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Lacunarity and period-doubling

Glendinning, Paul and Smith, Leonard A. (2013) Lacunarity and period-doubling. Dynamical Systems . pp. 1-11. ISSN 1468-9367

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We show that the deviation from power laws of the scaling of chaotic measures, such as Lyapunov exponents and topological entropy, is periodic in the logarithm of the distance from the accumulation of period doubling. Moreover, this periodic function is asymptotically universal for each measure (for functions in the appropriate universality class). This is related to the concept of lacunarity known to exist for scaling functions describing the mass distribution of self-similar fractal sets.

Item Type: Article
Official URL:
Additional Information: © 2013 Taylor & Francis
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Statistics
Research centres and groups > Centre for the Analysis of Time Series (CATS)
Funders: Engineering and Physical Sciences Research Council
Date Deposited: 04 Feb 2013 14:05

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