On the geometric structure of non-hyperbolic attractors
Anno: 1988
Autori: Politi A., Badii R., Grassberger P.
Affiliazione autori: 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.
Giornale/Rivista: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume: 21 Da Pagina: L763 A: L769
Parole chiavi: non-hyperbolic attractorsDOI: 10.1088/0305-4470/21/15/004Citazioni: 20dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui