paper

Strange Nonchaotic Attractors in Harper Maps

arXiv:nlin/0510073 · doi:10.1063/1.2259821

Abstract

We study the existence of Strange Nonchaotic Attractors (SNA) in the family of Harper maps, proving that they are typical but not robust in this family. Our approach is based on the theory of linear skewproducts and the spectral theory of Schrodinger operators.