On the geometric structure of non-hyperbolic attractors

Year: 1988

Authors: Politi A., Badii R., Grassberger P.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6 Firenze, Italy;
Departament of Chemical Physics, The Weizmann Institute of Science, Rehovot, Israel;
Physics Departament , University of Wuppertal, FRG

Abstract: We discuss the f(α), spectrum of non-hyperbolic attractors of the Henon type. We elucidate the origin of the ‘phase transition’ found in a previous paper, and give a lower bound to the spectrum in the non-hyperbolic ‘phase’ where Kaplan-Yorke-type formulae no longer hold. Our results disagree with other recent attempts. Numerical simulations for the Henon map agree with analytical estimates.

Journal/Review: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Volume: 21      Pages from: L763  to: L769

KeyWords: non-hyperbolic attractors
DOI: 10.1088/0305-4470/21/15/004

Citations: 20
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