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

Jong-Won Kim·Sang-Yoon Kim·Brian Hunt·Edward Ott
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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.

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Jong-Won Kim, Sang-Yoon Kim, Brian Hunt, Edward Ott. 2002-09-16. Fractal Properties of Robust Strange Nonchaotic Attractors in Maps of Two or More Dimensions. https://doi.org/10.1103/physreve.67.036211

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