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Fractal dimension in nonhyperbolic chaotic scatteringIn chaotic scattering there is a Cantor set of input-variable values of zero Lebesgue measure (i.e., zero total length) on which the scattering function is singular. For cases where the dynamics leading to chaotic scattering is nonhyperbolic (e.g., there are Kolmogorov-Arnol'd-Moser tori), the nature of this singular set is fundamentally different from that in the hyperbolic case. In particular, for the nonhyperbolic case, although the singular set has zero total length, strong evidence is presented to show that its fractal dimension is 1.
Document ID
19910042750
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Lau, Yun-Tung
(Maryland Univ. College Park, MD, United States)
Finn, John M.
(Maryland Univ. College Park, MD, United States)
Ott, Edward
(Maryland, University College Park, United States)
Date Acquired
August 14, 2013
Publication Date
February 25, 1991
Publication Information
Publication: Physical Review Letters
Volume: 66
ISSN: 0031-9007
Subject Category
Physics (General)
Accession Number
91A27373
Distribution Limits
Public
Copyright
Other

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