Strange Nonchaotic Attractors in Harper Maps

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.

References in corpus (7)

• Strange Nonchaotic Attractors
• A Nonperturbative Eliasson's Reducibility Theorem
• Collision and symmetry-breaking in the transition to strange nonchaotic attractors
• Self-Similarity and Localization
• Critical States and Fractal Attractors in Fractal Tongues: Localization in the Harper map
• Fractal Structure of the Harper Map Phase Diagram from Topological Hierarchical Classification
• Phase Diagram Structure of the Harper Map

Cited by in corpus (3)

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