High-dimensional chaos in delayed dynamical-systems

Anno: 1994

Autori: Lepri S., Giacomelli G., Politi A., Arecchi F.T.

Affiliazione autori: Istituto Nazionale di Ottica, largo E. Fermi 6, 50125 Firenze, Italy

Abstract: We introduce a general class of iterative delay maps to model high-dimensional chaos in dynamical systems with delayed feedback. The class includes as particular cases systems with a linear local dynamics. We report analytic and numerical results on the scaling laws of Lyapunov spectra with a number of degrees of freedom. Invariant measure is computed through a self-consistent Frobenius-Perron formalism, which allows also a recalculation of the maximum Lyapunov exponent in good agreement with the one measured directly.

Giornale/Rivista: PHYSICA D-NONLINEAR PHENOMENA

Volume: 70 (3)      Da Pagina: 235  A: 249

Parole chiavi: Feedback; Attractors
DOI: 10.1016/0167-2789(94)90016-7

Citazioni: 91
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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