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: ATTRACTORS
DOI: 10.1088/0305-4470/24/8/024

Citazioni: 22
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12
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