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Strange nonchaotic attractors in Harper maps
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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.
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HARO, Àlex and PUIG I SADURNÍ, Joaquim. Strange nonchaotic attractors in Harper maps. Chaos. 2006. Vol. 16, num. 3, pags. 033127. ISSN 1054-1500. [consulted: 13 of October of 2026]. Available at: https://hdl.handle.net/2445/21865