Abstract

We rigorously show that there can exist Strange Nonchaotic Attractors (SNA) in the quasi-periodically forced quadratic (or logistic) map $$(\theta,x)\mapsto(\theta+\omega,c(\theta)x(1-x))$$ for certain choices of \({c:\mathbb{T} \to [3/2,4]}\) and Diophantine ω.

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