Dynamical fractal properties of one-dimensional maps

Publisher Website
Google Scholar
Abstract
The interpretation of the dynamical scaling indices for transient chaos is given. The spectrum of these scaling indices is calculated in an exactly solvable example of chaotic repellers and, by means of a perturbative method, in a class of chaotic attractors in crisis. An approximate form of the universal spectrum related to the universal chaos function is derived. We point out a degeneracy in the spectrum appearing in an intermittent situation.