Fractal properties of robust strange nonchaotic attractors.

Abstract

For a simple class of quasiperiodically forced dynamical systems, we present a rigorous result supporting the idea that the attractors for this class of systems, although nonchaotic, are strange in the sense that their box-counting dimension is two while their information dimension is one. Furthermore, this result is stable to changes of the system, suggesting that the basic features leading to it may be present in typical quasiperiodically forced systems.