Fractal Properties of Robust Strange Nonchaotic Attractors in Maps of Two or More Dimensions

Abstract

We consider the existence of robust strange nonchaotic attractors (SNA's) in a simple class of quasiperiodically forced systems. Rigorous results are presented demonstrating that the resulting attractors are strange in the sense that their box-counting dimension is N+1 while their information dimension is N. We also show how these properties are manifested in numerical experiments.

9 pages, 14 figures

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