High-dimensional chaos in delayed dynamical-systems

Year: 1994

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

Autors Affiliation: 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.

Journal/Review: PHYSICA D-NONLINEAR PHENOMENA

Volume: 70 (3)      Pages from: 235  to: 249

KeyWords: FEEDBACK; ATTRACTORS;
DOI: 10.1016/0167-2789(94)90016-7

Citations: 86
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