title: Strange nonchaotic attractors in Harper maps.
abstract: We study the existence of strange nonchaotic attractors (SNA) in the family of Harper maps. We prove that for a set of parameters of positive measure, the map possesses a SNA. However, the set is nowhere dense. By changing the parameter arbitrarily small amounts, the attractor is a smooth curve and not a SNA.
authors.affiliation: Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, Barcelona 08007, Spain.
authors.forename: Alex
authors.initials: A
authors.lastname: Haro
authors.forename: Joaquim
authors.initials: J
authors.lastname: Puig
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008433:Mathematics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods*; D013598:Systems Theory