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Phys. Rev. Lett. 87, 254101 (2001) [4 pages]

Fractal Properties of Robust Strange Nonchaotic Attractors

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Brian R. Hunt* and Edward Ott
University of Maryland, College Park, Maryland 20742-2431

Received 22 January 2001; published 29 November 2001

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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.254101
DOI:
10.1103/PhysRevLett.87.254101
PACS:
05.45.Df, 05.45.Ac, 05.45.Pq

*Institute for Physical Science and Technology, and Department of Mathematics.

Institute for Plasma Research, Department of Physics, and Department of Electrical and Computer Engineering.