Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2002-04-25
Nonlinear Sciences
Chaotic Dynamics
6 pages, 2 tables
Scientific paper
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.
Kuznetsov Sergey P.
Osbaldestin Andrew H.
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