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2012.73: Lacunarity and Period-doubling

2012.73: Paul Glendinning and Leonard A. Smith (2012) Lacunarity and Period-doubling.

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Abstract

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:MIMS Preprint
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CICADA

Uncontrolled Keywords:lacunarity, fractal, period-doubling, universality class
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MIMS number:2012.73
Deposited By:Professor Paul Glendinning
Deposited On:03 August 2012

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