Dynamical behaviour at the Onset of chaos

Anno: 1988

Autori: Anania G., Politi A.

Affiliazione autori: Istituto Nazionale di Ottica, Largo E. fermi 6, I-50125 Firenze, Italy
I.N.F.N., Sezione di Firenze, Italy

Abstract: Power-law divergence of nearby trajectories on the Feigenbaum attractor is discussed in terms of the algebraic index β. A statistical analysis is performed by following a multifractal approach. As a result, a fluctuating spectrum h(β) is found, whose complete characterization requires the introduction of a generalized “multispectral” analysis. A simple model of period-doubling is extensively discussed, allowing to clarify many details of the related problems. A similar approach is expected to work in generic transitions towards chaotic behaviour.

Giornale/Rivista: EUROPHYSICS LETTERS

Volume: 7 (2)      Da Pagina: 119  A: 124

Parole chiavi: chaotic behaviour
DOI: 10.1209/0295-5075/7/2/005

Citazioni: 36
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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