Homoclinic tangencies, generating partitions and curvature of invariant manifolds
Anno: 1991
Autori: Giovannini F., Politi A.
Affiliazione autori: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy
Abstract: A method to compute the curvature of the unstable manifold is introduced and applied to Henon map and Duffing attractor, showing that it allows us to locate the homoclinic tangencies and, in turn, to construct a generating partition. The probability distribution of curvature-values is investigated, showing a power-law decay. Finally, the shape of the multifractal spectrum of effective Liapunov exponents in non-hyperbolic systems is discussed.
Giornale/Rivista: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume: 24 (8) Da Pagina: 1837 A: 1887
Parole chiavi: ATTRACTORSDOI: 10.1088/0305-4470/24/8/024Citazioni: 22dati 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