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Generalized dimensions of Feigenbaum's attractor from renormalization-group functional equations
preprint
posted on 2005-08-22, 14:48 authored by Sergey P. Kuznetsov, Andrew H. OsbaldestinA 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 coeffecient
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.
History
School
- Science
Department
- Mathematical Sciences
Pages
80749 bytesPublication date
2002Notes
This is a pre-print.Language
- en