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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0209033 (nlin)
[Submitted on 16 Sep 2002]

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

Authors:Jong-Won Kim, Sang-Yoon Kim, Brian Hunt, Edward Ott
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Abstract: 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.
Comments: 9 pages, 14 figures
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0209033 [nlin.CD]
  (or arXiv:nlin/0209033v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0209033
Related DOI: https://doi.org/10.1103/PhysRevE.67.036211

Submission history

From: Jong-Won Kim [view email]
[v1] Mon, 16 Sep 2002 12:39:36 UTC (336 KB)
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