Renormalization of correlations and spectra of a strange non-chaotic attractor
Anno: 1996
Autori: Feudel U., Pikovsky A., Politi A.
Affiliazione autori: Max-Planck-Arbeitsgruppe Nichtlineare Dynamik, Universitat Potsdam, Potsdam, Germany;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
INFM, Unità di Firenze, Italy;
INFN, Sez. di Firenze, Italy
Abstract: We study a simple nonlinear mapping with a strange nonchaotic attractor characterized by a singular continuous power spectrum. We show that the symbolic dynamics is exactly described by a language generated from a suitable inflation rule. We derive renormalization transformations for both the power spectrum and the autocorrelation function, thus obtaining a quantitative description of the scaling properties. The multifractal nature of the spectrum is also discussed.
Giornale/Rivista: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume: 29(17) Da Pagina: 5297 A: 5311
Parole chiavi: STRUCTURE INTERMEDIATE; NONCHAOTIC ATTRACTORS; SYSTEMDOI: 10.1088/0305-4470/29/17/008Citazioni: 28dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti 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