Generalized dimensions of Feigenbaum's attractor from renormalization-group functional equations
Chaotic Dynamics
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.nlin/0204059,
title = {Generalized dimensions of Feigenbaum's attractor from renormalization-group functional equations},
author = {S. P. Kuznetsov and A. H. Osbaldestin},
journal= {arXiv preprint arXiv:nlin/0204059},
year = {2007}
}
Comments
6 pages, 2 tables