Strange Nonchaotic Attractors in Harper Maps

Details Strange Nonchaotic Attractors in Harper Maps Strange Nonchaotic Attractors in Harper Maps

2005-10-28

arxiv.org/abs/nlin/0510073v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1063/1.2259821

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.

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