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Phys. Rev. A 39, 2734–2737 (1989)

Finite-size effects on the f(α) spectrum of the period-doubling attractor

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M. G. Cosenza, W. D. McCormick, and J. B. Swift
Center for Nonlinear Dynamics and Department of Physics, University of Texas at Austin, Austin, Texas 78712

Received 11 October 1988; published in the issue dated March 1989

Quadratic maps are used to study the spectrum of singularities of the period-doubling attractor close to and at the onset of chaos. Finite approximations of the critical orbit have observable effects on the determination of f(α) which can be predicted by using the scaling properties of the attractor.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.39.2734
DOI:
10.1103/PhysRevA.39.2734
PACS:
05.45.+b, 02.60.+y