Generalized dimensions of Feigenbaum's attractor from renormalization-group functional equations

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A method is suggested for the computation of the generalized dimensions of fractal attractors at the period-doubling transition to chaos. The approach is based on an eigenvalue problem formulated in terms of functional equations, with a coefficient expressed in terms of Feigenbaum's universal fixed-point function. The accuracy of the results is determined only by precision of the representation of the universal function.
6 pages, 2 tables

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/80222

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0204059
 http://arxiv.org/abs/nlin/0204059

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arXiv