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Phys. Rev. E 67, 036211 (2003) [8 pages]

Fractal properties of robust strange nonchaotic attractors in maps of two or more dimensions

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Jong-Won Kim1, Sang-Yoon Kim2,*, Brian Hunt3, and Edward Ott1,4
1Institute for Research in Electronics and Applied Physics, and Department of Physics, University of Maryland, College Park, Maryland 20742
2Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742
3Institute for Physical Science and Technology, and Department of Mathematics, University of Maryland, College Park, Maryland 20742
4Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742

Received 16 September 2002; published 26 March 2003

We consider the existence of robust strange nonchaotic attractors 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 D0 is larger than their information dimension D1 by 1 (i.e., D0=D1+1). We also show how this property is manifested in numerical experiments.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.036211
DOI:
10.1103/PhysRevE.67.036211
PACS:
05.45.Df, 05.45.Ac, 05.45.Pq

*Permanent address: Department of Physics, Kangwon National University, Chunchon, Kangwon-Do 200-701, Korea.

 
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