periodic Schrödinger cocycles by Zhang [18]. However, her result cannot be applied to the Schrödinger cocycles with the potential v = cos(4πx) + w(x), where w ∈ C2(R/Z, R) is a small perturbation. In this paper, we will improve her result such that it can be applied to more cocycles.
- Subjects
LYAPUNOV exponents; COCYCLES; EXPONENTS; ORLICZ spaces
- Publication
Discrete & Continuous Dynamical Systems: Series A, 2020, Vol 40, Issue 3, p1361
- ISSN
1078-0947
- Publication type
Article
- DOI
10.3934/dcds.2020080