%0 Book Section %1 statphys23_1039 %A Robledo, A. %A Moyano, L.G. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K dynamical dynamics fractals nonlinear statphys23 systems topic-5 %T Dynamical properties of superstable attractors in the logistic map %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1039 %X The family of periodic superstable cycles of the logistic map, characterized by a Lyapunov exponent that diverges to minus infinity, present remarkable features. For example, successive superstable cycles illustrate the fractal structure of the Feigenbaum attractor. Moreover, the basin of attraction for the phases of these cycles develops fractal boundaries of increasing complexity as the period-doubling structure advances towards the transition to chaos. In this talk, we will present previously unknown results on this topic. We will also comment on the dynamical properties of the trajectories that either evolve towards its attractor or are ``captured'' by its matching repellor.

@incollection{statphys23_1039, abstract = {The family of periodic superstable cycles of the logistic map, characterized by a Lyapunov exponent that diverges to minus infinity, present remarkable features. For example, successive superstable cycles illustrate the fractal structure of the Feigenbaum attractor. Moreover, the basin of attraction for the phases of these cycles develops fractal boundaries of increasing complexity as the period-doubling structure advances towards the transition to chaos. In this talk, we will present previously unknown results on this topic. We will also comment on the dynamical properties of the trajectories that either evolve towards its attractor or are ``captured'' by its matching repellor.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Robledo, A. and Moyano, L.G.}, biburl = {https://www.bibsonomy.org/bibtex/2a34bfdc53e52684de2060dcf9d40b928/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {5623b8dc1a6bffecc0448a4b459adb99}, intrahash = {a34bfdc53e52684de2060dcf9d40b928}, keywords = {dynamical dynamics fractals nonlinear statphys23 systems topic-5}, month = {9-13 July}, timestamp = {2007-06-20T10:16:37.000+0200}, title = {Dynamical properties of superstable attractors in the logistic map}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1039}, year = 2007 }