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APS » Journals » Phys. Rev. Lett. » Volume 71 » Issue 25
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Phys. Rev. Lett. 71, 4134–4137 (1993)

Scaling behavior of chaotic systems with riddled basins

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Edward Ott, John C. Sommerer, James C. Alexander, Ittai Kan, and James A. Yorke
University of Maryland, College Park, Maryland 20742
M. S. Eisenhower Research Center, Johns Hopkins University Applied Physics Laboratory, Laurel, Maryland 20723
Department of Mathematics, George Mason University, Fairfax, Virginia 22030

Received 30 July 1993; published in the issue dated 20 December 1993

Recently it has been shown that there are chaotic attractors whose basins are such that every point in the attractor’s basin has pieces of another attractor’s basin arbitrarily nearby (the basin is ‘‘riddled’’ with holes). Here we report quantitative theoretical results for such basins and compare with numerical experiments on a simple physical model.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.71.4134
DOI:
10.1103/PhysRevLett.71.4134
PACS:
05.45.+b
 
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