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

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

2002-09-16

arxiv.org/abs/nlin/0209033v1

Nonlinear Sciences

Chaotic Dynamics

9 pages, 14 figures

Scientific paper

10.1103/PhysRevE.67.036211

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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