Abstract
We rigorously show that there can exist Strange Nonchaotic Attractors (SNA) in the quasi-periodically forced quadratic (or logistic) map
for certain choices of \({c:\mathbb{T} \to [3/2,4]}\) and Diophantine ω.
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Bjerklöv, K. SNA’s in the Quasi-Periodic Quadratic Family. Commun. Math. Phys. 286, 137–161 (2009). https://doi.org/10.1007/s00220-008-0626-y
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DOI: https://doi.org/10.1007/s00220-008-0626-y